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#factors

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Hacker News<p>Decomposing a Factorial into Large Factors</p><p><a href="https://terrytao.wordpress.com/2025/03/26/decomposing-a-factorial-into-large-factors/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">terrytao.wordpress.com/2025/03</span><span class="invisible">/26/decomposing-a-factorial-into-large-factors/</span></a></p><p><a href="https://mastodon.social/tags/HackerNews" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HackerNews</span></a> <a href="https://mastodon.social/tags/Decomposing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Decomposing</span></a> <a href="https://mastodon.social/tags/a" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>a</span></a> <a href="https://mastodon.social/tags/Factorial" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Factorial</span></a> <a href="https://mastodon.social/tags/into" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>into</span></a> <a href="https://mastodon.social/tags/Large" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Large</span></a> <a href="https://mastodon.social/tags/Factors" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Factors</span></a> <a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://mastodon.social/tags/factorials" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>factorials</span></a> <a href="https://mastodon.social/tags/algorithms" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>algorithms</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/TerryTao" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TerryTao</span></a></p>
💧🌏 Greg Cocks<p>A Site Selection Framework For Urban Power Substation At Micro-Scale Using Spatial Optimization Strategy And Geospatial Big Data<br>--<br><a href="https://doi.org/10.1111/tgis.13093" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">doi.org/10.1111/tgis.13093</span><span class="invisible"></span></a> &lt;-- shared paper<br>--<br>“In this study, [they] model spatiotemporal heterogeneity and incorporate it into optimizing the location of substations. The optimized substation placement ensures electrical service coverage for over 99% of the area during peak power usage seasons, compared to the current coverage of 72%...”<br><a href="https://techhub.social/tags/GIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GIS</span></a> <a href="https://techhub.social/tags/spatial" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>spatial</span></a> <a href="https://techhub.social/tags/mapping" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mapping</span></a> <a href="https://techhub.social/tags/spatialanalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>spatialanalysis</span></a> <a href="https://techhub.social/tags/spatiotemporal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>spatiotemporal</span></a> <a href="https://techhub.social/tags/siting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>siting</span></a> <a href="https://techhub.social/tags/demand" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>demand</span></a> <a href="https://techhub.social/tags/electricity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>electricity</span></a> <a href="https://techhub.social/tags/heterogeneity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>heterogeneity</span></a> <a href="https://techhub.social/tags/substations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>substations</span></a> <a href="https://techhub.social/tags/powertransmission" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>powertransmission</span></a> <a href="https://techhub.social/tags/electricalpower" class="mention hashtag" rel="nofollow noopener noreferrer" 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Rémi Eismann<p>One day, one decomposition<br>A195086: Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 2</p><p>3D graph, threejs - webGL ➡️ <a href="https://decompwlj.com/3Dgraph/A195086.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">decompwlj.com/3Dgraph/A195086.</span><span class="invisible">html</span></a><br>2D graph, first 500 terms ➡️ <a href="https://decompwlj.com/2Dgraph500terms/A195086.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">decompwlj.com/2Dgraph500terms/</span><span class="invisible">A195086.html</span></a></p><p><a href="https://mathstodon.xyz/tags/decompwlj" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>decompwlj</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/sequence" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>sequence</span></a> <a href="https://mathstodon.xyz/tags/OEIS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>OEIS</span></a> <a href="https://mathstodon.xyz/tags/javascript" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>javascript</span></a> <a href="https://mathstodon.xyz/tags/php" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>php</span></a> <a href="https://mathstodon.xyz/tags/3D" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>3D</span></a> <a href="https://mathstodon.xyz/tags/numbers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>numbers</span></a> <a href="https://mathstodon.xyz/tags/prime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>prime</span></a> <a href="https://mathstodon.xyz/tags/factors" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>factors</span></a> <a href="https://mathstodon.xyz/tags/graph" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>graph</span></a> <a href="https://mathstodon.xyz/tags/threejs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>threejs</span></a> <a href="https://mathstodon.xyz/tags/webGL" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>webGL</span></a></p>
