algebra

IPA(Pronunciation)

/ˈæl.dʒɪ.bɹə/

Noun

uncountable historical rare countable figuratively

Japanese Meaning

数学の代数学：文字や記号を用いて数や式の関係を示し、その操作規則に従って計算を行う体系

What is this buttons?

Algebra provides a framework for solving equations by using letters and symbols to represent numbers.

Google Translation / DeepL Translation

代数は、数を表す文字や記号を使って方程式を解くための枠組みを提供する。

Details

Sense（1）

Details

Sense（2）

(uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.

Ne take noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.

Google Translation / DeepL Translation

Details

Sense（3）

(uncountable, mathematics) The study of algebraic structures.

Sense（4）

(countable, mathematics) A universal algebra.

Sense（5）

(countable, algebra) An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.

In mathematics, a Lie algebra (pronounced /liː/ "Lee") is a vector space g together with a non-associative, alternating bilinear map g⨯g→g;(x,y)↦[x,y], called the Lie bracket, satisfying the Jacobi identity.

Google Translation / DeepL Translation

Details

Sense（6）

(countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).

Sense（7）