2026-04-04T15:32:19Z https://yabu.me Oscar Cunningham https://yabu.me/npub10mu87ru8hnpc7rfaequx5r7vtmrr94ujhqv9xsrjd4nxmmg5vufsqp2h9c https://media.mathstodon.xyz/accounts/avatars/108/883/431/982/211/762/original/ba139ab6efaf4f0c.png https://media.mathstodon.xyz/accounts/avatars/108/883/431/982/211/762/original/ba139ab6efaf4f0c.png https://yabu.me/nevent1qqsxwnwlncusf5xkz27vckv3qy79lrk7cyeqe9ff46yec7cjyt6n2mgzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xvn22ky In reply to <a href='/nevent1qqswrrhsclmrylvjhg623nadme6vndy4xzvc7ag8av7jpwu2me827lsqmnh6m'>nevent1q…nh6m</a><br/>_________________________<br/><br/>I think people in first-world countries should be giving much more money to those who most need it.<br/>But these articles (the ones Oxfam churns out about wealth inequality) are very misleading. Wealth is a slippery concept.<br/>One thing is the way that debt affects the measurement. The very poorest people in the world often have a high quality of life (fucking Alex Jones). You personally have more money than the poorest 30% or the world. If we took your money we could double their wealth (Alex Jones certainly deserves it).<br/>But I think the more fundamental problem is the way that future income is valued. Wealth in the form of stocks is counted based on the market value, which comes from the expected payout those stocks will give in the future. But future income from labour isn&#39;t included as &#39;wealth&#39;. This makes the poor seem comparitively poorer than they really are.<br/>A friend of mine switched from being an employee to a self-employed contractor doing the same job. He pays himself minimum wage from his own company and takes the rest as dividends. Did he really become wealthy overnight through a mere administrative change?<br/>A fairer way to judge wealth is to convert everything to income. Imagine we took all of the wealth of the world&#39;s billionaires and combined it into one fund, with the interest split evenly between everyone on Earth. Each person would get about $150 per year. That would be a big help for the world&#39;s poorest (poorest in terms of consumption). But it&#39;s a much more moderate change than you might imagine from Oxfam&#39;s headlines. 2026-04-04T15:32:11Z https://yabu.me/nevent1qqs8ke4ww9fvhc40hvre9mgc86mwhagflj625djqmlu23hqra0lzeeqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xnxhsx4 In reply to <a href='/nevent1qqsp994xxdaxh7me82mpa3gyvzcpu0adsa5z7ruly29hswj0er79pps8vt25q'>nevent1q…t25q</a><br/>_________________________<br/><br/>if you wanted more accuracy could you use a multiple exposure to get a linear combination of filters? 2026-03-12T08:43:29Z https://yabu.me/nevent1qqsflpz764uch54w5gfdrt7znmnwmnwk3mj98al0l0zd7cktwd69ajgzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x9uxxdn It looks like the ⍼ saga has finally ended!<br/><br/>The unicode character &#39;⍼&#39; was a mystery first noticed in 2022: <a href="https://ionathan.ch/2022/04/09/angzarr.html">https://ionathan.ch/2022/04/09/angzarr.html</a>. It&#39;s in the Unicode standard as a mathematical symbol. But no one could find any examples of it having been used, and no one knew what it represented. It was like the only record of an extinct species, fossilized in the Unicode standard.