jwls<p>So, I learned something this past weekend about sequential exponential numbers, and how they can be verified through addition and subtraction no matter how high the exponents go.</p><p>Is this a known thing?</p><p>For example:</p><p>Every sequential ^2 has a once nested difference that increases by 2 and it's every odd number.</p><p>Every sequential ^3 has a twice nested difference of 6, which the first set of differences create a number which must then be subtracted from the next difference to see this pattern.</p><p>Every sequential ^4 has a thrice nested difference of 24, which the first set of differences create a number which must then be subtracted from the next set, followed by the third set to see this pattern.</p><p>Every sequential ^5 has a quaternary nested difference of 120, which means requires subtracting the sets four times to see the pattern.</p><p>So this validates ^6 at the fifth set of differences will provide a pattern of 720, ^7 at the sixth set will provide a pattern of 5040 and so on.</p><p>What is this called? Is there a simplified equation that shows this? Any and all help is much appreciated. Thanks!</p><p><a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/sums" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>sums</span></a> <a href="https://mathstodon.xyz/tags/difference" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>difference</span></a> <a href="https://mathstodon.xyz/tags/factors" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>factors</span></a> <a href="https://mathstodon.xyz/tags/equations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>equations</span></a> <a href="https://mathstodon.xyz/tags/patterns" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>patterns</span></a> <a href="https://mathstodon.xyz/tags/validation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>validation</span></a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://mathstodon.xyz/tags/solve" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>solve</span></a> <a href="https://mathstodon.xyz/tags/question" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>question</span></a> <a href="https://mathstodon.xyz/tags/puzzle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>puzzle</span></a> <a href="https://mathstodon.xyz/tags/howdoifindthename" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>howdoifindthename</span></a></p>
FunctionalProgrammingHow to Find Factors of a Number in Python? In this tutorial, I will explain how to find factors o...<br><br><a href="https://pythonguides.com/factors-of-a-number-in-python/" rel="nofollow noopener noreferrer" target="_blank">https://pythonguides.com/factors-of-a-number-in-python/</a><br><br><a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Python" target="_blank">#Python</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Programming" target="_blank">#Programming</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Tutorials" target="_blank">#Tutorials</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Python" target="_blank">#Python</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Tutorials" target="_blank">#Tutorials</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Factors" target="_blank">#Factors</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/of" target="_blank">#of</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/a" target="_blank">#a</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Number" target="_blank">#Number</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/in" target="_blank">#in</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Python" target="_blank">#Python</a><br><br><a href="https://awakari.com/pub-msg.html?id=27GWd1qpxXkjVB1xo3SxdH1X1Bg" rel="nofollow noopener noreferrer" target="_blank">Event Attributes</a>
FunctionalProgrammingHow to Find Factors of a Number in Python? In this tutorial, I will explain how to find factors o...<br><br><a href="https://pythonguides.com/factors-of-a-number-in-python/" rel="nofollow noopener noreferrer" target="_blank">https://pythonguides.com/factors-of-a-number-in-python/</a><br><br><a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Python" target="_blank">#Python</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Programming" target="_blank">#Programming</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Tutorials" target="_blank">#Tutorials</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Python" target="_blank">#Python</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Tutorials" target="_blank">#Tutorials</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Factors" target="_blank">#Factors</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/of" target="_blank">#of</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/a" target="_blank">#a</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Number" target="_blank">#Number</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/in" target="_blank">#in</a> <a rel="nofollow noopener noreferrer" class="mention hashtag" href="https://mastodon.social/tags/Python" target="_blank">#Python</a><br><br><a href="https://awakari.com/pub-msg.html?id=T4drrRRTFviFlpVlmG6iaNRwbIG" rel="nofollow noopener noreferrer" target="_blank">Event Attributes</a>
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