isoperimetry

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Related to Isoperimetric: Isoperimetric problem

isoperimetry

(ˌaɪsəʊpəˈrɪmətrɪ)
n
(Mathematics) geometry the branch of geometry dealing with figures that have equal perimeters
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

isoperimetry

the study of flgures that have perimeters of equal length. — isoperimetrical, isoperimetral, adj.
See also: Mathematics
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References in periodicals archive ?
Lu, "Butterfly velocity bound and reverse isoperimetric inequality," Physical Review D: Particles, Fields, Gravitation and Cosmology, vol.
Torres, "Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense," Reports On Mathematical Physics, vol.
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.
Therefore, the adapted optimal control is used to show the effect of controls under isoperimetric constraints.
The research paper introduces homology and cohomology with real coefficients which reflect the metric properties of the underlying compact metric spaces, focusing on a category of pairs of compact metric spaces and Lipschitz maps where the pairs satisfy a linearly isoperimetric condition related to the solvability of the Plateau problem with partially free boundary.
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.
In the argument we effectively employ equivalence between the CKN-type inequalities with p = 1 and the isoperimetric inequalities with weights.
Li's method is motivated by the isoperimetric graph partitioning [32], in which the intraclass similarities of object and background are measured by the sum of degrees of their corresponding vertices, while the interclass similarity is measured by a cut of the graph.
Aberth, An isoperimetric inequality for polyhedra and its application to an extremal problem, Proc.
We remark that Z[1/p] cannot be replaced with Z[[tau]] for some non-algebraic number [tau], since GL(2, Z[[tau]]) contains a copy of Z [??] Z which does not to admit a controlled Folner sequence by an isoperimetric inequality due to Erschler [8].
It is only recently that explicit bounds for these constants have been investigated, starting with a paper by Pechstein [20] which relies on the so-called Jones parameter and a constant in an isoperimetric inequality.