Isoperimetrical problem

A well-known form of isoperimetric problems is to find /, which minimizes... 

The theory for this problem is well known. The following necessary condition, which must be satisfied, is Euler s equation for isoperimetric problems (usually used to construct the solution) ... 

Invariance principle, 664 Invariance properties of quantum electrodynamics, 664 Inventory problem, 252,281,286 Inverse collisions, 11 direct and, 12 Inverse operator, 688 Investment problem, 286 Irreducible representations of crystallographic point groups, 726 Isoperimetric problems, 305 Iteration for the inverse, 60... 

Gol35] M. Goldberg, An isoperimetric problem for polyhedra, Tohoku Mathematical Journal 40(1935) 226-236. 

AN INTRODUCTION TO THE CALCULUS OF VARIATIONS, Charles Fox. Graduate-level text covers variations of an integral, isoperimetrical problems, least action, special relativity, approximations, more. References. 279pp. 5b x 8b. 

CALCULUS OF VARIATIONS, Robert Weinstock. Basic introduction covering isoperimetric problems, theory of elasticity, quantum mechanics, electrostatics, etc. Exercises throughout. 326pp. 5b x 8b. 63069-2 Pa. 7.95... 

After the problem of the brachistochrone had been solved, James Bernoulli, brother of John, proposed another variety of problem—the so-called isoperimetrical problem—of which the fol-... 

A Search Problem.—An example of an operations research problem that gives rise to an isoperimetric model is a search problem, first given by B. Koopman,40 that we only formulate here. Suppose that an object is distributed in a region of space with ... 

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