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Functional derivative and Smoothness

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

Difference between Functional derivative and Smoothness

Functional derivative vs. Smoothness

In the calculus of variations, a field of mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional to a change in a function on which the functional depends. In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

Similarities between Functional derivative and Smoothness

Functional derivative and Smoothness have 7 things in common (in Unionpedia): Banach space, Continuous function, Derivative, Function (mathematics), Manifold, Mathematical analysis, Partial derivative.

Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

Banach space and Functional derivative · Banach space and Smoothness · See more »

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 Functional derivative · Continuous function and Smoothness · 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 Functional derivative · Derivative and Smoothness · See more »

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Function (mathematics) and Functional derivative · Function (mathematics) and Smoothness · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Functional derivative and Manifold · Manifold and Smoothness · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Functional derivative and Mathematical analysis · Mathematical analysis and Smoothness · See more »

Partial derivative

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).

Functional derivative and Partial derivative · Partial derivative and Smoothness · See more »

The list above answers the following questions

Functional derivative and Smoothness Comparison

Functional derivative has 47 relations, while Smoothness has 71. As they have in common 7, the Jaccard index is 5.93% = 7 / (47 + 71).

References

This article shows the relationship between Functional derivative and Smoothness. To access each article from which the information was extracted, please visit:

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