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I've started learning Japanese Mahjong. I completed thirteen orphans on Tengokuhai (played against computers).pic.twitter.com/hra4z1Alml
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Baka to Test to Shoukanjuu Season 1 Episode 1 - Anime Math Bloghttps://animemath.blog.fc2.com/blog-entry-1.html …
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I just started a blog to solve math problems that appear in anime.https://animemath.blog.fc2.com
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The logarithm properties are often proved by substitution such as M = log_b(x), but formally they can be proved in one line assuming that a logarithm is the inverse of an exponential function, i.e. x = b^(log_b(x)) = log_b(b^x) (i.e. x = f(f^-1(x)) = f^-1(f(x))).
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Today I calculated π using Monte Carlo integration in BASIC. This program can be compiled with FreeBASIC as fbc -lang deprecated pi.bas. The boundary has Lebesgue measure zero so it doesn't matter for the sake of integration.https://pastebin.com/qHWprUcv
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I just created my profile so people who searched for my old handles can reach me. https://meta.wikimedia.org/wiki/User:Yuuki_Konno …
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Started a new project: A calculator app that aims to be a free/libre and open source software replacement for Wolfram|Alpha. https://calculator-alpha.github.io Also, I organized my old modules, never use it though.https://github.com/calculator-alpha/calculator-alpha.github.io …
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Wrote a SAT solver in MIT/GNU Scheme. https://pastebin.com/qHzj9DsD Enderton (2001, p. 23) says "ν satisfies φ iff ν̅(φ) = T" and I realized that the satisfiability problem (SAT) is to check whether a Boolean formula can be true. I knew SAT is NP-complete but I didn't know what SAT is.
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Created an online Scheme formatter / beautifier here:https://paiza.io/projects/66YJMdhAsZneYIr4VpgHMg?locale=en-us …
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Doing symbolic differentiation in MIT/GNU Scheme as described in SICP 2.3.2. Ended up with something like term rewriting. I don't know how to do this elegantly in Scheme.https://pastebin.com/sXEDx9Jg
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JavaScriptで集合を表現した https://pastebin.com/0Mc78u4S SICP第2章2.3節2.3.3項にも集合の表現が載っている 分出公理はfilter、置換公理はmapに対応し、{x ∈ U | φ(x)}はU.filter((x) => /* ... */)、{ψ(x) | x ∈ A}はhttp://A.map ((x) => /* ... */)に等しい
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アイバーソンの記法の性質を翻訳した https://ja.m.wikipedia.org/w/index.php?title=%E3%82%A2%E3%82%A4%E3%83%90%E3%83%BC%E3%82%BD%E3%83%B3%E3%81%AE%E8%A8%98%E6%B3%95&oldid=73203830#%E6%80%A7%E8%B3%AA … これを使うとn番目の素数p_nはベルトランの仮説によりp_n ≤ 2^nが成り立つので次のように四則演算と累乗で表せる また、包除原理の式は1 - (1 - A)(1 - B)(1 - C)のような多項式を展開すると得られる ジェガールキン多項式というものもpic.twitter.com/deqRqQc7vx
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完全解析プログラムで得られた金銀歩の9マス将棋の詰将棋 双玉で、余詰、駒余り、無駄駒があるかもしれないという意味で実戦詰将棋でもあるpic.twitter.com/iUuapZVebb
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スタティックメソッドは static I(n) { // ... } と書くべきだった あと equals(B) { const A = this; return String(A) === String(B); } を忘れた
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JavaScriptのMathオブジェクトのメソッドをJavaScriptで再実装し、ついでにいろんな関数を付け加えたhttps://pastebin.com/hheRi3nA
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JavaScriptで有理数を表現した https://pastebin.com/TJRQVvn9 SICP第2章2.1節2.1.1項にも有理数の表現が載っている このプログラムによるとMath.PI === 884279719003555/281474976710656らしい
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JavaScriptで複素数を表現した https://pastebin.com/76Dsc4mv SICP第2章2.4節2.4.1項にあるように直交形式と極形式を使い分けた 複素初等関数の実部、虚部、絶対値、偏角がどのように表されるか気になる
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