- equicontinuous
- yhtäjatkuva (1. pisteittäin 2. tasaisesti)

*English-Finnish mathematical dictionary.
2011.*

- equicontinuous
- yhtäjatkuva (1. pisteittäin 2. tasaisesti)

*English-Finnish mathematical dictionary.
2011.*

**equicontinuous**— adjective Describing a neighbourhood of functions, all of which are continuous See Also: equicontinuity … Wiktionary**Equicontinuity**— In mathematical analysis, a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood (a precise definition appears below). More generally, equicontinuous applies to any… … Wikipedia**Arzelà–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… … Wikipedia**Uniform boundedness principle**— In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones… … Wikipedia**Polar topology**— In functional analysis and related areas of mathematics a polar topology, topology of mathcal{A} convergence or topology of uniform convergence on the sets of mathcal{A} is a method to define locally convex topologies on the vector spaces of a… … Wikipedia**Uniform convergence**— In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… … Wikipedia**Maximum likelihood**— In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model. When applied to a data set and given a statistical model, maximum likelihood estimation provides estimates for the model s… … Wikipedia**Mercer's theorem**— In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… … Wikipedia**Reverse mathematics**— is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… … Wikipedia**List of real analysis topics**— This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods … Wikipedia**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