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Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
The fundamental theorem of algebra, also called d'Alembert's theorem [1] or the d'Alembert–Gauss theorem, [2] states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.
Two-dimensional plot (red curve) of the algebraic equation =. [1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra.
A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.).
The term "algebraic equation" dates from the time when the main problem of algebra was to solve univariate polynomial equations. This problem was completely solved during the 19th century; see Fundamental theorem of algebra, Abel–Ruffini theorem and Galois theory.
The Fano matroid, derived from the Fano plane.Matroids are one of many kinds of objects studied in algebraic combinatorics. Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra.
Algebraic notation. Algebraic notation is the standard method of chess notation, used for recording and describing moves.It is based on a system of coordinates to uniquely identify each square on the board. [1]
"Aljabar" is the Indonesian word for algebra, which was founded by a Muslim. Coincidentally, "Jabar" is also an acronym for Jawa Barat and a nickname for the province of West Java ; thus, the name Masjid Al Jabbar or Al Jabar can also be translated as "Mosque in West Java" or "West Java Mosque".