Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Calculus_of_variations> ?p ?o }
- Calculus_of_variations abstract "Calculus of variations is a field of mathematical analysis that deals with maximizing or minimizing functionals, which are mappings from a set of functions to the real numbers. Functionals are often expressed as definite integrals involving functions and their derivatives. The interest is in extremal functions that make the functional attain a maximum or minimum value – or stationary functions – those where the rate of change of the functional is zero.A simple example of such a problem is to find the curve of shortest length connecting two points. If there are no constraints, the solution is obviously a straight line between the points. However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist. Such solutions are known as geodesics. A related problem is posed by Fermat's principle: light follows the path of shortest optical length connecting two points, where the optical length depends upon the material of the medium. One corresponding concept in mechanics is the principle of least action.Many important problems involve functions of several variables. Solutions of boundary value problems for the Laplace equation satisfy the Dirichlet principle. Plateau's problem requires finding a surface of minimal area that spans a given contour in space: a solution can often be found by dipping a frame in a solution of soap suds. Although such experiments are relatively easy to perform, their mathematical interpretation is far from simple: there may be more than one locally minimizing surface, and they may have non-trivial topology.".
- Calculus_of_variations wikiPageExternalLink books?id=yQCFAAAAIAAJ&pg=PA58.
- Calculus_of_variations wikiPageExternalLink geodesic_fields_-_pt._1.pdf.
- Calculus_of_variations wikiPageExternalLink geodesic_fields_-_pt._2.pdf.
- Calculus_of_variations wikiPageExternalLink text-idx?c=umhistmath;idno=ACM2513.
- Calculus_of_variations wikiPageExternalLink Calculus_of_Variations.
- Calculus_of_variations wikiPageExternalLink bookindex.html.
- Calculus_of_variations wikiPageExternalLink Chapter8-b.htm.
- Calculus_of_variations wikiPageExternalLink 3527411887_c17.pdf.
- Calculus_of_variations wikiPageExternalLink ?sID=nrgsqk516u2v9ffab8u7io1dq4.
- Calculus_of_variations wikiPageExternalLink p967_chap01.pdf.
- Calculus_of_variations wikiPageExternalLink p967.
- Calculus_of_variations wikiPageExternalLink 2up.
- Calculus_of_variations wikiPageExternalLink An_Introduction_to_the_Calculus_of_Varia.html?id=PV2IovCWTcYC.
- Calculus_of_variations wikiPageExternalLink Calculus_of_variations.html?id=qTnvAAAAMAAJ.
- Calculus_of_variations wikiPageExternalLink Introduction_to_the_Calculus_of_Variatio.html?id=abhS8PgpBskC.
- Calculus_of_variations wikiPageExternalLink books?id=6wSVuWH1PrsC.
- Calculus_of_variations wikiPageExternalLink books?id=GCDSBwAAQBAJ.
- Calculus_of_variations wikiPageExternalLink books?id=MAU_AwAAQBAJ.
- Calculus_of_variations wikiPageExternalLink books?id=QN8Iw7fUA-8C.
- Calculus_of_variations wikiPageExternalLink books?id=_T3ez-32YVsC.
- Calculus_of_variations wikiPageExternalLink books?id=nUk_AQAAIAAJ.
- Calculus_of_variations wikiPageExternalLink books?id=pNHFJTKixisC.
- Calculus_of_variations wikiPageID "171882".
- Calculus_of_variations wikiPageLength "47427".
- Calculus_of_variations wikiPageOutDegree "137".
- Calculus_of_variations wikiPageRevisionID "705171200".
- Calculus_of_variations wikiPageWikiLink Adrien-Marie_Legendre.
- Calculus_of_variations wikiPageWikiLink Alfred_Clebsch.
- Calculus_of_variations wikiPageWikiLink Arc_length.
- Calculus_of_variations wikiPageWikiLink Archimedes.
- Calculus_of_variations wikiPageWikiLink Augustin-Louis_Cauchy.
- Calculus_of_variations wikiPageWikiLink Beltrami_identity.
- Calculus_of_variations wikiPageWikiLink Brachistochrone_curve.
- Calculus_of_variations wikiPageWikiLink Calculus_of_variations.
- Calculus_of_variations wikiPageWikiLink Carl_Friedrich_Gauss.
- Calculus_of_variations wikiPageWikiLink Carl_Gustav_Jacob_Jacobi.
- Calculus_of_variations wikiPageWikiLink Carll.
- Calculus_of_variations wikiPageWikiLink Category:Calculus_of_variations.
- Calculus_of_variations wikiPageWikiLink Category:Mathematical_optimization.
- Calculus_of_variations wikiPageWikiLink Catenary.
- Calculus_of_variations wikiPageWikiLink Central_tendency.
