uniqueness theorem
1Uniqueness theorem — In mathematics, uniqueness theorems are theorems stating that only one mathematical object satisfies specified conditions. Some uniqueness theorems state that, given certain types of initial data, the solution to a given equation (e.g. a partial… …
2uniqueness theorem — noun : a theorem in mathematics: a given problem has at most one solution …
3Cauchy's theorem (geometry) — Cauchy s theorem is a theorem in geometry, named after Augustin Cauchy. It states that convex polytopes with congruent corresponding faces are congruent. This is a foundational result in rigidity theory. tatementLet P, Q subset Bbb R^3 be… …
4Carlson's theorem — In mathematics, in the area of complex analysis, Carlson s theorem is a uniqueness theorem about a summable expansion of an analytic function. It is typically invoked to defend the uniqueness of a Newton series expansion. Carlson s theorem has… …
5Green's theorem — In physics and mathematics, Green s theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C . It is the two dimensional special case of the more general… …
6Doob–Meyer decomposition theorem — The Doob–Meyer decomposition theorem is a theorem in stochastic calculus stating the conditions under which a submartingale may be decomposed in a unique way as the sum of a martingale and a continuous increasing process. It is named for J. L.… …
7Cauchy–Kowalevski theorem — In mathematics, the Cauchy–Kowalevski theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proved by harvs|authorlink=Augustin… …
8Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …
9Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of …
10Fundamental theorem of arithmetic — In number theory, the fundamental theorem of arithmetic (or unique prime factorization theorem) states that every natural number greater than 1 can be written as a unique product of prime numbers. For instance, : 6936 = 2^3 imes 3 imes 17^2 , ,! …
