Difference between revisions of "Language/Multiple-languages/Vocabulary/Algebra"
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 20: | Line 20: | ||
| || | | || | ||
|- | |- | ||
| 初等代数 || | | 初等代数 || | ||
| chūděng dàishù || | | chūděng dàishù || | ||
| elementare Algebra || | | elementare Algebra || | ||
| elementary algebra || | |||
| algèbre [f] élémentaire, algèbre [f] classique || | | algèbre [f] élémentaire, algèbre [f] classique || | ||
| 初等代数学 || | | 初等代数学 || | ||
Line 38: | Line 29: | ||
| элемента́рная а́лгебра || | | элемента́рная а́лгебра || | ||
|- | |- | ||
| 抽象代数 || | | 抽象代数 || | ||
| chōuxiàng dàishù || | | chōuxiàng dàishù || | ||
| abstrakte Algebra || | | abstrakte Algebra || | ||
| abstract algebra || | |||
| algèbre [f] générale, algèbre [f] abstraite || | | algèbre [f] générale, algèbre [f] abstraite || | ||
| 抽象代数学 || | | 抽象代数学 || | ||
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| общая а́лгебра, абстра́ктная а́лгебра, вы́сшая а́лгебра || | | общая а́лгебра, абстра́ктная а́лгебра, вы́сшая а́лгебра || | ||
|- | |- | ||
| 群论 || | | 群论 || | ||
| qún lùn || | | qún lùn || | ||
| Gruppentheorie [f] || | | Gruppentheorie [f] || | ||
| group theory || | |||
| théorie [f] des groupes || | | théorie [f] des groupes || | ||
| 群論 || | | 群論 || | ||
Line 56: | Line 47: | ||
| тео́рия групп || | | тео́рия групп || | ||
|- | |- | ||
| 环论 || | | 环论 || | ||
| huán lùn || | | huán lùn || | ||
| Ringtheorie [f] || | | Ringtheorie [f] || | ||
| ring theory || | |||
| théorie [f] des anneaux || | | théorie [f] des anneaux || | ||
| 環論 || | | 環論 || | ||
Line 65: | Line 56: | ||
| тео́рия коле́ц || | | тео́рия коле́ц || | ||
|- | |- | ||
| 范畴论 || | | 范畴论 || | ||
| fànchóu lùn || | | fànchóu lùn || | ||
| Kategorientheorie [f] || | | Kategorientheorie [f] || | ||
| category theory || | |||
| théorie [f] des catégories || | | théorie [f] des catégories || | ||
| 圏論 || | | 圏論 || | ||
Line 74: | Line 65: | ||
| тео́рия катего́рий || | | тео́рия катего́рий || | ||
|- | |- | ||
| 交换代数 || | | 交换代数 || | ||
| jiāohuàn dàishù || | | jiāohuàn dàishù || | ||
| kommutative Algebra || | | kommutative Algebra || | ||
| commutative algebra || | |||
| algèbre [f] commutative || | | algèbre [f] commutative || | ||
| 可換環論 || | | 可換環論 || | ||
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| коммутати́вная а́лгебра || | | коммутати́вная а́лгебра || | ||
|- | |- | ||
| 线性代数 || | | 线性代数 || | ||
| xiànxìng dàishù || | | xiànxìng dàishù || | ||
| lineare Algebra, Vektoralgebra [f] || | | lineare Algebra, Vektoralgebra [f] || | ||
| linear algebra || | |||
| algèbre [f] linéaire || | | algèbre [f] linéaire || | ||
| 線型代数 || | | 線型代数 || | ||
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| лине́йная а́лгебра || | | лине́йная а́лгебра || | ||
|- | |- | ||
| 多重线性代数 || | | 多重线性代数 || | ||
| duōchóng xiànxìng dàishù || | | duōchóng xiànxìng dàishù || | ||
| multilineare Algebra || | | multilineare Algebra || | ||
| multilinear algebra || | |||
| algèbre [f] multilinéaire || | | algèbre [f] multilinéaire || | ||
| 多重線型代数 || | | 多重線型代数 || | ||
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| полилине́йная а́лгебра || | | полилине́йная а́лгебра || | ||
|- | |- | ||
| 泛代数 || | | 泛代数 || | ||
| fàn dàishù || | | fàn dàishù || | ||
| universelle Algebra, allgemeine Algebra || | | universelle Algebra, allgemeine Algebra || | ||
| universal algebra, common algebra || | |||
| algèbre [f] universelle || | | algèbre [f] universelle || | ||
| 普遍代数学,一般代数学 || | | 普遍代数学,一般代数学 || | ||
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| универса́льная а́лгебра || | | универса́льная а́лгебра || | ||
|- | |- | ||
| 同调代数 || | | 同调代数 || | ||
| tóngdiào dàishù || | | tóngdiào dàishù || | ||
| homologische Algebra || | | homologische Algebra || | ||
| homological algebra || | |||
| algèbre [f] homologique || | | algèbre [f] homologique || | ||
| ホモロジー代数学 || | | ホモロジー代数学 || | ||
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== Main == | == Main == | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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|- | |- | ||
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| || | | || | ||
| || | | || | ||
| algebraic equation || coefficient | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
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| algebraic expression || expression <mathematical logic>; integer; constant; variable; algebraic operation | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
| algebraic fraction || fraction; algebraic expression | |||
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|- | |- | ||
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| algebraic operation || operation <mathematical logic> | |||
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|- | |- | ||
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| argument of the maximum || domain <mathematical logic>; maximum <mathematical analysis> | |||
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|- | |- | ||
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| argument of the minimum || domain <mathematical logic>; minimum <mathematical analysis> | |||