- Calculus_of_variations wikiPageWikiLink Chaplygin_problem.
- Calculus_of_variations wikiPageWikiLink Constant_(mathematics).
- Calculus_of_variations wikiPageWikiLink Convenient_vector_space.
- Calculus_of_variations wikiPageWikiLink Converse_(logic).
- Calculus_of_variations wikiPageWikiLink David_Hilbert.
- Calculus_of_variations wikiPageWikiLink De_Donder–Weyl_theory.
- Calculus_of_variations wikiPageWikiLink Derivative.
- Calculus_of_variations wikiPageWikiLink Direct_method_in_the_calculus_of_variations.
- Calculus_of_variations wikiPageWikiLink Dirichlets_principle.
- Calculus_of_variations wikiPageWikiLink Domain_of_a_function.
- Calculus_of_variations wikiPageWikiLink Dynamic_programming.
- Calculus_of_variations wikiPageWikiLink Ekelands_variational_principle.
- Calculus_of_variations wikiPageWikiLink Elliptic_partial_differential_equation.
- Calculus_of_variations wikiPageWikiLink Emmy_Noether.
- Calculus_of_variations wikiPageWikiLink Euler–Lagrange_equation.
- Calculus_of_variations wikiPageWikiLink Fermat_Prize.
- Calculus_of_variations wikiPageWikiLink Fermats_principle.
- Calculus_of_variations wikiPageWikiLink First-order_partial_differential_equation.
- Calculus_of_variations wikiPageWikiLink First_variation.
- Calculus_of_variations wikiPageWikiLink Function_(mathematics).
- Calculus_of_variations wikiPageWikiLink Function_space.
- Calculus_of_variations wikiPageWikiLink Functional_(mathematics).
- Calculus_of_variations wikiPageWikiLink Functional_analysis.
- Calculus_of_variations wikiPageWikiLink Functional_derivative.
- Calculus_of_variations wikiPageWikiLink Fundamental_lemma_of_calculus_of_variations.
- Calculus_of_variations wikiPageWikiLink Geodesic.
- Calculus_of_variations wikiPageWikiLink Gottfried_Wilhelm_Leibniz.
- Calculus_of_variations wikiPageWikiLink Guillaume_de_lHxc3xb4pital.
- Calculus_of_variations wikiPageWikiLink Hamiltonian_mechanics.
- Calculus_of_variations wikiPageWikiLink Hamiltonian_optics.
- Calculus_of_variations wikiPageWikiLink Hamiltons_principle.
- Calculus_of_variations wikiPageWikiLink Hamilton–Jacobi_equation.
- Calculus_of_variations wikiPageWikiLink Henri_Lebesgue.
- Calculus_of_variations wikiPageWikiLink Hilberts_problems.
- Calculus_of_variations wikiPageWikiLink Hilberts_twentieth_problem.
- Calculus_of_variations wikiPageWikiLink Hilberts_twenty-third_problem.
- Calculus_of_variations wikiPageWikiLink Hu_Washizu_principle.
- Calculus_of_variations wikiPageWikiLink Infinite-dimensional_optimization.
- Calculus_of_variations wikiPageWikiLink Integral.
- Calculus_of_variations wikiPageWikiLink Integration_by_parts.
- Calculus_of_variations wikiPageWikiLink Inverse_problem_for_Lagrangian_mechanics.
- Calculus_of_variations wikiPageWikiLink Isaac_Newton.
- Calculus_of_variations wikiPageWikiLink Isoperimetric_inequality.
- Calculus_of_variations wikiPageWikiLink Jacob_Bernoulli.
- Calculus_of_variations wikiPageWikiLink Jacques_Hadamard.
- Calculus_of_variations wikiPageWikiLink Johann_Bernoulli.
- Calculus_of_variations wikiPageWikiLink John_Hewitt_Jellett.
- Calculus_of_variations wikiPageWikiLink Joseph-Louis_Lagrange.
- Calculus_of_variations wikiPageWikiLink Karl_Weierstrass.
- Calculus_of_variations wikiPageWikiLink Kinetic_energy.
- Calculus_of_variations wikiPageWikiLink Laplaces_equation.
- Calculus_of_variations wikiPageWikiLink Legendre_transformation.
- Calculus_of_variations wikiPageWikiLink Leonhard_Euler.
- Calculus_of_variations wikiPageWikiLink Leonida_Tonelli.
- Calculus_of_variations wikiPageWikiLink Lev_Pontryagin.
- Calculus_of_variations wikiPageWikiLink Louisiana_State_University.
- Calculus_of_variations wikiPageWikiLink Lukes_variational_principle.
- Calculus_of_variations wikiPageWikiLink Map_(mathematics).