Difference between revisions of "Language/Multiple-languages/Vocabulary/Algebra"

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| 代数方程 ||  
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| dàishù fāngchéng ||  
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| algebraische Gleichung ||  
| algebraic equation || coefficient
| algebraic equation || coefficient
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| équation polynomiale, équation [f] algébrique ||  
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| 代数方程式 ||  
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| だ↑いす↓うほ↑うて↓いしき ||  
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| алгебраи́ческое уравне́ние ||  
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| 代数式 ||  
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| dàishù shì ||  
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| algebraischer Ausdruck ||  
| algebraic expression || expression <mathematical logic>; integer; constant; variable; algebraic operation
| algebraic expression || expression <mathematical logic>; integer; constant; variable; algebraic operation
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| expression [f] algébrique ||  
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| 代数式 ||  
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| だ↑いす↓うしき ||  
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| алгебраи́ческим выраже́нием ||  
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| 代数分式 ||  
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| dàishù fēnshì ||  
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| algebraic fraction || fraction; algebraic expression
| algebraic fraction || fraction; algebraic expression
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| 最大值自变量点集 ||  
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| zuìdàzhí zìbiànliàng diǎn jí ||  
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| Argument [n] des Maximums [n] ||  
| argument of the maximum || domain <mathematical logic>; maximum <mathematical analysis>
| argument of the maximum || domain <mathematical logic>; maximum <mathematical analysis>
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| argument [m] du maximum [m] ||  
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| 最大点作用素集合 ||  
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| さ↑いだいてんさ↓ようそしゅうごう ||  
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| аргуме́нт максимиза́ции ||  
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| 最小值自变量点集 ||  
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| zuìxiǎozhí zìbiànliàng diǎn jí ||  
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| Argument [n] des Minimums [n] ||  
| argument of the minimum || domain <mathematical logic>; minimum <mathematical analysis>
| argument of the minimum || domain <mathematical logic>; minimum <mathematical analysis>
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| argument [m] du minimum [m] ||  
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| 最小点作用素集合 ||  
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| さ↑いしょうてんさ↓ようそしゅうごう ||  
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| аргуме́нт минимиза́ции ||  
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| 系数 ||  
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| xì shù ||  
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| Koeffizient [n], Beizahl [f], Vorzahl [f] ||  
| coefficient || multiplication <number theory>; expression <mathematical logic>
| coefficient || multiplication <number theory>; expression <mathematical logic>
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| coefficient [f] ||  
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| 係数 ||  
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| け↑いす↓う ||  
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| коэффицие́нт ||  
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|-
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| 常数函数 ||  
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| chángshù hánshù ||  
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| konstante Funktion ||  
| constant function || constant <number theory>; function
| constant function || constant <number theory>; function
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| fonction constante ||  
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| 定数関数 ||  
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| て↑いすうか↓んすう ||  
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| конста́нтная фу́нкция, постоя́нная фу́нкция ||  
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| 因变量 ||  
| 因变量 ||  
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| abhängige Variable ||  
| abhängige Variable ||  
| dependent variable || fraction; operand <mathematical logic>
| dependent variable || fraction; operand <mathematical logic>
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| variable dépendante ||  
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| 従属変数 ||  
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| じ↑ゅうぞくへ↓んすう ||  
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| зави́симая переме́нная ||  
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| 等式，方程 ||  
| 等式，方程 ||  
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| 偶函数 ||  
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| ǒu hánshù ||  
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| gerade Funktion ||  
| even function || function <mathematical logic>; line symmetry <geometry>
| even function || function <mathematical logic>; line symmetry <geometry>
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| fonction paire ||  
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| 偶関数 ||  
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| ぐ↑うかんす↓う ||  
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| чётная фу́нкция ||  
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| 单位元，中立元 ||  
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| dānwèi yuán, zhōnglì yuán ||  
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| neutrales Element ||  
| identity element, neutral element || set <mathematical logic>; binary operation <mathematical logic>
| identity element, neutral element || set <mathematical logic>; binary operation <mathematical logic>
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| élément [m] neutre, élément [m] identité ||  
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| 単位元，中立元 ||  
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| た↑んいげん，ちゅ↑うりつげん ||  
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| нейтра́льный элеме́нт ||  
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| 自变量 ||  
| 自变量 ||  
| zì biànliàng ||  
| zì biànliàng ||  
| unabhängige Variable ||  
| unabhängige Variable ||  
| independent variable, argument of a function || function <mathematical logic>
| independent variable || function <mathematical logic>
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| variable indépendante ||  
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| 独立変数 ||  
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| ど↑くりつへ↓んすう ||  
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| незави́симая переме́нная ||  
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| 未定元 ||  
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| wèidìng yuán ||  
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| Unbestimmte [f] ||  
| indeterminate || variable
| indeterminate || variable
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| indéterminée [f] ||  
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| 不定元 ||  
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| ふ↑ていげん ||  
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| неопределённый ||  
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| 不等式 ||  
| 不等式 ||  
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| inequation || inequality <mathematical logic>
| inequation || inequality <mathematical logic>
| inéquation [f]
| inéquation [f]
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| 不等式 ||  
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| ふ↑と↓うしき ||  
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| неуравне́ние ||  
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| 代数分式 ||  
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| dàishù fēnshì ||  
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| integral expression || algebraic fraction
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| irrational expression ||
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| irrational fraction || algebraic fraction; polynomial; exponent
| irrational fraction || algebraic fraction; polynomial; exponent
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| 不可约多项式 ||  
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| bùkěyuē duōxiàngshì ||  
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| irreduzibles Polynom ||  
| irreducible polynomial || polynomial; factorization
| irreducible polynomial || polynomial; factorization
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| polynôme [m] irréductible ||  
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| 既約多項式 ||  
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| き↑やくたこ↓うしき ||  
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| неприводимый многочле́н ||  
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| 一次方程 ||  
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| yīcì fāngchéng ||  
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| lineare Gleichung ||  
| linear equation || equation; coefficient
| linear equation || equation; coefficient
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| équation linéaire ||  
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| 一次方程式 ||  
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| い↑ち↓じほ↑うて↓いしき ||  
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| лине́йное уравне́ние ||  
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| 奇函数 ||  
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| jī hánshù ||  
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| ungerade Funktion ||  
| odd function || function <mathematical logic>; point symmetry <geometry>
| odd function || function <mathematical logic>; point symmetry <geometry>
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| fonction impaire ||  
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| 奇関数 ||  
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| き↑か↓んすう ||  
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| нечётная фу́нкция ||  
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| 可约多项式 ||
| kěyuē duōxiàngshì ||
| reduzibles Polynom ||
| reducible polynomial || polynomial; factorization
| polynôme [m] réductible ||
| 可約多項式 ||
| か↑やくたこ↓うしき ||
| приводимый многочле́н ||
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|  ||  

