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<!DOCTYPE html>
<html><head>
<!-- saved from url=(0014)about:internet --><!-- MSIE Mark of the Web -->
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="keywords" content="MathPageGen">
<meta name="Generator" content="MathPage 1.0.1">
<meta name="Originator" content="Microsoft Word 12">
<title>Test Set for MathML Cloud</title>
<style type="text/css">.MathJax_Hover_Frame {border-radius: .25em; -webkit-border-radius: .25em; -moz-border-radius: .25em; -khtml-border-radius: .25em; box-shadow: 0px 0px 15px #83A; -webkit-box-shadow: 0px 0px 15px #83A; -moz-box-shadow: 0px 0px 15px #83A; -khtml-box-shadow: 0px 0px 15px #83A; border: 1px solid #A6D ! important; display: inline-block; position: absolute}
.MathJax_Hover_Arrow {position: absolute; width: 15px; height: 11px; cursor: pointer}
</style><style type="text/css">#MathJax_About {position: fixed; left: 50%; width: auto; text-align: center; border: 3px outset; padding: 1em 2em; background-color: #DDDDDD; color: black; cursor: default; font-family: message-box; font-size: 120%; font-style: normal; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 15px; -webkit-border-radius: 15px; -moz-border-radius: 15px; -khtml-border-radius: 15px; box-shadow: 0px 10px 20px #808080; -webkit-box-shadow: 0px 10px 20px #808080; -moz-box-shadow: 0px 10px 20px #808080; -khtml-box-shadow: 0px 10px 20px #808080; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
.MathJax_Menu {position: absolute; background-color: white; color: black; width: auto; padding: 5px 0px; border: 1px solid #CCCCCC; margin: 0; cursor: default; font: menu; text-align: left; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; z-index: 201; border-radius: 5px; -webkit-border-radius: 5px; -moz-border-radius: 5px; -khtml-border-radius: 5px; box-shadow: 0px 10px 20px #808080; -webkit-box-shadow: 0px 10px 20px #808080; -moz-box-shadow: 0px 10px 20px #808080; -khtml-box-shadow: 0px 10px 20px #808080; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
.MathJax_MenuItem {padding: 1px 2em; background: transparent}
.MathJax_MenuArrow {position: absolute; right: .5em; color: #666666}
.MathJax_MenuActive .MathJax_MenuArrow {color: white}
.MathJax_MenuArrow.RTL {left: .5em; right: auto}
.MathJax_MenuCheck {position: absolute; left: .7em}
.MathJax_MenuCheck.RTL {right: .7em; left: auto}
.MathJax_MenuRadioCheck {position: absolute; left: .7em}
.MathJax_MenuRadioCheck.RTL {right: .7em; left: auto}
.MathJax_MenuLabel {padding: 1px 2em 3px 1.33em; font-style: italic}
.MathJax_MenuRule {border-top: 1px solid #DDDDDD; margin: 4px 3px}
.MathJax_MenuDisabled {color: GrayText}
.MathJax_MenuActive {background-color: #606872; color: white}
.MathJax_Menu_Close {position: absolute; width: 31px; height: 31px; top: -15px; left: -15px}
</style><style type="text/css">#MathJax_Zoom {position: absolute; background-color: #F0F0F0; overflow: auto; display: block; z-index: 301; padding: .5em; border: 1px solid black; margin: 0; font-weight: normal; font-style: normal; text-align: left; text-indent: 0; text-transform: none; line-height: normal; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; box-shadow: 5px 5px 15px #AAAAAA; -webkit-box-shadow: 5px 5px 15px #AAAAAA; -moz-box-shadow: 5px 5px 15px #AAAAAA; -khtml-box-shadow: 5px 5px 15px #AAAAAA; filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')}
#MathJax_ZoomOverlay {position: absolute; left: 0; top: 0; z-index: 300; display: inline-block; width: 100%; height: 100%; border: 0; padding: 0; margin: 0; background-color: white; opacity: 0; filter: alpha(opacity=0)}
#MathJax_ZoomFrame {position: relative; display: inline-block; height: 0; width: 0}
#MathJax_ZoomEventTrap {position: absolute; left: 0; top: 0; z-index: 302; display: inline-block; border: 0; padding: 0; margin: 0; background-color: white; opacity: 0; filter: alpha(opacity=0)}
</style><style type="text/css">.MathJax_Preview {color: #888}
#MathJax_Message {position: fixed; left: 1px; bottom: 2px; background-color: #E6E6E6; border: 1px solid #959595; margin: 0px; padding: 2px 8px; z-index: 102; color: black; font-size: 80%; width: auto; white-space: nowrap}
#MathJax_MSIE_Frame {position: absolute; top: 0; left: 0; width: 0px; z-index: 101; border: 0px; margin: 0px; padding: 0px}
.MathJax_Error {color: #CC0000; font-style: italic}
</style><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
.MathJax_SVG .MJX-monospace {font-family: monospace}
.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
.mjx-svg-href {fill: blue; stroke: blue}
</style></head>
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359T983 1440Q989 1450 1001 1450Q1007 1450 1013 1445T1020 1433Q1020 1425 742 244T460 -941Q458 -950 439 -950H436Q424 -950 424 -948Z"></path><path stroke-width="10" id="MJSZ2-2F" d="M78 -649Q56 -646 56 -625Q56 -614 382 261T712 1140Q716 1150 732 1150Q754 1147 754 1126Q754 1116 428 240T98 -639Q94 -649 78 -649Z"></path><path stroke-width="10" id="MJMAIN-50" d="M130 622Q123 629 119 631T103 634T60 637H27V683H214Q237 683 276 683T331 684Q419 684 471 671T567 616Q624 563 624 489Q624 421 573 372T451 307Q429 302 328 301H234V181Q234 62 237 58Q245 47 304 46H337V0H326Q305 3 182 3Q47 3 38 0H27V46H60Q102 47 111 49T130 61V622ZM507 488Q507 514 506 528T500 564T483 597T450 620T397 635Q385 637 307 637H286Q237 637 234 628Q231 624 231 483V342H302H339Q390 342 423 349T481 382Q507 411 507 488Z"></path><path stroke-width="10" id="MJMAIN-4D" d="M132 622Q125 629 121 631T105 634T62 637H29V683H135Q221 683 232 682T249 675Q250 674 354 398L458 124L562 398Q666 674 668 675Q671 681 683 682T781 683H887V637H854Q814 636 803 634T785 622V61Q791 51 802 49T854 46H887V0H876Q855 3 736 3Q605 3 596 0H585V46H618Q660 47 669 49T688 61V347Q688 424 688 461T688 546T688 613L687 632Q454 14 450 7Q446 1 430 1T410 7Q409 9 292 316L176 624V606Q175 588 175 543T175 463T175 356L176 86Q187 50 261 46H278V0H269Q254 3 154 3Q52 3 37 0H29V46H46Q78 48 98 56T122 69T132 86V622Z"></path><path stroke-width="10" id="MJMAIN-221D" d="M56 124T56 216T107 375T238 442Q260 442 280 438T319 425T352 407T382 385T406 361T427 336T442 315T455 297T462 285L469 297Q555 442 679 442Q687 442 722 437V398H718Q710 400 694 400Q657 400 623 383T567 343T527 294T503 253T495 235Q495 231 520 192T554 143Q625 44 696 44Q717 44 719 46H722V-5Q695 -11 678 -11Q552 -11 457 141Q455 145 454 146L447 134Q362 -11 235 -11Q157 -11 107 56ZM93 213Q93 143 126 87T220 31Q258 31 292 48T349 88T389 137T413 178T421 196Q421 200 396 239T362 288Q322 345 288 366T213 387Q163 387 128 337T93 213Z"></path><path stroke-width="10" id="MJMATHI-3B1" d="M34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26Z"></path><path stroke-width="10" id="MJMATHI-3B8" d="M35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132Z"></path></defs></svg>
<h1>Test Set for MathML Cloud</h1>
<p>Last updated: September 18, 2014</p>
<h2>Source: Carnegie Learning Math Series Level 2</h2>
<ol><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="13.667ex" height="3.333ex" viewBox="0 -943.6 5848.7 1402.7" role="math" aria-labelledby="MathJax-Element-1-Title MathJax-Element-1-Desc"><title id="MathJax-Element-1-Title">Equation</title><desc id="MathJax-Element-1-Desc">negative 5 and one-fifth minus 6 and two-thirds equals</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-35"></use><g transform="translate(1288,0)"><g transform="translate(286,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-35"></use></g></g><use x="2393" y="0" xlink:href="#MJMAIN-2212"></use><use x="3399" y="0" xlink:href="#MJMAIN-36"></use><g transform="translate(3904,0)"><g transform="translate(286,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="84" y="-597" xlink:href="#MJMAIN-33"></use></g></g><use x="5065" y="0" xlink:href="#MJMAIN-3D"></use></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="18.167ex" height="4.333ex" viewBox="0 -1173.4 7835.7 1846.9" role="math" aria-labelledby="MathJax-Element-2-Title MathJax-Element-2-Desc"><title id="MathJax-Element-2-Title">Equation</title><desc id="MathJax-Element-2-Desc">negative 7 and three-fourths minus left-parenthesis negative 4 and seven-eighths right-parenthesis equals</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-37"></use><g transform="translate(1288,0)"><g transform="translate(286,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="660" xlink:href="#MJMAIN-33"></use><use transform="scale(0.707)" x="84" y="-609" xlink:href="#MJMAIN-34"></use></g></g><use x="2393" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(3399,0)"><use xlink:href="#MJSZ2-28"></use><g transform="translate(602,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-34"></use><g transform="translate(1288,0)"><g transform="translate(286,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="660" xlink:href="#MJMAIN-37"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-38"></use></g></g></g><use x="2773" y="-1" xlink:href="#MJSZ2-29"></use></g><use x="7052" y="0" xlink:href="#MJMAIN-3D"></use></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="18.5ex" height="2.5ex" viewBox="0 -773.9 7960.2 1047.9" role="math" aria-labelledby="MathJax-Element-3-Title MathJax-Element-3-Desc"><title id="MathJax-Element-3-Title">Equation</title><desc id="MathJax-Element-3-Desc">negative 24.15 minus left-parenthesis 13.7 right-parenthesis equals</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><g transform="translate(783,0)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMAIN-34"></use><use x="1010" y="0" xlink:href="#MJMAIN-2E"></use><use x="1293" y="0" xlink:href="#MJMAIN-31"></use><use x="1798" y="0" xlink:href="#MJMAIN-35"></use></g><use x="3308" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(4313,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-33"></use><use x="1010" y="0" xlink:href="#MJMAIN-2E"></use><use x="1293" y="0" xlink:href="#MJMAIN-37"></use></g><use x="2192" y="0" xlink:href="#MJMAIN-29"></use></g><use x="7177" y="0" xlink:href="#MJMAIN-3D"></use></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="16.167ex" height="2.5ex" viewBox="0 -773.9 6940 1047.9" role="math" aria-labelledby="MathJax-Element-4-Title MathJax-Element-4-Desc"><title id="MathJax-Element-4-Title">Equation</title><desc id="MathJax-Element-4-Desc">left-parenthesis negative 4 right-parenthesis times 3 equals negative 12</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-34"></use></g><use x="1682" y="0" xlink:href="#MJMAIN-29"></use><use x="2298" y="0" xlink:href="#MJMAIN-D7"></use><use x="3303" y="0" xlink:href="#MJMAIN-33"></use><use x="4086" y="0" xlink:href="#MJMAIN-3D"></use><use x="5147" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(5930,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-5-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="14.333ex" height="1.833ex" viewBox="0 -700.9 6152 760.9" role="math" aria-labelledby="MathJax-Element-5-Title MathJax-Element-5-Desc"><title id="MathJax-Element-5-Title">Equation</title><desc id="MathJax-Element-5-Desc">negative 12 division-sign 3 equals negative 4</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><g transform="translate(783,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-32"></use></g><use x="2015" y="0" xlink:href="#MJMAIN-F7"></use><use x="3020" y="0" xlink:href="#MJMAIN-33"></use><use x="3803" y="0" xlink:href="#MJMAIN-3D"></use><use x="4864" y="0" xlink:href="#MJMAIN-2212"></use><use x="5647" y="0" xlink:href="#MJMAIN-34"></use></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-6-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="16.167ex" height="2.5ex" viewBox="0 -773.9 6940 1047.9" role="math" aria-labelledby="MathJax-Element-6-Title MathJax-Element-6-Desc"><title id="MathJax-Element-6-Title">Equation</title><desc id="MathJax-Element-6-Desc">negative 12 division-sign left-parenthesis negative 4 right-parenthesis equals 3</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><g transform="translate(783,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-32"></use></g><use x="2015" y="0" xlink:href="#MJMAIN-F7"></use><g transform="translate(3020,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-34"></use></g><use x="1682" y="0" xlink:href="#MJMAIN-29"></use></g><use x="5374" y="0" xlink:href="#MJMAIN-3D"></use><use x="6434" y="0" xlink:href="#MJMAIN-33"></use></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-7-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="5.167ex" height="1.667ex" viewBox="0 -689.9 2237.4 735.9" role="math" aria-labelledby="MathJax-Element-7-Title MathJax-Element-7-Desc"><title id="MathJax-Element-7-Title">Equation</title><desc id="MathJax-Element-7-Desc">6 times 5</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-36"></use><use x="727" y="0" xlink:href="#MJMAIN-D7"></use><use x="1732" y="0" xlink:href="#MJMAIN-35"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-8-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="8.833ex" height="2.5ex" viewBox="0 -773.9 3808.4 1047.9" role="math" aria-labelledby="MathJax-Element-8-Title MathJax-Element-8-Desc"><title id="MathJax-Element-8-Title">Equation</title><desc id="MathJax-Element-8-Desc">6 times left-parenthesis negative 5 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-36"></use><use x="727" y="0" xlink:href="#MJMAIN-D7"></use><g transform="translate(1732,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-35"></use></g><use x="1682" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-9-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7ex" height="1.667ex" viewBox="0 -689.9 3020.4 735.9" role="math" aria-labelledby="MathJax-Element-9-Title MathJax-Element-9-Desc"><title id="MathJax-Element-9-Title">Equation</title><desc id="MathJax-Element-9-Desc">negative 6 times 5</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-36"></use><use x="1510" y="0" xlink:href="#MJMAIN-D7"></use><use x="2515" y="0" xlink:href="#MJMAIN-35"></use></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-10-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="10.667ex" height="2.5ex" viewBox="0 -773.9 4591.4 1047.9" role="math" aria-labelledby="MathJax-Element-10-Title MathJax-Element-10-Desc"><title id="MathJax-Element-10-Title">Equation</title><desc id="MathJax-Element-10-Desc">negative 6 times left-parenthesis negative 5 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-36"></use><use x="1510" y="0" xlink:href="#MJMAIN-D7"></use><g transform="translate(2515,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-35"></use></g><use x="1682" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-11-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7ex" height="1.667ex" viewBox="0 -699.9 3020.4 745.9" role="math" aria-labelledby="MathJax-Element-11-Title MathJax-Element-11-Desc"><title id="MathJax-Element-11-Title">Equation</title><desc id="MathJax-Element-11-Desc">negative 8 times 7</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-38"></use><use x="1510" y="0" xlink:href="#MJMAIN-D7"></use><use x="2515" y="0" xlink:href="#MJMAIN-37"></use></g></svg></span>&nbsp;</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-12-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="10.667ex" height="2.5ex" viewBox="0 -773.9 4591.4 1047.9" role="math" aria-labelledby="MathJax-Element-12-Title MathJax-Element-12-Desc"><title id="MathJax-Element-12-Title">Equation</title><desc id="MathJax-Element-12-Desc">negative 8 times left-parenthesis negative 7 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-38"></use><use x="1510" y="0" xlink:href="#MJMAIN-D7"></use><g transform="translate(2515,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-37"></use></g><use x="1682" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-13-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="8.833ex" height="2.5ex" viewBox="0 -773.9 3808.4 1047.9" role="math" aria-labelledby="MathJax-Element-13-Title MathJax-Element-13-Desc"><title id="MathJax-Element-13-Title">Equation</title><desc id="MathJax-Element-13-Desc">8 times left-parenthesis negative 7 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-38"></use><use x="727" y="0" xlink:href="#MJMAIN-D7"></use><g transform="translate(1732,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-37"></use></g><use x="1682" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-14-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="5.167ex" height="1.667ex" viewBox="0 -699.9 2237.4 745.9" role="math" aria-labelledby="MathJax-Element-14-Title MathJax-Element-14-Desc"><title id="MathJax-Element-14-Title">Equation</title><desc id="MathJax-Element-14-Desc">8 times 7</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-38"></use><use x="727" y="0" xlink:href="#MJMAIN-D7"></use><use x="1732" y="0" xlink:href="#MJMAIN-37"></use></g></svg></span>
</li>
<h2>Source: Glencoe/McGraw-Hill Mathematics: Applications and Concepts Course 1</h2>
<li>
<p><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-15-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="11.5ex" height="1.833ex" viewBox="0 -738.9 4968.6 784.9" role="math" aria-labelledby="MathJax-Element-15-Title MathJax-Element-15-Desc"><title id="MathJax-Element-15-Title">Equation</title><desc id="MathJax-Element-15-Desc">m angle 1 equals 30 degree-sign</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-6D"></use><use x="883" y="0" xlink:href="#MJMAIN-2220"></use><use x="1610" y="0" xlink:href="#MJMAIN-31"></use><use x="2392" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3453,0)"><use xlink:href="#MJMAIN-33"></use><use x="505" y="0" xlink:href="#MJMAIN-30"></use><use x="1010" y="0" xlink:href="#MJMAIN-B0"></use></g></g></svg></span>&nbsp;, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-16-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="11.5ex" height="1.833ex" viewBox="0 -738.9 4968.6 784.9" role="math" aria-labelledby="MathJax-Element-16-Title MathJax-Element-16-Desc"><title id="MathJax-Element-16-Title">Equation</title><desc id="MathJax-Element-16-Desc">m angle 2 equals 60 degree-sign</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-6D"></use><use x="883" y="0" xlink:href="#MJMAIN-2220"></use><use x="1610" y="0" xlink:href="#MJMAIN-32"></use><use x="2392" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3453,0)"><use xlink:href="#MJMAIN-36"></use><use x="505" y="0" xlink:href="#MJMAIN-30"></use><use x="1010" y="0" xlink:href="#MJMAIN-B0"></use></g></g></svg></span>&nbsp;, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-17-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="19.333ex" height="2ex" viewBox="0 -738.9 8311 844.9" role="math" aria-labelledby="MathJax-Element-17-Title MathJax-Element-17-Desc"><title id="MathJax-Element-17-Title">Equation</title><desc id="MathJax-Element-17-Desc">m angle 1 plus m angle 2 equals 90 degree-sign</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-6D"></use><use x="883" y="0" xlink:href="#MJMAIN-2220"></use><use x="1610" y="0" xlink:href="#MJMAIN-31"></use><use x="2337" y="0" xlink:href="#MJMAIN-2B"></use><use x="3342" y="0" xlink:href="#MJMATHI-6D"></use><use x="4225" y="0" xlink:href="#MJMAIN-2220"></use><use x="4952" y="0" xlink:href="#MJMAIN-32"></use><use x="5735" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(6795,0)"><use xlink:href="#MJMAIN-39"></use><use x="505" y="0" xlink:href="#MJMAIN-30"></use><use x="1010" y="0" xlink:href="#MJMAIN-B0"></use></g></g></svg></span>&nbsp;</p>
</li>
<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-18-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="22.667ex" height="2ex" viewBox="0 -738.9 9755 844.9" role="math" aria-labelledby="MathJax-Element-18-Title MathJax-Element-18-Desc"><title id="MathJax-Element-18-Title">Equation</title><desc id="MathJax-Element-18-Desc">m angle upper M plus m angle upper N equals 180 degree-sign</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-6D"></use><use x="883" y="0" xlink:href="#MJMAIN-2220"></use><use x="1610" y="0" xlink:href="#MJMATHI-4D"></use><use x="2888" y="0" xlink:href="#MJMAIN-2B"></use><use x="3893" y="0" xlink:href="#MJMATHI-6D"></use><use x="4776" y="0" xlink:href="#MJMAIN-2220"></use><use x="5503" y="0" xlink:href="#MJMATHI-4E"></use><use x="6674" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(7734,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-38"></use><use x="1010" y="0" xlink:href="#MJMAIN-30"></use><use x="1515" y="0" xlink:href="#MJMAIN-B0"></use></g></g></svg></span><span style="font-size:12.0pt;
font-family:&quot;Formata-Regular&quot;,&quot;sans-serif&quot;">.</span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-19-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="9.333ex" height="3.167ex" viewBox="0 -943.6 3992.3 1387.1" role="math" aria-labelledby="MathJax-Element-19-Title MathJax-Element-19-Desc"><title id="MathJax-Element-19-Title">Equation</title><desc id="MathJax-Element-19-Desc">upper A equals one-half b h</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-41"></use><use x="1032" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1815,0)"><g transform="translate(397,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-32"></use></g></g><use x="2977" y="0" xlink:href="#MJMATHI-62"></use><use x="3411" y="0" xlink:href="#MJMATHI-68"></use></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-20-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="22ex" height="4ex" viewBox="0 -1119.9 9505.8 1747.5" role="math" aria-labelledby="MathJax-Element-20-Title MathJax-Element-20-Desc"><title id="MathJax-Element-20-Title">Equation</title><desc id="MathJax-Element-20-Desc">StartFraction area of triangle Over area of square EndFraction equals StartFraction 1 unit Superscript 2 Baseline Over 16 units Superscript 2 EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(120,0)"><rect stroke="none" width="4757" height="60" x="0" y="220"></rect><g transform="translate(60,597)"><use transform="scale(0.707)" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-72"></use><use transform="scale(0.707)" x="902" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="1351" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="1856" y="0" xlink:href="#MJMAIN-20"></use><use transform="scale(0.707)" x="2111" y="0" xlink:href="#MJMAIN-6F"></use><use transform="scale(0.707)" x="2616" y="0" xlink:href="#MJMAIN-66"></use><use transform="scale(0.707)" x="2927" y="0" xlink:href="#MJMAIN-20"></use><use transform="scale(0.707)" x="3182" y="0" xlink:href="#MJMAIN-74"></use><use transform="scale(0.707)" x="3576" y="0" xlink:href="#MJMAIN-72"></use><use transform="scale(0.707)" x="3973" y="0" xlink:href="#MJMAIN-69"></use><use transform="scale(0.707)" x="4256" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="4761" y="0" xlink:href="#MJMAIN-6E"></use><use transform="scale(0.707)" x="5322" y="0" xlink:href="#MJMAIN-67"></use><use transform="scale(0.707)" x="5827" y="0" xlink:href="#MJMAIN-6C"></use><use transform="scale(0.707)" x="6110" y="0" xlink:href="#MJMAIN-65"></use></g><g transform="translate(248,-451)"><use transform="scale(0.707)" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-72"></use><use transform="scale(0.707)" x="902" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="1351" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="1856" y="0" xlink:href="#MJMAIN-20"></use><use transform="scale(0.707)" x="2111" y="0" xlink:href="#MJMAIN-6F"></use><use transform="scale(0.707)" x="2616" y="0" xlink:href="#MJMAIN-66"></use><use transform="scale(0.707)" x="2927" y="0" xlink:href="#MJMAIN-20"></use><use transform="scale(0.707)" x="3182" y="0" xlink:href="#MJMAIN-73"></use><use transform="scale(0.707)" x="3581" y="0" xlink:href="#MJMAIN-71"></use><use transform="scale(0.707)" x="4114" y="0" xlink:href="#MJMAIN-75"></use><use transform="scale(0.707)" x="4675" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="5180" y="0" xlink:href="#MJMAIN-72"></use><use transform="scale(0.707)" x="5577" y="0" xlink:href="#MJMAIN-65"></use></g></g><use x="5275" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(6058,0)"><g transform="translate(397,0)"><rect stroke="none" width="2929" height="60" x="0" y="220"></rect><g transform="translate(379,459)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-20"></use><use transform="scale(0.707)" x="760" y="0" xlink:href="#MJMAIN-75"></use><use transform="scale(0.707)" x="1321" y="0" xlink:href="#MJMAIN-6E"></use><use transform="scale(0.707)" x="1882" y="0" xlink:href="#MJMAIN-69"></use><use transform="scale(0.707)" x="2165" y="0" xlink:href="#MJMAIN-74"></use><use transform="scale(0.574)" x="3152" y="450" xlink:href="#MJMAIN-32"></use></g><g transform="translate(60,-592)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-36"></use><use transform="scale(0.707)" x="1010" y="0" xlink:href="#MJMAIN-20"></use><use transform="scale(0.707)" x="1265" y="0" xlink:href="#MJMAIN-75"></use><use transform="scale(0.707)" x="1826" y="0" xlink:href="#MJMAIN-6E"></use><use transform="scale(0.707)" x="2387" y="0" xlink:href="#MJMAIN-69"></use><use transform="scale(0.707)" x="2670" y="0" xlink:href="#MJMAIN-74"></use><use transform="scale(0.707)" x="3064" y="0" xlink:href="#MJMAIN-73"></use><use transform="scale(0.574)" x="4265" y="450" xlink:href="#MJMAIN-32"></use></g></g></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-21-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="4ex" height="2.167ex" viewBox="0 -894.9 1750.1 940.9" role="math" aria-labelledby="MathJax-Element-21-Title MathJax-Element-21-Desc"><title id="MathJax-Element-21-Title">Equation</title><desc id="MathJax-Element-21-Desc">0.6 squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-30"></use><use x="505" y="0" xlink:href="#MJMAIN-2E"></use><use x="788" y="0" xlink:href="#MJMAIN-36"></use><use transform="scale(0.707)" x="1828" y="569" xlink:href="#MJMAIN-32"></use></g></svg></span>
