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#permutation

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Trebetheric<p>Amikoj who like maths: I'm trying to find the name of a math operation. Please help if interested!</p><p>It's similar to "choose"<br> 4 choose 2 = 6<br>because there are six ways to choose 2 things from four. Similarly, <br> 5 choose 2 = 10 <br>There are ten ways. </p><p>But what if the five things are in a circle and we don't (re)count as new instances the ones that look the same when rotated? <br>5 ___ 2 = 2 (I'm pretty sure) <br>The 2 items can be either 1 and 4 apart or 2 and 3 apart.<br>I'm looking for the underlined operation. </p><p>5 ___ 3 = 2 <br>If the items are ABCDE, where E is connected to A, the two configurations are 1. ABC (three together), 2. ABD (two, skip one, one). In the case of 5 items ACD is equivalent to 2 because CDA is two, skip one, one.For my purposes they must be equivalent by rotation only, not by flipping.</p><p>6 ___ 3 = 4<br>ABCDEF has ABC, ABD, ABE, and ACE. All others should be equivalent if I counted correctly. </p><p>What is this operation called? 🙏</p><p><a href="https://mastodonapp.uk/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></a> <a href="https://mastodonapp.uk/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mastodonapp.uk/tags/discretemath" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>discretemath</span></a> <a href="https://mastodonapp.uk/tags/permutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>permutation</span></a></p>
Dr Mircea Zloteanu 🌼🐝<p><a href="https://mastodon.social/tags/statstab" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>statstab</span></a> #319 Small Sample Size Solutions [book]</p><p>Thoughts: This should just be the default text for psychologists, as most research fits the "small sample" label.</p><p><a href="https://mastodon.social/tags/smallsample" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>smallsample</span></a> <a href="https://mastodon.social/tags/book" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>book</span></a> <a href="https://mastodon.social/tags/guide" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>guide</span></a> <a href="https://mastodon.social/tags/bayesian" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>bayesian</span></a> <a href="https://mastodon.social/tags/permutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>permutation</span></a> <a href="https://mastodon.social/tags/sem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>sem</span></a> <a href="https://mastodon.social/tags/metaanalysis" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>metaanalysis</span></a> <a href="https://mastodon.social/tags/nof1" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>nof1</span></a> <a href="https://mastodon.social/tags/missingdata" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>missingdata</span></a></p><p><a href="https://doi.org/10.4324/9780429273872" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">doi.org/10.4324/9780429273872</span><span class="invisible"></span></a></p>
Dr Mircea Zloteanu 🌼🐝<p><a href="https://mastodon.social/tags/statstab" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>statstab</span></a> #318 Simple permutation tests in R<br>by <a href="https://mastodon.social/tags/MacTheobio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MacTheobio</span></a></p><p>Thoughts: A very good small sample problem solution is using permutation tests. But, there are various ways to conduct these.</p><p><a href="https://mastodon.social/tags/permutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>permutation</span></a> <a href="https://mastodon.social/tags/randomization" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>randomization</span></a> <a href="https://mastodon.social/tags/montecarlo" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>montecarlo</span></a> <a href="https://mastodon.social/tags/R" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>R</span></a> <a href="https://mastodon.social/tags/smallsample" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>smallsample</span></a></p><p><a href="https://mac-theobio.github.io/QMEE/lectures/permutation_examples.notes.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mac-theobio.github.io/QMEE/lec</span><span class="invisible">tures/permutation_examples.notes.html</span></a></p>
Dr Mircea Zloteanu 🌼🐝<p><a href="https://mastodon.social/tags/statstab" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>statstab</span></a> #303 When Your Permutation Test is Doomed to Fail</p><p>Thoughts: Permutation tests are great, except for when they're not. Skewed data + unbalanced samples.</p><p><a href="https://mastodon.social/tags/stats" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>stats</span></a> <a href="https://mastodon.social/tags/permutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>permutation</span></a> <a href="https://mastodon.social/tags/ABtesting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ABtesting</span></a> <a href="https://mastodon.social/tags/ttest" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ttest</span></a> <a href="https://mastodon.social/tags/power" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>power</span></a> <a href="https://mastodon.social/tags/skewed" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>skewed</span></a></p><p><a href="https://doi.org/10.1080/00031305.2021.1902856" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">doi.org/10.1080/00031305.2021.</span><span class="invisible">1902856</span></a></p>
Markus Werle<p>Random thought: a **<a href="https://nrw.social/tags/monorepo" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>monorepo</span></a>** appears as a solution against the **<a href="https://nrw.social/tags/permutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>permutation</span></a>** hell, but it doesn't make the complexity of the **<a href="https://nrw.social/tags/dependency" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>dependency</span></a>** tree disappear. It hides it, doesn't force you to deal with it now, and carefully think about your codebase's structure. This is why, over time, a mono-repo becomes such a mingle-mangle mess.</p><p>Do you agree?</p><p>**<a href="https://nrw.social/tags/DevOps" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>DevOps</span></a>** **<a href="https://nrw.social/tags/SCM" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SCM</span></a>**</p>
Spektrum (inoffiziell)Durch Anime zur Mathematik: Wer beim Binge-Watching nicht allzu viel Zeit verschwenden möchte, sollte sich mit der Theorie der Superpermutationen beschäftigen.<a href="https://anonsys.net/search?tag=Freistetter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Freistetter</span></a> <a href="https://anonsys.net/search?tag=FreistettersFormelwelt" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FreistettersFormelwelt</span></a> <a href="https://anonsys.net/search?tag=Mathematik" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematik</span></a> <a href="https://anonsys.net/search?tag=Kombinatorik" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Kombinatorik</span></a> <a href="https://anonsys.net/search?tag=Superpermutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Superpermutation</span></a> <a href="https://anonsys.net/search?tag=Permutation" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Permutation</span></a><br><a href="https://www.spektrum.de/kolumne/wegen-superpermutationen-4-millionen-jahre-vor-dem-fernseher/2213022" rel="nofollow noopener noreferrer" target="_blank">Vier Millionen Jahre vor dem Fernseher</a>
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