English Dictionary

algebra

IPA（発音記号）

/ˈæl.dʒɪ.bɹə/

名詞

不可算名詞 歴史的 稀用 可算名詞 比喩的用法

(uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

日本語の意味

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

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

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。

意味（1）

(uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.

意味（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.

意味（3）

(uncountable, mathematics) The study of algebraic structures.

意味（4）

(countable, mathematics) A universal algebra.

意味（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.

意味（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).

意味（7）

(countable, mathematics) One of several other types of mathematical structure.

意味（8）

(figuratively) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.

Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?

algebras （ plural ）