</li>
<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-22-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="4ex" height="2.167ex" viewBox="0 -894.9 1750.1 940.9" role="math" aria-labelledby="MathJax-Element-22-Title MathJax-Element-22-Desc"><title id="MathJax-Element-22-Title">Equation</title><desc id="MathJax-Element-22-Desc">1.5 squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-2E"></use><use x="788" y="0" xlink:href="#MJMAIN-35"></use><use transform="scale(0.707)" x="1828" y="569" xlink:href="#MJMAIN-32"></use></g></svg></span>
</li>
<h2>Source: Teacher Created</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-23-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="11.333ex" height="2.5ex" viewBox="0 -773.9 4851.1 1047.9" role="math" aria-labelledby="MathJax-Element-23-Title MathJax-Element-23-Desc"><title id="MathJax-Element-23-Title">Equation</title><desc id="MathJax-Element-23-Desc">4 left-parenthesis 2 x plus 3 x right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-34"></use><g transform="translate(671,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMATHI-78"></use><use x="1304" y="0" xlink:href="#MJMAIN-2B"></use><use x="2309" y="0" xlink:href="#MJMAIN-33"></use><use x="2814" y="0" xlink:href="#MJMATHI-78"></use></g><use x="3785" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-24-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="24ex" height="2.5ex" viewBox="0 -854.8 10364.3 1083.8" role="math" aria-labelledby="MathJax-Element-24-Title MathJax-Element-24-Desc"><title id="MathJax-Element-24-Title">Equation</title><desc id="MathJax-Element-24-Desc">36 plus 4 y minus 1 y squared plus 5 y squared minus 2</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-33"></use><use x="505" y="0" xlink:href="#MJMAIN-36"></use><use x="1232" y="0" xlink:href="#MJMAIN-2B"></use><use x="2237" y="0" xlink:href="#MJMAIN-34"></use><use x="2742" y="0" xlink:href="#MJMATHI-79"></use><use x="3466" y="0" xlink:href="#MJMAIN-2212"></use><use x="4471" y="0" xlink:href="#MJMAIN-31"></use><g transform="translate(4976,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="712" y="513" xlink:href="#MJMAIN-32"></use></g><use x="6160" y="0" xlink:href="#MJMAIN-2B"></use><use x="7165" y="0" xlink:href="#MJMAIN-35"></use><g transform="translate(7670,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="712" y="513" xlink:href="#MJMAIN-32"></use></g><use x="8854" y="0" xlink:href="#MJMAIN-2212"></use><use x="9859" y="0" xlink:href="#MJMAIN-32"></use></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-25-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="17.5ex" height="2.5ex" viewBox="0 -773.9 7551.1 1047.9" role="math" aria-labelledby="MathJax-Element-25-Title MathJax-Element-25-Desc"><title id="MathJax-Element-25-Title">Equation</title><desc id="MathJax-Element-25-Desc">left-parenthesis 5 plus 9 right-parenthesis minus 4 plus 3 equals</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-35"></use><use x="727" y="0" xlink:href="#MJMAIN-2B"></use><use x="1732" y="0" xlink:href="#MJMAIN-39"></use></g><use x="2631" y="0" xlink:href="#MJMAIN-29"></use><use x="3247" y="0" xlink:href="#MJMAIN-2212"></use><use x="4252" y="0" xlink:href="#MJMAIN-34"></use><use x="4980" y="0" xlink:href="#MJMAIN-2B"></use><use x="5985" y="0" xlink:href="#MJMAIN-33"></use><use x="6768" y="0" xlink:href="#MJMAIN-3D"></use></g></svg></span>
</li>
<h2>Source: Holt McDougal Mathematics</h2>
<li>
<p class="MsoNormal" style="text-autospace:none"><span style="font-size:12.0pt;font-family:&quot;Helvetica&quot;,&quot;sans-serif&quot;;color:black">Line </span><i><span style="font-size:12.0pt;font-family:&quot;Helvetica-Oblique&quot;,&quot;sans-serif&quot;;
color:black">BC</span></i><span style="font-size:12.0pt;font-family:&quot;Helvetica&quot;,&quot;sans-serif&quot;;color:black">, or </span><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-26-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="3.667ex" height="3.333ex" viewBox="0 -1378.6 1614.3 1424.5" role="math" aria-labelledby="MathJax-Element-26-Title MathJax-Element-26-Desc"><title id="MathJax-Element-26-Title">Equation</title><desc id="MathJax-Element-26-Desc">times times BC left right-arrow</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(28,0)"><use xlink:href="#MJMATHI-42"></use><use x="764" y="0" xlink:href="#MJMATHI-43"></use></g><g transform="translate(29,843)"><use x="-60" y="0" xlink:href="#MJMAIN-2190"></use><use x="580" y="0" xlink:href="#MJMAIN-2192"></use></g></g></svg></span></p>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-27-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="3.667ex" height="3.667ex" viewBox="0 -1377.6 1608 1595.5" role="math" aria-labelledby="MathJax-Element-27-Title MathJax-Element-27-Desc"><title id="MathJax-Element-27-Title">Equation</title><desc id="MathJax-Element-27-Desc">times times PQ right-arrow</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(28,0)"><use xlink:href="#MJMATHI-50"></use><use x="756" y="0" xlink:href="#MJMATHI-51"></use></g><g transform="translate(0,842)"><use x="-89" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(408.35081967213114,0) scale(0.580327868852459,1)"><use xlink:href="#MJMAIN-2212"></use></g><use x="603" y="0" xlink:href="#MJMAIN-2192"></use></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-28-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="4.167ex" height="2.167ex" viewBox="0 -902.6 1791.1 948.5" role="math" aria-labelledby="MathJax-Element-28-Title MathJax-Element-28-Desc"><title id="MathJax-Element-28-Title">Equation</title><desc id="MathJax-Element-28-Desc">times times GH spacing-macron</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(35,0)"><use xlink:href="#MJMATHI-47"></use><use x="791" y="0" xlink:href="#MJMATHI-48"></use></g><g transform="translate(37,288)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(163.803324099723,0) scale(2.664819944598338,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="1249" y="0" xlink:href="#MJMAIN-AF"></use></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-29-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="11.5ex" height="2.167ex" viewBox="0 -880.6 4926.2 926.5" role="math" aria-labelledby="MathJax-Element-29-Title MathJax-Element-29-Desc"><title id="MathJax-Element-29-Title">Equation</title><desc id="MathJax-Element-29-Desc">times times WX spacing-macron approximately-equals times times YZ spacing-macron</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(35,0)"><use xlink:href="#MJMATHI-57"></use><use x="1053" y="0" xlink:href="#MJMATHI-58"></use></g><g transform="translate(15,266)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(117.47645429362879,0) scale(3.290858725761773,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="1475" y="0" xlink:href="#MJMAIN-AF"></use></g><use x="2273" y="0" xlink:href="#MJMAIN-2245"></use><g transform="translate(3334,0)"><g transform="translate(35,0)"><use xlink:href="#MJMATHI-59"></use><use x="768" y="0" xlink:href="#MJMATHI-5A"></use></g><g transform="translate(26,266)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(202.34072022160666,0) scale(2.14404432132964,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="1061" y="0" xlink:href="#MJMAIN-AF"></use></g></g></g></svg></span>
</li>
<li>
<p class="MsoNormal" style="text-autospace:none"><span style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:black">Some angles are contained
within other, larger angles. For instance, <i><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-30-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7ex" height="1.667ex" viewBox="0 -717.9 3014 741.9" role="math" aria-labelledby="MathJax-Element-30-Title MathJax-Element-30-Desc"><title id="MathJax-Element-30-Title">Equation</title><desc id="MathJax-Element-30-Desc">prefix angle upper B upper E upper F</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2220"></use><use x="727" y="0" xlink:href="#MJMATHI-42"></use><use x="1491" y="0" xlink:href="#MJMATHI-45"></use><use x="2260" y="0" xlink:href="#MJMATHI-46"></use></g></svg></span>&nbsp;</i>includes <i><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-31-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7.167ex" height="1.667ex" viewBox="0 -717.9 3093 741.9" role="math" aria-labelledby="MathJax-Element-31-Title MathJax-Element-31-Desc"><title id="MathJax-Element-31-Title">Equation</title><desc id="MathJax-Element-31-Desc">prefix angle upper B upper E upper D</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2220"></use><use x="727" y="0" xlink:href="#MJMATHI-42"></use><use x="1491" y="0" xlink:href="#MJMATHI-45"></use><use x="2260" y="0" xlink:href="#MJMATHI-44"></use></g></svg></span>&nbsp;</i>and <i><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-32-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7.167ex" height="1.667ex" viewBox="0 -717.9 3083 741.9" role="math" aria-labelledby="MathJax-Element-32-Title MathJax-Element-32-Desc"><title id="MathJax-Element-32-Title">Equation</title><desc id="MathJax-Element-32-Desc">prefix angle upper D upper E upper F</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-2220"></use><use x="727" y="0" xlink:href="#MJMATHI-44"></use><use x="1560" y="0" xlink:href="#MJMATHI-45"></use><use x="2329" y="0" xlink:href="#MJMATHI-46"></use></g></svg></span></i>.</span></p>
</li>
<h2>Source: Say It With Symbols: Making Sense of Symbols (Pearson)</h2>
<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-33-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp044-010" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="15.5ex" height="4.167ex" viewBox="0 -1363.6 6666 1814.2" role="math" aria-labelledby="MathJax-Element-33-Title MathJax-Element-33-Desc"><title id="MathJax-Element-33-Title">Equation</title><desc id="MathJax-Element-33-Desc">x equals StartFraction negative b plus-or-minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1637,0)"><g transform="translate(397,0)"><rect stroke="none" width="4510" height="60" x="0" y="220"></rect><g transform="translate(60,562)"><use transform="scale(0.707)" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="783" y="0" xlink:href="#MJMATHI-62"></use><use transform="scale(0.707)" x="1217" y="0" xlink:href="#MJMAIN-B1"></use><g transform="translate(1414,0)"><use transform="scale(0.707)" x="0" y="192" xlink:href="#MJSZ1-221A"></use><rect stroke="none" width="2265" height="42" x="710" y="701"></rect><g transform="translate(710,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-62"></use><use transform="scale(0.574)" x="534" y="481" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="943" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1726" y="0" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="2231" y="0" xlink:href="#MJMATHI-61"></use><use transform="scale(0.707)" x="2765" y="0" xlink:href="#MJMATHI-63"></use></g></g></g><g transform="translate(1887,-423)"><use transform="scale(0.707)" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMATHI-61"></use></g></g></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-34-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-006" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="17.167ex" height="2.5ex" viewBox="0 -854.8 7421.5 1083.8" role="math" aria-labelledby="MathJax-Element-34-Title MathJax-Element-34-Desc"><title id="MathJax-Element-34-Title">Equation</title><desc id="MathJax-Element-34-Desc">y equals x squared plus 8 x plus 16</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-32"></use></g><use x="3096" y="0" xlink:href="#MJMAIN-2B"></use><use x="4102" y="0" xlink:href="#MJMAIN-38"></use><use x="4607" y="0" xlink:href="#MJMATHI-78"></use><use x="5406" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(6411,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-36"></use></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-35-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-007" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="10.5ex" height="3.333ex" viewBox="0 -943.6 4525.3 1402" role="math" aria-labelledby="MathJax-Element-35-Title MathJax-Element-35-Desc"><title id="MathJax-Element-35-Title">Equation</title><desc id="MathJax-Element-35-Desc">y equals one-third left-parenthesis 3 Superscript x Baseline right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1562,0)"><g transform="translate(397,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-597" xlink:href="#MJMAIN-33"></use></g></g><g transform="translate(2724,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-33"></use><use transform="scale(0.707)" x="714" y="568" xlink:href="#MJMATHI-78"></use></g><use x="1407" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-36-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-008" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="12ex" height="2.167ex" viewBox="0 -689.9 5160 918.9" role="math" aria-labelledby="MathJax-Element-36-Title MathJax-Element-36-Desc"><title id="MathJax-Element-36-Title">Equation</title><desc id="MathJax-Element-36-Desc">y equals 10 minus 2 x</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-30"></use></g><use x="3072" y="0" xlink:href="#MJMAIN-2212"></use><use x="4078" y="0" xlink:href="#MJMAIN-32"></use><use x="4583" y="0" xlink:href="#MJMATHI-78"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-37-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-009" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="11.833ex" height="2.5ex" viewBox="0 -854.1 5112.1 1083.1" role="math" aria-labelledby="MathJax-Element-37-Title MathJax-Element-37-Desc"><title id="MathJax-Element-37-Title">Equation</title><desc id="MathJax-Element-37-Desc">y equals 2 x cubed plus 5</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMAIN-32"></use><g transform="translate(2345,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-33"></use></g><use x="3601" y="0" xlink:href="#MJMAIN-2B"></use><use x="4607" y="0" xlink:href="#MJMAIN-35"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-38-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-010" style="vertical-align: -1ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="21.5ex" height="2.833ex" viewBox="0 -873.4 9225.6 1246.9" role="math" aria-labelledby="MathJax-Element-38-Title MathJax-Element-38-Desc"><title id="MathJax-Element-38-Title">Equation</title><desc id="MathJax-Element-38-Desc">y equals left-parenthesis prefix x squared plus 1 right-parenthesis left-parenthesis x squared plus 3 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="-1" xlink:href="#MJSZ1-28"></use><g transform="translate(2303,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-32"></use></g><use x="3559" y="0" xlink:href="#MJMAIN-2B"></use><use x="4565" y="0" xlink:href="#MJMAIN-31"></use><g transform="translate(5070,0)"><use xlink:href="#MJSZ1-29"></use><use x="463" y="-1" xlink:href="#MJSZ1-28"></use><g transform="translate(926,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-32"></use></g></g><use x="7252" y="0" xlink:href="#MJMAIN-2B"></use><use x="8257" y="0" xlink:href="#MJMAIN-33"></use><use x="8762" y="-1" xlink:href="#MJSZ1-29"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-39-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-011" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="8.5ex" height="2.167ex" viewBox="0 -736.5 3641.6 965.5" role="math" aria-labelledby="MathJax-Element-39-Title MathJax-Element-39-Desc"><title id="MathJax-Element-39-Title">Equation</title><desc id="MathJax-Element-39-Desc">y equals 0.5 Superscript x</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMAIN-30"></use><use x="505" y="0" xlink:href="#MJMAIN-2E"></use><use x="788" y="0" xlink:href="#MJMAIN-35"></use><use transform="scale(0.707)" x="1828" y="569" xlink:href="#MJMATHI-78"></use></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-40-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-012" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="12ex" height="2.167ex" viewBox="0 -689.9 5160 918.9" role="math" aria-labelledby="MathJax-Element-40-Title MathJax-Element-40-Desc"><title id="MathJax-Element-40-Title">Equation</title><desc id="MathJax-Element-40-Desc">y equals 22 minus 2 x</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMAIN-32"></use></g><use x="3072" y="0" xlink:href="#MJMAIN-2212"></use><use x="4078" y="0" xlink:href="#MJMAIN-32"></use><use x="4583" y="0" xlink:href="#MJMATHI-78"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-41-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-013" style="vertical-align: -1ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="6ex" height="3.167ex" viewBox="0 -958.4 2608.6 1332" role="math" aria-labelledby="MathJax-Element-41-Title MathJax-Element-41-Desc"><title id="MathJax-Element-41-Title">Equation</title><desc id="MathJax-Element-41-Desc">y equals StartFraction 3 Over x EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1562,0)"><g transform="translate(397,0)"><rect stroke="none" width="528" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="120" y="660" xlink:href="#MJMAIN-33"></use><use transform="scale(0.707)" x="84" y="-488" xlink:href="#MJMATHI-78"></use></g></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-42-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-014" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="18.667ex" height="2.5ex" viewBox="0 -773.9 8035.4 1047.9" role="math" aria-labelledby="MathJax-Element-42-Title MathJax-Element-42-Desc"><title id="MathJax-Element-42-Title">Equation</title><desc id="MathJax-Element-42-Desc">y equals left-parenthesis x plus 4 right-parenthesis left-parenthesis x plus 4 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMAIN-28"></use><use x="2234" y="0" xlink:href="#MJMATHI-78"></use><use x="3033" y="0" xlink:href="#MJMAIN-2B"></use><use x="4039" y="0" xlink:href="#MJMAIN-34"></use><use x="4544" y="0" xlink:href="#MJMAIN-29"></use><use x="4938" y="0" xlink:href="#MJMAIN-28"></use><use x="5332" y="0" xlink:href="#MJMATHI-78"></use><use x="6131" y="0" xlink:href="#MJMAIN-2B"></use><use x="7136" y="0" xlink:href="#MJMAIN-34"></use><use x="7641" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-43-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-015" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="19.833ex" height="2.5ex" viewBox="0 -773.9 8540.4 1047.9" role="math" aria-labelledby="MathJax-Element-43-Title MathJax-Element-43-Desc"><title id="MathJax-Element-43-Title">Equation</title><desc id="MathJax-Element-43-Desc">y equals left-parenthesis 4 x minus 3 right-parenthesis left-parenthesis x plus 1 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMAIN-28"></use><use x="2234" y="0" xlink:href="#MJMAIN-34"></use><use x="2739" y="0" xlink:href="#MJMATHI-78"></use><use x="3538" y="0" xlink:href="#MJMAIN-2212"></use><use x="4544" y="0" xlink:href="#MJMAIN-33"></use><use x="5049" y="0" xlink:href="#MJMAIN-29"></use><use x="5443" y="0" xlink:href="#MJMAIN-28"></use><use x="5837" y="0" xlink:href="#MJMATHI-78"></use><use x="6636" y="0" xlink:href="#MJMAIN-2B"></use><use x="7641" y="0" xlink:href="#MJMAIN-31"></use><use x="8146" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-44-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-016" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="14.333ex" height="2.5ex" viewBox="0 -854.8 6194.1 1083.8" role="math" aria-labelledby="MathJax-Element-44-Title MathJax-Element-44-Desc"><title id="MathJax-Element-44-Title">Equation</title><desc id="MathJax-Element-44-Desc">y equals 20 x minus 4 x squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMAIN-30"></use></g><use x="2850" y="0" xlink:href="#MJMATHI-78"></use><use x="3649" y="0" xlink:href="#MJMAIN-2212"></use><use x="4655" y="0" xlink:href="#MJMAIN-34"></use><g transform="translate(5160,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-32"></use></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-45-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-017" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="6.667ex" height="2.5ex" viewBox="0 -854.8 2874.6 1083.8" role="math" aria-labelledby="MathJax-Element-45-Title MathJax-Element-45-Desc"><title id="MathJax-Element-45-Title">Equation</title><desc id="MathJax-Element-45-Desc">y equals x squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-32"></use></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-46-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-018" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="8.667ex" height="2.667ex" viewBox="0 -893.9 3764.3 1122.9" role="math" aria-labelledby="MathJax-Element-46-Title MathJax-Element-46-Desc"><title id="MathJax-Element-46-Title">Equation</title><desc id="MathJax-Element-46-Desc">y equals 3 Superscript x minus 1</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMAIN-33"></use><g transform="translate(505,401)"><use transform="scale(0.707)" xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="577" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1360" y="0" xlink:href="#MJMAIN-31"></use></g></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-47-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-019" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="17.833ex" height="2.5ex" viewBox="0 -773.9 7680.4 1047.9" role="math" aria-labelledby="MathJax-Element-47-Title MathJax-Element-47-Desc"><title