<br/><br/>But now someone has found the document it originally came from! It represents the angle &#39;Azimuth&#39;, and the symbol probably comes from the path light takes through a sextant. <a href="https://ionathan.ch/2026/02/16/angzarr.html">https://ionathan.ch/2026/02/16/angzarr.html</a><br/><br/>(<span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1nf4p4rh06z6n6lsvje4txk7eqs23y3hs8vd7nraq6tgwady5qvsqy3nqe4" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>John Carlos Baez</span> (<span class="italic">npub1nf4…nqe4</span>)</a></span> might appreciate this symbol!) 2026-03-11T08:38:55Z https://yabu.me/nevent1qqsvs8p3lpa4uvj04y3wkdujtf7r3acaauxm7cvmf6rkgxkvqg5w0xqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xrv74ws In reply to <a href='/nevent1qqsp9sersmdxkcgk3j6zdwjrr8ncu89t3rzxanjwz6cnmqmfgmrmkyqwqvv6e'>nevent1q…vv6e</a><br/>_________________________<br/><br/>I&#39;ve heard<br/>a/b ≤ c/d → a/b ≤ (a+c)/(b+d) ≤ c/d<br/>referred to as the &#39;Batting Average Lemma&#39;, which I&#39;m sure makes sense if you&#39;re American. Like if you succeed in a out of b attempts and then your performance improves to c out of d, then your overall performance has to be between the two. 2026-02-28T07:52:25Z https://yabu.me/nevent1qqsvlh7j87mvvz905mm0rzt58qjpad8ecuvylektphyxmf5t7dvrnfszypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x3dukz3 In reply to <a href='/nevent1qqs0ze5p5gn8qx3xnw7psw6emuujyz39xkkdtmk0h9230ly3jrqjl5sgn9tg9'>nevent1q…9tg9</a><br/>_________________________<br/><br/>Sometimes I like to wonder about how much of the standard model we&#39;d have been able to figure out if humanity were only allowed to do chemistry experiments. This is an analogy to trying to go beyond the standard model without doing further high-energy experiments. 2025-12-07T10:02:34Z https://yabu.me/nevent1qqsdnzweteduulu5y48aentc6u3myur9xepaly8xe4hlyg2wk4yy7vgzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xyt9nju In reply to <a href='/nevent1qqsyrw4vhl34kc0h9nadzwgrpwx6nplyantshuu5tf0x9zednzzxj6cel6jv9'>nevent1q…6jv9</a><br/>_________________________<br/><br/>the thing is that they pack them in cubic boxes, so you&#39;re mostly paying for the cardboard 2025-11-27T10:03:49Z https://yabu.me/nevent1qqswmt2c4p9g9l2xtepvqwdtujc55cs60wv6cd50c9kps4dmn5gr8tszypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xlgkh64 In reply to <a href='/nevent1qqstmju807hg5yamqcxjxzc3gyw2eq297puqvjzh8kt2lr8xys7hxyczhscrh'>nevent1q…scrh</a><br/>_________________________<br/><br/>For the usual sphere S² is the &#39;reflection about p&#39; actually a rotation of π about the axis through p? If it was an actual reflection then it would fix some vectors in the tangent space rather than negating them. 2025-11-13T10:36:22Z https://yabu.me/nevent1qqsxqpz04zgmf2zacexzt8sy5p7nu82207xxd0lp3s79yugz4lgjd8qzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xnd2mkt In reply to <a href='/nevent1qqs8uls9e6zma5rtejx6ypydfma4yxay0t0yqzu5alptlm3kgf4hueg8wpgdp'>nevent1q…pgdp</a><br/>_________________________<br/><br/>There are some good notes about random permutations by <span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1nf4p4rh06z6n6lsvje4txk7eqs23y3hs8vd7nraq6tgwady5qvsqy3nqe4" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>John Carlos Baez</span> (<span class="italic">npub1nf4…nqe4</span>)</a></span> here: <a href="https://math.ucr.edu/home/baez/permutations/">https://math.ucr.edu/home/baez/permutations/</a>. Looks like he answers your first question, and probably provides some information that will be useful for your second question. 