Difference between revisions of "Language/Multiple-languages/Vocabulary/Algebra"
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Revision as of 12:39, 18 October 2021
This is a part of the Sci–Tech Index, a project for science and technology learners.
In progress.
| 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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| elementary algebra | |||||||||||||||
| abstract algebra | |||||||||||||||
| group theory | |||||||||||||||
| ring theory | |||||||||||||||
| category theory | |||||||||||||||
| commutative algebra | |||||||||||||||
| linear algebra | |||||||||||||||
| multilinear algebra | |||||||||||||||
| universal algebra, common algebra | |||||||||||||||
| homological algebra |
Elementary 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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| binary relation | relation (mathematics) | 二元关系 | èryuán guānxi | binäre Relation | relation [f] binaire | |||||||||||
| dependent variable | fraction; operand | 因变量 | yīn biànliàng | abhängige Variable | ||||||||||||
| equation | equality <arithmetic>; expression (mathematics) <arithmetic> | 方程, 等式 | fāngchéng, děng shì | Gleichung [f] | équation [f] | |||||||||||
| even function | function | |||||||||||||||
| function (mathematics) | binary relation; set (mathematics) <set theory> | 函数 | hán shù | Funktion [f] (Mathematik) | fonction [f] | |||||||||||
| identity (mathematics) | equality (mathematics) <arithmetic> | |||||||||||||||
| independent variable, argument of a function | function (mathematics) | 自变量 | zì biànliàng | unabhängige Variable | ||||||||||||
| inequation | inequality (mathematics) <arithmetic> | 不等式 | bùděng shì | Ungleichung [f] | inéquation [f] | |||||||||||
| linear equation | equation; coefficient | |||||||||||||||
| odd function | function | |||||||||||||||
| quadratic equation | equation; coefficient | |||||||||||||||
| relation (mathematics) | set (mathematics) <set theory> | 关系（数学） | guānxi (shù xué) | Relation [f] (Mathematik) | ||||||||||||
| variable (mathematics) | symbol (mathematics) <arithmetic> | |||||||||||||||
| unknown (mathematics) | variable (mathematics) |
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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| algebraic structure | set (set theory) <set theory>; arity; identity (algebra) | ||||||||||||||
| field (abstract algebra) | set (set theory) <set theory>; basic operations <arithmetic>, rational number <arithmetic> | ||||||||||||||
| identity element, neutral element | set (set theory) <set theory>; binary operation <mathematical logic> | ||||||||||||||
| inverse element (abstract algebra) | set (set theory) <set theory>; additive inverse <arithmetic>; multiplicative inverse <arithmetic> |
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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| group (ring theory) | set (set theory) <set theory> | ||||||||||||||
| normal subgroup, invariant subgroup | subgroup, conjugation (group theory) | ||||||||||||||
| semigroup | algebraic structure, associative property | ||||||||||||||
| subgroup (group theory) | group (group theory), 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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ring (ring theory) |
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: ぜんたい | !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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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: ぜんたい | !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: ぜんたい | !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: ぜんたい | !rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
* Appendix *
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 |
|---|---|---|---|---|---|---|---|---|
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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Related Free Educational Resources
| branch | name | link | language | public license |
|---|---|---|---|---|