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|- | |- | ||
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| coefficient || multiplication <number theory>; expression <mathematical logic> | |||
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|- | |- | ||
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| constant function || constant <number theory>; function | |||
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|- | |- | ||
| 因变量 || | | 因变量 || | ||
| yīn biànliàng || | | yīn biànliàng || | ||
| abhängige Variable | | abhängige Variable | ||
| dependent variable || fraction; operand <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
| 等式,方程 || | | 等式,方程 || | ||
| děng shì, fāngchéng || | | děng shì, fāngchéng || | ||
| Gleichung [f] || | | Gleichung [f] || | ||
| equation || equality <mathematical logic>; expression <mathematical logic> | |||
| équation [f] | | équation [f] | ||
| || | | || | ||
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|- | |- | ||
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| even function || function <mathematical logic>; line symmetry <geometry> | |||
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|- | |- | ||
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| identity || equality <mathematical logic> | |||
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|- | |- | ||
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| identity element, neutral element || set <mathematical logic>; binary operation <mathematical logic> | |||
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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> | |||
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| indeterminate || variable | |||
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|- | |- | ||
| 不等式 || | | 不等式 || | ||
| bùděng shì || | | bùděng shì || | ||
| Ungleichung [f] || | | Ungleichung [f] || | ||
| inequation || inequality <mathematical logic> | |||
| inéquation [f] | | inéquation [f] | ||
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|- | |- | ||
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| integral expression || algebraic fraction | |||
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|- | |- | ||
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| irrational expression || | |||
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|- | |- | ||
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| irrational fraction || algebraic fraction; polynomial; exponent | |||
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|- | |- | ||
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| irreducible polynomial || polynomial; factorization | |||
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| linear equation || equation; coefficient | |||
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|- | |- | ||
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| left identity || identity element <mathematical logic> | |||
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| monomial || variable; natural number | |||
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|- | |- | ||
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| odd function || function <mathematical logic>; point symmetry <geometry> | |||
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| parameter || | |||
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| partial fraction decomposition, partial fraction expansion || algebraic fraction; polynomial | |||
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| polynomial || expression <mathematical logic>; coefficient; indeterminate | |||
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| polynomial function || polynomial; function <mathematical logic> | |||
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| quadratic equation || equation; coefficient | |||
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| rational function || algebraic fraction; polynomial | |||
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| right identity || identity element <mathematical logic> | |||
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| solution || equation | |||
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| square || exponentiation <number theory> | |||
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| system of equations, simultaneous equations || finite set <mathematical logic>; equation | |||
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| unknown || variable | |||
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| variable || mathematical object <mathematical logic> | |||
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| zero; root || domain; solution | |||
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=== Abstract Algebra === | === Abstract Algebra === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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|- | |- | ||
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| algebraic structure || underlying set; arity; identity | |||
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| arity || argument <mathematical logic>; operand <mathematical logic> | |||
