selection theorem
1Michael selection theorem — In functional analysis, a branch of mathematics, the most popular version of the Michael selection theorem, named after Ernest Michael, states the following: Let E be a Banach space, X a paracompact space and φ : X → E a lower semicontinuous …
2Fraňková-Helly selection theorem — In mathematics, the Fraňková Helly selection theorem is a generalisation of Helly s selection theorem for functions of bounded variation to the case of regulated functions. It was proved in 1991 by the Czech mathematician Dana… …
3Helly's selection theorem — In mathematics, Helly s selection theorem states that a sequence of functions that is locally of bounded total variation and uniformly bounded at a point has a convergent subsequence. In other words, it is a compactness theorem for the space… …
4Blaschke selection theorem — The Blaschke selection theorem is a result in topology about sequences of convex sets. Specifically, given a sequence {K n} of convex sets contained in a bounded set, the theorem guarantees the existence of a subsequence {K {n m}} and a convex… …
5Sélection de groupe — Les mécanismes de l évolution biologique Mécanismes non aléatoires : sélection naturelle sélection de survie sélection sexuelle sélection de parentèle sélection de groupe sélection s …
6Arzelà–Ascoli theorem — In mathematics, the Arzelà–Ascoli theorem of functional analysis gives necessary and sufficient conditions to decide whether every subsequence of a given sequence of real valued continuous functions defined on a closed and bounded interval has a… …
7Mahler's compactness theorem — In mathematics, Mahler s compactness theorem, proved by Kurt Mahler (1946), is a foundational result on lattices in Euclidean space, characterising sets of lattices that are bounded in a certain definite sense. Looked at another way, it… …
8Rellich-Kondrachov theorem — In mathematics, the Rellich Kondrachov theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Italian Austrian mathematician Franz Rellich. tatement of the theoremLet Ω ⊆ R n be an open, bounded Lipschitz domain,… …
9Fisher's fundamental theorem of natural selection — In population genetics, R. A. Fisher s fundamental theorem of natural selection was originally stated as:: The rate of increase in fitness of any organism at any time is equal to its genetic variance in fitness at that time. Fisher, R.A. (1930)… …
10Infinite monkey theorem — Not to be confused with Hundredth monkey effect. Given enough time, a hypothetical monkey typing at random would, as part of its output, almost surely produce all of Shakespeare s plays. In this image a chimpanzee is giving it a try. The infinite …
