exponentiation group

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• Exponentiation — Exponent redirects here. For other uses, see Exponent (disambiguation). Exponentiation is a mathematical operation, written as an, involving two numbers, the base a and the exponent (or power) n. When n is a positive integer, exponentiation… …   Wikipedia

• Exponentiation by squaring — Exponentiating by squaring is an algorithm used for the fast computation of large integer powers of a number. It is also known as the square and multiply algorithm or binary exponentiation. In additive groups the appropriate name is double and… …   Wikipedia

• Lorentz group — Group theory Group theory …   Wikipedia

• Algebraic-group factorisation algorithm — Algebraic group factorisation algorithms are algorithms for factoring an integer N by working in an algebraic group defined modulo N whose group structure is the direct sum of the reduced groups obtained by performing the equations defining the… …   Wikipedia

• Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia

• Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …   Wikipedia

• Diffie–Hellman key exchange — (D–H)[nb 1] is a specific method of exchanging keys. It is one of the earliest practical examples of key exchange implemented within the field of cryptography. The Diffie–Hellman key exchange method allows two parties that have no prior knowledge …   Wikipedia

• Discrete logarithm — In mathematics, specifically in abstract algebra and its applications, discrete logarithms are group theoretic analogues of ordinary logarithms. In particular, an ordinary logarithm loga(b) is a solution of the equation ax = b over the… …   Wikipedia

• Multiplication — Multiply redirects here. For other uses, see Multiplication (disambiguation). For methods of computing products, including those of very large numbers, see Multiplication algorithm. Four bags of three marbles gives twelve marbles. There are also… …   Wikipedia

• Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …   Wikipedia

• Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… …   Wikipedia