isoperimetry

The above notion of Schur convexity was first introduced by Schur in 1923 and has many important applications in analytic inequalities [16-20], isoperimetric problem for polytopes [21], linear regression [22], combinatorial optimization [23], graphs and matrices [24], gamma and digamma functions [25], information-theoretic topics [26], stochastic orderings [27], and other related fields.

How about solving the isoperimetric problem for isosceles triangles?

The following axiomatic definition of the energy functional E(s(*)) associated to the state s(*) is a consequence of the using Euler's multiplier rule for the isoperimetric problem [13, pages 56-57]:

They used this interpretation to relate the Tanny sequence with the so called discrete connected isoperimetric problem on infinite complete binary trees.

For example, the "isoperimetric problem" required finding the shape of a closed curve of fixed length that encloses the greatest area (answer: a circle).

Then, the variational problem subject to an integral constraint is investigated in Section 3.3 and the isoperimetric problem is discussed in Section 3.4.

Among the topics covered are computational aspects of discrete minimal surfaces, conjugate plateau constructions, parabolicity and minimal surfaces, the isoperimetric problem, the genus-one helicoids as a limit of screw-motion invariant helicoids with handles, isoperimetric inequalities of minimal submanifolds, embedded minimal disks, minimial surfaces of finite topology, conformal structures and necksizes of embedded constant mean curvature surfaces, and variational problems in Lagrangian geometry.

Tyson, An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem, vol.

In the strict sense of the word, isoperimetric problems are problems in which one has to find a geometric figure of maximum area for a given perimeter.