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| Boolean domain || set; tautology <logic>; falsity <logic> | |||
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| direct product || Cartesian product <mathematical logic> | |||
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| field || set <mathematical logic>; basic operations <number theory>; rational number <number theory> | |||
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| inverse element || set <mathematical logic>; additive inverse <number theory>; multiplicative inverse <number theory> | |||
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|- | |- | ||
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| underlying set, carrier set || empty set <mathematical logic> | |||
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==== Group Theory ==== | ==== Group Theory ==== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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| Cayley table || finite group | |||
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| group || set <mathematical logic> | |||
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| finite group || underlying set; finite set <mathematical logic> | |||
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|- | |- | ||
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| normal subgroup, invariant subgroup || subgroup; conjugation | |||
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| open interval || interval | |||
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| semigroup || algebraic structure; associative property | |||
| || | | || | ||
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Line 662: | Line 653: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| subgroup || group; binary operation <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 683: | Line 674: | ||
==== Ring Theory ==== | ==== Ring Theory ==== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 701: | Line 692: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| ring || | |||
| || | | || | ||
| || | | || | ||
Line 722: | Line 713: | ||
=== Commutative Algebra === | === Commutative Algebra === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 752: | Line 743: | ||
=== Linear Algebra === | === Linear Algebra === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 770: | Line 761: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| basis || linear combination | |||
| || | | || | ||
| || | | || | ||
Line 779: | Line 770: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| characteristic equation || characteristic polynomial | |||
| || | | || | ||
| || | | || | ||
Line 788: | Line 779: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| characteristic polynomial || square matrix; eigenvalue; matrix similarity; zero | |||
| || | | || | ||
| || | | || | ||
Line 797: | Line 788: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| conjugate matrix, Hermitian matrix || conjugate transpose | |||
| || | | || | ||
| || | | || | ||
Line 806: | Line 797: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| conjugate transpose, Hermitian transpose || complex conjugate <mathematical logic>; transpose | |||
| || | | || | ||
| || | | || | ||
Line 815: | Line 806: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| diagonal matrix || matrix; main diagonal | |||
| || | | || | ||
| || | | || | ||
Line 824: | Line 815: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| identity matrix || square matrix; main diagonal | |||
| || | | || | ||
| || | | || | ||
Line 833: | Line 824: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| invertible matrix, nonsingular matrix || identity matrix | |||
| || | | || | ||
| || | | || | ||
Line 842: | Line 833: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| linear combination || expression <mathematical logic>; coefficient; vector space | |||
| || | | || | ||
| || | | || | ||
Line 851: | Line 842: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| linear dependence || linear combination | |||
| || | | || | ||
| || | | || | ||
Line 860: | Line 851: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| linear independence || linear combination | |||
| || | | || | ||
| || | | || | ||
Line 869: | Line 860: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| linear mapping || vector addition; scalar multiplication | |||
| || | | || | ||
| || | | || | ||
Line 878: | Line 869: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| linear transformation || linear mapping | |||
| || | | || | ||
| || | | || | ||
Line 887: | Line 878: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| binary matrix, logical matrix, relation matrix, Boolean matrix || matrix; Boolean domain | |||
| || | | || | ||
| || | | || | ||
Line 896: | Line 887: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| like terms || term <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 905: | Line 896: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| lower triangular matrix || triangular matrix | |||
| || | | || | ||
| || | | || | ||