Revision as of 21:37, 10 June 2022

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On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.

cmn-Hans-CN: 科目 cmn-Latn.Pinyin-CN: kēmù deu-Latn-DE: Fach [n] eng-Latn-US: subject fra-Latn-FR: matière [f] jpn-Jpan-JP: 科目 jpn-Hrkt-JP: か↑もく rus-Cyrl-RU: предме́т
抽象代数 chōuxiàng dàishù abstrakte Algebra abstract algebra algèbre générale, algèbre abstraite 抽象代数学 ちゅ↑うしょうだいす↓うがく общая а́лгебра, абстра́ктная а́лгебра, вы́сшая а́лгебра
群论 qún lùn Gruppentheorie [f] group theory théorie [f] des groupes [m pl] 群論 ぐ↓んろん тео́рия групп
环论 huán lùn Ringtheorie [f] ring theory théorie [f] des anneaux [m pl] 環論 か↑んろん тео́рия коле́ц
范畴论 fànchóu lùn Kategorientheorie [f] category theory théorie [f] des catégories [f pl] 圏論 け↑んろん тео́рия катего́рий
交换代数 jiāohuàn dàishù kommutative Algebra commutative algebra algèbre [f] commutative 可換環論 か↑かんか↓んろん коммутати́вная а́лгебра
线性代数 xiànxìng dàishù lineare Algebra, Vektoralgebra [f] linear algebra algèbre [f] linéaire 線型代数 せ↑んけいだいす↓うがく лине́йная а́лгебра
多重线性代数 duōchóng xiànxìng dàishù multilineare Algebra multilinear algebra algèbre [f] multilinéaire 多重線型代数 た↑じゅうせんけいだいす↓う полилине́йная а́лгебра
泛代数 fàn dàishù universelle Algebra, allgemeine Algebra universal algebra, common algebra algèbre [f] universelle 普遍代数学，一般代数学 ふ↑へんだいすう↓がく，い↑っぱんだいすう↓がく универса́льная а́лгебра
同调代数 tóngdiào dàishù homologische Algebra homological algebra algèbre [f] homologique ホモロジー代数学 ホ↑モロジ↓ーだいす↑うがく гомологи́ческая а́лгебра