2025-11-12T06:16:46Z https://yabu.me/nevent1qqsgexug74jmqc90xcwgenfqxqrp0esl9v7gj6dl6gxe5l7cv5xxhlczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xl5pfgs In reply to <a href='/nevent1qqsrw9tm0kkvev57d3wuda9zaf5jrmj5p5v9x4zkk9e6r9txx432p6ghvew9n'>nevent1q…ew9n</a><br/>_________________________<br/><br/>Sometimes I notice my own posts often disappear from my timeline after a short amount of time. When I first post, the post appears in my own timeline. But if I go back to check later, it&#39;s not there. I think this is what you&#39;re observing and the boost is just an added layer of complication. 2025-11-09T07:14:06Z https://yabu.me/nevent1qqspq3tdfx8a2u59r67meh3axy2yh4zx4vwalzdhx0qzh9fxpugcu9czypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xzkcz7q In reply to <a href='/nevent1qqsfdzjed0s6thfk9re86lmw09yt97cm20s80w0yl3h3t4h8l03p4ccr0snd9'>nevent1q…snd9</a><br/>_________________________<br/><br/>I think the point is that it&#39;s a particular copy of U(1) within the gauge group of the standard model. If I remember correctly the weak force is also associated to a U(1) subgroup, but they&#39;re different copies. 2025-10-20T20:15:19Z https://yabu.me/nevent1qqsqsufqew9sszjtn0werrh0gacpqdjdy7heheuq3k4vlalt4rlwmeczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x0au9h7 In reply to <a href='/nevent1qqsfajcjxsc33wtlf2v45lvfdfsul05arjhz6k08nnxp26ygdgmzexg2msjyc'>nevent1q…sjyc</a><br/>_________________________<br/><br/>Something like this happened in real life to Igor Tamm: <a href="https://damtson.wordpress.com/2017/08/12/igor-tamm-and-the-taylor-expansion/">https://damtson.wordpress.com/2017/08/12/igor-tamm-and-the-taylor-expansion/</a><br/><br/>&gt; […] The two were soon detained by a Red Army detachment. Neither of them had any documents with them. To the people who arrested them, it appeared obvious that they were White scouts, deserved to be shot.<br/><br/>&gt; Luckily for Tamm, the commander of the detachment was a drop-out student. He grinned grimly while listening to Tamm’s explanation that he had graduated from the Physics and Mathematics Department of the Moscow University.<br/><br/>&gt; “So, you’re a mathematician? You’re lying, aren’t you? No problem, we will give you a test now. Here! Derive for me the formula for the expansion of a function in Taylor series. Including the remainder term! If you can do it, you will be freed. If not – you and your friend will face the firing squad.” […] 2025-10-11T13:47:29Z https://yabu.me/nevent1qqsg9m30a5e0a4cug6cvk34k8c0mpcpqxc05x2mkz8eglefwuk8787czypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xz5su7n In reply to <a href='/nevent1qqsqcqwud0rq3cr94fldvcy9xk6k425cjkxjru6qnp3vj7pgesn8t9cnsndle'>nevent1q…ndle</a><br/>_________________________<br/><br/>I would have expected the smallest eigenvectors to be a combination of positive shells and negative shells with 0 overall mass. Then the field outside them will be very nearly 0 regardless of how the sample points are positioned. 2025-10-09T13:04:08Z https://yabu.me/nevent1qqsdmlf684kuuj77unmrwhda2wnzwm6yx3xdwxf7c3stc6stjat7faqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xshuctk In reply to <a href='/nevent1qqs99jg76re9qp7wrm4t5v499yflqynzsr9t9vg8u7cdrt5u8vvue4gr85cqh'>nevent1q…5cqh</a><br/>_________________________<br/><br/>Idea Adventures? Idea Analysis? I just think UOEIA is a funny acronym. 