id="MathJax-Element-47-Title">Equation</title><desc id="MathJax-Element-47-Desc">y equals 16 minus 2 left-parenthesis x plus 3 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1840,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-36"></use></g><use x="3072" y="0" xlink:href="#MJMAIN-2212"></use><use x="4078" y="0" xlink:href="#MJMAIN-32"></use><use x="4583" y="0" xlink:href="#MJMAIN-28"></use><use x="4977" y="0" xlink:href="#MJMATHI-78"></use><use x="5776" y="0" xlink:href="#MJMAIN-2B"></use><use x="6781" y="0" xlink:href="#MJMAIN-33"></use><use x="7286" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-48-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-020" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="16ex" height="2.5ex" viewBox="0 -854.8 6916.5 1083.8" role="math" aria-labelledby="MathJax-Element-48-Title MathJax-Element-48-Desc"><title id="MathJax-Element-48-Title">Equation</title><desc id="MathJax-Element-48-Desc">y equals 4 x squared minus x minus 3</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMAIN-34"></use><g transform="translate(2345,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="513" xlink:href="#MJMAIN-32"></use></g><use x="3601" y="0" xlink:href="#MJMAIN-2212"></use><use x="4607" y="0" xlink:href="#MJMATHI-78"></use><use x="5406" y="0" xlink:href="#MJMAIN-2212"></use><use x="6411" y="0" xlink:href="#MJMAIN-33"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-49-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp056-021" style="vertical-align: -1ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="10.167ex" height="3ex" viewBox="0 -943.6 4413 1317.2" role="math" aria-labelledby="MathJax-Element-49-Title MathJax-Element-49-Desc"><title id="MathJax-Element-49-Title">Equation</title><desc id="MathJax-Element-49-Desc">y equals x plus StartFraction 1 Over x EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMATHI-78"></use><use x="2639" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(3422,0)"><g transform="translate(342,0)"><rect stroke="none" width="528" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="120" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-488" xlink:href="#MJMATHI-78"></use></g></g></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-50-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp059-021" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="14ex" height="2.5ex" viewBox="0 -773.9 6020 1047.9" role="math" aria-labelledby="MathJax-Element-50-Title MathJax-Element-50-Desc"><title id="MathJax-Element-50-Title">Equation</title><desc id="MathJax-Element-50-Desc">y equals 4 x left-parenthesis 5 minus x right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMAIN-34"></use><use x="2345" y="0" xlink:href="#MJMATHI-78"></use><use x="2922" y="0" xlink:href="#MJMAIN-28"></use><use x="3316" y="0" xlink:href="#MJMAIN-35"></use><use x="4043" y="0" xlink:href="#MJMAIN-2212"></use><use x="5049" y="0" xlink:href="#MJMATHI-78"></use><use x="5626" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span></li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-51-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp056-023" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="23.833ex" height="2.5ex" viewBox="0 -773.9 10272.9 1047.9" role="math" aria-labelledby="MathJax-Element-51-Title MathJax-Element-51-Desc"><title id="MathJax-Element-51-Title">Equation</title><desc id="MathJax-Element-51-Desc">y equals 2 left-parenthesis x minus 3 right-parenthesis plus 6 left-parenthesis 1 minus x right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-79"></use><use x="779" y="0" xlink:href="#MJMAIN-3D"></use><use x="1840" y="0" xlink:href="#MJMAIN-32"></use><use x="2345" y="0" xlink:href="#MJMAIN-28"></use><use x="2739" y="0" xlink:href="#MJMATHI-78"></use><use x="3538" y="0" xlink:href="#MJMAIN-2212"></use><use x="4544" y="0" xlink:href="#MJMAIN-33"></use><use x="5049" y="0" xlink:href="#MJMAIN-29"></use><use x="5665" y="0" xlink:href="#MJMAIN-2B"></use><use x="6670" y="0" xlink:href="#MJMAIN-36"></use><use x="7175" y="0" xlink:href="#MJMAIN-28"></use><use x="7569" y="0" xlink:href="#MJMAIN-31"></use><use x="8296" y="0" xlink:href="#MJMAIN-2212"></use><use x="9301" y="0" xlink:href="#MJMATHI-78"></use><use x="9878" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span>
</li>
<h2>Source: Kentucky KCCT Practice Test</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-52-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="9.833ex" height="3.333ex" viewBox="0 -959.1 4210.7 1418.2" role="math" aria-labelledby="MathJax-Element-52-Title MathJax-Element-52-Desc"><title id="MathJax-Element-52-Title">Equation</title><desc id="MathJax-Element-52-Desc">0.25 greater-than five-sixteenths</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-30"></use><use x="505" y="0" xlink:href="#MJMAIN-2E"></use><use x="788" y="0" xlink:href="#MJMAIN-32"></use><use x="1293" y="0" xlink:href="#MJMAIN-35"></use><use x="2075" y="0" xlink:href="#MJMAIN-3E"></use><g transform="translate(2858,0)"><g transform="translate(397,0)"><rect stroke="none" width="834" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="337" y="660" xlink:href="#MJMAIN-35"></use><g transform="translate(60,-423)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-36"></use></g></g></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-53-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="9.833ex" height="2.5ex" viewBox="0 -773.9 4262.9 1047.9" role="math" aria-labelledby="MathJax-Element-53-Title MathJax-Element-53-Desc"><title id="MathJax-Element-53-Title">Equation</title><desc id="MathJax-Element-53-Desc">32 dot-operator left-parenthesis 5 dot-operator 7 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-33"></use><use x="505" y="0" xlink:href="#MJMAIN-32"></use><use x="1232" y="0" xlink:href="#MJMAIN-22C5"></use><g transform="translate(1737,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-35"></use><use x="727" y="0" xlink:href="#MJMAIN-22C5"></use><use x="1232" y="0" xlink:href="#MJMAIN-37"></use></g><use x="2131" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span>
</li>
<h2>Source: Pearson Filling and Wrapping Three-Dimensional Measurement</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-54-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" id="EQp039-001" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="36.667ex" height="4.333ex" viewBox="0 -1173.4 15822.4 1846.9" role="math" aria-labelledby="MathJax-Element-54-Title MathJax-Element-54-Desc"><title id="MathJax-Element-54-Title">Equation</title><desc id="MathJax-Element-54-Desc">left-parenthesis one-half times one-half times pi times 2 right-parenthesis plus left-parenthesis 2 times one-half times pi times 5 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJSZ2-28"></use><g transform="translate(602,0)"><g transform="translate(120,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-32"></use></g></g><use x="1541" y="0" xlink:href="#MJMAIN-D7"></use><g transform="translate(2324,0)"><g transform="translate(342,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-32"></use></g></g><use x="3485" y="0" xlink:href="#MJMAIN-D7"></use><use x="4491" y="0" xlink:href="#MJMATHI-3C0"></use><use x="5291" y="0" xlink:href="#MJMAIN-D7"></use><use x="6296" y="0" xlink:href="#MJMAIN-32"></use><use x="6801" y="-1" xlink:href="#MJSZ2-29"></use><use x="7625" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(8630,0)"><use xlink:href="#MJSZ2-28"></use><use x="602" y="0" xlink:href="#MJMAIN-32"></use><use x="1329" y="0" xlink:href="#MJMAIN-D7"></use><g transform="translate(2112,0)"><g transform="translate(342,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-32"></use></g></g><use x="3273" y="0" xlink:href="#MJMAIN-D7"></use><use x="4278" y="0" xlink:href="#MJMATHI-3C0"></use><use x="5079" y="0" xlink:href="#MJMAIN-D7"></use><use x="6084" y="0" xlink:href="#MJMAIN-35"></use><use x="6589" y="-1" xlink:href="#MJSZ2-29"></use></g></g></svg></span>
</li>
<h2>Source: Examples and Problems in Mathematical Statistics (Wiley)</h2>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-55-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -3.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="46.667ex" height="5.333ex" viewBox="0 -973.9 20115.8 2317" role="math" aria-labelledby="MathJax-Element-55-Title MathJax-Element-55-Desc"><title id="MathJax-Element-55-Title">Equation</title><desc id="MathJax-Element-55-Desc">liminf right-arrow right-arrow n infinity ⁡ upper E Subscript n Baseline equals n-ary-union over n greater-than-or-equals 1 n-ary-intersection over k greater-than-or-equals n upper E Subscript k Baseline comma limsup right-arrow right-arrow n infinity ⁡ upper E Subscript n Baseline equals n-ary-intersection over n greater-than-or-equals 1 n-ary-union over k greater-than-or-equals n upper E Subscript k Baseline period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-6C"></use><use x="283" y="0" xlink:href="#MJMAIN-69"></use><use x="566" y="0" xlink:href="#MJMAIN-6D"></use><use x="1404" y="0" xlink:href="#MJMAIN-69"></use><use x="1687" y="0" xlink:href="#MJMAIN-6E"></use><use x="2248" y="0" xlink:href="#MJMAIN-66"></use><g transform="translate(354,-610)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2192"></use><use transform="scale(0.707)" x="1610" y="0" xlink:href="#MJMAIN-221E"></use></g><g transform="translate(2559,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="4107" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(5168,0)"><use x="111" y="-1" xlink:href="#MJSZ2-22C3"></use><g transform="translate(0,-1105)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2265"></use><use transform="scale(0.707)" x="1388" y="0" xlink:href="#MJMAIN-31"></use></g></g><g transform="translate(6673,0)"><use x="118" y="1" xlink:href="#MJSZ2-22C2"></use><g transform="translate(0,-1125)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="526" y="0" xlink:href="#MJMAIN-2265"></use><use transform="scale(0.707)" x="1309" y="0" xlink:href="#MJMATHI-6E"></use></g></g><g transform="translate(8193,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-217" xlink:href="#MJMATHI-6B"></use></g><use x="9408" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(10058,0)"><use xlink:href="#MJMAIN-6C"></use><use x="283" y="0" xlink:href="#MJMAIN-69"></use><use x="566" y="0" xlink:href="#MJMAIN-6D"></use><use x="1404" y="0" xlink:href="#MJMAIN-73"></use><use x="1803" y="0" xlink:href="#MJMAIN-75"></use><use x="2364" y="0" xlink:href="#MJMAIN-70"></use><g transform="translate(537,-804)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2192"></use><use transform="scale(0.707)" x="1610" y="0" xlink:href="#MJMAIN-221E"></use></g></g><g transform="translate(12983,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="14531" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(15592,0)"><use x="111" y="1" xlink:href="#MJSZ2-22C2"></use><g transform="translate(0,-1105)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2265"></use><use transform="scale(0.707)" x="1388" y="0" xlink:href="#MJMAIN-31"></use></g></g><g transform="translate(17097,0)"><use x="118" y="-1" xlink:href="#MJSZ2-22C3"></use><g transform="translate(0,-1124)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="526" y="0" xlink:href="#MJMAIN-2265"></use><use transform="scale(0.707)" x="1309" y="0" xlink:href="#MJMATHI-6E"></use></g></g><g transform="translate(18617,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-217" xlink:href="#MJMATHI-6B"></use></g><use x="19832" y="0" xlink:href="#MJMAIN-2E"></use></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-56-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -4.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="38.667ex" height="9.667ex" viewBox="0 -2316.3 16640.1 4132.6" role="math" aria-labelledby="MathJax-Element-56-Title MathJax-Element-56-Desc"><title id="MathJax-Element-56-Title">Equation</title><desc id="MathJax-Element-56-Desc">multiline equation row 1 left-parenthesis i right-parenthesis script s element-of script a semicolon row 2 left-parenthesis ii right-parenthesis if upper E element-of script a then upper E spacing-overscore element-of script a semicolon row 3 left-parenthesis iii right-parenthesis if upper E 1 comma upper E 2 element-of script a then upper E 1 union upper E 2 element-of script a period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(167,0)"><g transform="translate(-11,0)"><g transform="translate(0,1502)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-69"></use><use x="677" y="0" xlink:href="#MJMAIN-29"></use></g><g transform="translate(283,-52)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-69"></use><use x="677" y="0" xlink:href="#MJMAIN-69"></use><use x="960" y="0" xlink:href="#MJMAIN-29"></use></g><g transform="translate(0,-1543)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-69"></use><use x="677" y="0" xlink:href="#MJMAIN-69"></use><use x="960" y="0" xlink:href="#MJMAIN-69"></use><use x="1243" y="0" xlink:href="#MJMAIN-29"></use></g></g><g transform="translate(2426,0)"><g transform="translate(0,1502)"><use x="200" y="0" xlink:href="#MJSCR-53"></use><use x="1350" y="0" xlink:href="#MJMAIN-2208"></use><use x="2300" y="0" xlink:href="#MJSCR-41"></use><use x="3108" y="0" xlink:href="#MJMAIN-3B"></use></g><g transform="translate(0,-52)"><g transform="translate(200,0)"><use xlink:href="#MJMAIN-69"></use><use x="283" y="0" xlink:href="#MJMAIN-66"></use></g><use x="794" y="0" xlink:href="#MJMATHI-45"></use><use x="1840" y="0" xlink:href="#MJMAIN-2208"></use><use x="2790" y="0" xlink:href="#MJSCR-41"></use><g transform="translate(3798,0)"><use xlink:href="#MJMAIN-74"></use><use x="394" y="0" xlink:href="#MJMAIN-68"></use><use x="955" y="0" xlink:href="#MJMAIN-65"></use><use x="1404" y="0" xlink:href="#MJMAIN-6E"></use></g><g transform="translate(5963,0)"><use x="35" y="0" xlink:href="#MJMATHI-45"></use><g transform="translate(100,263)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(351.3656509695291,0) scale(0.13019390581717452,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="334" y="0" xlink:href="#MJMAIN-AF"></use></g></g><use x="7180" y="0" xlink:href="#MJMAIN-2208"></use><use x="8130" y="0" xlink:href="#MJSCR-41"></use><use x="8938" y="0" xlink:href="#MJMAIN-3B"></use></g><g transform="translate(0,-1543)"><g transform="translate(200,0)"><use xlink:href="#MJMAIN-69"></use><use x="283" y="0" xlink:href="#MJMAIN-66"></use></g><g transform="translate(794,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="1994" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(2443,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="3921" y="0" xlink:href="#MJMAIN-2208"></use><use x="4871" y="0" xlink:href="#MJSCR-41"></use><g transform="translate(5879,0)"><use xlink:href="#MJMAIN-74"></use><use x="394" y="0" xlink:href="#MJMAIN-68"></use><use x="955" y="0" xlink:href="#MJMAIN-65"></use><use x="1404" y="0" xlink:href="#MJMAIN-6E"></use></g><g transform="translate(8044,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="9466" y="0" xlink:href="#MJMAIN-222A"></use><g transform="translate(10360,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="11838" y="0" xlink:href="#MJMAIN-2208"></use><use x="12788" y="0" xlink:href="#MJSCR-41"></use><use x="13596" y="0" xlink:href="#MJMAIN-2E"></use></g></g></g></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-57-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -4.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="59.167ex" height="9.5ex" viewBox="0 -2284.5 25474.5 4069" role="math" aria-labelledby="MathJax-Element-57-Title MathJax-Element-57-Desc"><title id="MathJax-Element-57-Title">Equation</title><desc id="MathJax-Element-57-Desc">multiline equation row 1 left-parenthesis upper A period 1 right-parenthesis If upper A element-of script upper F then Baseline 0 less-than-or-equals upper P ⁡ StartSet upper A EndSet less-than-or-equals 1 period left-parenthesis 1 right-parenthesis row 2 left-parenthesis upper A period 2 right-parenthesis upper P ⁡ StartSet script s EndSet equals 1 period left-parenthesis 2 right-parenthesis row 3 left-parenthesis upper A period 3 right-parenthesis If StartSet upper E Subscript n Baseline comma n greater-than-or-equals 1 EndSet element-of script upper F is a sequence of disjoint left-parenthesis 3 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(167,0)"><g transform="translate(1589,0)"><g transform="translate(0,1470)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-41"></use><use x="1149" y="0" xlink:href="#MJMAIN-2E"></use><use x="1598" y="0" xlink:href="#MJMAIN-31"></use><use x="2103" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(2864,0)"><use xlink:href="#MJMAIN-49"></use><use x="366" y="0" xlink:href="#MJMAIN-66"></use></g><use x="3908" y="0" xlink:href="#MJMATHI-41"></use><use x="4940" y="0" xlink:href="#MJMAIN-2208"></use><use x="5890" y="0" xlink:href="#MJSCR-46"></use><g transform="translate(7252,0)"><use xlink:href="#MJMAIN-74"></use><use x="394" y="0" xlink:href="#MJMAIN-68"></use><use x="955" y="0" xlink:href="#MJMAIN-65"></use><use x="1404" y="0" xlink:href="#MJMAIN-6E"></use></g><use x="9583" y="0" xlink:href="#MJMAIN-30"></use><use x="10366" y="0" xlink:href="#MJMAIN-2264"></use><use x="11427" y="0" xlink:href="#MJMATHI-50"></use><use x="12183" y="0" xlink:href="#MJMAIN-7B"></use><use x="12688" y="0" xlink:href="#MJMATHI-41"></use><use x="13443" y="0" xlink:href="#MJMAIN-7D"></use><use x="14226" y="0" xlink:href="#MJMAIN-2264"></use><use x="15286" y="0" xlink:href="#MJMAIN-31"></use><use x="15791" y="0" xlink:href="#MJMAIN-2E"></use></g><g transform="translate(0,-20)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-41"></use><use x="1149" y="0" xlink:href="#MJMAIN-2E"></use><use x="1598" y="0" xlink:href="#MJMAIN-32"></use><use x="2103" y="0" xlink:href="#MJMAIN-29"></use><use x="2697" y="0" xlink:href="#MJMATHI-50"></use><use x="3453" y="0" xlink:href="#MJMAIN-7B"></use><use x="3958" y="0" xlink:href="#MJSCR-53"></use><use x="4831" y="0" xlink:href="#MJMAIN-7D"></use><use x="5614" y="0" xlink:href="#MJMAIN-3D"></use><use x="6675" y="0" xlink:href="#MJMAIN-31"></use><use x="7180" y="0" xlink:href="#MJMAIN-2E"></use></g><g transform="translate(0,-1511)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-41"></use><use x="1149" y="0" xlink:href="#MJMAIN-2E"></use><use x="1598" y="0" xlink:href="#MJMAIN-33"></use><use x="2103" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(2864,0)"><use xlink:href="#MJMAIN-49"></use><use x="366" y="0" xlink:href="#MJMAIN-66"></use></g><use x="3741" y="0" xlink:href="#MJMAIN-7B"></use><g transform="translate(4246,0)"><use xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="1050" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="5517" y="0" xlink:href="#MJMAIN-2C"></use><use x="5966" y="0" xlink:href="#MJMATHI-6E"></use><use x="6849" y="0" xlink:href="#MJMAIN-2265"></use><use x="7910" y="0" xlink:href="#MJMAIN-31"></use><use x="8415" y="0" xlink:href="#MJMAIN-7D"></use><use x="9198" y="0" xlink:href="#MJMAIN-2208"></use><use x="10147" y="0" xlink:href="#MJSCR-46"></use><g transform="translate(11342,0)"><use xlink:href="#MJMAIN-69"></use><use x="283" y="0" xlink:href="#MJMAIN-73"></use><use x="682" y="0" xlink:href="#MJMAIN-20"></use><use x="937" y="0" xlink:href="#MJMAIN-61"></use><use x="1442" y="0" xlink:href="#MJMAIN-20"></use><use x="1697" y="0" xlink:href="#MJMAIN-73"></use><use x="2096" y="0" xlink:href="#MJMAIN-65"></use><use x="2545" y="0" xlink:href="#MJMAIN-71"></use><use x="3078" y="0" xlink:href="#MJMAIN-75"></use><use x="3639" y="0" xlink:href="#MJMAIN-65"></use><use x="4088" y="0" xlink:href="#MJMAIN-6E"></use><use x="4649" y="0" xlink:href="#MJMAIN-63"></use><use x="5098" y="0" xlink:href="#MJMAIN-65"></use><use x="5547" y="0" xlink:href="#MJMAIN-20"></use><use x="5802" y="0" xlink:href="#MJMAIN-6F"></use><use x="6307" y="0" xlink:href="#MJMAIN-66"></use></g><g transform="translate(18160,0)"><use xlink:href="#MJMAIN-64"></use><use x="561" y="0" xlink:href="#MJMAIN-69"></use><use x="844" y="0" xlink:href="#MJMAIN-73"></use><use x="1243" y="0" xlink:href="#MJMAIN-6A"></use><use x="1554" y="0" xlink:href="#MJMAIN-6F"></use><use x="2059" y="0" xlink:href="#MJMAIN-69"></use><use x="2342" y="0" xlink:href="#MJMAIN-6E"></use><use x="2903" y="0" xlink:href="#MJMAIN-74"></use></g></g></g><g transform="translate(23847,0)"><g transform="translate(0,1470)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-31"></use><use x="899" y="0" xlink:href="#MJMAIN-29"></use></g><g transform="translate(0,-20)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-32"></use><use x="899" y="0" xlink:href="#MJMAIN-29"></use></g><g transform="translate(0,-1511)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-33"></use><use x="899" y="0" xlink:href="#MJMAIN-29"></use></g></g></g></g></svg></span></div>
</li>
<li>
<mathstatement xml:id="c01-mthst-0010">
<title type="mathStatementName">Theorem</title>
<p><b>(Bayes)</b>
<displayeditem xml:id="c01-disp-0015" type="mathematics">
</displayeditem></p><div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-58-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -3ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="37.5ex" height="6.667ex" viewBox="0 -1594.7 16148 2834.7" role="math" aria-labelledby="MathJax-Element-58-Title MathJax-Element-58-Desc"><title id="MathJax-Element-58-Title">Equation</title><desc id="MathJax-Element-58-Desc">upper P ⁡ StartSet upper B Subscript j Baseline vertical-bar upper A EndSet equals StartFraction upper P ⁡ StartSet upper B Subscript j Baseline EndSet upper P ⁡ StartSet upper A vertical-bar upper B Subscript j Baseline EndSet Over sigma-summation over j prime prefix element-of upper J upper P ⁡ StartSet upper B Subscript j prime Baseline EndSet upper P ⁡ StartSet upper A vertical-bar upper B Subscript j prime Baseline EndSet EndFraction period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-50"></use><use x="756" y="0" xlink:href="#MJMAIN-7B"></use><g transform="translate(1261,0)"><use xlink:href="#MJMATHI-42"></use><use transform="scale(0.707)" x="1080" y="-213" xlink:href="#MJMATHI-6A"></use></g><use x="2419" y="0" xlink:href="#MJMAIN-7C"></use><use x="2702" y="0" xlink:href="#MJMATHI-41"></use><use x="3457" y="0" xlink:href="#MJMAIN-7D"></use><use x="4240" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(5023,0)"><g transform="translate(397,0)"><rect stroke="none" width="10156" height="60" x="0" y="220"></rect><g transform="translate(1634,820)"><use xlink:href="#MJMATHI-50"></use><use x="756" y="0" xlink:href="#MJMAIN-7B"></use><g transform="translate(1261,0)"><use xlink:href="#MJMATHI-42"></use><use transform="scale(0.707)" x="1080" y="-213" xlink:href="#MJMATHI-6A"></use></g><use x="2419" y="0" xlink:href="#MJMAIN-7D"></use><use x="2924" y="0" xlink:href="#MJMATHI-50"></use><use x="3680" y="0" xlink:href="#MJMAIN-7B"></use><use x="4185" y="0" xlink:href="#MJMATHI-41"></use><use x="4940" y="0" xlink:href="#MJMAIN-7C"></use><g transform="translate(5223,0)"><use xlink:href="#MJMATHI-42"></use><use transform="scale(0.707)" x="1080" y="-213" xlink:href="#MJMATHI-6A"></use></g><use x="6382" y="0" xlink:href="#MJMAIN-7D"></use></g><g transform="translate(60,-780)"><use xlink:href="#MJSZ1-2211"></use><g transform="translate(1061,-296)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6A"></use><use transform="scale(0.707)" x="416" y="0" xlink:href="#MJSSI-27"></use><use transform="scale(0.707)" x="700" y="0" xlink:href="#MJMAIN-2208"></use><use transform="scale(0.707)" x="1372" y="0" xlink:href="#MJMATHI-4A"></use></g><use x="2748" y="0" xlink:href="#MJMATHI-50"></use><use x="3504" y="0" xlink:href="#MJMAIN-7B"></use><g transform="translate(4009,0)"><use xlink:href="#MJMATHI-42"></use><g transform="translate(764,-154)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6A"></use><use transform="scale(0.707)" x="416" y="0" xlink:href="#MJSSI-27"></use></g></g><use x="5368" y="0" xlink:href="#MJMAIN-7D"></use><use x="5873" y="0" xlink:href="#MJMATHI-50"></use><use x="6629" y="0" xlink:href="#MJMAIN-7B"></use><use x="7134" y="0" xlink:href="#MJMATHI-41"></use><use x="7889" y="0" xlink:href="#MJMAIN-7C"></use><g transform="translate(8172,0)"><use xlink:href="#MJMATHI-42"></use><g transform="translate(764,-154)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6A"></use><use transform="scale(0.707)" x="416" y="0" xlink:href="#MJSSI-27"></use></g></g><use x="9531" y="0" xlink:href="#MJMAIN-7D"></use></g></g></g><use x="15864" y="0" xlink:href="#MJMAIN-2E"></use></g></svg></span></div><p></p>
