calculus of variations


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calculus of variations

n.
Mathematical analysis of the maxima and minima of definite integrals, the integrands of which are functions of independent variables, dependent variables, and the derivatives of one or more dependent variables.

calculus of variations

n
(Mathematics) a branch of calculus concerned with maxima and minima of definite integrals
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.calculus of variations - the calculus of maxima and minima of definite integrals
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
infinitesimal calculus, calculus - the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
Translations
Variační počet
Variationsrechnung
cálculo de variaciones
حسابان وردش‌ها
Calcul des variations
חשבון וריאציות
Calcolo delle variazioni
変分法
Rachunek wariacyjny
Variacijski račun
Варіаційне числення
References in periodicals archive ?
Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems.
Marzocchi, On the Euler-Lagrange equation for functional of the Calculus of Variations without upper growth conditions, SIAM J.
Zellner: Yes, I learned about the calculus of variations in my physics and math courses with many applications.
Recently several authors have contributed to the development of the calculus of variations on time scales (for instance, see [3,11,12]).
Project 2: Calculus of variations, Brachistochrone experiment and analysis of the cycloid
Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals.
She teaches courses including algebra, calculus, partial differential equations, numerical analysis and calculus of variations.
Included in the latest: pronunciation keys, a usage guide, explanations of the entries, and topics ranging from calculus of variations to palindromes.
These include enhancements to Maple's handling of numeric partial differential equations, vector calculus, calculus of variations, and ordinary differential equations.
He or she would certainly not understand what is meant by an arithmetic foundation for the calculus, nor appreciate -- as the author certainly does -- the conceptual difference between the differential calculus and the calculus of variations.
As is well known |Hestenes, Calculus of Variations and Optimal Control Theory, 1967~, if x is fixed at |Mathematical Expression Omitted~ at the initial time 0, the boundary condition requires that ||Z.