2025-09-26T14:11:02Z https://yabu.me/nevent1qqspvkadrl75xlr29gv8429t2jmpz9cf59z45x5mylfwy4lypmcgkvszypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xmee784 In reply to <a href='/nevent1qqs9z0jp5wlpz35gdfrg46m6c6k92j4gfcu284yhxe0fn7fdkfraarsvyrm7x'>nevent1q…rm7x</a><br/>_________________________<br/><br/>See also: <a href="https://oeis.org/wiki/The_empty_sequence">https://oeis.org/wiki/The_empty_sequence</a> 2025-09-02T12:15:41Z https://yabu.me/nevent1qqsqpwact3w9xgal6eqly6xmk6ln7mh99g0w3hal8k7k5apq6dqek9czypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x8z6ahs In reply to <a href='/nevent1qqs2w4chcmhkxwdmtl7xcdj02sna2eg5l2tsmck5dv3zap07wgmugqgk4sapd'>nevent1q…sapd</a><br/>_________________________<br/><br/>I guess to prove that something isn&#39;t Rupert you would have to write some code that takes a proposed rotation and derives a bound that shows that no rotation within some distance of that rotation can work. Then you apply that to enough rotations to produce a cover of the space of rotations. 2025-08-28T08:55:00Z https://yabu.me/nevent1qqsrd9hhp9e4rfg84s7thvcy2z5hh0gzaaxf89uvagpc2q7pf58gjdgzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xtgsjvg In reply to <a href='/nevent1qqsptywxa4pfat8lj58us22slq3f9vh6qj2c4uhyce70055xf89arvs6adfgm'>nevent1q…dfgm</a><br/>_________________________<br/><br/>Actually most of the data is in the black grid! This image shows how it works.<br/> <img src="https://media.mathstodon.xyz/media_attachments/files/115/055/911/327/410/749/original/916dec3fc9f936a3.png"> <br/> 2025-08-19T14:31:57Z https://yabu.me/nevent1qqs0q0krk7xwx3zxl48engkcuxrpy3rsvwa7nss5rt4uczr28sfezgczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xxgfmpw A working QR code in the style of Piet Mondrian. Inspired <span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1mgl79fz0l5ggk88qrej7d2z53g7m02jzwd2x6kkuwj3n7rt0lrjqem620u" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>Dave Richeson</span> (<span class="italic">npub1mgl…620u</span>)</a></span> and <span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1p33ym3zu0v8qahqnnsfgudlkz486t8r3deupsa8wyua0nvfg89vqqyl877" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>Andrew</span> (<span class="italic">npub1p33…l877</span>)</a></span>.<br/><br/>#Art #PietMondrian #QRCode<br/> <img src="https://media.mathstodon.xyz/media_attachments/files/115/049/472/461/955/344/original/a8149e2f0aad79f4.png"> <br/> 2025-08-18T11:18:23Z https://yabu.me/nevent1qqspcl6xyjhs6gr8ghsfyf893t04leda0ltupa3s9dpqu8nz299hu7czypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xgap0pf In reply to <a href='/nevent1qqszmap5rrx034jtyk7tm6tmpfqrvp5mmrrguv7hztgja72zx6m58vqv5ujhh'>nevent1q…ujhh</a><br/>_________________________<br/><br/>The paper &#39;Infinitesimals&#39; (Lightstone, 1972) shows that each hyperreal can be thought of as having a decimal expansion whose digits are indexed by the nonstandard integers. But in that system not every decimal expansion corresponds to a hyperreal number. In particular there&#39;s no hyperreal whose digits are 9 for the positive standard integers and 0 elsewhere. The decimal representation of the hyperreal (0, 0.9, 0.99, …) has 9s all the way up to the ∞th decimal place, where ∞ is the nonstandard natural number given by (0, 1, 2, …).<br/><br/>Of course the decimal expansion whose digits are 0 for every nonnegative nonstandard integer and 9 for every positive nonstandard integer does correspond to a hyperreal, namely 1. 