</mathstatement>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-59-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="23.667ex" height="5.333ex" viewBox="0 -1385.4 10201.6 2313.3" role="math" aria-labelledby="MathJax-Element-59-Title MathJax-Element-59-Desc"><title id="MathJax-Element-59-Title">Equation</title><desc id="MathJax-Element-59-Desc">mu 1 left-parenthesis upper B right-parenthesis equals integral over upper B f ⁡ left-parenthesis x right-parenthesis d mu 2 left-parenthesis x right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-3BC"></use><use transform="scale(0.707)" x="859" y="-213" xlink:href="#MJMAIN-31"></use><use x="1065" y="0" xlink:href="#MJMAIN-28"></use><use x="1459" y="0" xlink:href="#MJMATHI-42"></use><use x="2223" y="0" xlink:href="#MJMAIN-29"></use><use x="2894" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3955,0)"><use xlink:href="#MJSZ2-222B"></use><use transform="scale(0.707)" x="793" y="-1283" xlink:href="#MJMATHI-42"></use></g><use x="5323" y="0" xlink:href="#MJMATHI-66"></use><use x="5878" y="0" xlink:href="#MJMAIN-28"></use><use x="6272" y="0" xlink:href="#MJMATHI-78"></use><use x="6849" y="0" xlink:href="#MJMAIN-29"></use><use x="7243" y="0" xlink:href="#MJMATHI-64"></use><g transform="translate(7771,0)"><use xlink:href="#MJMATHI-3BC"></use><use transform="scale(0.707)" x="859" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="8836" y="0" xlink:href="#MJMAIN-28"></use><use x="9230" y="0" xlink:href="#MJMATHI-78"></use><use x="9807" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-60-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="45ex" height="5.667ex" viewBox="0 -1473.4 19410.4 2446.9" role="math" aria-labelledby="MathJax-Element-60-Title MathJax-Element-60-Desc"><title id="MathJax-Element-60-Title">Equation</title><desc id="MathJax-Element-60-Desc">lim right-arrow right-arrow n infinity ⁡ upper E ⁡ StartSet StartAbsoluteValue upper X Subscript n Baseline minus upper X EndAbsoluteValue EndSet equals upper E ⁡ StartSet lim right-arrow right-arrow n infinity ⁡ StartAbsoluteValue upper X Subscript n Baseline minus upper X EndAbsoluteValue EndSet equals 0 period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(222,0)"><use xlink:href="#MJMAIN-6C"></use><use x="283" y="0" xlink:href="#MJMAIN-69"></use><use x="566" y="0" xlink:href="#MJMAIN-6D"></use></g><g transform="translate(0,-610)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2192"></use><use transform="scale(0.707)" x="1610" y="0" xlink:href="#MJMAIN-221E"></use></g><use x="1849" y="0" xlink:href="#MJMATHI-45"></use><use x="2618" y="0" xlink:href="#MJMAIN-7B"></use><g transform="translate(3123,1459)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-1327.7438665358195) scale(1,0.47203140333660454)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-2160" xlink:href="#MJMAIN-2223"></use></g><g transform="translate(3406,0)"><use xlink:href="#MJMATHI-58"></use><use transform="scale(0.707)" x="1178" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="4989" y="0" xlink:href="#MJMAIN-2212"></use><use x="5994" y="0" xlink:href="#MJMATHI-58"></use><g transform="translate(6851,1459)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-1327.7438665358195) scale(1,0.47203140333660454)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-2160" xlink:href="#MJMAIN-2223"></use></g><use x="7134" y="0" xlink:href="#MJMAIN-7D"></use><use x="7917" y="0" xlink:href="#MJMAIN-3D"></use><use x="8977" y="0" xlink:href="#MJMATHI-45"></use><g transform="translate(9913,0)"><use xlink:href="#MJSZ3-7B"></use><g transform="translate(755,0)"><g transform="translate(222,0)"><use xlink:href="#MJMAIN-6C"></use><use x="283" y="0" xlink:href="#MJMAIN-69"></use><use x="566" y="0" xlink:href="#MJMAIN-6D"></use></g><g transform="translate(0,-610)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2192"></use><use transform="scale(0.707)" x="1610" y="0" xlink:href="#MJMAIN-221E"></use></g></g><g transform="translate(2604,1224)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><use x="0" y="-1691" xlink:href="#MJMAIN-2223"></use></g><g transform="translate(2887,0)"><use xlink:href="#MJMATHI-58"></use><use transform="scale(0.707)" x="1178" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="4470" y="0" xlink:href="#MJMAIN-2212"></use><use x="5475" y="0" xlink:href="#MJMATHI-58"></use><g transform="translate(6332,1224)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><use x="0" y="-1691" xlink:href="#MJMAIN-2223"></use></g><use x="6615" y="-1" xlink:href="#MJSZ3-7D"></use></g><use x="17561" y="0" xlink:href="#MJMAIN-3D"></use><use x="18622" y="0" xlink:href="#MJMAIN-30"></use><use x="19127" y="0" xlink:href="#MJMAIN-2E"></use></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-61-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -4.833ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="87ex" height="10.5ex" viewBox="0 -2519.2 37491.7 4538.4" role="math" aria-labelledby="MathJax-Element-61-Title MathJax-Element-61-Desc"><title id="MathJax-Element-61-Title">Equation</title><desc id="MathJax-Element-61-Desc">multiline equation row 1 upper P Subscript mu comma sigma Baseline StartSet upper Y greater-than-or-equals l Subscript beta Baseline left-parenthesis upper Y spacing-overscore Subscript n Baseline comma upper S Subscript n Baseline right-parenthesis EndSet equals upper P Subscript mu comma sigma Baseline StartSet left-parenthesis upper Y minus upper Y spacing-overscore Subscript n Baseline right-parenthesis full-stop left-parenthesis upper S dot left-parenthesis 1 plus StartFraction 1 Over n EndFraction right-parenthesis Superscript 1 full-stop 2 Baseline right-parenthesis greater-than-or-equals minus t Subscript beta Baseline left-bracket n minus 1 right-bracket EndSet equals beta comma row 2 left-parenthesis 1 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(167,0)"><g transform="translate(-11,0)"><g transform="translate(0,745)"><use xlink:href="#MJMATHI-50"></use><g transform="translate(647,-150)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3BC"></use><use transform="scale(0.707)" x="608" y="0" xlink:href="#MJMAIN-2C"></use><use transform="scale(0.707)" x="890" y="0" xlink:href="#MJMATHI-3C3"></use></g><use x="1785" y="0" xlink:href="#MJMAIN-7B"></use><use x="2290" y="0" xlink:href="#MJMATHI-59"></use><use x="3335" y="0" xlink:href="#MJMAIN-2265"></use><g transform="translate(4396,0)"><use xlink:href="#MJMATHI-6C"></use><use transform="scale(0.707)" x="428" y="-228" xlink:href="#MJMATHI-3B2"></use></g><use x="5208" y="0" xlink:href="#MJMAIN-28"></use><g transform="translate(5602,0)"><use x="35" y="0" xlink:href="#MJMATHI-59"></use><g transform="translate(118,266)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(351.5706371191136,0) scale(0.12742382271468145,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="333" y="0" xlink:href="#MJMAIN-AF"></use></g><use transform="scale(0.707)" x="1352" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="7086" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(7536,0)"><use xlink:href="#MJMATHI-53"></use><use transform="scale(0.707)" x="873" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="8681" y="0" xlink:href="#MJMAIN-29"></use><use x="9075" y="0" xlink:href="#MJMAIN-7D"></use><use x="9858" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(10919,0)"><use xlink:href="#MJMATHI-50"></use><g transform="translate(647,-150)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3BC"></use><use transform="scale(0.707)" x="608" y="0" xlink:href="#MJMAIN-2C"></use><use transform="scale(0.707)" x="890" y="0" xlink:href="#MJMATHI-3C3"></use></g></g><use x="12704" y="0" xlink:href="#MJMAIN-7B"></use><use x="13209" y="0" xlink:href="#MJMAIN-28"></use><use x="13603" y="0" xlink:href="#MJMATHI-59"></use><use x="14593" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(15598,0)"><use x="35" y="0" xlink:href="#MJMATHI-59"></use><g transform="translate(118,266)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(351.5706371191136,0) scale(0.12742382271468145,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="333" y="0" xlink:href="#MJMAIN-AF"></use></g><use transform="scale(0.707)" x="1352" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="17083" y="0" xlink:href="#MJMAIN-29"></use><use x="17477" y="0" xlink:href="#MJMAIN-2F"></use><g transform="translate(18148,0)"><use xlink:href="#MJSZ4-28"></use><use x="797" y="0" xlink:href="#MJMATHI-53"></use><use x="1669" y="0" xlink:href="#MJMAIN-22C5"></use><g transform="translate(2174,0)"><use xlink:href="#MJSZ3-28"></use><use x="741" y="0" xlink:href="#MJMAIN-31"></use><use x="1468" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(2251,0)"><g transform="translate(342,0)"><rect stroke="none" width="725" height="60" x="0" y="220"></rect><use x="110" y="676" xlink:href="#MJMAIN-31"></use><use x="60" y="-686" xlink:href="#MJMATHI-6E"></use></g></g><use x="3438" y="-1" xlink:href="#MJSZ3-29"></use><g transform="translate(4179,1186)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2F"></use><use transform="scale(0.707)" x="1010" y="0" xlink:href="#MJMAIN-32"></use></g></g><use x="7525" y="0" xlink:href="#MJSZ4-29"></use></g><use x="26748" y="0" xlink:href="#MJMAIN-2265"></use><use x="27809" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(28592,0)"><use xlink:href="#MJMATHI-74"></use><use transform="scale(0.707)" x="517" y="-228" xlink:href="#MJMATHI-3B2"></use></g><use x="29467" y="0" xlink:href="#MJMAIN-5B"></use><use x="29750" y="0" xlink:href="#MJMATHI-6E"></use><use x="30577" y="0" xlink:href="#MJMAIN-2212"></use><use x="31582" y="0" xlink:href="#MJMAIN-31"></use><use x="32087" y="0" xlink:href="#MJMAIN-5D"></use><use x="32370" y="0" xlink:href="#MJMAIN-7D"></use><use x="33153" y="0" xlink:href="#MJMAIN-3D"></use><use x="34214" y="0" xlink:href="#MJMATHI-3B2"></use><use x="34792" y="0" xlink:href="#MJMAIN-2C"></use></g></g><g transform="translate(35864,0)"><g transform="translate(0,-1746)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-31"></use><use x="899" y="0" xlink:href="#MJMAIN-29"></use></g></g></g></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-62-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -7.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="33.5ex" height="15.667ex" viewBox="0 -3625 14431.8 6750.1" role="math" aria-labelledby="MathJax-Element-62-Title MathJax-Element-62-Desc"><title id="MathJax-Element-62-Title">Equation</title><desc id="MathJax-Element-62-Desc">upper L equals matrix row 1column 1 1 minus minus 1 row 2column 1 1 minus minus 10 row 3column 1 0 row 4column 1 1 minus minus 1 period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-4C"></use><use x="963" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2024,0)"><g transform="translate(0,3611)"><use x="0" y="-1165" xlink:href="#MJSZ4-239B"></use><g transform="translate(0,-4839.584898595944) scale(1,4.9348143525741035)"><use xlink:href="#MJSZ4-239C"></use></g><use x="0" y="-6069" xlink:href="#MJSZ4-239D"></use></g><g transform="translate(1047,0)"><g transform="translate(-11,0)"><use x="0" y="2811" xlink:href="#MJMAIN-31"></use></g><g transform="translate(1294,0)"><g transform="translate(0,2811)"><use x="200" y="0" xlink:href="#MJMAIN-2212"></use><use x="983" y="0" xlink:href="#MJMAIN-31"></use></g><g transform="translate(391,1380)"><use x="200" y="0" xlink:href="#MJMAIN-31"></use></g><g transform="translate(391,-1481)"><use x="200" y="0" xlink:href="#MJMAIN-30"></use></g></g><g transform="translate(3582,0)"><g transform="translate(0,1380)"><use x="200" y="0" xlink:href="#MJMAIN-2212"></use><use x="983" y="0" xlink:href="#MJMAIN-31"></use></g></g><g transform="translate(6870,0)"><g transform="translate(0,1380)"><use x="200" y="0" xlink:href="#MJMAIN-30"></use></g><g transform="translate(0,-2912)"><use x="200" y="0" xlink:href="#MJMAIN-31"></use></g></g><g transform="translate(8375,0)"><g transform="translate(0,-2912)"><use x="200" y="0" xlink:href="#MJMAIN-2212"></use><use x="983" y="0" xlink:href="#MJMAIN-31"></use></g></g></g><g transform="translate(11077,3611)"><use x="0" y="-1164" xlink:href="#MJSZ4-239E"></use><g transform="translate(0,-4839.552137285492) scale(1,4.9363744149766)"><use xlink:href="#MJSZ4-239F"></use></g><use x="0" y="-6069" xlink:href="#MJSZ4-23A0"></use></g></g><use x="14148" y="0" xlink:href="#MJMAIN-2E"></use></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-63-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="68.167ex" height="6.333ex" viewBox="0 -1630.9 29369.7 2753.1" role="math" aria-labelledby="MathJax-Element-63-Title MathJax-Element-63-Desc"><title id="MathJax-Element-63-Title">Equation</title><desc id="MathJax-Element-63-Desc">StartRoot n EndRoot left-bracket upper Y spacing-overscore Subscript n Baseline minus left-parenthesis mu plus z Subscript beta Baseline sigma right-parenthesis right-bracket full-stop upper S Subscript n Baseline tilde StartFraction upper U plus StartRoot n EndRoot z Subscript 1 minus beta Baseline Over left-parenthesis chi squared left-bracket n minus 1 right-bracket full-stop left-parenthesis n minus 1 right-parenthesis right-parenthesis Superscript 1 full-stop 2 Baseline EndFraction tilde t ⁡ left-bracket n minus 1 semicolon StartRoot n EndRoot z Subscript 1 minus beta Baseline right-bracket comma</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use x="0" y="-108" xlink:href="#MJMAIN-221A"></use><rect stroke="none" width="605" height="60" x="838" y="642"></rect><use x="838" y="0" xlink:href="#MJMATHI-6E"></use><use x="1443" y="0" xlink:href="#MJMAIN-5B"></use><g transform="translate(1726,0)"><use x="35" y="0" xlink:href="#MJMATHI-59"></use><g transform="translate(118,266)"><use x="-74" y="0" xlink:href="#MJMAIN-AF"></use><g transform="translate(351.5706371191136,0) scale(0.12742382271468145,1)"><use xlink:href="#MJMAIN-AF"></use></g><use x="333" y="0" xlink:href="#MJMAIN-AF"></use></g><use transform="scale(0.707)" x="1352" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="3432" y="0" xlink:href="#MJMAIN-2212"></use><use x="4437" y="0" xlink:href="#MJMAIN-28"></use><use x="4831" y="0" xlink:href="#MJMATHI-3BC"></use><use x="5661" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(6667,0)"><use xlink:href="#MJMATHI-7A"></use><use transform="scale(0.707)" x="664" y="-228" xlink:href="#MJMATHI-3B2"></use></g><use x="7645" y="0" xlink:href="#MJMATHI-3C3"></use><use x="8222" y="0" xlink:href="#MJMAIN-29"></use><use x="8616" y="0" xlink:href="#MJMAIN-5D"></use><use x="8899" y="0" xlink:href="#MJMAIN-2F"></use><g transform="translate(9404,0)"><use xlink:href="#MJMATHI-53"></use><use transform="scale(0.707)" x="873" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="10550" y="0" xlink:href="#MJMAIN-7E"></use><g transform="translate(11055,0)"><g transform="translate(286,0)"><rect stroke="none" width="9701" height="60" x="0" y="220"></rect><g transform="translate(2084,824)"><use xlink:href="#MJMATHI-55"></use><use x="994" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(1999,0)"><use x="0" y="-78" xlink:href="#MJMAIN-221A"></use><rect stroke="none" width="605" height="60" x="838" y="672"></rect><use x="838" y="0" xlink:href="#MJMATHI-6E"></use></g><g transform="translate(3642,0)"><use xlink:href="#MJMATHI-7A"></use><g transform="translate(470,-162)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMATHI-3B2"></use></g></g></g><g transform="translate(60,-849)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-3C7"></use><use transform="scale(0.707)" x="892" y="408" xlink:href="#MJMAIN-32"></use></g><use x="1482" y="0" xlink:href="#MJMAIN-5B"></use><use x="1765" y="0" xlink:href="#MJMATHI-6E"></use><use x="2592" y="0" xlink:href="#MJMAIN-2212"></use><use x="3597" y="0" xlink:href="#MJMAIN-31"></use><use x="4102" y="0" xlink:href="#MJMAIN-5D"></use><use x="4385" y="0" xlink:href="#MJMAIN-2F"></use><use x="4890" y="0" xlink:href="#MJMAIN-28"></use><use x="5284" y="0" xlink:href="#MJMATHI-6E"></use><use x="6111" y="0" xlink:href="#MJMAIN-2212"></use><use x="7116" y="0" xlink:href="#MJMAIN-31"></use><use x="7621" y="0" xlink:href="#MJMAIN-29"></use><use x="8015" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(8409,0)"><g transform="translate(0,291)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2F"></use><use transform="scale(0.707)" x="1010" y="0" xlink:href="#MJMAIN-32"></use></g></g></g></g></g><use x="21330" y="0" xlink:href="#MJMAIN-7E"></use><use x="21835" y="0" xlink:href="#MJMATHI-74"></use><use x="22201" y="0" xlink:href="#MJMAIN-5B"></use><use x="22484" y="0" xlink:href="#MJMATHI-6E"></use><use x="23311" y="0" xlink:href="#MJMAIN-2212"></use><use x="24316" y="0" xlink:href="#MJMAIN-31"></use><use x="24821" y="0" xlink:href="#MJMAIN-3B"></use><g transform="translate(25271,0)"><use x="0" y="-108" xlink:href="#MJMAIN-221A"></use><rect stroke="none" width="605" height="60" x="838" y="642"></rect><use x="838" y="0" xlink:href="#MJMATHI-6E"></use></g><g transform="translate(26914,0)"><use xlink:href="#MJMATHI-7A"></use><g transform="translate(470,-162)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMATHI-3B2"></use></g></g><use x="28803" y="0" xlink:href="#MJMAIN-5D"></use><use x="29086" y="0" xlink:href="#MJMAIN-2C"></use></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-64-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="66.5ex" height="11ex" viewBox="0 -2614.6 28654.6 4729.2" role="math" aria-labelledby="MathJax-Element-64-Title MathJax-Element-64-Desc"><title id="MathJax-Element-64-Title">Equation</title><desc id="MathJax-Element-64-Desc">multiline equation row 1 gamma equals upper P left-brace upper E Subscript p comma q Baseline subset-of left-parenthesis upper X Subscript left-parenthesis r right-parenthesis Baseline comma upper X Subscript left-parenthesis s right-parenthesis Baseline right-brace row 2 equals StartFraction n exclamation-mark Over left-parenthesis r minus 1 right-parenthesis exclamation-mark EndFraction sigma-summation Underscript j equals 0 Overscript s minus r minus 1 Endscripts left-parenthesis negative 1 right-parenthesis Superscript j Baseline StartFraction p Superscript r plus j Baseline Over left-parenthesis n minus r minus j right-parenthesis exclamation-mark j exclamation-mark EndFraction upper I Subscript 1 minus q Baseline left-parenthesis n minus s plus 1 comma s minus r minus j right-parenthesis period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(167,0)"><g transform="translate(-11,0)"><use x="0" y="1800" xlink:href="#MJMATHI-3B3"></use></g><g transform="translate(1337,0)"><g transform="translate(0,1800)"><use xlink:href="#MJMAIN-3D"></use><use x="1060" y="0" xlink:href="#MJMATHI-50"></use><use x="1816" y="0" xlink:href="#MJMAIN-7B"></use><g transform="translate(2321,0)"><use xlink:href="#MJMATHI-45"></use><g transform="translate(743,-150)"><use transform="scale(0.707)" xlink:href="#MJMATHI-70"></use><use transform="scale(0.707)" x="507" y="0" xlink:href="#MJMAIN-2C"></use><use transform="scale(0.707)" x="791" y="0" xlink:href="#MJMATHI-71"></use></g></g><use x="4330" y="0" xlink:href="#MJMAIN-2282"></use><use x="5391" y="0" xlink:href="#MJMAIN-28"></use><g transform="translate(5785,0)"><use xlink:href="#MJMATHI-58"></use><g transform="translate(833,-193)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><use transform="scale(0.707)" x="394" y="0" xlink:href="#MJMATHI-72"></use><use transform="scale(0.707)" x="850" y="0" xlink:href="#MJMAIN-29"></use></g></g><use x="7598" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(8047,0)"><use xlink:href="#MJMATHI-58"></use><g transform="translate(833,-193)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><use transform="scale(0.707)" x="394" y="0" xlink:href="#MJMATHI-73"></use><use transform="scale(0.707)" x="868" y="0" xlink:href="#MJMAIN-29"></use></g></g><use x="9873" y="0" xlink:href="#MJMAIN-7D"></use></g><g transform="translate(0,-745)"><use xlink:href="#MJMAIN-3D"></use><g transform="translate(783,0)"><g transform="translate(397,0)"><rect stroke="none" width="3379" height="60" x="0" y="220"></rect><g transform="translate(1245,676)"><use xlink:href="#MJMATHI-6E"></use><use x="605" y="0" xlink:href="#MJMAIN-21"></use></g><g transform="translate(60,-780)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-72"></use><use x="1072" y="0" xlink:href="#MJMAIN-2212"></use><use x="2077" y="0" xlink:href="#MJMAIN-31"></use><use x="2582" y="0" xlink:href="#MJMAIN-29"></use><use x="2976" y="0" xlink:href="#MJMAIN-21"></use></g></g></g><g transform="translate(4846,0)"><use x="336" y="0" xlink:href="#MJSZ2-2211"></use><g transform="translate(458,-1105)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6A"></use><use transform="scale(0.707)" x="416" y="0" xlink:href="#MJMAIN-3D"></use><use transform="scale(0.707)" x="1200" y="0" xlink:href="#MJMAIN-30"></use></g><g transform="translate(0,1160)"><use transform="scale(0.707)" xlink:href="#MJMATHI-73"></use><use transform="scale(0.707)" x="474" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1257" y="0" xlink:href="#MJMATHI-72"></use><use transform="scale(0.707)" x="1713" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="2496" y="0" xlink:href="#MJMAIN-31"></use></g></g><use x="6968" y="0" xlink:href="#MJMAIN-28"></use><use x="7362" y="0" xlink:href="#MJMAIN-2212"></use><use x="8145" y="0" xlink:href="#MJMAIN-31"></use><use x="8650" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(9044,0)"><use transform="scale(0.707)" x="0" y="583" xlink:href="#MJMATHI-6A"></use></g><g transform="translate(9439,0)"><g transform="translate(286,0)"><rect stroke="none" width="5823" height="60" x="0" y="220"></rect><g transform="translate(2022,723)"><use xlink:href="#MJMATHI-70"></use><g transform="translate(508,362)"><use transform="scale(0.707)" xlink:href="#MJMATHI-72"></use><use transform="scale(0.707)" x="456" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.707)" x="1239" y="0" xlink:href="#MJMATHI-6A"></use></g></g><g transform="translate(60,-780)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-6E"></use><use x="1221" y="0" xlink:href="#MJMAIN-2212"></use><use x="2226" y="0" xlink:href="#MJMATHI-72"></use><use x="2904" y="0" xlink:href="#MJMAIN-2212"></use><use x="3909" y="0" xlink:href="#MJMATHI-6A"></use><use x="4326" y="0" xlink:href="#MJMAIN-29"></use><use x="4720" y="0" xlink:href="#MJMAIN-21"></use><use x="5003" y="0" xlink:href="#MJMATHI-6A"></use><use x="5420" y="0" xlink:href="#MJMAIN-21"></use></g></g></g><g transform="translate(15837,0)"><use xlink:href="#MJMATHI-49"></use><g transform="translate(445,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMATHI-71"></use></g></g><use x="17621" y="0" xlink:href="#MJMAIN-28"></use><use x="18015" y="0" xlink:href="#MJMATHI-6E"></use><use x="18842" y="0" xlink:href="#MJMAIN-2212"></use><use x="19848" y="0" xlink:href="#MJMATHI-73"></use><use x="20544" y="0" xlink:href="#MJMAIN-2B"></use><use x="21549" y="0" xlink:href="#MJMAIN-31"></use><use x="22054" y="0" xlink:href="#MJMAIN-2C"></use><use x="22504" y="0" xlink:href="#MJMATHI-73"></use><use x="23200" y="0" xlink:href="#MJMAIN-2212"></use><use x="24205" y="0" xlink:href="#MJMATHI-72"></use><use x="24883" y="0" xlink:href="#MJMAIN-2212"></use><use x="25889" y="0" xlink:href="#MJMATHI-6A"></use><use x="26306" y="0" xlink:href="#MJMAIN-29"></use><use x="26700" y="0" xlink:href="#MJMAIN-2E"></use></g></g></g></g></svg></span></div>
