Results 151 to 160 of about 13,857 (195)
On tiny-probability lattice enumeration. [PDF]
Aono Y, Nguyen PQ.
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An Energy Minimization Approach to Twinning with Variable Volume Fraction. [PDF]
Conti S, Kohn RV, Misiats O.
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Threshold-awareness in adaptive cancer therapy. [PDF]
Wang M, Scott JG, Vladimirsky A.
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ISOPERIMETRIC INEQUALITIES FOR MULTIVARIFOLDS
Mathematics of the USSR-Izvestiya, 1986Developing 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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Isoperimetric Inequalities and Eigenvalues
SIAM Journal on Discrete Mathematics, 1997Summary: 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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Generalized isoperimetric inequalities. III
Journal of Mathematical Physics, 1973The generalized isoperimetric inequalities for rearranged Green's functions, which have previously been discussed for a rearrangement process analogous to Steiner symmetrization, are obtained for a type of rearrangement analogous to circular symmetrization.
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Relative isoperimetric inequality and¶linear isoperimetric inequality for minimal submanifolds
manuscripta mathematica, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Isoperimetric Inequalities for Soluble Groups
Geometriae Dedicata, 2001A theorem of D. F. Holt states that a nilpotent group is automatic if and only if it is virtually Abelian (Theorem 8.2.8 of [\textit{D. B. A. Epstein} et al., Word processing in groups, Jones and Bartlett, Boston (1992; Zbl 0764.20017)]). In the paper under review, the authors investigate the question of whether this theorem still holds if nilpotent ...
Groves, J. R. J., Hermiller, S. M.
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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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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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Spherical isoperimetric inequalities
2019This thesis contains contributions to the theory of convex bodies, that is, convex, compact sets, in spaces of constant curvature, in particular, the Euclidean unit sphere. First, a definition of centroid bodies on the sphere is given by mimicking the geometric construction from flat space.
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