2025-07-30T10:16:02Z https://yabu.me/nevent1qqsft5jl69fjks437kjxfjuenaek707dtwuhn5yj2jndnua86qf064szypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x6k8pqp In reply to <a href='/nevent1qqsxww5cfclcd40yczc82dhd7uyzptpy9axqfpv89lwwdsthl7775dqzt4em3'>nevent1q…4em3</a><br/>_________________________<br/><br/>Given that hyperreals can be defined as equivalence classes of sequences of reals, you could say that 0.999… was notation for (0, 0.9, 0.99, …), which is indeed a hyperreal number less than 1. But I don&#39;t think this is a good idea, because there&#39;s not a good way to give every hyperreal a decimal expansion. Like, what would the square root of this number be? 2025-07-30T07:05:01Z https://yabu.me/nevent1qqsgxz67jwmxgq2js034p69vkhk0smnamxphj7qu0e7tjdlv4t0gsmszypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xklh7cx Knot theory news:<br/><br/>Mark Brittenham &amp; Susan Hermiller: &#39;Unknotting number is not additive under connected sum&#39;: <a href="https://arxiv.org/abs/2506.24088">https://arxiv.org/abs/2506.24088</a><br/><br/>If you have a knot tied in a loop of string then the &#39;unknotting number&#39; is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they&#39;re both tied in the same loop than it would be if they were each tied in separate loops.<br/><br/>#Math #Maths #Mathematics #KnotTheory 2025-07-01T13:18:56Z https://yabu.me/nevent1qqsp9kzncy7uw0925n527a7jj866syck02q2dmrlr8yzwzqug8r0hwqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xtpjw5m In reply to <a href='/nevent1qqsg4wu0lgwevx92yl4vc8kzu40yppt7vwcymadkxr9287ttyejd20suuht78'>nevent1q…ht78</a><br/>_________________________<br/><br/>(We need 0⁰ = 1, not 0) 2025-06-14T21:44:49Z https://yabu.me/nevent1qqsz2eryvsp96wk2a520m0qj3n8tvudd4t5m9tgm0dakgaujf89c0egzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xrggla6 In reply to <a href='/nevent1qqs8fsq6zg3cgrmdkck2d7kul7gs3pzd32mcc93lv3qkpgr2ed3yepqv6ze0m'>nevent1q…ze0m</a><br/>_________________________<br/><br/>Whereas in Analysis they&#39;ll tell you that 0⁰ is undefined, and then write nonsense like exp(x) = ∑xⁿ/n!. 2025-06-14T16:21:39Z https://yabu.me/nevent1qqsxsq6gxzswk0n7r8dj6vw5732as0nc936v88d3g7c3ez8z07mlccszypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x7relnu In reply to <a href='/nevent1qqsp7gfh0haczauaw9mttppmqqzc0tkxjwj0sec4ux9w72jjx3haz7qenwym6'>nevent1q…wym6</a><br/>_________________________<br/><br/>Ugh, yeah. My least favourite version is when they give the definition for 0 and say that it&#39;s &#39;by convention&#39; even though they&#39;ve literally just given a uniform definition that works fine for 0. 2025-06-14T14:21:23Z https://yabu.me/nevent1qqs9s62ldrd5murwnwr7nleqmmqqx37k25zsajvxnqc2tgdjgkga0sgzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xmw6az3 In reply to <a href='/nevent1qqsrj022elft3njlc78l45t9ucd9233v0x7fp0ehmjht9k695um795q6kjq4h'>nevent1q…jq4h</a><br/>_________________________<br/><br/>I have no relevant expertise, but I think it&#39;s what you said in your first post: &#39;we&#39;re assuming the plasma conducts electricity so well that the electric field is zero.&#39;. The location of the electrons is fully determined by this assumption. So we can just look at the motion of the ions, and let the electrons sort themselves out by moving to cancel any electric field. 2024-12-27T08:07:48Z https://yabu.me/nevent1qqsg7pd4xc0avqv2usrllr9x5ql2s9athse8g93548vadaatrypx2jgzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xw9nefm In reply to <a href='/nevent1qqsx7rmvcdtffx3ym8u555tf2uk6h42nqpr6a5ccd769rl9aqhmyk2qy42srk'>nevent1q…2srk</a><br/>_________________________<br/><br/>Right, there&#39;s no frame-independent concept of distance, but we could still talk about the angle they subtend in Bob&#39;s vision. 