Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

Fundamental lemma of calculus of variations and Integration by parts

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

Difference between Fundamental lemma of calculus of variations and Integration by parts

Fundamental lemma of calculus of variations vs. Integration by parts

In mathematics, specifically in the calculus of variations, a variation of a function can be concentrated on an arbitrarily small interval, but not a single point. In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of their derivative and antiderivative.

Similarities between Fundamental lemma of calculus of variations and Integration by parts

Fundamental lemma of calculus of variations and Integration by parts have 8 things in common (in Unionpedia): Absolute continuity, Calculus of variations, Differentiable function, Euler–Lagrange equation, Lebesgue integration, Locally integrable function, Piecewise, Smoothness.

Absolute continuity

In calculus, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity.

Absolute continuity and Fundamental lemma of calculus of variations · Absolute continuity and Integration by parts · See more »

Calculus of variations

Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

Calculus of variations and Fundamental lemma of calculus of variations · Calculus of variations and Integration by parts · 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 Fundamental lemma of calculus of variations · Differentiable function and Integration by parts · See more »

Euler–Lagrange equation

In the calculus of variations, the Euler–Lagrange equation, Euler's equation, or Lagrange's equation (although the latter name is ambiguous—see disambiguation page), is a second-order partial differential equation whose solutions are the functions for which a given functional is stationary.

Euler–Lagrange equation and Fundamental lemma of calculus of variations · Euler–Lagrange equation and Integration by parts · See more »

Lebesgue integration

In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the -axis.

Fundamental lemma of calculus of variations and Lebesgue integration · Integration by parts and Lebesgue integration · See more »

Locally integrable function

In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition.

Fundamental lemma of calculus of variations and Locally integrable function · Integration by parts and Locally integrable function · See more »

Piecewise

In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain, a sub-domain.

Fundamental lemma of calculus of variations and Piecewise · Integration by parts and Piecewise · See more »

Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

Fundamental lemma of calculus of variations and Smoothness · Integration by parts and Smoothness · See more »

The list above answers the following questions

Fundamental lemma of calculus of variations and Integration by parts Comparison

Fundamental lemma of calculus of variations has 26 relations, while Integration by parts has 68. As they have in common 8, the Jaccard index is 8.51% = 8 / (26 + 68).

References

This article shows the relationship between Fundamental lemma of calculus of variations and Integration by parts. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »