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| 224 | +<meta property="og:description" content="Understanding concepts one at a time"> |
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@@ -310,7 +318,12 @@ <h5 class="quarto-listing-category-title">Categories</h5><div class="quarto-list |
310 | 318 | <p>Hi there! I’m <strong>Kaivalya Dabhadkar</strong>, and this is my digital playground where I share my adventures through the fascinating worlds of mathematics and artificial intelligence.</p> |
311 | 319 | <section id="my-philosophy-intuition-first" class="level3"> |
312 | 320 | <h3 class="anchored" data-anchor-id="my-philosophy-intuition-first">My Philosophy: Intuition First! 🧠✨</h3> |
313 | | -<p>I’ve discovered something magical in my learning journey: <strong>intuition comes before rigor</strong>. Too often, academic texts dive straight into formal proofs and definitions, leaving us wondering: - <em>“Wait, why did someone think to do it this way?”</em> 🤔 - <em>“If I were discovering this for the first time, how would I have approached it?”</em> 💭 - <em>“What’s the story behind this seemingly arbitrary choice?”</em> 📖</p> |
| 321 | +<p>I’ve discovered something magical in my learning journey: <strong>intuition comes before rigor</strong>. Too often, academic texts dive straight into formal proofs and definitions, leaving us wondering:</p> |
| 322 | +<ul> |
| 323 | +<li><em>“Wait, why did someone think to do it this way?”</em> 🤔</li> |
| 324 | +<li><em>“If I were discovering this for the first time, how would I have approached it?”</em> 💭</li> |
| 325 | +<li><em>“What’s the story behind this seemingly arbitrary choice?”</em> 📖</li> |
| 326 | +</ul> |
314 | 327 | <p>That’s exactly what I aim to fix here! I believe the best way to truly understand any concept is to:</p> |
315 | 328 | <ol type="1"> |
316 | 329 | <li><strong>Feel it first</strong> - Get an intuitive sense of what’s happening</li> |
@@ -375,10 +388,10 @@ <h2 class="anchored" data-anchor-id="recent-posts">Recent Posts</h2> |
375 | 388 | </div> |
376 | 389 | </div> |
377 | 390 | <div class="list grid quarto-listing-cols-3"> |
378 | | -<div class="g-col-1" data-index="0" data-categories="TWF0aGVtYXRpY3MlMkNQcm9iYWJpbGl0eSUyQ1N0YXRpc3RpY3M=" data-listing-date-sort="1755907200000" data-listing-file-modified-sort="1757058178054" data-listing-date-modified-sort="NaN" data-listing-reading-time-sort="23" data-listing-word-count-sort="4509"> |
| 391 | +<div class="g-col-1" data-index="0" data-categories="TWF0aGVtYXRpY3MlMkNQcm9iYWJpbGl0eSUyQ1N0YXRpc3RpY3M=" data-listing-date-sort="1755907200000" data-listing-file-modified-sort="1757085432964" data-listing-date-modified-sort="NaN" data-listing-reading-time-sort="23" data-listing-word-count-sort="4490"> |
379 | 392 | <a href="./posts/clt-intuitive-derivation/index.html" class="quarto-grid-link"> |
380 | 393 | <div class="quarto-grid-item card h-100 card-left"> |
381 | | -<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> |
| 394 | +<p class="card-img-top"><img src="posts/clt-intuitive-derivation/images/normal_distribution.png" alt="Normal Distribution bell curve diagram showing the 68-95-99.7 rule with standard deviations from the mean" style="height: 150px;" class="thumbnail-image card-img"/></p> |
382 | 395 | <div class="card-body post-contents"> |
383 | 396 | <h5 class="no-anchor card-title listing-title"> |
384 | 397 | The Bell Curve rising: An Intuitive CLT Derivation |
@@ -406,7 +419,7 @@ <h5 class="no-anchor card-title listing-title"> |
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