2024-11-29T19:58:55Z https://yabu.me/nevent1qqsp3rr2f6wfyznyuvlmsmwdy2qznv0ed2r5emnjqpjnst6yyz6t00qzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x859lsg In reply to <a href='/nevent1qqsz7ce92dlpd6sugvmuu8peht3n82zecyvypd0h8j6fpqhxuv9390ce3j8j6'>nevent1q…j8j6</a><br/>_________________________<br/><br/>We see the image flattened on the horizon from a distance, but we&#39;re falling towards it. So eventually it&#39;s going to stop being distant. What happens to the image as we fall towards it? We can&#39;t see it cross the horizon, because any light starting on the horizon would never reach us. But we also don&#39;t crash into the image as we cross the horizon, because what we see has to make sense locally. So where does it go? 2024-11-28T18:03:42Z https://yabu.me/nevent1qqs06n7mv80rnmryaafuct3x34w3wv20wtykffr0n9am0kgpgxlzzugzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xfpr6ve In reply to <a href='/nevent1qqs9lxzxfh093450qnlcr5vyf7qnq4smte82ss93lj3hdkmymkguk4ggkmulr'>nevent1q…mulr</a><br/>_________________________<br/><br/>So when the captain is 1m in front of the horizon do they see the 49 ships all compressed into that 1m? The ships look like they&#39;ve been flattened lengthwise? 2024-11-25T20:18:22Z https://yabu.me/nevent1qqs9e4hat4t33usqgjn07gduaz6r2he74wk83526jhp6ckh84rcrn8gzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xsc80ec &#39;time is a flat circle&#39;? what are you talking about, all circles are flat<br/><br/>#DifferentialGeometry 2024-11-14T18:46:16Z https://yabu.me/nevent1qqsd5ccf4pgnqwdfsc2lzx64ekukwktht969v26ufr640eheu726wyczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x48aw25 In reply to <a href='/nevent1qqsrus6a2x838nh90h8zdkmyg6f9ydt9gkw28m3kk659u5sgq4smsrsfepl9u'>nevent1q…pl9u</a><br/>_________________________<br/><br/>Whatever else you can say about Musk, he&#39;s really good at rapidly implementing his decisions. I think he&#39;s going to hate being in charge of a department that has no powers and is merely advisory. Especially when Trump simply ignores his recommendations. It&#39;s also funny that the Department of Government Efficiency will have two heads. Doesn&#39;t seem very efficient. And it will likely lead to more headaches for Musk as he tries to get anything done. I suspect he&#39;ll quit or be fired within a year. 2024-11-13T08:30:44Z https://yabu.me/nevent1qqsf6nqu2ehgcqrrx6uamnw2qrp52k3qz62xvfhsv05y7j2axzd4ehszypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xj32nlw In reply to <a href='/nevent1qqsg28e4j7rn3xgjhge7slawkyuut0558k86y0zx7d8erk3p6p4xxqq8pzxlc'>nevent1q…zxlc</a><br/>_________________________<br/><br/>Oh no, the Ceres black hole will only last 10^39 years! 2024-11-09T18:40:41Z https://yabu.me/nevent1qqspxwmty0k5g3x7nxd8fnmcvjkft708yspd0m5x09g78suhjcpvzxczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x69lr95 In reply to <a href='/nevent1qqsx6vanu0a7gcjy6xps7ztgv56nspkzp5xpk7enwdc0p7s7rsykv5cdjyhfd'>nevent1q…yhfd</a><br/>_________________________<br/><br/>Ah, perfect. That makes a lot of sense. 2024-11-09T18:29:03Z https://yabu.me/nevent1qqspuzf58qx3ydfhywjhyrtysa2j0chceechsc3ytu7vwvyltrh2e5qzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xq680av In reply to <a href='/nevent1qqstqeav9usju8456x08vg9lywtqnd76mxer7ahhqkcvtppwz4qjj0c8l8q3g'>nevent1q…8q3g</a><br/>_________________________<br/><br/>I tried the black hole temperature formula on the mass of Ceres, and got a temperature of about 100K. That&#39;s much hotter than the CMB, so how can asteroid-sized black holes exist without evaporating? 2024-11-09T18:10:31Z https://yabu.me/nevent1qqsvhjv05vjd2avznlnu6hectmxaaeyad2e8ylyp43uspma5643gpvqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xjd5952 In reply to <a href='/nevent1qqs2wfsefherymr0u00g4fdd8rmq7ul9ysqk9t522cqwrp8w33ca4mgwd5tdy'>nevent1q…5tdy</a><br/>_________________________<br/><br/>Thanks, that&#39;s a good collection of resources. I was thinking particularly of Savage&#39;s &#39;The Foundations of Statistics&#39;. 