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Lipschitz continuity and Mean value theorem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Lipschitz continuity and Mean value theorem

Lipschitz continuity vs. Mean value theorem

In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions. In mathematics, the mean value theorem states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints.

Similarities between Lipschitz continuity and Mean value theorem

Lipschitz continuity and Mean value theorem have 4 things in common (in Unionpedia): Continuous function, Derivative, Differentiable function, Uniform continuity.

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Continuous function and Lipschitz continuity · Continuous function and Mean value theorem · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Lipschitz continuity · Derivative and Mean value theorem · See more »

Differentiable function

In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.

Differentiable function and Lipschitz continuity · Differentiable function and Mean value theorem · See more »

Uniform continuity

In mathematics, a function f is uniformly continuous if, roughly speaking, it is possible to guarantee that f(x) and f(y) be as close to each other as we please by requiring only that x and y are sufficiently close to each other; unlike ordinary continuity, the maximum distance between f(x) and f(y) cannot depend on x and y themselves.

Lipschitz continuity and Uniform continuity · Mean value theorem and Uniform continuity · See more »

The list above answers the following questions

Lipschitz continuity and Mean value theorem Comparison

Lipschitz continuity has 54 relations, while Mean value theorem has 58. As they have in common 4, the Jaccard index is 3.57% = 4 / (54 + 58).

References

This article shows the relationship between Lipschitz continuity and Mean value theorem. To access each article from which the information was extracted, please visit:

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