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<h2>Source: Fractal Geometry</h2>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-65-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -3ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="44.333ex" height="7ex" viewBox="0 -1773.4 19054.9 3046.9" role="math" aria-labelledby="MathJax-Element-65-Title MathJax-Element-65-Desc"><title id="MathJax-Element-65-Title">Equation</title><desc id="MathJax-Element-65-Desc">upper S Subscript i Baseline vector element 1 t element 2 x equals matrix row 1column 1 full-stop full-stop 1 m 0 row 2column 1 airi vector element 1 t element 2 x plus vector element 1 left-parenthesis i minus 1 right-parenthesis full-stop m element 2 b Subscript i Baseline comma</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-53"></use><use transform="scale(0.707)" x="873" y="-213" xlink:href="#MJMATHI-69"></use><g transform="translate(1132,0)"><use xlink:href="#MJSZ4-5B"></use><g transform="translate(588,0)"><g transform="translate(167,0)"><g transform="translate(-11,0)"><use x="105" y="665" xlink:href="#MJMATHI-74"></use><use x="0" y="-766" xlink:href="#MJMATHI-78"></use></g></g></g><use x="1488" y="-1" xlink:href="#MJSZ4-5D"></use></g><use x="3486" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(4547,0)"><use xlink:href="#MJSZ4-5B"></use><g transform="translate(588,0)"><g transform="translate(167,0)"><g transform="translate(-11,0)"><g transform="translate(0,695)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-2F"></use><use x="1010" y="0" xlink:href="#MJMATHI-6D"></use></g><g transform="translate(505,-796)"><use xlink:href="#MJMATHI-61"></use><use transform="scale(0.707)" x="755" y="-213" xlink:href="#MJMATHI-69"></use></g></g><g transform="translate(2682,0)"><use x="149" y="695" xlink:href="#MJMAIN-30"></use><g transform="translate(0,-796)"><use xlink:href="#MJMATHI-72"></use><use transform="scale(0.707)" x="644" y="-213" xlink:href="#MJMATHI-69"></use></g></g></g></g><use x="4408" y="-1" xlink:href="#MJSZ4-5D"></use></g><g transform="translate(9709,0)"><use xlink:href="#MJSZ4-5B"></use><g transform="translate(588,0)"><g transform="translate(167,0)"><g transform="translate(-11,0)"><use x="105" y="665" xlink:href="#MJMATHI-74"></use><use x="0" y="-766" xlink:href="#MJMATHI-78"></use></g></g></g><use x="1488" y="-1" xlink:href="#MJSZ4-5D"></use></g><use x="12008" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(13013,0)"><use xlink:href="#MJSZ4-5B"></use><g transform="translate(588,0)"><g transform="translate(167,0)"><g transform="translate(-11,0)"><g transform="translate(0,695)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-69"></use><use x="966" y="0" xlink:href="#MJMAIN-2212"></use><use x="1971" y="0" xlink:href="#MJMAIN-31"></use><use x="2476" y="0" xlink:href="#MJMAIN-29"></use><use x="2870" y="0" xlink:href="#MJMAIN-2F"></use><use x="3375" y="0" xlink:href="#MJMATHI-6D"></use></g><g transform="translate(1738,-796)"><use xlink:href="#MJMATHI-62"></use><use transform="scale(0.707)" x="613" y="-213" xlink:href="#MJMATHI-69"></use></g></g></g></g><use x="5169" y="-1" xlink:href="#MJSZ4-5D"></use></g><use x="18771" y="0" xlink:href="#MJMAIN-2C"></use></g></svg></span></div>
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<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-66-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="49.5ex" height="5.833ex" viewBox="0 -1598.2 21284.6 2526.1" role="math" aria-labelledby="MathJax-Element-66-Title MathJax-Element-66-Desc"><title id="MathJax-Element-66-Title">Equation</title><desc id="MathJax-Element-66-Desc">c 1 h Superscript 4 minus 2 s less-than-or-equals StartFraction 1 Over 2 upper T EndFraction integral Subscript negative upper T Superscript upper T Baseline left-parenthesis f left-parenthesis t plus h right-parenthesis minus f ⁡ left-parenthesis t right-parenthesis right-parenthesis squared d t less-than-or-equals c 2 h Superscript 4 minus 2 s</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-63"></use><use transform="scale(0.707)" x="619" y="-213" xlink:href="#MJMAIN-31"></use><g transform="translate(895,0)"><use xlink:href="#MJMATHI-68"></use><g transform="translate(581,430)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="1793" y="0" xlink:href="#MJMATHI-73"></use></g></g><use x="3456" y="0" xlink:href="#MJMAIN-2264"></use><g transform="translate(4239,0)"><g transform="translate(397,0)"><rect stroke="none" width="1334" height="60" x="0" y="220"></rect><use x="414" y="676" xlink:href="#MJMAIN-31"></use><g transform="translate(60,-707)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMATHI-54"></use></g></g></g><g transform="translate(6258,0)"><use xlink:href="#MJSZ2-222B"></use><use transform="scale(0.707)" x="1506" y="1553" xlink:href="#MJMATHI-54"></use><g transform="translate(561,-907)"><use transform="scale(0.707)" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="783" y="0" xlink:href="#MJMATHI-54"></use></g></g><g transform="translate(8140,0)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-66"></use><use x="949" y="0" xlink:href="#MJMAIN-28"></use><use x="1343" y="0" xlink:href="#MJMATHI-74"></use><use x="1931" y="0" xlink:href="#MJMAIN-2B"></use><use x="2936" y="0" xlink:href="#MJMATHI-68"></use><use x="3517" y="0" xlink:href="#MJMAIN-29"></use><use x="4133" y="0" xlink:href="#MJMAIN-2212"></use><use x="5138" y="0" xlink:href="#MJMATHI-66"></use><use x="5693" y="0" xlink:href="#MJMAIN-28"></use><use x="6087" y="0" xlink:href="#MJMATHI-74"></use><use x="6453" y="0" xlink:href="#MJMAIN-29"></use><use x="6847" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="10241" y="688" xlink:href="#MJMAIN-32"></use></g><use x="15839" y="0" xlink:href="#MJMAIN-64"></use><use x="16400" y="0" xlink:href="#MJMATHI-74"></use><use x="17044" y="0" xlink:href="#MJMAIN-2264"></use><g transform="translate(18105,0)"><use xlink:href="#MJMATHI-63"></use><use transform="scale(0.707)" x="619" y="-213" xlink:href="#MJMAIN-32"></use></g><g transform="translate(19000,0)"><use xlink:href="#MJMATHI-68"></use><g transform="translate(581,430)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="1793" y="0" xlink:href="#MJMATHI-73"></use></g></g></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-67-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="22ex" height="2.833ex" viewBox="0 -930.7 9480 1204.6" role="math" aria-labelledby="MathJax-Element-67-Title MathJax-Element-67-Desc"><title id="MathJax-Element-67-Title">Equation</title><desc id="MathJax-Element-67-Desc">upper C ⁡ left-parenthesis 0 right-parenthesis minus upper C ⁡ left-parenthesis h right-parenthesis asymptotically-equals c h Superscript 4 minus 2 s</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-43"></use><use x="765" y="0" xlink:href="#MJMAIN-28"></use><use x="1159" y="0" xlink:href="#MJMAIN-30"></use><use x="1664" y="0" xlink:href="#MJMAIN-29"></use><use x="2280" y="0" xlink:href="#MJMAIN-2212"></use><use x="3285" y="0" xlink:href="#MJMATHI-43"></use><use x="4050" y="0" xlink:href="#MJMAIN-28"></use><use x="4444" y="0" xlink:href="#MJMATHI-68"></use><use x="5025" y="0" xlink:href="#MJMAIN-29"></use><use x="5697" y="0" xlink:href="#MJMAIN-2243"></use><use x="6757" y="0" xlink:href="#MJMATHI-63"></use><g transform="translate(7195,0)"><use xlink:href="#MJMATHI-68"></use><g transform="translate(581,430)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="1793" y="0" xlink:href="#MJMATHI-73"></use></g></g></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-68-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="41.167ex" height="6.667ex" viewBox="0 -1803.2 17704.6 2901.4" role="math" aria-labelledby="MathJax-Element-68-Title MathJax-Element-68-Desc"><title id="MathJax-Element-68-Title">Equation</title><desc id="MathJax-Element-68-Desc">upper S ⁡ left-parenthesis omega right-parenthesis equals lim over upper T right-arrow infinity ⁡ StartFraction 1 Over 2 upper T EndFraction StartAbsoluteValue integral Subscript negative upper T Superscript upper T Baseline comma f comma left-parenthesis comma t comma right-parenthesis comma e Super Superscript italic it omega Superscript comma d comma t EndAbsoluteValue squared period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-53"></use><use x="650" y="0" xlink:href="#MJMAIN-28"></use><use x="1044" y="0" xlink:href="#MJMATHI-3C9"></use><use x="1671" y="0" xlink:href="#MJMAIN-29"></use><use x="2342" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3403,0)"><g transform="translate(259,0)"><use xlink:href="#MJMAIN-6C"></use><use x="283" y="0" xlink:href="#MJMAIN-69"></use><use x="566" y="0" xlink:href="#MJMAIN-6D"></use></g><g transform="translate(0,-663)"><use transform="scale(0.707)" xlink:href="#MJMATHI-54"></use><use transform="scale(0.707)" x="709" y="0" xlink:href="#MJMAIN-2192"></use><use transform="scale(0.707)" x="1714" y="0" xlink:href="#MJMAIN-221E"></use></g></g><g transform="translate(5326,0)"><g transform="translate(286,0)"><rect stroke="none" width="1334" height="60" x="0" y="220"></rect><use x="414" y="676" xlink:href="#MJMAIN-31"></use><g transform="translate(60,-707)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMATHI-54"></use></g></g></g><g transform="translate(7233,0)"><g transform="translate(0,1584)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-1513.8473168589494) scale(1,0.7169043642880913)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-2410" xlink:href="#MJMAIN-2223"></use></g><g transform="translate(283,0)"><use xlink:href="#MJSZ2-222B"></use><use transform="scale(0.707)" x="1506" y="1553" xlink:href="#MJMATHI-54"></use><g transform="translate(561,-907)"><use transform="scale(0.707)" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="783" y="0" xlink:href="#MJMATHI-54"></use></g></g><use x="1999" y="0" xlink:href="#MJMAIN-2C"></use><use x="2448" y="0" xlink:href="#MJMATHI-66"></use><use x="3003" y="0" xlink:href="#MJMAIN-2C"></use><use x="3453" y="0" xlink:href="#MJMAIN-28"></use><use x="3847" y="0" xlink:href="#MJMAIN-2C"></use><use x="4297" y="0" xlink:href="#MJMATHI-74"></use><use x="4663" y="0" xlink:href="#MJMAIN-2C"></use><use x="5112" y="0" xlink:href="#MJMAIN-29"></use><use x="5506" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(5956,0)"><use xlink:href="#MJMAIN-65"></use><g transform="translate(449,412)"><use transform="scale(0.707)" xlink:href="#MJMATHI-69"></use><use transform="scale(0.707)" x="350" y="0" xlink:href="#MJMATHI-74"></use><use transform="scale(0.707)" x="951" y="0" xlink:href="#MJMATHI-3C9"></use></g></g><use x="7621" y="0" xlink:href="#MJMAIN-2C"></use><use x="8071" y="0" xlink:href="#MJMAIN-64"></use><use x="8632" y="0" xlink:href="#MJMAIN-2C"></use><use x="9081" y="0" xlink:href="#MJMATHI-74"></use><g transform="translate(9447,1584)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-1513.8473168589494) scale(1,0.7169043642880913)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-2410" xlink:href="#MJMAIN-2223"></use></g><use transform="scale(0.707)" x="13761" y="1854" xlink:href="#MJMAIN-32"></use></g><use x="17421" y="0" xlink:href="#MJMAIN-2E"></use></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-69-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="46.833ex" height="5.833ex" viewBox="0 -1590.4 20156.5 2533.8" role="math" aria-labelledby="MathJax-Element-69-Title MathJax-Element-69-Desc"><title id="MathJax-Element-69-Title">Equation</title><desc id="MathJax-Element-69-Desc">integral Subscript 0 Superscript 1 Baseline integral Subscript 0 Superscript 1 Baseline left-bracket StartAbsoluteValue f ⁡ left-parenthesis t right-parenthesis minus f ⁡ left-parenthesis u right-parenthesis vertical-bar squared postfix plus EndAbsoluteValue t minus u vertical-bar squared right-bracket Superscript negative s full-stop 2 Baseline d t d u less-than infinity</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJSZ2-222B"></use><use transform="scale(0.707)" x="1506" y="1553" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="793" y="-1283" xlink:href="#MJMAIN-30"></use><g transform="translate(1489,0)"><use xlink:href="#MJSZ2-222B"></use><use transform="scale(0.707)" x="1506" y="1553" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="793" y="-1283" xlink:href="#MJMAIN-30"></use></g><g transform="translate(3178,0)"><use xlink:href="#MJMAIN-5B"></use><g transform="translate(283,0)"><g transform="translate(0,964)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><use x="0" y="-1171" xlink:href="#MJMAIN-2223"></use></g><use x="283" y="0" xlink:href="#MJMATHI-66"></use><use x="838" y="0" xlink:href="#MJMAIN-28"></use><use x="1232" y="0" xlink:href="#MJMATHI-74"></use><use x="1598" y="0" xlink:href="#MJMAIN-29"></use><use x="2214" y="0" xlink:href="#MJMAIN-2212"></use><use x="3219" y="0" xlink:href="#MJMATHI-66"></use><use x="3774" y="0" xlink:href="#MJMAIN-28"></use><use x="4168" y="0" xlink:href="#MJMATHI-75"></use><use x="4745" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(5139,0)"><g transform="translate(0,964)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><use x="0" y="-1171" xlink:href="#MJMAIN-2223"></use></g><use transform="scale(0.707)" x="400" y="978" xlink:href="#MJMAIN-32"></use></g><use x="6101" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(7106,964)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><use x="0" y="-1171" xlink:href="#MJMAIN-2223"></use></g><use x="7389" y="0" xlink:href="#MJMATHI-74"></use><use x="7978" y="0" xlink:href="#MJMAIN-2212"></use><use x="8983" y="0" xlink:href="#MJMATHI-75"></use><g transform="translate(9560,0)"><g transform="translate(0,964)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><use x="0" y="-1171" xlink:href="#MJMAIN-2223"></use></g><use transform="scale(0.707)" x="400" y="978" xlink:href="#MJMAIN-32"></use></g></g><use x="10583" y="0" xlink:href="#MJMAIN-5D"></use><g transform="translate(10866,896)"><use transform="scale(0.707)" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="783" y="0" xlink:href="#MJMATHI-73"></use><use transform="scale(0.707)" x="1257" y="0" xlink:href="#MJMAIN-2F"></use><use transform="scale(0.707)" x="1762" y="0" xlink:href="#MJMAIN-32"></use></g></g><use x="15747" y="0" xlink:href="#MJMAIN-64"></use><use x="16308" y="0" xlink:href="#MJMATHI-74"></use><use x="16674" y="0" xlink:href="#MJMAIN-64"></use><use x="17235" y="0" xlink:href="#MJMATHI-75"></use><use x="18090" y="0" xlink:href="#MJMAIN-3C"></use><use x="19151" y="0" xlink:href="#MJMAIN-221E"></use></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-70-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -3.5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="44.833ex" height="8.167ex" viewBox="0 -1991.3 19297.9 3482.7" role="math" aria-labelledby="MathJax-Element-70-Title MathJax-Element-70-Desc"><title id="MathJax-Element-70-Title">Equation</title><desc id="MathJax-Element-70-Desc">sans-serif upper E ⁡ left-parenthesis sigma-summation over upper I element-of upper E Subscript k plus 1 Baseline vertical-bar upper I vertical-bar Superscript s Baseline right-parenthesis equals sans-serif upper E ⁡ left-parenthesis sigma-summation over upper I element-of upper E Subscript k Baseline vertical-bar upper I vertical-bar Superscript s Baseline right-parenthesis sans-serif upper E left-parenthesis upper R 1 Superscript s Baseline plus upper R 2 Superscript s Baseline right-parenthesis period</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJSS-45"></use><g transform="translate(768,0)"><g transform="translate(0,1977)"><use x="0" y="-1165" xlink:href="#MJSZ4-239B"></use><use x="0" y="-2801" xlink:href="#MJSZ4-239D"></use></g><g transform="translate(880,0)"><use x="511" y="0" xlink:href="#MJSZ2-2211"></use><g transform="translate(0,-1117)"><use transform="scale(0.707)" xlink:href="#MJMATHI-49"></use><use transform="scale(0.707)" x="509" y="0" xlink:href="#MJMAIN-2208"></use><g transform="translate(835,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-45"></use><g transform="translate(525,-161)"><use transform="scale(0.574)" xlink:href="#MJMATHI-6B"></use><use transform="scale(0.574)" x="526" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.574)" x="1309" y="0" xlink:href="#MJMAIN-31"></use></g></g></g><g transform="translate(2639,1930)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-2029.7096831611366) scale(1,1.3956706357383375)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-3102" xlink:href="#MJMAIN-2223"></use></g><use x="2922" y="0" xlink:href="#MJMATHI-49"></use><g transform="translate(3431,0)"><g transform="translate(0,1930)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-2029.7096831611366) scale(1,1.3956706357383375)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-3102" xlink:href="#MJMAIN-2223"></use></g><use transform="scale(0.707)" x="400" y="2343" xlink:href="#MJMATHI-73"></use></g></g><g transform="translate(5029,1977)"><use x="0" y="-1164" xlink:href="#MJSZ4-239E"></use><use x="0" y="-2801" xlink:href="#MJSZ4-23A0"></use></g></g><use x="6955" y="0" xlink:href="#MJMAIN-3D"></use><use x="8016" y="0" xlink:href="#MJSS-45"></use><g transform="translate(8785,0)"><g transform="translate(0,1936)"><use x="0" y="-1165" xlink:href="#MJSZ4-239B"></use><use x="0" y="-2720" xlink:href="#MJSZ4-239D"></use></g><g transform="translate(880,0)"><use x="142" y="0" xlink:href="#MJSZ2-2211"></use><g transform="translate(0,-1117)"><use transform="scale(0.707)" xlink:href="#MJMATHI-49"></use><use transform="scale(0.707)" x="509" y="0" xlink:href="#MJMAIN-2208"></use><g transform="translate(835,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-45"></use><use transform="scale(0.574)" x="915" y="-280" xlink:href="#MJMATHI-6B"></use></g></g><g transform="translate(1899,1889)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-1968.9110077538744) scale(1,1.3156723786235192)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-3020" xlink:href="#MJMAIN-2223"></use></g><use x="2182" y="0" xlink:href="#MJMATHI-49"></use><g transform="translate(2691,0)"><g transform="translate(0,1889)"><use x="0" y="-760" xlink:href="#MJMAIN-2223"></use><g transform="translate(0,-1968.9110077538744) scale(1,1.3156723786235192)"><use xlink:href="#MJMAIN-2223"></use></g><use x="0" y="-3020" xlink:href="#MJMAIN-2223"></use></g><use transform="scale(0.707)" x="400" y="2285" xlink:href="#MJMATHI-73"></use></g></g><g transform="translate(4289,1936)"><use x="0" y="-1164" xlink:href="#MJSZ4-239E"></use><use x="0" y="-2720" xlink:href="#MJSZ4-23A0"></use></g></g><use x="13955" y="0" xlink:href="#MJSS-45"></use><use x="14557" y="0" xlink:href="#MJMAIN-28"></use><g transform="translate(14951,0)"><use xlink:href="#MJMATHI-52"></use><use transform="scale(0.707)" x="1080" y="593" xlink:href="#MJMATHI-73"></use><use transform="scale(0.707)" x="1080" y="-357" xlink:href="#MJMAIN-31"></use></g><use x="16394" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(17399,0)"><use xlink:href="#MJMATHI-52"></use><use transform="scale(0.707)" x="1080" y="593" xlink:href="#MJMATHI-73"></use><use transform="scale(0.707)" x="1080" y="-357" xlink:href="#MJMAIN-32"></use></g><use x="18620" y="0" xlink:href="#MJMAIN-29"></use><use x="19014" y="0" xlink:href="#MJMAIN-2E"></use></g></svg></span></div>
</li>
<h2>Source: Miscellaneous Demostration Examples</h2>
<li>
<p class="MsoNormal">The Distance Formula: The distance between points <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-71-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7.5ex" height="2.5ex" viewBox="0 -773.9 3223.8 1047.9" role="math" aria-labelledby="MathJax-Element-71-Title MathJax-Element-71-Desc"><title id="MathJax-Element-71-Title">Equation</title><desc id="MathJax-Element-71-Desc">left-parenthesis x 1 comma y 1 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="1428" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(1877,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="700" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="2829" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span>&nbsp;and <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-72-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7.5ex" height="2.5ex" viewBox="0 -773.9 3223.8 1047.9" role="math" aria-labelledby="MathJax-Element-72-Title MathJax-Element-72-Desc"><title id="MathJax-Element-72-Title">Equation</title><desc id="MathJax-Element-72-Desc">left-parenthesis x 2 comma y 2 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="1428" y="0" xlink:href="#MJMAIN-2C"></use><g transform="translate(1877,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="700" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="2829" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span>&nbsp;is
given by the formula: </p>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-73-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="30.167ex" height="4.5ex" viewBox="0 -1342.6 13016.4 1907.9" role="math" aria-labelledby="MathJax-Element-73-Title MathJax-Element-73-Desc"><title id="MathJax-Element-73-Title">Equation</title><desc id="MathJax-Element-73-Desc">d equals StartRoot left-parenthesis x 2 minus x 1 right-parenthesis squared plus left-parenthesis y 2 minus y 1 right-parenthesis squared EndRoot</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-64"></use><use x="805" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1866,0)"><use x="0" y="108" xlink:href="#MJSZ2-221A"></use><rect stroke="none" width="10144" height="60" x="1005" y="1208"></rect><g transform="translate(1005,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="1650" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(2655,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="3689" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="5775" y="688" xlink:href="#MJMAIN-32"></use><use x="4762" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(5768,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="700" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="1568" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(2573,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="700" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="3525" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="5543" y="688" xlink:href="#MJMAIN-32"></use></g></g></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span lang="EN">&nbsp;</span><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-74-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="1.667ex" height="1.667ex" viewBox="0 -706.9 727 731.9" role="math" aria-labelledby="MathJax-Element-74-Title MathJax-Element-74-Desc"><title id="MathJax-Element-74-Title">Equation</title><desc id="MathJax-Element-74-Desc">double-struck upper R</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJAMS-52"></use></g></svg></span>&nbsp;is the
