algebra
(noun) the mathematics of generalized arithmetical operations
Source: WordNet® 3.1
algebra (countable and uncountable, plural algebras)
(uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
(uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
(uncountable, mathematics) The study of algebraic structures.
(countable, mathematics) A universal algebra.
(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.
Synonyms: algebra over a field, algebra over a ring
(countable, set theory, 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).
Synonym: field of sets
(countable, mathematics) One of several other types of mathematical structure.
(figurative) 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.
• Labarge
Source: Wiktionary
Al"ge*bra, n. Etym: [LL. algebra, fr. Ar. al-jebr reduction of parts to a whole, or fractions to whole numbers, fr. jabara to bind together, consolidate; al-jebr w'almuqabalah reduction and comparison (by equations): cf. F. algèbre, It. & Sp. algebra.]
1. (Math.)
Definition: That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
2. A treatise on this science.
Source: Webster’s Unabridged Dictionary 1913 Edition
24 January 2025
(noun) a state of agitation or turbulent change or development; “the political ferment produced new leadership”; “social unrest”
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