Algebra

2017-07-27T17:48:52+03:00[Europe/Moscow] en true Operator (mathematics), Algebra, Algebraic integer, Boolean algebra, Exponentiation, Group representation, Square (algebra), Operand, Filtration (mathematics), Determinant, Elementary algebra, Nth root, Factorization of polynomials, Gelfand–Naimark theorem, Partial fraction decomposition, Closed-form expression, Algebraic solution, Primitive part and content, Goursat's lemma, Outline of algebra flashcards Algebra
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  • Operator (mathematics)
    An operator is a mapping from one vector space or module to another.
  • Algebra
    Algebra (from Arabic "al-jabr" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.
  • Algebraic integer
    In Algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in (the set of integers).
  • Boolean algebra
    In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.
  • Exponentiation
    Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent n.
  • Group representation
    In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication.
  • Square (algebra)
    In mathematics, a square is the result of multiplying a number by itself.
  • Operand
    In mathematics, an operand is the object of a mathematical operation, a quantity on which an operation is performed.
  • Filtration (mathematics)
    In mathematics, a filtration is an indexed set Si of subobjects of a given algebraic structure S, with the index i running over some index set I that is a totally ordered set, subject to the condition that if i ≤ j in I, then Si ⊆ Sj.
  • Determinant
    In linear algebra, the determinant is a useful value that can be computed from the elements of a square matrix.
  • Elementary algebra
    Elementary algebra encompasses some of the basic concepts of algebra, one of the main branches of mathematics.
  • Nth root
    In mathematics, an nth root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x where n is the degree of the root.
  • Factorization of polynomials
    In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.
  • Gelfand–Naimark theorem
    In mathematics, the Gelfand–Naimark theorem states that an arbitrary C*-algebra A is isometrically *-isomorphic to a C*-algebra of bounded operators on a Hilbert space.
  • Partial fraction decomposition
    In algebra, the partial fraction decomposition or partial fraction expansion of a rational function (that is a fraction such that the numerator and the denominator are both polynomials) is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.
  • Closed-form expression
    In mathematics, a closed-form expression is a mathematical expression that can be evaluated in a finite number of operations.
  • Algebraic solution
    An algebraic solution or solution in radicals is a closed form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of nth roots (square roots, cube roots, and other integer roots).
  • Primitive part and content
    In algebra, the content of a polynomial with integer coefficients (or, more generally, with coefficients in a unique factorization domain) is the greatest common divisor of its coefficients.
  • Goursat's lemma
    Goursat's lemma, named after the French mathematician Édouard Goursat, is an algebraic theorem about subgroups of the direct product of two groups.
  • Outline of algebra
    The following outline is provided as an overview of and topical guide to algebra: Algebra is one of the main branches of mathematics.
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