Results 161 to 170 of about 363,583 (199)

Genevan encounters with Newton. Gabriel Cramer, Jean-Louis Calandrini and the annotated edition of the <i>Principia</i>. [PDF]

Philos Trans A Math Phys Eng Sci
Beeley P.
europepmc   +1 more source

Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces [PDF]

Journal of Functional Analysis, 2016
We extend the recent L1 uncertainty inequalities obtained in [13] to the metric setting. For this purpose we introduce a new class of weights, named isoperimetric weights, for which the growth of the measure of their level sets μ can be controlled by rI ...
Joaquim Martin, Mario Milman
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Isoperimetric Inequalities and Eigenvalues

SIAM Journal on Discrete Mathematics, 1997
Summary: An upper bound is given on the minimum distance between \(i\) subsets of same size of a regular graph in terms of the \(i\)th largest eigenvalue in absolute value. This yields a bound on the diameter in terms of the \(i\)th largest eigenvalue for any integer \(i\). Our bounds are shown to be asymptotically tight for explicit families of graphs
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ISOPERIMETRIC INEQUALITIES FOR MULTIVARIFOLDS

Mathematics of the USSR-Izvestiya, 1986
Developing the theory of multivarifolds the author establishes new isoperimetric inequalities. The main result can be stated as follows: ''Let W be a \((k+1)\)-dimensional compact Riemannian manifold with boundary \(\partial W\), and \(g: \partial W\to R^ n\) a fixed mapping of class \(C^ r\) (resp. a locally Lipschitz mapping).
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An Isoperimetric Inequality on the Discrete Torus

SIAM Journal on Discrete Mathematics, 1990
Summary: The discrete torus is the graph on \(\mathbb{Z}^ n_ k=(\mathbb{Z}/k\mathbb{Z})^ n\) in which \(x=(x_ i)^ n_ 1\) is joined to \(y=(y_ i)^ n_ 1\) if for some \(i\) there is \(x_ i=y_ i\pm1\) and \(x_ j=y_ j\) for all \(j\neq i\). For a set \(A\subset\mathbb{Z}^ n_ k\) and a natural number \(t\), let \(A_{(t)}\) be the set of vertices of ...
Béla Bollobás, Imre Leader
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An Isoperimetric Inequality for Tetrahedra

Canadian Mathematical Bulletin, 1966
Let T be a tetrahedron and let V(T) and L(T) denote its volume and the sum of its edge-lengths. In this note we prove Theorem 1. with equality if and only if the tetrahedron T is regular.
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Relative isoperimetric inequality and¶linear isoperimetric inequality for minimal submanifolds

manuscripta mathematica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Stability of the Isoperimetric Inequality

2017
These lecture notes contain the material that I presented in two summer courses in 2013, one at the Carnegie Mellon University and the other one in a CIME school at Cetraro. The aim of both courses was to give a quick but comprehensive introduction to some recent results on the stability of the isoperimetric inequality.
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The Isoperimetric inequality

Resonance, 2002
A new proof (due to X Cabre) of the classical isoperimetric theorem, based on Alexandrov’s idea of moving planes, will be presented. Compared to the usual proofs, which use geometric measure theory, this proof will be based on elementary ideas from calculus and partial differential equations (Laplace equation).
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