continuous function

  • 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 …

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  • 2continuous 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 …

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  • 3Continuous 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… …

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  • 4Continuous 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… …

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  • 5Continuous 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 …

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  • 6continuous 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 …

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  • 7continuous function — noun a) a function whose value changes only slightly when its input changes slightly b) a function from one topological space to another, such that the inverse image of any open set is open …

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  • 8Cauchy-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)… …

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  • 9Nowhere 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… …

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  • 10Quasi-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 …

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