24 lines
2.7 KiB
HTML
24 lines
2.7 KiB
HTML
<!DOCTYPE html>
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<html><head>
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<meta charset="utf-8">
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<title>JS Bin</title>
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<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%}
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.MathJax_SVG .MJX-monospace {font-family: monospace}
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.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
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.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}
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.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
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.mjx-svg-href {fill: blue; stroke: blue}
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</style></head>
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<body>
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base <img src="true0001.svg" style="vertical-align: -0.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 4.667ex; height: 1.667ex;" class="MathJax_SVG_IMG"> line
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The [[eigenvalue]]s of the matrix '''''A''''' are <img src="true0002.svg" style="vertical-align: -1ex; margin-left: 0ex; margin-right: -0.333ex; margin: 1px 0px; width: 9.833ex; height: 2.833ex;" class="MathJax_SVG_IMG"> and <img src="true0003.svg" style="vertical-align: -1ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 11.667ex; height: 2.833ex;" class="MathJax_SVG_IMG">, for the respective
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[[eigenvector]]s <img src="true0004.svg" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 2.833ex; height: 3ex;" class="MathJax_SVG_IMG"> and <img src="true0005.svg" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 4.5ex; height: 3ex;" class="MathJax_SVG_IMG"> .
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Since <img src="true0006.svg" style="vertical-align: -1.167ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 15.333ex; height: 3ex;" class="MathJax_SVG_IMG">, and <img src="true0007.svg" style="vertical-align: -0.5ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 12.833ex; height: 2.833ex;" class="MathJax_SVG_IMG">
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the above closed-form expression for the {{mvar|n}}th element in the Fibonacci series as an [[analytic function]] of {{mvar|n}} is now read off directly,
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:<div class="MathJax_SVG_Display" role="textbox" aria-readonly="true" style="text-align: center;"><img src="true0008.svg" style="vertical-align: -3ex; margin-left: 0ex; margin-right: 0ex; margin: 1px 0px; width: 47ex; height: 7.167ex;" class="MathJax_SVG_IMG"></div>
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</body></html> |