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#ellipticcurves

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Hari Tulsidas<p>Using AI, researchers have uncovered elliptic curve “murmurations”—patterns that reveal unexpected connections in number theory. These curves, crucial for cryptography and pure math, now show dynamic relationships akin to flocking birds. Could AI-driven insights transform how we approach centuries-old mathematical problems? <a href="https://masto.ai/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://masto.ai/tags/AI" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AI</span></a> <a href="https://masto.ai/tags/EllipticCurves" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>EllipticCurves</span></a><br><a href="https://www.quantamagazine.org/elliptic-curve-murmurations-found-with-ai-take-flight-20240305/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/elliptic-cu</span><span class="invisible">rve-murmurations-found-with-ai-take-flight-20240305/</span></a></p>
Frederic Jacobs<p>When Thomas Oliver and Kyu-Hwan Lee used machine learning techniques to predict the ranks of elliptic curves with high accuracy, they noticed hidden oscillations reminiscent of bird murmurations. That pattern was not noticed by mathematicians before, and an explicit formula for those was found by Nina Zubrilina.</p><p><a href="https://www.quantamagazine.org/elliptic-curve-murmurations-found-with-ai-take-flight-20240305/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/elliptic-cu</span><span class="invisible">rve-murmurations-found-with-ai-take-flight-20240305/</span></a><br><a href="https://mastodon.social/tags/EllipticCurves" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>EllipticCurves</span></a> <a href="https://mastodon.social/tags/NumberTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>NumberTheory</span></a> <a href="https://mastodon.social/tags/Cryptography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Cryptography</span></a> <a href="https://mastodon.social/tags/ECC" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ECC</span></a></p>
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