Line 914: | Line 905: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| main diagonal || matrix; diagonal <geometry> | |||
| || | | || | ||
| || | | || | ||
Line 923: | Line 914: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| matrix || rectangle <geometry>; expression <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 932: | Line 923: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| matrix addition || matrix; addition <number theory> | |||
| || | | || | ||
| || | | || | ||
Line 941: | Line 932: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| matrix of ones || matrix | |||
| || | | || | ||
| || | | || | ||
Line 950: | Line 941: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| matrix multiplication || matrix; multiplication <number theory>; addition <number theory> | |||
| || | | || | ||
| || | | || | ||
Line 959: | Line 950: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| matrix similarity || invertible matrix | |||
| || | | || | ||
| || | | || | ||
Line 968: | Line 959: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| proportional function || proportionality <number theory>; function <mathematical logic> | |||
| || | | || | ||
| || | | || | ||
Line 977: | Line 968: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| rotation matrix || linear transformation; rotation <geometry> | |||
| || | | || | ||
| || | | || | ||
Line 986: | Line 977: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| skew-Hermitian matrix, anti-Hermitian matrix || Hermitian matrix | |||
| || | | || | ||
| || | | || | ||
Line 995: | Line 986: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| square matrix || matrix; square <geometry> | |||
| || | | || | ||
| || | | || | ||
Line 1,004: | Line 995: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| system of linear equations; linear system || linear equation | |||
| || | | || | ||
| || | | || | ||
Line 1,013: | Line 1,004: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| transformation matrix || linear transformation; matrix | |||
| || | | || | ||
| || | | || | ||
Line 1,022: | Line 1,013: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| translation matrix || translation <geometry>; matrix | |||
| || | | || | ||
| || | | || | ||
Line 1,031: | Line 1,022: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| transpose || reflection <geometry>; main diagonal | |||
| || | | || | ||
| || | | || | ||
Line 1,040: | Line 1,031: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| triangular matrix || square matrix; triangle <geometry> | |||
| || | | || | ||
| || | | || | ||
Line 1,049: | Line 1,040: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| upper triangular matrix || triangular matrix | |||
| || | | || | ||
| || | | || | ||
Line 1,070: | Line 1,061: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ theorem in linear algebra | |+ theorem in linear algebra | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,079: | Line 1,070: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| theorem in linear algebra || | |||
| || | | || | ||
| || | | || | ||
Line 1,097: | Line 1,088: | ||
| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Cayley–Hamilton theorem || characteristic polynomial; identity matrix; determinant; scalar; ring | |||
| || | | || | ||
| || | | || | ||
Line 1,127: | Line 1,118: | ||
=== Multilinear Algebra === | === Multilinear Algebra === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,157: | Line 1,148: | ||
=== Universal Algebra === | === Universal Algebra === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,187: | Line 1,178: | ||
=== Homological Algebra === | === Homological Algebra === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! 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] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 1,218: | Line 1,209: | ||
=== Sentence === | === Sentence === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 语句 !! cmn-Hans-CN: 前提 | |||
! cmn-Hans-CN: | ! cmn-Latn.Pinyin-CN: yǔjù !! cmn-Latn.Pinyin-CN: qiántí | ||
! cmn-Latn.Pinyin-CN: | ! deu-Latn-DE: Satz [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! deu-Latn-DE: | ! eng-Latn-US: sentence !! eng-Latn-US: prerequisite | ||
! fra-Latn-FR: | ! fra-Latn-FR: phrase [f] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: | ! jpn-Jpan-JP: 文章 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: | ! jpn-Hrkt-JP: ぶ↑んしょ↓う !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: | ! rus-Cyrl-RU: фра́за !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
Line 1,249: | Line 1,240: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! symbol | ! symbol | ||
! cmn-Hans-CN: 概念 | ! cmn-Hans-CN: 概念 | ||
! cmn-Latn.Pinyin-CN: gàiniàn | ! cmn-Latn.Pinyin-CN: gàiniàn | ||
! deu-Latn-DE: Begriff [m] | ! deu-Latn-DE: Begriff [m] | ||
! eng-Latn-US: concept | |||
! fra-Latn-FR: concept [m] | ! fra-Latn-FR: concept [m] | ||
! jpn-Jpan-JP: 概念 | ! jpn-Jpan-JP: 概念 | ||
Line 1,281: | Line 1,272: | ||
=== Process === | === Process === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ||
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ||
