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Paper rendering works, and news fields get populated correctly now.
2015-12-04 02:31:39 -05:00
<!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>
<body lang="EN-US"><svg style="display: none;"><defs id="MathJax_SVG_glyphs"><path stroke-width="10" id="MJMAIN-2212" d="M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z"></path><path stroke-width="10" id="MJMAIN-35" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path><path stroke-width="10" id="MJMAIN-31" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="10" id="MJMAIN-36" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path><path stroke-width="10" id="MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path stroke-width="10" id="MJMAIN-33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path stroke-width="10" id="MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path><path stroke-width="10" id="MJMAIN-37" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path><path stroke-width="10" id="MJMAIN-34" d="M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z"></path><path stroke-width="10" id="MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path><path stroke-width="10" id="MJMAIN-38" d="M70 417T70 494T124 618T248
<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
</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>
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<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>
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<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>
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<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>
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<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 t
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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-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
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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-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="#MJ
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<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="1
</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><us
</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
</li>
<h2>Source: Fractal Geometry</h2>
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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-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>
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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-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>
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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-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>
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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-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>
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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-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
</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>
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<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>
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<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>
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<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>
</li><li>
<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>
</li>
<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
</li><li>
<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>
</li>
<li>
<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"
</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>
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<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
</li>
<h2>Source: Doing Data Science (O'Reilly)</h2>
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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-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>
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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-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>
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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-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>
</li>
<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>
</li>
</ol>
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