uniformly continuous set
1Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
2Uniformly Cauchy sequence — In mathematics, a sequence of functions {f {n}} from a set S to a metric space M is said to be uniformly Cauchy if:* For all xin S and for all varepsilon > 0, there exists N>0 such that d(f {n}(x), f {m}(x)) < varepsilon whenever m, n > N.Another …
3Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… …
4Cauchy-continuous function — In mathematics, a Cauchy continuous, or Cauchy regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy continuous functions have the useful property that they can always be (uniquely)… …
5Uniform distribution (continuous) — Uniform Probability density function Using maximum convention Cumulative distribution function …
6Dense set — In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if any point x in X belongs to A or is a limit point of A.[1] Informally, for every point in X, the point is either in A or arbitrarily close …
7Harmonious set — In mathematics, a harmonious set is a subset of a locally compact abelian group on which every weak character may be uniformly approximated by strong characters. Equivalently, a suitably defined dual set is relatively dense in the Pontryagin dual …
8Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… …
9Modulus 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 …
10Uniform space — In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with additional structure which is used to define uniform properties such as completeness, uniform continuity and… …
