- continuous function
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a) a function whose value changes only slightly when its input changes slightlyb) a function from one topological space to another, such that the inverse image of any open set is open
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continuous function
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Continuous 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 … Wikipedia
continuous function — Math. 1. (loosely) a mathematical function such that a small change in the independent variable, or point of the domain, produces only a small change in the value of the function. 2. (at a point in its domain) a function that has a limit equal to … Useful english dictionary
Continuous function (topology) — In topology and related areas of mathematics a continuous function is a morphism between topological spaces. Intuitively, this is a function f where a set of points near f(x) always contain the image of a set of points near x . For a general… … Wikipedia
Continuous function (set theory) — In mathematics, specifically set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits (limit suprema and limit infima) of all values at previous stages. More formally, let γ be an… … Wikipedia
Continuous Function Chart — Der Continuous Function Chart ist eine Programmiersprache für Speicherprogrammierbarer Steuerungen (SPS). Obwohl sie keine der in der IEC 61131 3 Norm definierten Sprachen ist, stellt sie eine gängige Erweiterung von IEC Programmierumgebungen dar … Deutsch Wikipedia
continuous function — Math. 1. (loosely) a mathematical function such that a small change in the independent variable, or point of the domain, produces only a small change in the value of the function. 2. (at a point in its domain) a function that has a limit equal to … Universalium
Cauchy-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)… … Wikipedia
Nowhere continuous function — In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere… … Wikipedia
Quasi-continuous function — In mathematics, a quasi continuous function is a function which is continuous only for a limited range of input values.Fact|date=October 2007 … Wikipedia
Continuous wavelet transform — of frequency breakdown signal. Used symlet with 5 vanishing moments. A continuous wavelet transform (CWT) is used to divide a continuous time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability … Wikipedia