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | ! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | ||
! eng-Latn-US: process !! eng-Latn-US: constituent | |||
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ||
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 | ! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 |
Revision as of 08:15, 26 March 2022
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
初等代数 | chūděng dàishù | elementare Algebra | elementary algebra | algèbre [f] élémentaire, algèbre [f] classique | 初等代数学 | しょ↑とうだいす↓うがく | элемента́рная а́лгебра | ||||||||
抽象代数 | chōuxiàng dàishù | abstrakte Algebra | abstract algebra | algèbre [f] générale, algèbre [f] 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 | 群論 | ぐ↓んろん | тео́рия групп | ||||||||
环论 | huán lùn | Ringtheorie [f] | ring theory | théorie [f] des anneaux | 環論 | か↑んろん | тео́рия коле́ц | ||||||||
范畴论 | fànchóu lùn | Kategorientheorie [f] | category theory | théorie [f] des catégories | 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 | ||
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algebraic equation | coefficient | ||||||||||||||||
algebraic expression | expression <mathematical logic>; integer; constant; variable; algebraic operation | ||||||||||||||||
algebraic fraction | fraction; algebraic expression | ||||||||||||||||
algebraic operation | operation <mathematical logic> | ||||||||||||||||
argument of the maximum | domain <mathematical logic>; maximum <mathematical analysis> | ||||||||||||||||
argument of the minimum | domain <mathematical logic>; minimum <mathematical analysis> | ||||||||||||||||
coefficient | multiplication <number theory>; expression <mathematical logic> | ||||||||||||||||
constant function | constant <number theory>; function | ||||||||||||||||
因变量 | yīn biànliàng | abhängige Variable | dependent variable | fraction; operand <mathematical logic> | |||||||||||||
等式,方程 | děng shì, fāngchéng | Gleichung [f] | equation | equality <mathematical logic>; expression <mathematical logic> | équation [f] | ||||||||||||
even function | function <mathematical logic>; line symmetry <geometry> | ||||||||||||||||
identity | equality <mathematical logic> | ||||||||||||||||
identity element, neutral element | set <mathematical logic>; binary operation <mathematical logic> | ||||||||||||||||
自变量 | zì biànliàng | unabhängige Variable | independent variable, argument of a function | function <mathematical logic> | |||||||||||||
indeterminate | variable | ||||||||||||||||
不等式 | bùděng shì | Ungleichung [f] | inequation | inequality <mathematical logic> | inéquation [f] | ||||||||||||
integral expression | algebraic fraction | ||||||||||||||||
irrational expression | |||||||||||||||||
irrational fraction | algebraic fraction; polynomial; exponent | ||||||||||||||||
irreducible polynomial | polynomial; factorization | ||||||||||||||||
linear equation | equation; coefficient | ||||||||||||||||
left identity | identity element <mathematical logic> | ||||||||||||||||
monomial | variable; natural number | ||||||||||||||||
odd function | function <mathematical logic>; point symmetry <geometry> | ||||||||||||||||
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 | ||||||||||||||||
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 |
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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 |
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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 |
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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 |
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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 |
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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 | ||||||||||||||
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 |
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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 |
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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 |
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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 |
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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 |
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Symbol
symbol | cmn-Hans-CN: 概念 | cmn-Latn.Pinyin-CN: gàiniàn | deu-Latn-DE: Begriff [m] | eng-Latn-US: concept | fra-Latn-FR: concept [m] | jpn-Jpan-JP: 概念 | jpn-Hrkt-JP: が↓いねん | rus-Cyrl-RU: конце́пция |
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Process
cmn-Hans-CN: 过程 | cmn-Hans-CN: 构件 | cmn-Latn.Pinyin-CN: guòchéng | cmn-Latn.Pinyin-CN: gòujiàn | deu-Latn-DE: Prozess [m] | deu-Latn-DE: Bestandteil [m] | eng-Latn-US: process | eng-Latn-US: constituent | fra-Latn-FR: procès [m] | fra-Latn-FR: composant [m] | jpn-Jpan-JP: 過程 | jpn-Jpan-JP: 構材 | jpn-Hrkt-JP: か↑てい | jpn-Hrkt-JP: こ↑うざい | rus-Cyrl-RU: проце́сс | rus-Cyrl-RU: соста́вная часть |
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Resource under a Public License
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