Main

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
代数方程 dàishù fāngchéng algebraische Gleichung algebraic equation coefficient équation polynomiale, équation [f] algébrique 代数方程式 だ↑いす↓うほ↑うて↓いしき алгебраи́ческое уравне́ние
代数式 dàishù shì algebraischer Ausdruck algebraic expression expression <mathematical logic>; integer; constant; variable; algebraic operation expression [f] algébrique 代数式 だ↑いす↓うしき алгебраи́ческим выраже́нием
代数分式 dàishù fēnshì algebraic fraction fraction; algebraic expression
algebraic operation operation <mathematical logic>
最大值自变量点集 zuìdàzhí zìbiànliàng diǎn jí Argument [n] des Maximums [n] argument of the maximum domain <mathematical logic>; maximum <mathematical analysis> argument [m] du maximum [m] 最大点作用素集合 さ↑いだいてんさ↓ようそしゅうごう аргуме́нт максимиза́ции
最小值自变量点集 zuìxiǎozhí zìbiànliàng diǎn jí Argument [n] des Minimums [n] argument of the minimum domain <mathematical logic>; minimum <mathematical analysis> argument [m] du minimum [m] 最小点作用素集合 さ↑いしょうてんさ↓ようそしゅうごう аргуме́нт минимиза́ции
系数 xì shù Koeffizient [n], Beizahl [f], Vorzahl [f] coefficient multiplication <number theory>; expression <mathematical logic> coefficient [f] 係数 け↑いす↓う коэффицие́нт
常数函数 chángshù hánshù konstante Funktion constant function constant <number theory>; function fonction constante 定数関数 て↑いすうか↓んすう конста́нтная фу́нкция, постоя́нная фу́нкция
因变量 yīn biànliàng abhängige Variable dependent variable fraction; operand <mathematical logic> variable dépendante 従属変数 じ↑ゅうぞくへ↓んすう зави́симая переме́нная
等式，方程 děng shì, fāngchéng Gleichung [f] equation equality <mathematical logic>; expression <mathematical logic> équation [f]
偶函数 ǒu hánshù gerade Funktion even function function <mathematical logic>; line symmetry <geometry> fonction paire 偶関数 ぐ↑うかんす↓う чётная фу́нкция
identity equality <mathematical logic>
单位元，中立元 dānwèi yuán, zhōnglì yuán neutrales Element identity element, neutral element set <mathematical logic>; binary operation <mathematical logic> élément [m] neutre, élément [m] identité 単位元，中立元 た↑んいげん，ちゅ↑うりつげん нейтра́льный элеме́нт
自变量 zì biànliàng unabhängige Variable independent variable function <mathematical logic> variable indépendante 独立変数 ど↑くりつへ↓んすう незави́симая переме́нная
未定元 wèidìng yuán Unbestimmte [f] indeterminate variable indéterminée [f] 不定元 ふ↑ていげん неопределённый
不等式 bùděng shì Ungleichung [f] inequation inequality <mathematical logic> inéquation [f] 不等式 ふ↑と↓うしき неуравне́ние
代数分式 dàishù fēnshì irrational fraction algebraic fraction; polynomial; exponent
不可约多项式 bùkěyuē duōxiàngshì irreduzibles Polynom irreducible polynomial polynomial; factorization polynôme [m] irréductible 既約多項式 き↑やくたこ↓うしき неприводимый многочле́н
一次方程 yīcì fāngchéng lineare Gleichung linear equation equation; coefficient équation linéaire 一次方程式 い↑ち↓じほ↑うて↓いしき лине́йное уравне́ние
left identity identity element <mathematical logic>
monomial variable; natural number
奇函数 jī hánshù ungerade Funktion odd function function <mathematical logic>; point symmetry <geometry> fonction impaire 奇関数 き↑か↓んすう нечётная фу́нкция
parameter
partial fraction decomposition, partial fraction expansion algebraic fraction; polynomial
polynomial expression <mathematical logic>; coefficient; indeterminate
polynomial function polynomial; function <mathematical logic>
quadratic equation equation; coefficient
rational function algebraic fraction; polynomial
可约多项式 kěyuē duōxiàngshì reduzibles Polynom reducible polynomial polynomial; factorization polynôme [m] réductible 可約多項式 か↑やくたこ↓うしき приводимый многочле́н
right identity identity element <mathematical logic>
solution equation
square exponentiation <number theory>
system of equations, simultaneous equations finite set <mathematical logic>; equation
unknown variable
variable mathematical object <mathematical logic>
zero; root domain; solution

