basic result
81Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… …
82Carl Gustav Jacob Jacobi — Carl Jacobi Carl Gustav Jacob Jacobi Born December 10, 1804(1804 …
83Joseph Liouville — Infobox Scientist name =Joseph Liouville box width = image width =150px caption =Joseph Liouville birth date = March 24 1809 birth place = death date = September 8 1882 death place = residence = citizenship = nationality = French ethnicity =… …
84Dirichlet's unit theorem — In mathematics, Dirichlet s unit theorem is a basic result in algebraic number theory due to Gustav Lejeune Dirichlet.[1] It determines the rank of the group of units in the ring OK of algebraic integers of a number field K. The regulator is a… …
85Closed graph theorem — In mathematics, the closed graph theorem is a basic result in functional analysis which characterizes continuous linear operators between Banach spaces in terms of the operator graph. Contents 1 The closed graph theorem 2 Generalization 3 See… …
86Curve of constant width — A Reuleaux triangle is a curve of constant width. The sides of the square are supporting lines: each touches the curve but does not intersect the interior. The Reuleaux triangle can be rotated whilst always touching each side of the square in a… …
87Barbier's theorem — is a basic result on curves of constant width first proved by Joseph Emile Barbier. The most familiar examples of curves of constant width are the circle and the Reuleaux triangle. A circle of width (diameter) w has perimeter π w . A Reuleaux… …
88Trigonometric polynomial — In the mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin(nx) and cos(nx) with n a natural number. The coefficients may be taken as real numbers, for… …
89Hurewicz theorem — In mathematics, the Hurewicz theorem is a basic result of algebraic topology, connecting homotopy theory with homology theory via a map known as the Hurewicz homomorphism. The theorem is named after Witold Hurewicz, and generalizes earlier… …
90Chowla–Selberg formula — In mathematics, the Chowla–Selberg formula is the evaluation of a certain product of values of the Gamma function at rational values. The name comes from a 1967 joint paper of Chowla and Selberg.[1] The basic result was already in much earlier… …
