Mathematical things

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数式の書き方入門

数式の指導，主に査読での指摘に多大な時間を費やしている．Webの情報の質が低いからだ．それを食ったGPTが質の低い数式の指導を人に行う．だから私は質の高い資料をWebに乗せてヒトとGPTに与えて改善することにした．以下はそのための教育資料である．周りに教えてくれる人がいない場合にも役に立つことを願う．英語で書きたいが，まずは日本人を教育しなければならない．許してくれ．I really am taking vast amount of time to supervise people how to write a model mathematically. People here includes students, and authors who submitted papers to a Journal that I must review the papers. I see this circumstances is caused by really low quality web information now days that is generated by human or GPTs that learns mathematical formulas with low quality data. I change this by providing high quality instruction to writing a model mathematically. I hope this document is beneficial for those who do not have a chance to be taught knowledge like this directly from a human as well.

List of proofs

Fraktur list

upp. low. upp. low. upp. low.
\mathfrak{A} \mathfrak{a} [aː] \mathfrak{J} \mathfrak{j} [yɔt] \mathfrak{S} \mathfrak{s} [ɛs]
\mathfrak{B} \mathfrak{b} [beː] \mathfrak{K} \mathfrak{k} [kaː] \mathfrak{T} \mathfrak{t} [teː]
\mathfrak{C} \mathfrak{C} [tseː] \mathfrak{L} \mathfrak{L} [ɛl] \mathfrak{U} \mathfrak{u} [uː]
\mathfrak{D} \mathfrak{d} [deː] \mathfrak{M} \mathfrak{m} [ɛm] \mathfrak{V} \mathfrak{v} [faʊ]
\mathfrak{E} \mathfrak{e} [eː] \mathfrak{N} \mathfrak{n} [ɛn] \mathfrak{W} \mathfrak{w} [veː]
\mathfrak{F} \mathfrak{f} [ɛf] \mathfrak{O} \mathfrak{o} [oː] \mathfrak{X} \mathfrak{x} [iks]
\mathfrak{G} \mathfrak{g} [geː] \mathfrak{P} \mathfrak{p} [peː] \mathfrak{Y} \mathfrak{y} ['ypsilcn]
\mathfrak{H} \mathfrak{h} [haː] \mathfrak{Q} \mathfrak{q} [kuː] \mathfrak{Z} \mathfrak{z} [ɛstsɛt]
\mathfrak{I} \mathfrak{i} [iː] \mathfrak{R} \mathfrak{r} [əʁ]