- fundamental lemma
- мат.фундаментальная лемма
English-Russian scientific dictionary. 2008.
fundamental lemma
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Fundamental lemma of calculus of variations — In mathematics, specifically in the calculus of variations, the fundamental lemma in the calculus of variations is a lemma that is typically used to transform a problem from its weak formulation (variational form) into its strong formulation… … Wikipedia
Fundamental lemma of sieve theory — In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam Richert] Rp|92–93write:Common notationWe use these notations: * A is a set … Wikipedia
Fundamental theorem — In mathematics, there are a number of fundamental theorems for different fields. The names are mostly traditional; so that for example the fundamental theorem of arithmetic is basic to what would now be called number theory. Theorems may be… … Wikipedia
Fundamental theorem of algebra — In mathematics, the fundamental theorem of algebra states that every non constant single variable polynomial with complex coefficients has at least one complex root. Equivalently, the field of complex numbers is algebraically closed.Sometimes,… … Wikipedia
Ping-pong lemma — In mathematics, the ping pong lemma, or table tennis lemma, is any of several mathematical statements which ensure that several elements in a group acting on a set freely generate a free subgroup of that group.HistoryThe ping pong argument goes… … Wikipedia
Euclid's lemma — (Greek polytonic|λῆμμα ) is a generalization of Proposition 30 of Book VII of Euclid s Elements . The lemma states that:If a positive integer divides the product of two other positive integers, and the first and second integers are coprime, then… … Wikipedia
Céa's lemma — is a lemma in mathematics. It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations. Contents 1 Lemma statement 2 Error estimate in the energy norm 3 … Wikipedia
Diagonal lemma — In mathematical logic, the diagonal lemma or fixed point theorem establishes the existence of self referential sentences in certain formal theories of the natural numbers specifically those theories that are strong enough to represent all… … Wikipedia
Rising sun lemma — In mathematical analysis, the rising sun lemma is a lemma due to Frigyes Riesz, used in the proof of the Hardy Littlewood maximal theorem. The lemma quickly gives a proof of the one dimensional Calderón Zygmund lemma, a fundamental result in… … Wikipedia
Gauss's lemma (Riemannian geometry) — In Riemannian geometry, Gauss s lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every geodesic through the point. More formally, let M be a Riemannian manifold, equipped with its… … Wikipedia
Rasiowa-Sikorski lemma — In axiomatic set theory, the Rasiowa Sikorski lemma is one of the most fundamental facts used in the technique of forcing. In the area of forcing, a subset D of a forcing notion ( P , ≤) is called dense in P if for any p ∈ P there is d ∈ D with d … Wikipedia
