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96 lines
3.6 KiB
HTML
96 lines
3.6 KiB
HTML
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<title>Fourier Series Grapher</title>
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<h1 class="center">Fourier Series Grapher</h1>
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<p>Sine and cosine waves can make other functions! Here you can add up functions and see the resulting graph.</p>
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<script src="images/fourier.js"></script>
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<script>fourierMain();</script>
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<p> </p>
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<h3><span class="center">What is happening here?</span></h3>
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<p><span class="center">We are seeing the effect of adding sine or cosine functions. Here we see that adding two different sine waves make a new wave:</span></p>
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<p class="center"><img src="../physics/images/wave-superposition.svg" alt="wave superposition" height="307" width="333"></p>
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<p>When we add lots of them (using the <a href="../algebra/sigma-notation.html">sigma function <span style="font-size:150%; font-family: 'Times New Roman', Times, serif; ">Σ</span></a> as a handy notation) we can get things like:</p>
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<p class="center"><img src="images/fourier-square-sine1-39.svg" alt="sin(x)+sin(3x)/3+sin(5x)/5" height="146" width="530"><br>
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20 sine waves: <b>sin(x)+sin(3x)/3+sin(5x)/5 + ... + sin(39x)/39</b>:</p>
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<a href="fourier-series.html">Fourier Series</a>
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<a href="index.html">Calculus Index</a>
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