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.nojekyll

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index.html

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<div class="list grid quarto-listing-cols-3">
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<div class="g-col-1" data-index="0" data-categories="TWF0aGVtYXRpY3MlMkNQcm9iYWJpbGl0eSUyQ1N0YXRpc3RpY3M=" data-listing-date-sort="1755907200000" data-listing-file-modified-sort="1757057935651" data-listing-date-modified-sort="NaN" data-listing-reading-time-sort="23" data-listing-word-count-sort="4508">
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<a href="./posts/clt-intuitive-derivation/index.html" class="quarto-grid-link">
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<div class="quarto-grid-item card h-100 card-left">
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<p class="card-img-top"><img src="posts/clt-intuitive-derivation/images/normal_distribution.png" alt="A diagram of the Normal Distribution bell curve. The central peak is at the mean mu. The curve shows that 68% of data falls within 1 standard deviation, 95% within 2, and 99.7% within 3." style="height: 150px;" class="thumbnail-image card-img"/></p>

posts.html

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<a href="./posts/clt-intuitive-derivation/index.html" class="quarto-grid-link">
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<p class="card-img-top"><img src="posts/clt-intuitive-derivation/images/normal_distribution.png" alt="A diagram of the Normal Distribution bell curve. The central peak is at the mean mu. The curve shows that 68% of data falls within 1 standard deviation, 95% within 2, and 99.7% within 3." style="height: 150px;" class="thumbnail-image card-img"/></p>

posts/clt-intuitive-derivation/index.html

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<p>Let’s use the simplest and most convenient loop: the unit circle, parametrized by <span class="math inline">\(z = e^{i\theta}\)</span> for <span class="math inline">\(\theta \in [-\pi, \pi]\)</span>. Let’s see what happens to our formula.</p>
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<p><img src="images/unit-circle-contour.png" class="img-fluid figure-img" alt="The unit circle in the x-y plane, centered at the origin. A point z on the circle is shown with an angle theta from the positive x-axis."></p>
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<p><img src="images/unit-circle-contour.png" class="img-fluid figure-img" alt="The unit circle in the x-y plane, centered at the origin. A point z on the circle is shown with an angle theta from the positive x-axis." width="400"></p>
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<figcaption>A diagram of the unit circle in the complex plane, showing <span class="math inline">\(z = e^{i\theta}\)</span>.</figcaption>
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