Language/Multiple-languages/Vocabulary/Algebra
< Language | Multiple-languages | Vocabulary
Jump to navigation
Jump to search
Rate this lesson:
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: 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 | абстра́ктная а́лгебра, общая 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 |
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 | |||||||
二项式 | èrxiàng shì | Binom [n] | binomial | binôme [m] | 二項式 | に↑こうしき | бино́м, двучле́н | ||||||||
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 | |||||||
constant term | term <logic>; algebraic expression; constant | ||||||||||||||
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[edit | edit source]
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[edit | edit source]
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[edit | edit source]
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[edit | edit source]
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[edit | edit source]
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 | ||||||||||||||
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[edit | edit source]
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[edit | edit source]
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[edit | edit source]
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Unmaintained! Moved to a Codeberg repository. Use Foam with VSCodium to visualise the content.
Other Lessons[edit | edit source]
- Category Theory
- Mechanics
- Animal sounds in many languages
- Common Han Characters with ⾡
- Machine Element
- Body in many languages
- Mathematical Logic
- Thermodynamics
- Greetings in All Languages
- Greetings General greeting