set of all real numbers: <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-75-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="14.167ex" height="2.5ex" viewBox="0 -773.9 6096.2 1047.9" role="math" aria-labelledby="MathJax-Element-75-Title MathJax-Element-75-Desc"><title id="MathJax-Element-75-Title">Equation</title><desc id="MathJax-Element-75-Desc">double-struck upper R equals left-parenthesis negative infinity comma infinity right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJAMS-52"></use><use x="1004" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2065,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-2212"></use><use x="783" y="0" xlink:href="#MJMAIN-221E"></use><use x="1788" y="0" xlink:href="#MJMAIN-2C"></use><use x="2237" y="0" xlink:href="#MJMAIN-221E"></use></g><use x="3636" y="0" xlink:href="#MJMAIN-29"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal">If <i>S</i> is the set <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-76-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="8ex" height="2.5ex" viewBox="0 -773.9 3424.3 1047.9" role="math" aria-labelledby="MathJax-Element-76-Title MathJax-Element-76-Desc"><title id="MathJax-Element-76-Title">Equation</title><desc id="MathJax-Element-76-Desc">StartSet 1 comma 2 comma 3 EndSet</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-7B"></use><g transform="translate(505,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-2C"></use><use x="954" y="0" xlink:href="#MJMAIN-32"></use><use x="1459" y="0" xlink:href="#MJMAIN-2C"></use><use x="1909" y="0" xlink:href="#MJMAIN-33"></use></g><use x="2919" y="0" xlink:href="#MJMAIN-7D"></use></g></svg></span>&nbsp;then
all of the following statements are true: <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-77-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="5.5ex" height="1.833ex" viewBox="0 -728.9 2382.6 793.9" role="math" aria-labelledby="MathJax-Element-77-Title MathJax-Element-77-Desc"><title id="MathJax-Element-77-Title">Equation</title><desc id="MathJax-Element-77-Desc">1 element-of upper S</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-31"></use><use x="782" y="0" xlink:href="#MJMAIN-2208"></use><use x="1732" y="0" xlink:href="#MJMATHI-53"></use></g></svg></span>, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-78-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="5.5ex" height="1.833ex" viewBox="0 -728.9 2382.6 793.9" role="math" aria-labelledby="MathJax-Element-78-Title MathJax-Element-78-Desc"><title id="MathJax-Element-78-Title">Equation</title><desc id="MathJax-Element-78-Desc">3 element-of upper S</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-33"></use><use x="782" y="0" xlink:href="#MJMAIN-2208"></use><use x="1732" y="0" xlink:href="#MJMATHI-53"></use></g></svg></span>&nbsp;and <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-79-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="5.5ex" height="2.333ex" viewBox="0 -739.9 2382.6 978.9" role="math" aria-labelledby="MathJax-Element-79-Title MathJax-Element-79-Desc"><title id="MathJax-Element-79-Title">Equation</title><desc id="MathJax-Element-79-Desc">4 not-an-element-of upper S</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-34"></use><use x="782" y="0" xlink:href="#MJMAIN-2209"></use><use x="1732" y="0" xlink:href="#MJMATHI-53"></use></g></svg></span>.</p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-80-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="24ex" height="2.833ex" viewBox="0 -978.9 10307 1252.9" role="math" aria-labelledby="MathJax-Element-80-Title MathJax-Element-80-Desc"><title id="MathJax-Element-80-Title">Equation</title><desc id="MathJax-Element-80-Desc">a equals StartRoot 3 x minus 1 EndRoot plus left-parenthesis 1 plus x right-parenthesis squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-61"></use><use x="811" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1872,0)"><use x="0" y="28" xlink:href="#MJMAIN-221A"></use><rect stroke="none" width="2814" height="60" x="838" y="778"></rect><g transform="translate(838,0)"><use xlink:href="#MJMAIN-33"></use><use x="505" y="0" xlink:href="#MJMATHI-78"></use><use x="1304" y="0" xlink:href="#MJMAIN-2212"></use><use x="2309" y="0" xlink:href="#MJMAIN-31"></use></g></g><use x="5747" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(6752,0)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMAIN-31"></use><use x="1121" y="0" xlink:href="#MJMAIN-2B"></use><use x="2126" y="0" xlink:href="#MJMATHI-78"></use><use x="2703" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4380" y="688" xlink:href="#MJMAIN-32"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-81-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="18.833ex" height="4.333ex" viewBox="0 -1346.2 8105.1 1857" role="math" aria-labelledby="MathJax-Element-81-Title MathJax-Element-81-Desc"><title id="MathJax-Element-81-Title">Equation</title><desc id="MathJax-Element-81-Desc">a equals StartFraction left-parenthesis b plus c right-parenthesis squared Over d EndFraction plus StartFraction left-parenthesis e plus f right-parenthesis squared Over g EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-61"></use><use x="811" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1594,0)"><g transform="translate(397,0)"><rect stroke="none" width="2208" height="60" x="0" y="220"></rect><g transform="translate(60,628)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><g transform="translate(278,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-62"></use><use transform="scale(0.707)" x="434" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.707)" x="1217" y="0" xlink:href="#MJMATHI-63"></use></g><use transform="scale(0.707)" x="2049" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="3009" y="550" xlink:href="#MJMAIN-32"></use></g><use transform="scale(0.707)" x="1297" y="-626" xlink:href="#MJMATHI-64"></use></g></g><use x="4542" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(5325,0)"><g transform="translate(342,0)"><rect stroke="none" width="2316" height="60" x="0" y="220"></rect><g transform="translate(60,628)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><g transform="translate(278,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-65"></use><use transform="scale(0.707)" x="471" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.707)" x="1254" y="0" xlink:href="#MJMATHI-66"></use></g><use transform="scale(0.707)" x="2203" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="3198" y="550" xlink:href="#MJMAIN-32"></use></g><use transform="scale(0.707)" x="1395" y="-488" xlink:href="#MJMATHI-67"></use></g></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-82-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="43.667ex" height="4.333ex" viewBox="0 -1173.4 18806.1 1846.9" role="math" aria-labelledby="MathJax-Element-82-Title MathJax-Element-82-Desc"><title id="MathJax-Element-82-Title">Equation</title><desc id="MathJax-Element-82-Desc">x equals left-bracket left-parenthesis a plus b right-parenthesis squared left-parenthesis c minus b right-parenthesis squared right-bracket plus left-bracket left-parenthesis d plus e right-parenthesis squared left-parenthesis f minus e right-parenthesis squared right-bracket</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1915,0)"><use xlink:href="#MJSZ2-5B"></use><g transform="translate(477,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-61"></use><use x="756" y="0" xlink:href="#MJMAIN-2B"></use><use x="1761" y="0" xlink:href="#MJMATHI-62"></use></g><use x="2589" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4219" y="688" xlink:href="#MJMAIN-32"></use><g transform="translate(3440,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-63"></use><use x="660" y="0" xlink:href="#MJMAIN-2212"></use><use x="1665" y="0" xlink:href="#MJMATHI-62"></use></g><use x="2493" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4083" y="688" xlink:href="#MJMAIN-32"></use></g></g><use x="7262" y="-1" xlink:href="#MJSZ2-5D"></use></g><use x="9876" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(10882,0)"><use xlink:href="#MJSZ2-5B"></use><g transform="translate(477,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-64"></use><use x="750" y="0" xlink:href="#MJMAIN-2B"></use><use x="1755" y="0" xlink:href="#MJMATHI-65"></use></g><use x="2620" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4263" y="688" xlink:href="#MJMAIN-32"></use><g transform="translate(3471,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-66"></use><use x="777" y="0" xlink:href="#MJMAIN-2212"></use><use x="1782" y="0" xlink:href="#MJMATHI-65"></use></g><use x="2647" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4301" y="688" xlink:href="#MJMAIN-32"></use></g></g><use x="7447" y="-1" xlink:href="#MJSZ2-5D"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-83-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="27.833ex" height="4.333ex" viewBox="0 -1173.4 11990.1 1846.9" role="math" aria-labelledby="MathJax-Element-83-Title MathJax-Element-83-Desc"><title id="MathJax-Element-83-Title">Equation</title><desc id="MathJax-Element-83-Desc">x equals left-bracket left-parenthesis a plus b right-parenthesis squared right-bracket plus left-bracket left-parenthesis f minus e right-parenthesis squared right-bracket</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1915,0)"><use xlink:href="#MJSZ2-5B"></use><g transform="translate(477,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-61"></use><use x="756" y="0" xlink:href="#MJMAIN-2B"></use><use x="1761" y="0" xlink:href="#MJMATHI-62"></use></g><use x="2589" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4219" y="688" xlink:href="#MJMAIN-32"></use></g><use x="3917" y="-1" xlink:href="#MJSZ2-5D"></use></g><use x="6532" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(7537,0)"><use xlink:href="#MJSZ2-5B"></use><g transform="translate(477,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-66"></use><use x="777" y="0" xlink:href="#MJMAIN-2212"></use><use x="1782" y="0" xlink:href="#MJMATHI-65"></use></g><use x="2647" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4301" y="688" xlink:href="#MJMAIN-32"></use></g><use x="3975" y="-1" xlink:href="#MJSZ2-5D"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-84-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="14.667ex" height="4.333ex" viewBox="0 -1173.4 6310.1 1846.9" role="math" aria-labelledby="MathJax-Element-84-Title MathJax-Element-84-Desc"><title id="MathJax-Element-84-Title">Equation</title><desc id="MathJax-Element-84-Desc">x equals left-bracket left-parenthesis a plus b right-parenthesis squared right-bracket</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1915,0)"><use xlink:href="#MJSZ2-5B"></use><g transform="translate(477,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-61"></use><use x="756" y="0" xlink:href="#MJMAIN-2B"></use><use x="1761" y="0" xlink:href="#MJMATHI-62"></use></g><use x="2589" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4219" y="688" xlink:href="#MJMAIN-32"></use></g><use x="3917" y="-1" xlink:href="#MJSZ2-5D"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-85-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="12.5ex" height="2.833ex" viewBox="0 -978.9 5356.1 1252.9" role="math" aria-labelledby="MathJax-Element-85-Title MathJax-Element-85-Desc"><title id="MathJax-Element-85-Title">Equation</title><desc id="MathJax-Element-85-Desc">x equals left-parenthesis a plus b right-parenthesis squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1915,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-61"></use><use x="756" y="0" xlink:href="#MJMAIN-2B"></use><use x="1761" y="0" xlink:href="#MJMATHI-62"></use></g><use x="2589" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="4219" y="688" xlink:href="#MJMAIN-32"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-86-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="10.667ex" height="2.167ex" viewBox="0 -854.8 4568.1 960.8" role="math" aria-labelledby="MathJax-Element-86-Title MathJax-Element-86-Desc"><title id="MathJax-Element-86-Title">Equation</title><desc id="MathJax-Element-86-Desc">x equals a plus b squared</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><use x="1915" y="0" xlink:href="#MJMATHI-61"></use><use x="2671" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(3677,0)"><use xlink:href="#MJMATHI-62"></use><use transform="scale(0.707)" x="613" y="513" xlink:href="#MJMAIN-32"></use></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-87-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="7.167ex" height="6.5ex" viewBox="0 -1635.2 3065.6 2788.8" role="math" aria-labelledby="MathJax-Element-87-Title MathJax-Element-87-Desc"><title id="MathJax-Element-87-Title">Equation</title><desc id="MathJax-Element-87-Desc">StartFraction one-half Over three-fourths EndFraction equals two-thirds</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(120,0)"><rect stroke="none" width="769" height="60" x="0" y="220"></rect><g transform="translate(60,856)"><g transform="translate(120,0)"><rect stroke="none" width="409" height="60" x="0" y="146"></rect><use transform="scale(0.574)" x="104" y="656" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="104" y="-707" xlink:href="#MJMAIN-32"></use></g></g><g transform="translate(60,-722)"><g transform="translate(120,0)"><rect stroke="none" width="409" height="60" x="0" y="146"></rect><use transform="scale(0.574)" x="104" y="678" xlink:href="#MJMAIN-33"></use><use transform="scale(0.574)" x="104" y="-718" xlink:href="#MJMAIN-34"></use></g></g></g><use x="1287" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2070,0)"><g transform="translate(397,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="84" y="-597" xlink:href="#MJMAIN-33"></use></g></g></g></svg></span></p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-88-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="47.5ex" height="2.5ex" viewBox="0 -773.9 20442.9 1047.9" role="math" aria-labelledby="MathJax-Element-88-Title MathJax-Element-88-Desc"><title id="MathJax-Element-88-Title">Equation</title><desc id="MathJax-Element-88-Desc">2 left-parenthesis left-parenthesis x plus 1 right-parenthesis left-parenthesis x plus 3 right-parenthesis minus 4 left-parenthesis left-parenthesis x minus 1 right-parenthesis left-parenthesis x plus 2 right-parenthesis minus 3 right-parenthesis right-parenthesis equals y</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-32"></use><g transform="translate(671,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use x="799" y="0" xlink:href="#MJMAIN-2B"></use><use x="1804" y="0" xlink:href="#MJMAIN-31"></use></g><use x="2703" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(3264,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use x="799" y="0" xlink:href="#MJMAIN-2B"></use><use x="1804" y="0" xlink:href="#MJMAIN-33"></use></g><use x="2703" y="0" xlink:href="#MJMAIN-29"></use></g><use x="6583" y="0" xlink:href="#MJMAIN-2212"></use><use x="7589" y="0" xlink:href="#MJMAIN-34"></use><g transform="translate(8260,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use x="799" y="0" xlink:href="#MJMAIN-2212"></use><use x="1804" y="0" xlink:href="#MJMAIN-31"></use></g><use x="2703" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(3264,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use x="799" y="0" xlink:href="#MJMAIN-2B"></use><use x="1804" y="0" xlink:href="#MJMAIN-32"></use></g><use x="2703" y="0" xlink:href="#MJMAIN-29"></use></g><use x="6583" y="0" xlink:href="#MJMAIN-2212"></use><use x="7589" y="0" xlink:href="#MJMAIN-33"></use></g><use x="8488" y="0" xlink:href="#MJMAIN-29"></use></g></g><use x="17536" y="0" xlink:href="#MJMAIN-29"></use></g><use x="18880" y="0" xlink:href="#MJMAIN-3D"></use><use x="19940" y="0" xlink:href="#MJMATHI-79"></use></g></svg></span>&nbsp;</p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-89-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="25.667ex" height="3.667ex" viewBox="0 -1124.3 11056.8 1603.2" role="math" aria-labelledby="MathJax-Element-89-Title MathJax-Element-89-Desc"><title id="MathJax-Element-89-Title">Equation</title><desc id="MathJax-Element-89-Desc">cosine x equals 1 minus StartFraction x squared Over 2 exclamation-mark EndFraction plus StartFraction x Superscript 4 Baseline Over 4 exclamation-mark EndFraction minus ellipsis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-63"></use><use x="449" y="0" xlink:href="#MJMAIN-6F"></use><use x="954" y="0" xlink:href="#MJMAIN-73"></use><use x="1519" y="0" xlink:href="#MJMATHI-78"></use><use x="2374" y="0" xlink:href="#MJMAIN-3D"></use><use x="3435" y="0" xlink:href="#MJMAIN-31"></use><use x="4162" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(4945,0)"><g transform="translate(342,0)"><rect stroke="none" width="888" height="60" x="0" y="220"></rect><g transform="translate(60,459)"><use transform="scale(0.707)" xlink:href="#MJMATHI-78"></use><use transform="scale(0.574)" x="710" y="446" xlink:href="#MJMAIN-32"></use></g><g transform="translate(165,-458)"><use transform="scale(0.707)" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-21"></use></g></g></g><use x="6518" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(7301,0)"><g transform="translate(342,0)"><rect stroke="none" width="888" height="60" x="0" y="220"></rect><g transform="translate(60,459)"><use transform="scale(0.707)" xlink:href="#MJMATHI-78"></use><use transform="scale(0.574)" x="710" y="446" xlink:href="#MJMAIN-34"></use></g><g transform="translate(165,-458)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-21"></use></g></g></g><use x="8874" y="0" xlink:href="#MJMAIN-2212"></use><use x="9879" y="0" xlink:href="#MJMAIN-2026"></use></g></svg></span>&nbsp;</p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-90-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="15.5ex" height="4.167ex" viewBox="0 -1363.6 6666 1814.2" role="math" aria-labelledby="MathJax-Element-90-Title MathJax-Element-90-Desc"><title id="MathJax-Element-90-Title">Equation</title><desc id="MathJax-Element-90-Desc">x equals StartFraction negative b plus-or-minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="854" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1637,0)"><g transform="translate(397,0)"><rect stroke="none" width="4510" height="60" x="0" y="220"></rect><g transform="translate(60,562)"><use transform="scale(0.707)" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="783" y="0" xlink:href="#MJMATHI-62"></use><use transform="scale(0.707)" x="1217" y="0" xlink:href="#MJMAIN-B1"></use><g transform="translate(1414,0)"><use transform="scale(0.707)" x="0" y="192" xlink:href="#MJSZ1-221A"></use><rect stroke="none" width="2265" height="42" x="710" y="701"></rect><g transform="translate(710,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-62"></use><use transform="scale(0.574)" x="534" y="481" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="943" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1726" y="0" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="2231" y="0" xlink:href="#MJMATHI-61"></use><use transform="scale(0.707)" x="2765" y="0" xlink:href="#MJMATHI-63"></use></g></g></g><g transform="translate(1887,-423)"><use transform="scale(0.707)" xlink:href="#MJMAIN-32"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMATHI-61"></use></g></g></g></g></svg></span>&nbsp;</p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-91-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="8.833ex" height="3.667ex" viewBox="0 -1361.4 3810 1590.4" role="math" aria-labelledby="MathJax-Element-91-Title MathJax-Element-91-Desc"><title id="MathJax-Element-91-Title">Equation</title><desc id="MathJax-Element-91-Desc">x plus y Superscript StartFraction 2 Over k plus 1 EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-78"></use><use x="799" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(1804,0)"><use xlink:href="#MJMATHI-79"></use><g transform="translate(504,582)"><g transform="translate(120,0)"><rect stroke="none" width="1161" height="60" x="0" y="146"></rect><use transform="scale(0.574)" x="759" y="656" xlink:href="#MJMAIN-32"></use><g transform="translate(60,-422)"><use transform="scale(0.574)" xlink:href="#MJMATHI-6B"></use><use transform="scale(0.574)" x="526" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.574)" x="1309" y="0" xlink:href="#MJMAIN-31"></use></g></g></g></g></g></svg></span>&nbsp;</p>
</li><li>
<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-92-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.833ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="12.333ex" height="4ex" viewBox="0 -953.5 5299.6 1744.7" role="math" aria-labelledby="MathJax-Element-92-Title MathJax-Element-92-Desc"><title id="MathJax-Element-92-Title">Equation</title><desc id="MathJax-Element-92-Desc">lim over x right-arrow 0 ⁡ StartFraction sine x Over x EndFraction equals 1</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(35,0)"><use xlink:href="#MJMAIN-6C"></use><use x="283" y="0" xlink:href="#MJMAIN-69"></use><use x="566" y="0" xlink:href="#MJMAIN-6D"></use></g><g transform="translate(0,-655)"><use transform="scale(0.707)" xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="577" y="0" xlink:href="#MJMAIN-2192"></use><use transform="scale(0.707)" x="1582" y="0" xlink:href="#MJMAIN-30"></use></g><g transform="translate(1475,0)"><g transform="translate(286,0)"><rect stroke="none" width="1573" height="60" x="0" y="220"></rect><g transform="translate(60,459)"><use transform="scale(0.707)" xlink:href="#MJMAIN-73"></use><use transform="scale(0.707)" x="399" y="0" xlink:href="#MJMAIN-69"></use><use transform="scale(0.707)" x="682" y="0" xlink:href="#MJMAIN-6E"></use><use transform="scale(0.707)" x="1478" y="0" xlink:href="#MJMATHI-78"></use></g><use transform="scale(0.707)" x="824" y="-488" xlink:href="#MJMATHI-78"></use></g></g><use x="3733" y="0" xlink:href="#MJMAIN-3D"></use><use x="4794" y="0" xlink:href="#MJMAIN-31"></use></g></svg></span>&nbsp;</p>
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<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-93-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="30.167ex" height="4.5ex" viewBox="0 -1342.6 13016.4 1907.9" role="math" aria-labelledby="MathJax-Element-93-Title MathJax-Element-93-Desc"><title id="MathJax-Element-93-Title">Equation</title><desc id="MathJax-Element-93-Desc">d equals StartRoot left-parenthesis x 2 minus x 1 right-parenthesis squared plus left-parenthesis y 2 minus y 1 right-parenthesis squared EndRoot</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-64"></use><use x="805" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1866,0)"><use x="0" y="108" xlink:href="#MJSZ2-221A"></use><rect stroke="none" width="10144" height="60" x="1005" y="1208"></rect><g transform="translate(1005,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="1650" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(2655,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="3689" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="5775" y="688" xlink:href="#MJMAIN-32"></use><use x="4762" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(5768,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="700" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="1568" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(2573,0)"><use xlink:href="#MJMATHI-79"></use><use transform="scale(0.707)" x="700" y="-213" xlink:href="#MJMAIN-31"></use></g><use x="3525" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.707)" x="5543" y="688" xlink:href="#MJMAIN-32"></use></g></g></g></g></svg></span></p>
