Difference between revisions of "Language/Multiple-languages/Vocabulary/Algebra"

Revision as of 15:08, 20 November 2021

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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-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]
binary relation	relation <mathematical logic>	二元关系	èryuán guānxi	binäre Relation	relation [f] binaire
dependent variable	fraction; operand	因变量	yīn biànliàng	abhängige Variable
equation	equality <mathematical logic>; expression <mathematical logic>	方程, 等式	fāngchéng, děng shì	Gleichung [f]	équation [f]
even function	function
identity	equality <mathematical logic>
independent variable, argument of a function	function <mathematical logic>	自变量	zì biànliàng	unabhängige Variable
inequation	inequality <mathematical logic>	不等式	bùděng shì	Ungleichung [f]	inéquation [f]
linear equation	equation; coefficient
odd function	function
quadratic equation	equation; coefficient
variable	symbol <arithmetic>
unknown	variable

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>; arity; identity
field	set <set theory>; basic operations <arithmetic>, rational number <arithmetic>
identity element, neutral element	set <set theory>; binary operation <mathematical logic>
inverse element	set <mathematical logic>; 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	set <mathematical logic>
normal subgroup, invariant subgroup	subgroup; conjugation
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: ぜんたい	!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 *

Adjective & Adjective Phrase; Verb & Verb Phrase

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

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

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@@ Line 128: / Line 128: @@
 ! !rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
 |-
-| binary relation || relation (mathematics)
+| binary relation || relation <mathematical logic>
 | 二元关系 ||
 | èryuán guānxi ||
@@ Line 147: / Line 147: @@
 |  ||
 |-
-| equation || equality <arithmetic>; expression (mathematics) <arithmetic>
+| equation || equality <mathematical logic>; expression <mathematical logic>
 | 方程, 等式 ||
 | fāngchéng, děng shì ||
@@ Line 167: / Line 167: @@
 |  ||
 |-
-| function (mathematics) || binary relation; set (mathematics) <set theory>
+| identity || equality <mathematical logic>
-| 函数 ||
-| hán shù ||
-| Funktion [f] (Mathematik) ||
-| fonction [f]
-|  ||
-|  ||
-|  ||
-|  ||
-|-
-| identity (mathematics) || equality (mathematics) <arithmetic>
 |  ||
 |  ||
@@ Line 186: / Line 176: @@
 |  ||
 |-
-| independent variable, argument of a function || function (mathematics)
+| independent variable, argument of a function || function <mathematical logic>
 | 自变量 ||
 | zì biànliàng ||
@@ Line 195: / Line 185: @@
 |  ||
 |-
-| inequation || inequality (mathematics) <arithmetic>
+| inequation || inequality <mathematical logic>
 | 不等式 ||
 | bùděng shì ||
@@ Line 232: / Line 222: @@
 |  ||
 |-
-| relation (mathematics) || set (mathematics) <set theory>
+| variable || symbol <arithmetic>
-| 关系（数学） ||
-| guānxi (shù xué) ||
-| Relation [f] (Mathematik)
-|  ||
-|  ||
-|  ||
-|  ||
-|-
-| variable (mathematics) || symbol (mathematics) <arithmetic>
 |  ||
 |  ||
@@ Line 250: / Line 231: @@
 |  ||
 |-
-| unknown (mathematics) || variable (mathematics)
+| unknown || variable
 |  ||
 |  ||
@@ Line 280: / Line 261: @@
 ! !rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
 |-
-| algebraic structure || set (set theory) <set theory>; arity; identity (algebra)
+| algebraic structure || set <set theory>; arity; identity
 |  ||
 |  ||
@@ Line 289: / Line 270: @@
 |  ||
 |-
-| field (abstract algebra) || set (set theory) <set theory>; basic operations <arithmetic>, rational number <arithmetic>
+| field || set <set theory>; basic operations <arithmetic>, rational number <arithmetic>
 |  ||
 |  ||
@@ Line 299: / Line 280: @@
 |-
-| identity element, neutral element || set (set theory) <set theory>; binary operation <mathematical logic>
+| identity element, neutral element || set <set theory>; binary operation <mathematical logic>
 |  ||
 |  ||
@@ Line 309: / Line 290: @@
 |-
-| inverse element (abstract algebra) || set (set theory) <set theory>; additive inverse <arithmetic>; multiplicative inverse <arithmetic>
+| inverse element || set <mathematical logic>; additive inverse <arithmetic>; multiplicative inverse <arithmetic>
 |  ||
 |  ||
@@ Line 339: / Line 320: @@
 ! !rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
 |-
-| group (ring theory) || set (set theory) <set theory>
+| group || set <mathematical logic>
 |  ||
 |  ||
@@ Line 348: / Line 329: @@
 |  ||
 |-
-| normal subgroup, invariant subgroup || subgroup; conjugation (group theory)
+| normal subgroup, invariant subgroup || subgroup; conjugation
 |  ||
 |  ||
@@ Line 366: / Line 347: @@
 |  ||
 |-
-| subgroup (group theory) || group (group theory); binary operation <mathematical logic>
+| subgroup || group; binary operation <mathematical logic>
 |  ||
 |  ||
@@ Line 396: / Line 377: @@
 ! !rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
 |-
-| ring (ring theory) ||
+| ring ||
 |  ||
 |  ||

Difference between revisions of "Language/Multiple-languages/Vocabulary/Algebra"

Revision as of 15:08, 20 November 2021

Contents

Elementary Algebra