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: 科目
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: kēmù
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Fach [n]
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! eng-Latn-US: subject
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: か↑もく
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: предме́т
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|-
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| 初等代数 ||
| 初等代数
| chūděng dàishù ||
| chūděng dàishù
| elementare Algebra ||
| elementare Algebra
| elementary 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
| しょ↑とうだいす↓うがく ||
| しょ↑とうだいす↓うがく
| элемента́рная а́лгебра ||
| элемента́рная а́лгебра
|-
|-
| 抽象代数 ||
| 抽象代数
| chōuxiàng dàishù ||
| chōuxiàng dàishù
| abstrakte Algebra ||
| abstrakte Algebra
| abstract 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
| ちゅ↑うしょうだいす↓うがく ||
| ちゅ↑うしょうだいす↓うがく
| 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 ||
| group theory
| théorie [f] des groupes ||
| théorie [f] des groupes
| 群論 ||
| 群論
| ぐ↓んろん ||
| ぐ↓んろん
| тео́рия групп ||
| тео́рия групп
|-
|-
| 环论 ||
| 环论
| huán lùn ||
| huán lùn
| Ringtheorie [f] ||
| Ringtheorie [f]
| ring theory ||
| ring theory
| théorie [f] des anneaux ||
| théorie [f] des anneaux
| 環論 ||
| 環論
| か↑んろん ||
| か↑んろん
| тео́рия коле́ц ||
| тео́рия коле́ц
|-
|-
| 范畴论 ||
| 范畴论
| fànchóu lùn ||
| fànchóu lùn
| Kategorientheorie [f] ||
| Kategorientheorie [f]
| category theory ||
| category theory
| théorie [f] des catégories ||
| théorie [f] des catégories
| 圏論 ||
| 圏論
| け↑んろん ||
| け↑んろん
| тео́рия катего́рий ||
| тео́рия катего́рий
|-
|-
| 交换代数 ||
| 交换代数
| jiāohuàn dàishù ||
| jiāohuàn dàishù
| kommutative Algebra ||
| kommutative Algebra
| commutative algebra ||
| commutative algebra
| algèbre [f] commutative ||
| algèbre [f] commutative
| 可換環論 ||
| 可換環論
| か↑かんか↓んろん ||
| か↑かんか↓んろん
| 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 ||
| linear algebra
| algèbre [f] linéaire ||
| algèbre [f] linéaire
| 線型代数 ||
| 線型代数
| せ↑んけいだいす↓うがく ||
| せ↑んけいだいす↓うがく
| 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 ||
| multilinear algebra
| algèbre [f] multilinéaire ||
| algèbre [f] multilinéaire
| 多重線型代数 ||
| 多重線型代数
| た↑じゅうせんけいだいす↓う ||
| た↑じゅうせんけいだいす↓う
| 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 ||
| 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
| ふ↑へんだいすう↓がく，い↑っぱんだいすう↓がく ||
| ふ↑へんだいすう↓がく，い↑っぱんだいすう↓がく
| универса́льная а́лгебра ||
| универса́льная а́лгебра
|-
|-
| 同调代数 ||
| 同调代数
| tóngdiào dàishù ||
| tóngdiào dàishù
| homologische Algebra ||
| homologische Algebra
| homological 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
| ホ↑モロジ↓ーだいす↑うがく ||
| ホ↑モロジ↓ーだいす↑うがく
| гомологи́ческая а́лгебра ||
| гомологи́ческая а́лгебра
|-
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Revision as of 05:45, 28 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: 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
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
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
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: 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

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

Resource under a Public License

name language link
768px-Quadratic function graph key values.svg.png

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Sci–Tech Index

40px-3-4.svg.png Introduction

Philosophy

40px-1-4.svg.png Logic

40px-0-4.svg.png Metaphysics

Mathematics

40px-2-4.svg.png Mathematical Logic

40px-0-4.svg.png Category Theory


40px-2-4.svg.png Number Theory


40px-1-4.svg.png Algebra


40px-1-4.svg.png Geometry


40px-1-4.svg.png Probability Theory

40px-1-4.svg.png Statistics

40px-1-4.svg.png Information Theory


40px-1-4.svg.png Mathematical Analysis


40px-1-4.svg.png Topology

40px-1-4.svg.png Discrete Mathematics


40px-1-4.svg.png Computational Science

Physics

40px-1-4.svg.png Mechanics

└ 40px-1-4.svg.png Structural Analysis

└ 40px-1-4.svg.png Tribology

40px-1-4.svg.png Thermodynamics


40px-1-4.svg.png Optics


40px-1-4.svg.png Acoustics


40px-1-4.svg.png Electromagnetism

40px-1-4.svg.png Electronic Component


40px-0-4.svg.png Metrology

└ 40px-1-4.svg.png Unit of Measurement


40px-0-4.svg.png Particle Physics

Biology

40px-1-4.svg.png Cell Biology

Chemistry

40px-1-4.svg.png Chemical Element

40px-0-4.svg.png Material Science

└ 40px-0-4.svg.png Metallurgy

40px-0-4.svg.png Computer Science
40px-1-4.svg.png Technical Drawing
Mechanical Engineering

40px-0-4.svg.png Mechanism

40px-1-4.svg.png Machine Element

40px-1-4.svg.png Metalworking


40px-0-4.svg.png Hydraulics and Pneumatics


40px-1-4.svg.png Theory of Inventive Problem Solving

Software Engineering

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Systems Science

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