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<p class="MsoNormal"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-94-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="18.333ex" height="2ex" viewBox="0 -703.9 7914.9 882.7" role="math" aria-labelledby="MathJax-Element-94-Title MathJax-Element-94-Desc"><title id="MathJax-Element-94-Title">Equation</title><desc id="MathJax-Element-94-Desc">upper F Subscript n Baseline equals upper F Subscript n minus 1 Baseline plus upper F Subscript n minus 2</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-46"></use><use transform="scale(0.707)" x="916" y="-213" xlink:href="#MJMATHI-6E"></use><use x="1453" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2514,0)"><use xlink:href="#MJMATHI-46"></use><g transform="translate(648,-150)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1388" y="0" xlink:href="#MJMAIN-31"></use></g></g><use x="4823" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(5828,0)"><use xlink:href="#MJMATHI-46"></use><g transform="translate(648,-150)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="605" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1388" y="0" xlink:href="#MJMAIN-32"></use></g></g></g></svg></span></p>
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<h2>Source: Silicon and Related Materials (Elsevier)</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-95-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -9ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="38.667ex" height="19ex" viewBox="0 -4340.3 16662.2 8180.6" role="math" aria-labelledby="MathJax-Element-95-Title MathJax-Element-95-Desc"><title id="MathJax-Element-95-Title">Equation</title><desc id="MathJax-Element-95-Desc">bold upper Pi equals matrix row 1column 1 pi 11 pi 12 pi 12000 row 2column 1 pi 12 pi 11 pi 12000 row 3column 1 pi 12 pi 12 pi 11000 row 4column 1 000 pi 4400 row 5column 1 0000 pi 440 row 6column 1 00000 pi 44</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAINB-3A0"></use><use x="1182" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2243,4326)"><use x="0" y="-1165" xlink:href="#MJSZ4-239B"></use><g transform="translate(0,-6223.272074882996) scale(1,7.166567862714509)"><use xlink:href="#MJSZ4-239C"></use></g><use x="0" y="-7499" xlink:href="#MJSZ4-239D"></use></g><g transform="translate(3290,0)"><g transform="translate(-11,0)"><g transform="translate(0,3526)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g></g><g transform="translate(0,2095)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g><g transform="translate(0,665)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g><use x="884" y="-766" xlink:href="#MJMAIN-30"></use><use x="884" y="-2196" xlink:href="#MJMAIN-30"></use><use x="884" y="-3627" xlink:href="#MJMAIN-30"></use></g><g transform="translate(2178,0)"><g transform="translate(0,3526)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g><g transform="translate(0,2095)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g></g><g transform="translate(0,665)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g><use x="442" y="-766" xlink:href="#MJMAIN-30"></use><use x="442" y="-2196" xlink:href="#MJMAIN-30"></use><use x="442" y="-3627" xlink:href="#MJMAIN-30"></use></g><g transform="translate(4367,0)"><g transform="translate(0,3526)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g><g transform="translate(0,2095)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g><g transform="translate(0,665)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g></g><use x="0" y="-766" xlink:href="#MJMAIN-30"></use><use x="0" y="-2196" xlink:href="#MJMAIN-30"></use><use x="0" y="-3627" xlink:href="#MJMAIN-30"></use></g><g transform="translate(6557,0)"><use x="442" y="3526" xlink:href="#MJMAIN-30"></use><use x="442" y="2095" xlink:href="#MJMAIN-30"></use><use x="442" y="665" xlink:href="#MJMAIN-30"></use><g transform="translate(0,-766)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-34"></use></g></g><use x="442" y="-2196" xlink:href="#MJMAIN-30"></use><use x="442" y="-3627" xlink:href="#MJMAIN-30"></use></g><g transform="translate(8746,0)"><use x="442" y="3526" xlink:href="#MJMAIN-30"></use><use x="442" y="2095" xlink:href="#MJMAIN-30"></use><use x="442" y="665" xlink:href="#MJMAIN-30"></use><use x="442" y="-766" xlink:href="#MJMAIN-30"></use><g transform="translate(0,-2196)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-34"></use></g></g><use x="442" y="-3627" xlink:href="#MJMAIN-30"></use></g><g transform="translate(10935,0)"><use x="442" y="3526" xlink:href="#MJMAIN-30"></use><use x="442" y="2095" xlink:href="#MJMAIN-30"></use><use x="442" y="665" xlink:href="#MJMAIN-30"></use><use x="442" y="-766" xlink:href="#MJMAIN-30"></use><use x="442" y="-2196" xlink:href="#MJMAIN-30"></use><g transform="translate(0,-3627)"><use xlink:href="#MJMATHI-3C0"></use><g transform="translate(575,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-34"></use></g></g></g></g><g transform="translate(15782,4326)"><use x="0" y="-1164" xlink:href="#MJSZ4-239E"></use><g transform="translate(0,-6223.239313572543) scale(1,7.168127925117005)"><use xlink:href="#MJSZ4-239F"></use></g><use x="0" y="-7499" xlink:href="#MJSZ4-23A0"></use></g></g></svg></span>
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<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-96-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="21.833ex" height="4ex" viewBox="0 -1028.1 9406.5 1707.8" role="math" aria-labelledby="MathJax-Element-96-Title MathJax-Element-96-Desc"><title id="MathJax-Element-96-Title">Equation</title><desc id="MathJax-Element-96-Desc">s 11 equals StartFraction c 11 plus c 12 Over left-parenthesis c 11 minus c 12 right-parenthesis left-parenthesis c 11 plus 2 c 12 right-parenthesis EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-73"></use><g transform="translate(474,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g><use x="1565" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2348,0)"><g transform="translate(397,0)"><rect stroke="none" width="6539" height="60" x="0" y="220"></rect><g transform="translate(2032,594)"><use transform="scale(0.707)" xlink:href="#MJMATHI-63"></use><g transform="translate(309,-145)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g><use transform="scale(0.707)" x="1357" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(1513,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-63"></use><g transform="translate(309,-145)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g></g><g transform="translate(60,-482)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><g transform="translate(278,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-63"></use><g transform="translate(309,-145)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g><use transform="scale(0.707)" x="1357" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(1513,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-63"></use><g transform="translate(309,-145)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g></g><use transform="scale(0.707)" x="3892" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(3031,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><g transform="translate(278,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-63"></use><g transform="translate(309,-145)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-31"></use></g><use transform="scale(0.707)" x="1357" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(1513,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-32"></use><g transform="translate(357,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-63"></use><g transform="translate(309,-145)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-32"></use></g></g></g></g><use transform="scale(0.707)" x="4397" y="0" xlink:href="#MJMAIN-29"></use></g></g></g></g></g></svg></span>
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<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-97-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="33ex" height="2.167ex" viewBox="0 -728.9 14188.8 915.5" role="math" aria-labelledby="MathJax-Element-97-Title MathJax-Element-97-Desc"><title id="MathJax-Element-97-Title">Equation</title><desc id="MathJax-Element-97-Desc">Si upper O 2 plus 6 upper H upper F right-arrow upper H 2 Si upper F 6 plus 2 upper H 2 upper O</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-53"></use><use x="561" y="0" xlink:href="#MJMAIN-69"></use><g transform="translate(1010,0)"><use xlink:href="#MJMAIN-4F"></use><use transform="scale(0.707)" x="1107" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="2472" y="0" xlink:href="#MJMAIN-2B"></use><use x="3478" y="0" xlink:href="#MJMAIN-36"></use><use x="3983" y="0" xlink:href="#MJMAIN-48"></use><use x="4738" y="0" xlink:href="#MJMAIN-46"></use><use x="5673" y="0" xlink:href="#MJMAIN-2192"></use><g transform="translate(6956,0)"><use xlink:href="#MJMAIN-48"></use><use transform="scale(0.707)" x="1067" y="-213" xlink:href="#MJMAIN-32"></use></g><g transform="translate(8335,0)"><use xlink:href="#MJMAIN-53"></use><use x="561" y="0" xlink:href="#MJMAIN-69"></use></g><g transform="translate(9346,0)"><use xlink:href="#MJMAIN-46"></use><use transform="scale(0.707)" x="930" y="-213" xlink:href="#MJMAIN-36"></use></g><use x="10683" y="0" xlink:href="#MJMAIN-2B"></use><use x="11688" y="0" xlink:href="#MJMAIN-32"></use><g transform="translate(12193,0)"><use xlink:href="#MJMAIN-48"></use><use transform="scale(0.707)" x="1067" y="-213" xlink:href="#MJMAIN-32"></use></g><use x="13405" y="0" xlink:href="#MJMAIN-4F"></use></g></svg></span>
</li>
<h2>Source: Systematic Synthesis Methods (Elsevier)</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-98-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="33.5ex" height="5.667ex" viewBox="0 -1473.4 14409.7 2446.9" role="math" aria-labelledby="MathJax-Element-98-Title MathJax-Element-98-Desc"><title id="MathJax-Element-98-Title">Equation</title><desc id="MathJax-Element-98-Desc">StartFraction d Over d x EndFraction left-parenthesis upper E ⁡ left-parenthesis x right-parenthesis upper A ⁡ left-parenthesis x right-parenthesis StartFraction d w ⁡ left-parenthesis x right-parenthesis Over d x EndFraction right-parenthesis plus p ⁡ left-parenthesis x right-parenthesis equals 0</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(120,0)"><rect stroke="none" width="924" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="373" y="649" xlink:href="#MJMAIN-64"></use><g transform="translate(60,-444)"><use transform="scale(0.707)" xlink:href="#MJMAIN-64"></use><use transform="scale(0.707)" x="561" y="0" xlink:href="#MJMATHI-78"></use></g></g><g transform="translate(1331,0)"><use xlink:href="#MJSZ3-28"></use><g transform="translate(741,0)"><use xlink:href="#MJMATHI-45"></use><use x="769" y="0" xlink:href="#MJMAIN-28"></use><use x="1163" y="0" xlink:href="#MJMATHI-78"></use><use x="1740" y="0" xlink:href="#MJMAIN-29"></use><use x="2134" y="0" xlink:href="#MJMATHI-41"></use><use x="2889" y="0" xlink:href="#MJMAIN-28"></use><use x="3283" y="0" xlink:href="#MJMATHI-78"></use><use x="3860" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(4254,0)"><g transform="translate(286,0)"><rect stroke="none" width="1991" height="60" x="0" y="220"></rect><g transform="translate(60,628)"><use transform="scale(0.707)" xlink:href="#MJMAIN-64"></use><use transform="scale(0.707)" x="561" y="0" xlink:href="#MJMATHI-77"></use><use transform="scale(0.707)" x="1282" y="0" xlink:href="#MJMAIN-28"></use><use transform="scale(0.707)" x="1676" y="0" xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="2253" y="0" xlink:href="#MJMAIN-29"></use></g><g transform="translate(593,-444)"><use transform="scale(0.707)" xlink:href="#MJMAIN-64"></use><use transform="scale(0.707)" x="561" y="0" xlink:href="#MJMATHI-78"></use></g></g></g></g><use x="7393" y="-1" xlink:href="#MJSZ3-29"></use></g><use x="9687" y="0" xlink:href="#MJMAIN-2B"></use><use x="10693" y="0" xlink:href="#MJMATHI-70"></use><use x="11201" y="0" xlink:href="#MJMAIN-28"></use><use x="11595" y="0" xlink:href="#MJMATHI-78"></use><use x="12172" y="0" xlink:href="#MJMAIN-29"></use><use x="12843" y="0" xlink:href="#MJMAIN-3D"></use><use x="13904" y="0" xlink:href="#MJMAIN-30"></use></g></svg></span>
</li>
<h2>Source: Pressure Sensors (Elsevier)</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-99-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="29.333ex" height="4.333ex" viewBox="0 -1173.4 12609.5 1846.9" role="math" aria-labelledby="MathJax-Element-99-Title MathJax-Element-99-Desc"><title id="MathJax-Element-99-Title">Equation</title><desc id="MathJax-Element-99-Desc">TCS Subscript gas Baseline equals minus one-half left-parenthesis StartFraction upper P Subscript seal Baseline Over upper P Subscript max Baseline EndFraction right-parenthesis left-parenthesis StartFraction 1 Over upper T Subscript seal Baseline EndFraction right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-54"></use><use x="727" y="0" xlink:href="#MJMAIN-43"></use><use x="1454" y="0" xlink:href="#MJMAIN-53"></use><g transform="translate(2015,-150)"><use transform="scale(0.707)" xlink:href="#MJMAIN-67"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="1010" y="0" xlink:href="#MJMAIN-73"></use></g><use x="3389" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(4449,0)"><use xlink:href="#MJMAIN-2212"></use><g transform="translate(949,0)"><g transform="translate(120,0)"><rect stroke="none" width="477" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="84" y="-598" xlink:href="#MJMAIN-32"></use></g><g transform="translate(883,0)"><use xlink:href="#MJSZ2-28"></use><g transform="translate(602,0)"><g transform="translate(120,0)"><rect stroke="none" width="1725" height="60" x="0" y="220"></rect><g transform="translate(128,617)"><use transform="scale(0.707)" xlink:href="#MJMATHI-50"></use><g transform="translate(457,-162)"><use transform="scale(0.574)" xlink:href="#MJMAIN-73"></use><use transform="scale(0.574)" x="399" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.574)" x="848" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.574)" x="1353" y="0" xlink:href="#MJMAIN-6C"></use></g></g><g transform="translate(60,-435)"><use transform="scale(0.707)" xlink:href="#MJMATHI-50"></use><g transform="translate(457,-107)"><use transform="scale(0.574)" xlink:href="#MJMAIN-6D"></use><use transform="scale(0.574)" x="838" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.574)" x="1343" y="0" xlink:href="#MJMAIN-78"></use></g></g></g></g><use x="2567" y="-1" xlink:href="#MJSZ2-29"></use></g><g transform="translate(4219,0)"><use xlink:href="#MJSZ2-28"></use><g transform="translate(602,0)"><g transform="translate(120,0)"><rect stroke="none" width="1546" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="840" y="638" xlink:href="#MJMAIN-31"></use><g transform="translate(60,-431)"><use transform="scale(0.707)" xlink:href="#MJMATHI-54"></use><g transform="translate(416,-162)"><use transform="scale(0.574)" xlink:href="#MJMAIN-73"></use><use transform="scale(0.574)" x="399" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.574)" x="848" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.574)" x="1353" y="0" xlink:href="#MJMAIN-6C"></use></g></g></g></g><use x="2388" y="-1" xlink:href="#MJSZ2-29"></use></g></g></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-100-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -4ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="29.167ex" height="9.167ex" viewBox="0 -2302.7 12522.7 3971.7" role="math" aria-labelledby="MathJax-Element-100-Title MathJax-Element-100-Desc"><title id="MathJax-Element-100-Title">Equation</title><desc id="MathJax-Element-100-Desc">upper B Subscript p Baseline equals StartStartFraction StartFraction 7 minus v squared Over 3 EndFraction left-parenthesis 1 plus StartFraction c squared Over a squared EndFraction plus StartFraction c Superscript 4 Baseline Over a Superscript 4 Baseline EndFraction right-parenthesis plus StartFraction left-parenthesis 3 minus v right-parenthesis squared c squared Over left-parenthesis 1 plus v right-parenthesis a squared EndFraction OverOver left-parenthesis 1 minus v right-parenthesis left-parenthesis 1 minus StartFraction c Superscript 4 Baseline Over a Superscript 4 Baseline EndFraction right-parenthesis left-parenthesis 1 minus StartFraction c squared Over a squared EndFraction right-parenthesis EndEndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-42"></use><use transform="scale(0.707)" x="1080" y="-213" xlink:href="#MJMATHI-70"></use><use x="1500" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2283,0)"><g transform="translate(397,0)"><rect stroke="none" width="9720" height="60" x="0" y="220"></rect><g transform="translate(60,1165)"><g transform="translate(120,0)"><rect stroke="none" width="1488" height="60" x="0" y="146"></rect><g transform="translate(60,389)"><use transform="scale(0.574)" xlink:href="#MJMAIN-37"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(739,0)"><use transform="scale(0.574)" xlink:href="#MJMATHI-76"></use><use transform="scale(0.574)" x="489" y="362" xlink:href="#MJMAIN-32"></use></g></g><use transform="scale(0.574)" x="1043" y="-706" xlink:href="#MJMAIN-33"></use></g><g transform="translate(1728,0)"><use transform="scale(0.707)" xlink:href="#MJSZ3-28"></use><g transform="translate(523,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(910,0)"><g transform="translate(120,0)"><rect stroke="none" width="773" height="60" x="0" y="146"></rect><g transform="translate(87,383)"><use transform="scale(0.574)" xlink:href="#MJMATHI-63"></use><use transform="scale(0.574)" x="438" y="362" xlink:href="#MJMAIN-32"></use></g><g transform="translate(60,-572)"><use transform="scale(0.574)" xlink:href="#MJMATHI-61"></use><use transform="scale(0.574)" x="534" y="288" xlink:href="#MJMAIN-32"></use></g></g></g><use transform="scale(0.707)" x="2721" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(2478,0)"><g transform="translate(120,0)"><rect stroke="none" width="773" height="60" x="0" y="146"></rect><g transform="translate(87,383)"><use transform="scale(0.574)" xlink:href="#MJMATHI-63"></use><use transform="scale(0.574)" x="438" y="362" xlink:href="#MJMAIN-34"></use></g><g transform="translate(60,-579)"><use transform="scale(0.574)" xlink:href="#MJMATHI-61"></use><use transform="scale(0.574)" x="534" y="288" xlink:href="#MJMAIN-34"></use></g></g></g></g><use transform="scale(0.707)" x="5679" y="-1" xlink:href="#MJSZ3-29"></use></g><use transform="scale(0.707)" x="8864" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(6821,0)"><g transform="translate(120,0)"><rect stroke="none" width="2539" height="60" x="0" y="146"></rect><g transform="translate(60,520)"><use transform="scale(0.574)" xlink:href="#MJMAIN-28"></use><g transform="translate(226,0)"><use transform="scale(0.574)" xlink:href="#MJMAIN-33"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.574)" x="1288" y="0" xlink:href="#MJMATHI-76"></use></g><use transform="scale(0.574)" x="2172" y="0" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="2566" y="373" xlink:href="#MJMAIN-32"></use><g transform="translate(1820,0)"><use transform="scale(0.574)" xlink:href="#MJMATHI-63"></use><use transform="scale(0.574)" x="438" y="362" xlink:href="#MJMAIN-32"></use></g></g><g transform="translate(206,-572)"><use transform="scale(0.574)" xlink:href="#MJMAIN-28"></use><g transform="translate(226,0)"><use transform="scale(0.574)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.574)" x="505" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.574)" x="1288" y="0" xlink:href="#MJMATHI-76"></use></g><use transform="scale(0.574)" x="2172" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(1473,0)"><use transform="scale(0.574)" xlink:href="#MJMATHI-61"></use><use transform="scale(0.574)" x="534" y="288" xlink:href="#MJMAIN-32"></use></g></g></g></g></g><g transform="translate(980,-977)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><g transform="translate(278,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1288" y="0" xlink:href="#MJMATHI-76"></use></g><use transform="scale(0.707)" x="2172" y="0" xlink:href="#MJMAIN-29"></use><g transform="translate(1814,0)"><use transform="scale(0.707)" xlink:href="#MJSZ3-28"></use><g transform="translate(523,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(910,0)"><g transform="translate(120,0)"><rect stroke="none" width="773" height="60" x="0" y="146"></rect><g transform="translate(87,383)"><use transform="scale(0.574)" xlink:href="#MJMATHI-63"></use><use transform="scale(0.574)" x="438" y="288" xlink:href="#MJMAIN-34"></use></g><g transform="translate(60,-579)"><use transform="scale(0.574)" xlink:href="#MJMATHI-61"></use><use transform="scale(0.574)" x="534" y="288" xlink:href="#MJMAIN-34"></use></g></g></g></g><use transform="scale(0.707)" x="3462" y="-1" xlink:href="#MJSZ3-29"></use></g><g transform="translate(4786,0)"><use transform="scale(0.707)" xlink:href="#MJSZ3-28"></use><g transform="translate(523,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="505" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(910,0)"><g transform="translate(120,0)"><rect stroke="none" width="773" height="60" x="0" y="146"></rect><g transform="translate(87,383)"><use transform="scale(0.574)" xlink:href="#MJMATHI-63"></use><use transform="scale(0.574)" x="438" y="288" xlink:href="#MJMAIN-32"></use></g><g transform="translate(60,-572)"><use transform="scale(0.574)" xlink:href="#MJMATHI-61"></use><use transform="scale(0.574)" x="534" y="288" xlink:href="#MJMAIN-32"></use></g></g></g></g><use transform="scale(0.707)" x="3462" y="-1" xlink:href="#MJSZ3-29"></use></g></g></g></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-101-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="17.333ex" height="4.5ex" viewBox="0 -1232.3 7455.2 1907.9" role="math" aria-labelledby="MathJax-Element-101-Title MathJax-Element-101-Desc"><title id="MathJax-Element-101-Title">Equation</title><desc id="MathJax-Element-101-Desc">upper Q Super Subscript tank Superscript Superscript series Baseline equals StartFraction 1 Over upper R Subscript s EndFraction StartRoot StartFraction upper L Subscript s Baseline Over upper C Subscript s Baseline EndFraction EndRoot</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-51"></use><g transform="translate(796,359)"><use transform="scale(0.707)" xlink:href="#MJMAIN-73"></use><use transform="scale(0.707)" x="399" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="848" y="0" xlink:href="#MJMAIN-72"></use><use transform="scale(0.707)" x="1245" y="0" xlink:href="#MJMAIN-69"></use><use transform="scale(0.707)" x="1528" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="1977" y="0" xlink:href="#MJMAIN-73"></use></g><g transform="translate(796,-335)"><use transform="scale(0.707)" xlink:href="#MJMAIN-74"></use><use transform="scale(0.707)" x="394" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="899" y="0" xlink:href="#MJMAIN-6E"></use><use transform="scale(0.707)" x="1460" y="0" xlink:href="#MJMAIN-6B"></use></g><use x="2853" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3914,0)"><g transform="translate(120,0)"><rect stroke="none" width="959" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="426" y="638" xlink:href="#MJMAIN-31"></use><g transform="translate(60,-435)"><use transform="scale(0.707)" xlink:href="#MJMATHI-52"></use><use transform="scale(0.574)" x="941" y="-185" xlink:href="#MJMAIN-73"></use></g></g><g transform="translate(1366,0)"><use x="0" y="-2" xlink:href="#MJSZ2-221A"></use><rect stroke="none" width="1168" height="60" x="1005" y="1098"></rect><g transform="translate(1005,0)"><g transform="translate(120,0)"><rect stroke="none" width="928" height="60" x="0" y="220"></rect><g transform="translate(72,562)"><use transform="scale(0.707)" xlink:href="#MJMATHI-4C"></use><use transform="scale(0.574)" x="844" y="-185" xlink:href="#MJMAIN-73"></use></g><g transform="translate(60,-451)"><use transform="scale(0.707)" xlink:href="#MJMATHI-43"></use><use transform="scale(0.574)" x="886" y="-185" xlink:href="#MJMAIN-73"></use></g></g></g></g></g></g></svg></span>