Abstract Algebra

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
algebraic structure underlying set; arity; identity
arity argument <mathematical logic>; operand <mathematical logic>
Boolean domain set; tautology <logic>; falsity <logic>
direct product Cartesian product <mathematical logic>
field set <mathematical logic>; basic operations <number theory>; rational number <number theory>
inverse element set <mathematical logic>; additive inverse <number theory>; multiplicative inverse <number theory>
underlying set, carrier set empty set <mathematical logic>

Group Theory

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
Cayley table finite group
group set <mathematical logic>
finite group underlying set; finite set <mathematical logic>
normal subgroup, invariant subgroup subgroup; conjugation
open interval interval
semigroup algebraic structure; associative property
subgroup group; binary operation <mathematical logic>

Ring Theory

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
ring

Commutative Algebra

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Linear Algebra

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
basis linear combination
characteristic equation characteristic polynomial
characteristic polynomial square matrix; eigenvalue; matrix similarity; zero
conjugate matrix, Hermitian matrix conjugate transpose
conjugate transpose, Hermitian transpose complex conjugate <mathematical logic>; transpose
diagonal matrix matrix; main diagonal
identity matrix square matrix; main diagonal
invertible matrix, nonsingular matrix identity matrix
linear combination expression <mathematical logic>; coefficient; vector space
linear dependence linear combination
linear independence linear combination
linear mapping vector addition; scalar multiplication
linear transformation linear mapping
binary matrix, logical matrix, relation matrix, Boolean matrix matrix; Boolean domain
like terms term <mathematical logic>
lower triangular matrix triangular matrix
main diagonal matrix; diagonal <geometry>
matrix rectangle <geometry>; expression <mathematical logic>
matrix addition matrix; addition <number theory>
matrix of ones matrix
matrix multiplication matrix; multiplication <number theory>; addition <number theory>
matrix similarity invertible matrix
proportional function proportionality <number theory>; function <mathematical logic>
rotation matrix linear transformation; rotation <geometry>
skew-Hermitian matrix, anti-Hermitian matrix Hermitian matrix
square matrix matrix; square <geometry>
system of linear equations; linear system linear equation
transformation matrix linear transformation; matrix
translation matrix translation <geometry>; matrix
transpose reflection <geometry>; main diagonal
triangular matrix square matrix; triangle <geometry>
upper triangular matrix triangular matrix
theorem in linear algebra
cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка
theorem in linear algebra
Cayley–Hamilton theorem characteristic polynomial; identity matrix; determinant; scalar; ring

Multilinear Algebra

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Universal Algebra

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Homological Algebra

cmn-Hans-CN: 概念 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: gàiniàn cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Begriff [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: concept eng-Latn-US: prerequisite fra-Latn-FR: concept [m] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 概念 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: が↓いねん jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: конце́пция rus-Cyrl-RU: предпосы́лка

Appendix

Sentence

cmn-Hans-CN: 语句 cmn-Hans-CN: 前提 cmn-Latn.Pinyin-CN: yǔjù cmn-Latn.Pinyin-CN: qiántí deu-Latn-DE: Satz [m] deu-Latn-DE: Voraussetzung [f] eng-Latn-US: sentence eng-Latn-US: prerequisite fra-Latn-FR: phrase [f] fra-Latn-FR: préalable [m] jpn-Jpan-JP: 文章 jpn-Jpan-JP: 前提 jpn-Hrkt-JP: ぶ​↑んしょ↓う jpn-Hrkt-JP: ぜ↑んてい rus-Cyrl-RU: фра́за rus-Cyrl-RU: предпосы́лка

Symbol

symbol cmn-Hans-CN: 含义 cmn-Latn.Pinyin-CN: hányì deu-Latn-DE: Bedeutung [f] eng-Latn-US: meaning fra-Latn-FR: signification [f] jpn-Jpan-JP: 意味 jpn-Hrkt-JP: い​↓​み rus-Cyrl-RU: значе́ние

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