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geometric properties

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  • Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… …   Wikipedia

  • Geometric function theory — is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem …   Wikipedia

  • Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… …   Wikipedia

  • Geometric integrator — In the mathematical field of numerical ODEs, a geometric integrator is a numerical method that preserves geometric properties of the exact flow of a differential equation.Pendulum exampleWe can motivate the study of geometric integrators by… …   Wikipedia

  • Geometric measure theory — In mathematics, geometric measure theory (GMT) is the study of the geometric properties of the measures of sets (typically in Euclidean spaces), including such things as arc lengths and areas. It has applications in image processing.Deep results… …   Wikipedia

  • Geometric stable distribution — Geometric Stable parameters: α ∈ (0,2] stability parameter β ∈ [−1,1] skewness parameter (note that skewness is undefined) λ ∈ (0, ∞) scale parameter μ ∈ (−∞, ∞) location parameter support: x ∈ R, or x ∈ [μ, +∞) if α < 1 and β = 1, or x ∈… …   Wikipedia

  • Geometric dimensioning and tolerancing — (GD T) is a system for defining and communicating engineering tolerances. It uses a symbolic language on engineering drawings and computer generated three dimensional solid models for explicitly describing nominal geometry and its allowable… …   Wikipedia

  • Geometric and material buckling — In a nuclear reactor, criticality is achieved when the rate of neutron production is equal to the rate of neutron losses, including both neutron absorption and neutron leakage. Geometric buckling is a measure of neutron leakage, while material… …   Wikipedia

  • Geometric progression — In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called the common ratio . For example, the… …   Wikipedia

  • Geometric mean — The geometric mean, in mathematics, is a type of mean or average, which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean, which is what most people think of with the word average, except… …   Wikipedia

  • Geometric median — The geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one… …   Wikipedia

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