</li><li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-102-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="26.167ex" height="2.833ex" viewBox="0 -873.4 11281.6 1246.9" role="math" aria-labelledby="MathJax-Element-102-Title MathJax-Element-102-Desc"><title id="MathJax-Element-102-Title">Equation</title><desc id="MathJax-Element-102-Desc">upper Delta phi Subscript peak Baseline equals tangent Superscript negative 1 Baseline left-parenthesis k squared upper Q Super Subscript tank Superscript Superscript series Baseline right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-394"></use><g transform="translate(838,0)"><use xlink:href="#MJMATHI-3D5"></use><g transform="translate(601,-155)"><use transform="scale(0.707)" xlink:href="#MJMAIN-70"></use><use transform="scale(0.707)" x="561" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="1010" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="1515" y="0" xlink:href="#MJMAIN-6B"></use></g></g><use x="3264" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(4325,0)"><use xlink:href="#MJMAIN-74"></use><use x="394" y="0" xlink:href="#MJMAIN-61"></use><use x="899" y="0" xlink:href="#MJMAIN-6E"></use><g transform="translate(1460,362)"><use transform="scale(0.707)" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="783" y="0" xlink:href="#MJMAIN-31"></use></g></g><use x="6796" y="-1" xlink:href="#MJSZ1-28"></use><g transform="translate(7259,0)"><use xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="743" y="513" xlink:href="#MJMAIN-32"></use></g><g transform="translate(8242,0)"><use xlink:href="#MJMATHI-51"></use><g transform="translate(796,359)"><use transform="scale(0.707)" xlink:href="#MJMAIN-73"></use><use transform="scale(0.707)" x="399" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="848" y="0" xlink:href="#MJMAIN-72"></use><use transform="scale(0.707)" x="1245" y="0" xlink:href="#MJMAIN-69"></use><use transform="scale(0.707)" x="1528" y="0" xlink:href="#MJMAIN-65"></use><use transform="scale(0.707)" x="1977" y="0" xlink:href="#MJMAIN-73"></use></g><g transform="translate(796,-335)"><use transform="scale(0.707)" xlink:href="#MJMAIN-74"></use><use transform="scale(0.707)" x="394" y="0" xlink:href="#MJMAIN-61"></use><use transform="scale(0.707)" x="899" y="0" xlink:href="#MJMAIN-6E"></use><use transform="scale(0.707)" x="1460" y="0" xlink:href="#MJMAIN-6B"></use></g></g><use x="10818" y="-1" xlink:href="#MJSZ1-29"></use></g></svg></span>
</li>
<h2>Source: Resonators, Oscillators, and Frequency References (Elsevier)</h2>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-103-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="38.833ex" height="5.833ex" viewBox="0 -1540.1 16735.3 2507.9" role="math" aria-labelledby="MathJax-Element-103-Title MathJax-Element-103-Desc"><title id="MathJax-Element-103-Title">Equation</title><desc id="MathJax-Element-103-Desc">f equals 1.013 StartFraction upper W Over upper L squared EndFraction StartRoot StartFraction upper E Over rho EndFraction EndRoot StartRoot left-parenthesis 1 plus 0.293 StartFraction upper L squared Over EW Superscript 2 Baseline EndFraction sigma right-parenthesis EndRoot</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-66"></use><use x="832" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(1893,0)"><use xlink:href="#MJMAIN-31"></use><use x="505" y="0" xlink:href="#MJMAIN-2E"></use><use x="788" y="0" xlink:href="#MJMAIN-30"></use><use x="1293" y="0" xlink:href="#MJMAIN-31"></use><use x="1798" y="0" xlink:href="#MJMAIN-33"></use></g><g transform="translate(4196,0)"><g transform="translate(286,0)"><rect stroke="none" width="965" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="156" y="660" xlink:href="#MJMATHI-57"></use><g transform="translate(60,-601)"><use transform="scale(0.707)" xlink:href="#MJMATHI-4C"></use><use transform="scale(0.574)" x="844" y="467" xlink:href="#MJMAIN-32"></use></g></g></g><g transform="translate(5735,0)"><use x="0" y="-27" xlink:href="#MJSZ2-221A"></use><rect stroke="none" width="903" height="60" x="1005" y="1073"></rect><g transform="translate(1005,0)"><g transform="translate(120,0)"><rect stroke="none" width="663" height="60" x="0" y="220"></rect><use transform="scale(0.707)" x="84" y="638" xlink:href="#MJMATHI-45"></use><use transform="scale(0.707)" x="208" y="-488" xlink:href="#MJMATHI-3C1"></use></g></g></g><g transform="translate(7644,0)"><use x="0" y="6" xlink:href="#MJSZ3-221A"></use><rect stroke="none" width="8085" height="60" x="1005" y="1406"></rect><g transform="translate(1005,0)"><use xlink:href="#MJSZ2-28"></use><use x="602" y="0" xlink:href="#MJMAIN-31"></use><use x="1329" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(2334,0)"><use xlink:href="#MJMAIN-30"></use><use x="505" y="0" xlink:href="#MJMAIN-2E"></use><use x="788" y="0" xlink:href="#MJMAIN-32"></use><use x="1293" y="0" xlink:href="#MJMAIN-39"></use><use x="1798" y="0" xlink:href="#MJMAIN-33"></use></g><g transform="translate(4637,0)"><g transform="translate(286,0)"><rect stroke="none" width="1696" height="60" x="0" y="220"></rect><g transform="translate(425,453)"><use transform="scale(0.707)" xlink:href="#MJMATHI-4C"></use><use transform="scale(0.574)" x="844" y="467" xlink:href="#MJMAIN-32"></use></g><g transform="translate(60,-601)"><use transform="scale(0.707)" xlink:href="#MJMAIN-45"></use><use transform="scale(0.707)" x="686" y="0" xlink:href="#MJMAIN-57"></use><use transform="scale(0.574)" x="2117" y="467" xlink:href="#MJMAIN-32"></use></g></g></g><use x="6906" y="0" xlink:href="#MJMATHI-3C3"></use><use x="7483" y="-1" xlink:href="#MJSZ2-29"></use></g></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-104-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="55.667ex" height="2.5ex" viewBox="0 -773.9 23954.7 1047.9" role="math" aria-labelledby="MathJax-Element-104-Title MathJax-Element-104-Desc"><title id="MathJax-Element-104-Title">Equation</title><desc id="MathJax-Element-104-Desc">u Subscript n Baseline left-parenthesis x right-parenthesis equals gamma Subscript n Baseline left-parenthesis hyperbolic cosine k Subscript n Baseline x minus cosine k Subscript n Baseline x right-parenthesis plus left-parenthesis hyperbolic sine k Subscript n Baseline x minus sine k Subscript n Baseline x right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-75"></use><use transform="scale(0.707)" x="816" y="-213" xlink:href="#MJMATHI-6E"></use><g transform="translate(1271,0)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-78"></use><use x="971" y="0" xlink:href="#MJMAIN-29"></use></g><use x="2914" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3975,0)"><use xlink:href="#MJMATHI-3B3"></use><use transform="scale(0.707)" x="739" y="-213" xlink:href="#MJMATHI-6E"></use><g transform="translate(1217,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-63"></use><use x="449" y="0" xlink:href="#MJMAIN-6F"></use><use x="954" y="0" xlink:href="#MJMAIN-73"></use><use x="1353" y="0" xlink:href="#MJMAIN-68"></use><g transform="translate(2080,0)"><use xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="743" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="3134" y="0" xlink:href="#MJMATHI-78"></use><use x="3933" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(4938,0)"><use xlink:href="#MJMAIN-63"></use><use x="449" y="0" xlink:href="#MJMAIN-6F"></use><use x="954" y="0" xlink:href="#MJMAIN-73"></use><g transform="translate(1519,0)"><use xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="743" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="2573" y="0" xlink:href="#MJMATHI-78"></use></g></g><use x="8483" y="0" xlink:href="#MJMAIN-29"></use></g><use x="10317" y="0" xlink:href="#MJMAIN-2B"></use><g transform="translate(11322,0)"><use xlink:href="#MJMAIN-28"></use><g transform="translate(394,0)"><use xlink:href="#MJMAIN-73"></use><use x="399" y="0" xlink:href="#MJMAIN-69"></use><use x="682" y="0" xlink:href="#MJMAIN-6E"></use><use x="1243" y="0" xlink:href="#MJMAIN-68"></use><g transform="translate(1970,0)"><use xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="743" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="3024" y="0" xlink:href="#MJMATHI-78"></use><use x="3823" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(4828,0)"><use xlink:href="#MJMAIN-73"></use><use x="399" y="0" xlink:href="#MJMAIN-69"></use><use x="682" y="0" xlink:href="#MJMAIN-6E"></use><g transform="translate(1409,0)"><use xlink:href="#MJMATHI-6B"></use><use transform="scale(0.707)" x="743" y="-213" xlink:href="#MJMATHI-6E"></use></g><use x="2463" y="0" xlink:href="#MJMATHI-78"></use></g></g><use x="8263" y="0" xlink:href="#MJMAIN-29"></use></g></g></g></svg></span>
</li>
<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-105-Frame" role="textbox" aria-readonly="true"><span style="display: inline-block; white-space: nowrap; padding: 1px 0px;"><span style="display: inline-block; position: relative; vertical-align: -7.5ex; width: 35.5ex; height: 16.167ex;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="margin-left: 0ex; margin-right: 0ex; position: absolute; left: 0px;" width="35.5ex" height="16.167ex" viewBox="0 -3747.9 15263.3 6995.7" role="math" aria-labelledby="MathJax-Element-105-Title MathJax-Element-105-Desc"><title id="MathJax-Element-105-Title">Equation</title><desc id="MathJax-Element-105-Desc">multiline equation row 1 upper B equals StartStartFraction StartFraction upper F 0 Over m EndFraction OverOver StartRoot left-parenthesis left-parenthesis omega 0 squared minus omega squared right-parenthesis squared plus 4 n squared omega squared EndRoot EndEndFraction row 2 equals StartStartFraction StartFraction upper F 0 Over k EndFraction OverOver StartRoot left-parenthesis 1 postfix minus left-parenthesis omega full-stop omega 0 squared right-parenthesis squared right-parenthesis squared plus 4 left-parenthesis n full-stop omega 0 right-parenthesis squared left-parenthesis omega full-stop omega 0 right-parenthesis squared EndRoot EndEndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(167,0)"><g transform="translate(-11,0)"><use x="0" y="2023" xlink:href="#MJMATHI-42"></use></g><g transform="translate(1553,0)"><g transform="translate(0,2023)"><use xlink:href="#MJMAIN-3D"></use><g transform="translate(783,0)"><g transform="translate(397,0)"><rect stroke="none" width="6413" height="60" x="0" y="220"></rect><g transform="translate(2666,734)"><g transform="translate(120,0)"><rect stroke="none" width="839" height="60" x="0" y="146"></rect><g transform="translate(60,580)"><use transform="scale(0.574)" xlink:href="#MJMATHI-46"></use><use transform="scale(0.574)" x="648" y="-332" xlink:href="#MJMAIN-30"></use></g><use transform="scale(0.574)" x="289" y="-484" xlink:href="#MJMATHI-6D"></use></g></g><g transform="translate(60,-826)"><use transform="scale(0.707)" x="0" y="26" xlink:href="#MJSZ2-221A"></use><rect stroke="none" width="5582" height="42" x="710" y="796"></rect><g transform="translate(710,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-28"></use><g transform="translate(278,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.574)" x="772" y="434" xlink:href="#MJMAIN-32"></use><use transform="scale(0.574)" x="772" y="-474" xlink:href="#MJMAIN-30"></use></g><use transform="scale(0.707)" x="1530" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(1636,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.574)" x="772" y="355" xlink:href="#MJMAIN-32"></use></g><g transform="translate(2440,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="485" y="550" xlink:href="#MJMAIN-32"></use></g><use transform="scale(0.707)" x="4354" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.707)" x="5137" y="0" xlink:href="#MJMAIN-34"></use><g transform="translate(3990,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.574)" x="745" y="355" xlink:href="#MJMAIN-32"></use></g><g transform="translate(4778,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.574)" x="772" y="355" xlink:href="#MJMAIN-32"></use></g></g></g></g></g></g><g transform="translate(0,-1536)"><use xlink:href="#MJMAIN-3D"></use><g transform="translate(783,0)"><g transform="translate(397,0)"><rect stroke="none" width="12075" height="60" x="0" y="220"></rect><g transform="translate(5497,878)"><g transform="translate(120,0)"><rect stroke="none" width="839" height="60" x="0" y="146"></rect><g transform="translate(60,580)"><use transform="scale(0.574)" xlink:href="#MJMATHI-46"></use><use transform="scale(0.574)" x="648" y="-332" xlink:href="#MJMAIN-30"></use></g><use transform="scale(0.574)" x="468" y="-735" xlink:href="#MJMATHI-6B"></use></g></g><g transform="translate(60,-1092)"><use transform="scale(0.707)" x="0" y="101" xlink:href="#MJSZ3-221A"></use><rect stroke="none" width="11244" height="42" x="710" y="1061"></rect><g transform="translate(710,0)"><use transform="scale(0.707)" xlink:href="#MJSZ2-28"></use><use transform="scale(0.707)" x="602" y="0" xlink:href="#MJMAIN-31"></use><use transform="scale(0.707)" x="1107" y="0" xlink:href="#MJMAIN-2212"></use><use transform="scale(0.707)" x="1890" y="0" xlink:href="#MJMAIN-28"></use><use transform="scale(0.707)" x="2284" y="0" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.707)" x="2911" y="127" xlink:href="#MJSZ2-2F"></use><g transform="translate(2635,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.574)" x="772" y="434" xlink:href="#MJMAIN-32"></use><use transform="scale(0.574)" x="772" y="-474" xlink:href="#MJMAIN-30"></use></g><g transform="translate(3439,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="485" y="550" xlink:href="#MJMAIN-32"></use></g><g transform="translate(4078,0)"><use transform="scale(0.707)" xlink:href="#MJSZ2-29"></use><use transform="scale(0.574)" x="741" y="1042" xlink:href="#MJMAIN-32"></use></g><use transform="scale(0.707)" x="6879" y="0" xlink:href="#MJMAIN-2B"></use><use transform="scale(0.707)" x="7662" y="0" xlink:href="#MJMAIN-34"></use><use transform="scale(0.707)" x="8167" y="0" xlink:href="#MJMAIN-28"></use><use transform="scale(0.707)" x="8561" y="0" xlink:href="#MJMATHI-6E"></use><use transform="scale(0.707)" x="9166" y="127" xlink:href="#MJSZ2-2F"></use><g transform="translate(7059,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.574)" x="772" y="-252" xlink:href="#MJMAIN-30"></use></g><g transform="translate(7862,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="485" y="550" xlink:href="#MJMAIN-32"></use></g><use transform="scale(0.707)" x="12023" y="0" xlink:href="#MJMAIN-28"></use><use transform="scale(0.707)" x="12417" y="0" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.707)" x="13044" y="127" xlink:href="#MJSZ2-2F"></use><g transform="translate(9801,0)"><use transform="scale(0.707)" xlink:href="#MJMATHI-3C9"></use><use transform="scale(0.574)" x="772" y="-252" xlink:href="#MJMAIN-30"></use></g><g transform="translate(10605,0)"><use transform="scale(0.707)" xlink:href="#MJMAIN-29"></use><use transform="scale(0.574)" x="485" y="550" xlink:href="#MJMAIN-32"></use></g></g></g></g></g></g></g></g></g></svg></span></span></span>
</li>
<h2>Source: Doing Data Science (O'Reilly)</h2>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-106-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -0.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="28.833ex" height="2.5ex" viewBox="0 -773.9 12421.9 1047.9" role="math" aria-labelledby="MathJax-Element-106-Title MathJax-Element-106-Desc"><title id="MathJax-Element-106-Title">Equation</title><desc id="MathJax-Element-106-Desc">p ⁡ left-parenthesis upper A and upper B right-parenthesis equals p ⁡ left-parenthesis upper A right-parenthesis p ⁡ left-parenthesis upper B vertical-bar upper A right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-70"></use><use x="561" y="0" xlink:href="#MJMAIN-28"></use><use x="955" y="0" xlink:href="#MJMATHI-41"></use><g transform="translate(2209,0)"><use xlink:href="#MJMAIN-61"></use><use x="505" y="0" xlink:href="#MJMAIN-6E"></use><use x="1066" y="0" xlink:href="#MJMAIN-64"></use></g><use x="4336" y="0" xlink:href="#MJMATHI-42"></use><use x="5100" y="0" xlink:href="#MJMAIN-29"></use><use x="5772" y="0" xlink:href="#MJMAIN-3D"></use><use x="6833" y="0" xlink:href="#MJMAIN-70"></use><use x="7394" y="0" xlink:href="#MJMAIN-28"></use><use x="7788" y="0" xlink:href="#MJMATHI-41"></use><use x="8543" y="0" xlink:href="#MJMAIN-29"></use><use x="9270" y="0" xlink:href="#MJMAIN-70"></use><use x="9831" y="0" xlink:href="#MJMAIN-28"></use><use x="10225" y="0" xlink:href="#MJMATHI-42"></use><use x="10989" y="-1" xlink:href="#MJMAIN-7C"></use><use x="11272" y="0" xlink:href="#MJMATHI-41"></use><use x="12027" y="0" xlink:href="#MJMAIN-29"></use></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-107-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.333ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="18.833ex" height="5.833ex" viewBox="0 -1520 8111.3 2493.5" role="math" aria-labelledby="MathJax-Element-107-Title MathJax-Element-107-Desc"><title id="MathJax-Element-107-Title">Equation</title><desc id="MathJax-Element-107-Desc">PMF left-parenthesis x right-parenthesis proportional-to left-parenthesis StartFraction 1 Over x EndFraction right-parenthesis Superscript alpha</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMAIN-50"></use><use x="686" y="0" xlink:href="#MJMAIN-4D"></use><use x="1608" y="0" xlink:href="#MJMAIN-46"></use><g transform="translate(2432,0)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-78"></use><use x="971" y="0" xlink:href="#MJMAIN-29"></use></g><use x="4075" y="0" xlink:href="#MJMAIN-221D"></use><g transform="translate(5136,0)"><use xlink:href="#MJSZ3-28"></use><g transform="translate(741,0)"><g transform="translate(120,0)"><rect stroke="none" width="697" height="60" x="0" y="220"></rect><use x="96" y="676" xlink:href="#MJMAIN-31"></use><use x="60" y="-686" xlink:href="#MJMATHI-78"></use></g></g><use x="1678" y="-1" xlink:href="#MJSZ3-29"></use><use transform="scale(0.707)" x="3420" y="1677" xlink:href="#MJMATHI-3B1"></use></g></g></svg></span></div>
</li>
<li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-108-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2.667ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="27.833ex" height="5.833ex" viewBox="0 -1366.4 12016.7 2479.8" role="math" aria-labelledby="MathJax-Element-108-Title MathJax-Element-108-Desc"><title id="MathJax-Element-108-Title">Equation</title><desc id="MathJax-Element-108-Desc">f ⁡ left-parenthesis x right-parenthesis equals StartFraction 1 Over StartRoot 2 pi EndRoot EndFraction exp left-parenthesis left-parenthesis minus x squared postfix full-stop 2 right-parenthesis</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-66"></use><g transform="translate(721,0)"><use xlink:href="#MJMAIN-28"></use><use x="394" y="0" xlink:href="#MJMATHI-78"></use><use x="971" y="0" xlink:href="#MJMAIN-29"></use></g><use x="2364" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(3147,0)"><g transform="translate(397,0)"><rect stroke="none" width="2041" height="60" x="0" y="220"></rect><use x="768" y="676" xlink:href="#MJMAIN-31"></use><g transform="translate(60,-924)"><use x="0" y="33" xlink:href="#MJMAIN-221A"></use><rect stroke="none" width="1083" height="60" x="838" y="783"></rect><g transform="translate(838,0)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMATHI-3C0"></use></g></g></g></g><g transform="translate(6039,0)"><use xlink:href="#MJMAIN-65"></use><use x="449" y="0" xlink:href="#MJMAIN-78"></use><use x="982" y="0" xlink:href="#MJMAIN-70"></use></g><g transform="translate(7915,0)"><use xlink:href="#MJSZ2-28"></use><use x="602" y="0" xlink:href="#MJMAIN-2212"></use><g transform="translate(1385,0)"><use xlink:href="#MJMATHI-78"></use><use transform="scale(0.707)" x="816" y="583" xlink:href="#MJMAIN-32"></use></g><g transform="translate(2696,0)"><use xlink:href="#MJMAIN-2F"></use><use x="505" y="0" xlink:href="#MJMAIN-32"></use><use x="1010" y="0" xlink:href="#MJMAIN-29"></use></g></g></g></svg></span></div>
</li><li>
<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-109-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -2ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="13.167ex" height="5.333ex" viewBox="0 -1452.3 5657.2 2274.6" role="math" aria-labelledby="MathJax-Element-109-Title MathJax-Element-109-Desc"><title id="MathJax-Element-109-Title">Equation</title><desc id="MathJax-Element-109-Desc">StartFraction d x Over d theta EndFraction equals StartFraction beta Over cosine squared theta EndFraction</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><g transform="translate(120,0)"><rect stroke="none" width="1225" height="60" x="0" y="220"></rect><g transform="translate(60,676)"><use xlink:href="#MJMATHI-64"></use><use x="528" y="0" xlink:href="#MJMATHI-78"></use></g><g transform="translate(111,-735)"><use xlink:href="#MJMATHI-64"></use><use x="528" y="0" xlink:href="#MJMATHI-3B8"></use></g></g><use x="1742" y="0" xlink:href="#MJMAIN-3D"></use><g transform="translate(2525,0)"><g transform="translate(397,0)"><rect stroke="none" width="2613" height="60" x="0" y="220"></rect><use x="1017" y="723" xlink:href="#MJMATHI-3B2"></use><g transform="translate(60,-787)"><g transform="translate(333,0)"><use xlink:href="#MJMAIN-63"></use><use x="449" y="0" xlink:href="#MJMAIN-6F"></use><use x="954" y="0" xlink:href="#MJMAIN-73"></use></g><use transform="scale(0.707)" x="1913" y="408" xlink:href="#MJMAIN-32"></use><use x="2019" y="0" xlink:href="#MJMATHI-3B8"></use></g></g></g></g></svg></span></div>
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<li>
<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-110-Frame" role="textbox" aria-readonly="true"><svg xmlns:xlink="http://www.w3.org/1999/xlink" style="vertical-align: -1ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px;" width="13ex" height="3ex" viewBox="0 -940.1 5614.4 1307.9" role="math" aria-labelledby="MathJax-Element-110-Title MathJax-Element-110-Desc"><title id="MathJax-Element-110-Title">Equation</title><desc id="MathJax-Element-110-Desc">s full-stop StartRoot 2 left-parenthesis n minus 1 right-parenthesis EndRoot</desc><g stroke="black" fill="black" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true"><use xlink:href="#MJMATHI-73"></use><use x="474" y="0" xlink:href="#MJMAIN-2F"></use><g transform="translate(979,0)"><use x="0" y="6" xlink:href="#MJSZ1-221A"></use><rect stroke="none" width="3630" height="60" x="1005" y="806"></rect><g transform="translate(1005,0)"><use xlink:href="#MJMAIN-32"></use><use x="505" y="0" xlink:href="#MJMAIN-28"></use><use x="899" y="0" xlink:href="#MJMATHI-6E"></use><use x="1726" y="0" xlink:href="#MJMAIN-2212"></use><use x="2731" y="0" xlink:href="#MJMAIN-31"></use><use x="3236" y="0" xlink:href="#MJMAIN-29"></use></g></g></g></svg></span>
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</ol>
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