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Functional derivative

In the calculus of variations, a field of mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional (a functional in this sense is a function that acts on functions) to a change in a function on which the functional depends.

Determining functional derivatives, Overview & Definition

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Definition

Determining functional derivatives

Using the delta function as a test function

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Functional derivative

Nodes43
Edges42
Triples100
Avg. degree1.95
Density0.046512
Components1

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Functional derivative

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related to References · 70
Functional derivative → Appendix, Atoms, Berlin, Bromley, Béla, Calculus, Chapter IV, Courant, Date, David, Density-Functional Theory, Department, Dover Publications, Electrical Engineering, Field, First English, Fomin, Frigyik, Functional, Functional Derivatives
related to Functional derivative · 8
Functional derivative → Comparing, Hence, Heuristically, If, In, Omega, One, This
related to Properties · 6
Functional derivative → Chain, FG, If, Like, Linearity, Product
related to Determining functional derivatives · 5
Functional derivative → Euler, Lagrange, Lagrangian, The, This
related to External links · 4
Functional derivative → EMS Press, Encyclopedia, Functional, Mathematics
related to Using the delta function as a test function · 4
Functional derivative → Dirac, In, The, This
related to Definition · 2
Functional derivative → In, Then

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functional displaystyle rho delta frac derivative function int phi left right boldsymbol partial derivatives varepsilon cdot begin aligned end dx

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SubjectPredicateObjectConfidenceSrc
the delta functioninstance ofis chosen to be a specific function0.80text
Functional derivativerelated to DefinitionIn0.60section
Functional derivativerelated to DefinitionThen0.60section
Functional derivativerelated to Determining functional derivativesThis0.60section
Functional derivativerelated to Determining functional derivativesEuler0.60section
Functional derivativerelated to Determining functional derivativesLagrange0.60section
Functional derivativerelated to Determining functional derivativesLagrangian0.60section
Functional derivativerelated to Determining functional derivativesThe0.60section
Functional derivativerelated to External linksFunctional0.60section
Functional derivativerelated to External linksEncyclopedia0.60section
Functional derivativerelated to External linksMathematics0.60section
Functional derivativerelated to External linksEMS Press0.60section

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