Difference between revisions of "Language/Multiple-languages/Vocabulary/Algebra"
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| equation || equality <mathematical logic>; expression <mathematical logic> | | equation || equality <mathematical logic>; expression <mathematical logic> | ||
| | | 等式,方程 || | ||
| | | děng shì, fāngchéng || | ||
| Gleichung [f] || | | Gleichung [f] || | ||
| équation [f] | | équation [f] |
Revision as of 04:16, 14 March 2022
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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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algebra | 代数 | dàishù | Algebra [f] | algèbre [f] | 代数学 | だ↑いす↓うがく | а́лгебра | ||||||||
elementary algebra | 初等代数 | chūděng dàishù | elementare Algebra | algèbre [f] élémentaire, algèbre [f] classique | 初等代数学 | しょ↑とうだいす↓うがく | элемента́рная а́лгебра | ||||||||
abstract algebra | 抽象代数 | chōuxiàng dàishù | abstrakte 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 | ||||||||
group theory | 群论 | qún lùn | Gruppentheorie [f] | théorie [f] des groupes | 群論 | ぐ↓んろん | тео́рия групп | ||||||||
ring theory | 环论 | huán lùn | Ringtheorie [f] | théorie [f] des anneaux | 環論 | か↑んろん | тео́рия коле́ц | ||||||||
category theory | 范畴论 | fànchóu lùn | Kategorientheorie [f] | théorie [f] des catégories | 圏論 | け↑んろん | тео́рия катего́рий | ||||||||
commutative algebra | 交换代数 | jiāohuàn dàishù | kommutative Algebra | algèbre [f] commutative | 可換環論 | か↑かんか↓んろん | коммутати́вная а́лгебра | ||||||||
linear algebra | 线性代数 | xiànxìng dàishù | lineare Algebra, Vektoralgebra [f] | algèbre [f] linéaire | 線型代数 | せ↑んけいだいす↓うがく | лине́йная а́лгебра | ||||||||
multilinear algebra | 多重线性代数 | duōchóng xiànxìng dàishù | multilineare Algebra | algèbre [f] multilinéaire | 多重線型代数 | た↑じゅうせんけいだいす↓う | полилине́йная а́лгебра | ||||||||
universal algebra, common algebra | 泛代数 | fàn dàishù | universelle Algebra, allgemeine 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 | ||||||||
homological algebra | 同调代数 | tóngdiào dàishù | homologische 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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 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 | ||||||||||||||||
dependent variable | fraction; operand <mathematical logic> | 因变量 | yīn biànliàng | abhängige Variable | |||||||||||||
equation | equality <mathematical logic>; expression <mathematical logic> | 等式,方程 | děng shì, fāngchéng | Gleichung [f] | 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> | ||||||||||||||||
independent variable, argument of a function | function <mathematical logic> | 自变量 | zì biànliàng | unabhängige Variable | |||||||||||||
indeterminate | variable | ||||||||||||||||
inequation | inequality <mathematical logic> | 不等式 | bùděng shì | Ungleichung [f] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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 | ||||||||||||||
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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
eng-Latn-US: concept | eng-Latn-US: prerequisite | 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] | 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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Symbol
symbol | eng-Latn-US: concept | cmn-Hans-CN: 概念 | cmn-Latn.Pinyin-CN: gàiniàn | deu-Latn-DE: Begriff [m] | 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
eng-Latn-US: process | eng-Latn-US: constituent | 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] | 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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