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How to Read Math in Japanese (また、英語での数学の読み方) - Michael Mazack
As you may be aware, I am a mathematician who knows Japanese. Thus, I have decided to compile a list of how to read mathematics in both English and Japanese. A lot of this information was found in the source listed at the bottom of the page. I hope you find this list useful. Using Rikaichan to read the kanji may be helpful. 私は日本語が分かる数学者なので、このリストを書くことにした。日本人なら、英語の文章は役に立つだろう。だから、もし役に立つと思ったら、よく使って文章を
The HoTT Book
Homotopy Type Theory: Univalent Foundations of Mathematics The Univalent Foundations Program Institute for Advanced Study Buy a hardcover copy for $21.00. [620 pages, 6″ × 9″ size, hardcover, first-edition-1277-g3274cb3] Buy a paperback copy for $14.00. [620 pages, 6″ × 9″ size, paperback, first-edition-1277-g3274cb3] Download PDF for on-screen viewing. [490+ pages, letter size, in color, with col
www.Autodiff.org - Community Portal for Automatic Differentiation
This site is designed to serve as the entry site to everything you want to know about automatic differentiation. Automatic Differentiation (AD) is a technology for automatically augmenting computer programs, including arbitrarily complex simulations, with statements for the computation of derivatives, also known as sensitivities. We apologize for any inconvenience caused by the fact that this site
モナドはメタファーではない · eed3si9n
2011-05-28 Scala界の関数型プログラミング一派を代表する論客の一人、@djspiewak が 2010年に書いた “Monads Are Not Metaphors” を翻訳しました。翻訳の公開は本人より許諾済みです。翻訳の間違い等があれば遠慮なくご指摘ください。 2010年12月27日 Daniel Spiewak 著 2011年5月29日 e.e d3si9n 訳 僕は今、約束を破るところだ。およそ三年前、僕は絶対にモナドの記事だけは書かないと自分に約束した。既にモナドに関する記事は有り余っている。記事の数が多すぎてその多さだけで多くの人は混乱している。しかも全員がモナドに対して異なる扱い方をしているため、モナドの概念を初めて学ぼうとする者は、ブリトー、宇宙服、象、砂漠のベドウィン (訳注: アラブ系遊牧民) の共通項を探す努力をするハメになっている。 僕は、この混乱した
Lyapunov Function -- from Wolfram MathWorld
A Lyapunov function is a scalar function defined on a region that is continuous, positive definite, for all ), and has continuous first-order partial derivatives at every point of . The derivative of with respect to the system , written as is defined as the dot product The existence of a Lyapunov function for which on some region containing the origin, guarantees the stability of the zero solution
Isabelle
What is Isabelle? Isabelle is a generic proof assistant. It allows mathematical formulas to be expressed in a formal language and provides tools for proving those formulas in a logical calculus. Isabelle was originally developed at the University of Cambridge and Technische Universität München, but now includes numerous contributions from institutions and individuals worldwide. See the Isabelle ov
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Module (mathematics) - Wikipedia
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. The concept of module also generalizes the notion of abelian group, since the abelian groups are exactly the modules over the ring of integers. Like a vector space, a module is an additive abelian group, and scalar multiplication is distributive over the operations of add
Construction of the real numbers - Wikipedia
In mathematics, there are several equivalent ways of defining the real numbers. One of them is that they form a complete ordered field that does not contain any smaller complete ordered field. Such a definition does not prove that such a complete ordered field exists, and the existence proof consists of constructing a mathematical structure that satisfies the definition. The article presents sever
Lanczos approximation - Wikipedia
In mathematics, the Lanczos approximation is a method for computing the gamma function numerically, published by Cornelius Lanczos in 1964. It is a practical alternative to the more popular Stirling's approximation for calculating the gamma function with fixed precision. Introduction[edit] The Lanczos approximation consists of the formula for the gamma function, with Here g is a real constant that
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Amazon.com: Optimization for Machine Learning (Neural Information Processing Series): Sra, Suvrit, Nowozin, Sebastian, Wright, Stephen J.: Books
ルベーク測度の拡張の可能性について 渕野 昌（中部大学，fuchino@isc.chubu.ac.jp） 2006 年 12 月 5 日 静岡大学数学教室談話会での講演 1 2 X を集合として，B ⊆ P(X) を σ-集合代数とする． µ : B →
The Arithmetic of Differentiation on JSTOR
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Amazon.com: Linear Algebra (Undergraduate Texts in Mathematics) (9781441930811): Serge Lang: Books
Isabelle/HOL sessions (Isabelle2023)
Amazon.co.jp: Concrete Mathematics: A Foundation for Computer Science: Graham, Ronald L. Knuth, Donald E. Patashnik, Oren: 本