2024-09-26T05:47:29Z https://yabu.me/nevent1qqs0w66y9g3d2wcf5903fp8ng34vug09xkr5sphtvrzmzwtm6a8r8gqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xe3zl7m In reply to <a href='/nevent1qqsgd2rc4uxkk4h3gyvwwkv3mqhu0ul9k4vnf0j4q47vgefy4t6894g3dxluc'>nevent1q…xluc</a><br/>_________________________<br/><br/>I think ignorance is enough, without needing to bring in physics. There are various arguments showing that a rational agent must behave as though they assigned probabilities to the various possible states of the world, according to their own state of ignorance. See <a href="https://en.wikipedia.org/wiki/Dutch_book_theorems">https://en.wikipedia.org/wiki/Dutch_book_theorems</a>. 2024-09-25T19:36:33Z https://yabu.me/nevent1qqsxvkv8f0cre325wmlycedr9zdjc7nzk732fp9c89anss3flc7s7uczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xhdv0ly In reply to <a href='/nevent1qqszqfz4jq2z3gf23hdwpufnpr77vej4h5rjhmta8wt8cq232u4wcsghftfvs'>nevent1q…tfvs</a><br/>_________________________<br/><br/>Yeah, that would work. The only improvement I can think of without making it too complex would be to assign the variables one at a time and check each condition as soon as possible.<br/><br/>Like instead of<br/><br/>for a in (0,1):<br/> for b in (0,1):<br/> for c in (0,1):<br/> if (a or b) and (b or not c):<br/> return (a,b,c)<br/><br/>you could do<br/><br/>for a in (0,1):<br/> for b in (0,1):<br/> if (a or b):<br/> for c in (0,1):<br/> if (b or not c):<br/> return (a,b,c) 2024-09-23T02:35:09Z https://yabu.me/nevent1qqsyvwzfkxht8vq42sn8ts4du7p75j2cew3gramr2a2zkurpr2kj7uqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xev6j4f In reply to <a href='/nevent1qqst349lvrh5r3as7gwyxdsjkp3cztvjky4846l96nfye9kp9aa34cqgrtxr4'>nevent1q…txr4</a><br/>_________________________<br/><br/>If there&#39;s only 10 literals it might be quicker to solve them yourself using brute force. 2024-09-23T02:25:44Z https://yabu.me/nevent1qqsrl8cam8ef8nuq7x84jk46eh2zavghh9qy0ps2nnjwnz8jfhluqeczypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xtppsjl In reply to <a href='/nevent1qqsgevknlglkwc9dls5qnh09qnwqjzj0792dfjmy04c2rchzv33670qr7s85g'>nevent1q…s85g</a><br/>_________________________<br/><br/>I think that&#39;s the polyhedron and its 38 closest friends. 2024-09-16T17:27:32Z https://yabu.me/nevent1qqsd9tzspcqaz5eg80h0y8ptxvdln07gelkcnpmvsk3hejz4xnxt76czypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3xm6400u In reply to <a href='/nevent1qqsye7p04dvj3cmldcy8k8g70xnzulsf7g7h4h0yvfeej2e6xc8pscgsvzwpy'>nevent1q…zwpy</a><br/>_________________________<br/><br/>Ah good. I suspected 109 was going to show up somewhere.<br/>I have heard that the third-parties Amazon uses for on-demand printing can be poor quality. At least the print quality looks good on yours. 2024-09-15T08:53:07Z https://yabu.me/nevent1qqs8f8hvwgtypyw3qrygxts8f3v3z9kwgyf3jh9slhh7ecjuc4g9rpqzypl0slc0s77v8rcd8hyrs6s0e30vvvkhj2ups56qwfkkvm0dz3n3x7zn342 In reply to <a href='/nevent1qqsf0hpc86kktfeq8qdqqeeuxeyq4dk3wprr23umcz8507s2xadca2g0wwg0q'>nevent1q…wg0q</a><br/>_________________________<br/><br/>This is a really weird error. If a page was missing you would expect two numbers to be skipped since it has a front and a back. Did they print 110 twice? Or does the book just start with even numbers on the left but end with even numbers on the right? 2024-09-15T08:16:43Z