Calculus of variations and Legendre transformation

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

Difference between Calculus of variations and Legendre transformation

Calculus of variations vs. Legendre transformation

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. In mathematics and physics, the Legendre transformation, named after Adrien-Marie Legendre, is an involutive transformation on the real-valued convex functions of one real variable.

Similarities between Calculus of variations and Legendre transformation

Calculus of variations and Legendre transformation have 6 things in common (in Unionpedia): Adrien-Marie Legendre, Derivative, Domain of a function, Hamiltonian mechanics, Integration by parts, Real number.

Adrien-Marie Legendre

Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.

Adrien-Marie Legendre and Calculus of variations · Adrien-Marie Legendre and Legendre transformation · 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).

Calculus of variations and Derivative · Derivative and Legendre transformation · See more »

Domain of a function

In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.

Calculus of variations and Domain of a function · Domain of a function and Legendre transformation · See more »

Hamiltonian mechanics

Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.

Calculus of variations and Hamiltonian mechanics · Hamiltonian mechanics and Legendre transformation · See more »

Integration by parts

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.

Calculus of variations and Integration by parts · Integration by parts and Legendre transformation · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Calculus of variations and Real number · Legendre transformation and Real number · See more »

The list above answers the following questions

What Calculus of variations and Legendre transformation have in common
What are the similarities between Calculus of variations and Legendre transformation

Calculus of variations and Legendre transformation Comparison

Calculus of variations has 117 relations, while Legendre transformation has 80. As they have in common 6, the Jaccard index is 3.05% = 6 / (117 + 80).

References

This article shows the relationship between Calculus of variations and Legendre transformation. To access each article from which the information was extracted, please visit:

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