- modulus of continuity
- мат. модуль непрерывности
Большой англо-русский и русско-английский словарь. 2001.
modulus of continuity
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Modulus of continuity — In mathematical analysis, a modulus of continuity is a function used to measure quantitatively the uniform continuity of functions. So, a function admits ω as a modulus of continuity if and only if for all x and y in the domain of f. Since moduli … Wikipedia
modulus of continuity — tolydumo modulis statusas T sritis fizika atitikmenys: angl. modulus of continuity vok. Kontinuitätsmodul, m rus. модуль непрерывности, m pranc. module de continuité, m … Fizikos terminų žodynas
Lévy's modulus of continuity — In mathematics, Lévy s modulus of continuity is a theorem that gives an almost sure estimate of the modulus of continuity for Brownian motion. It is due to the French mathematician Paul Pierre Lévy.tatement of the resultLet B : [0, 1] imes Omega… … Wikipedia
Modulus — may refer to: Modulus (gastropod) a genus of small sea snails Modulus (algebraic number theory), a formal product of places of a number field The absolute value of a real or complex number ( | a | ) Modular arithmetic, the modulus being the value … Wikipedia
Modulus and characteristic of convexity — In mathematics, the modulus and characteristic of convexity are measures of how convex the unit ball in a Banach space is. In some sense, the modulus of convexity has the same relationship to the ε δ definition of uniform convexity as the modulus … Wikipedia
Modulus of convergence — In real analysis, a branch of mathematics, a modulus of convergence is a function that tells how quickly a convergent sequence converges. These moduli are often employed in the study of computable analysis and constructive mathematics. If a… … Wikipedia
Lipschitz continuity — In mathematics, more specifically in real analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a smoothness condition for functions which is stronger than regular continuity. Intuitively, a Lipschitz continuous function is limited in… … Wikipedia
Dini continuity — In mathematical analysis, Dini continuity is a refinement of continuity. Contents 1 Definition 2 Properties 3 See also 4 References … Wikipedia
Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… … Wikipedia
Dini test — In mathematics, the Dini and Dini Lipschitz tests are highly precise tests that can be used to prove that the Fourier series of a function converges at a given point. These tests are named after Ulisse Dini and Rudolf Lipschitz.[1] Contents 1… … Wikipedia
Wiener process — In mathematics, the Wiener process is a continuous time stochastic process named in honor of Norbert Wiener. It is often called Brownian motion, after Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with… … Wikipedia
