搜索结果: 1-14 共查到“数学 our bodies”相关记录14条 . 查询时间(0.031 秒)
Finiteness of central configurations of five bodies in the plane
Finiteness central configurations five bodies in the plane
2015/9/25
We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses b...
Difference bodies in complex vector spaces
Difference bodies complex vector spaces Differential Geometry
2012/6/21
A complete classification is obtained of continuous, translation invariant, Minkowski valuations on an m-dimensional complex vector space which are covariant under the complex special linear group.
Approximations of convex bodies by polytopes and by projections of spectrahedra
convex body spectrahedron approximation computational complex-ity semidefinite programming
2012/4/18
We prove that for any compact set B in R^d and for any epsilon >0 there is a finite subset X of B of |X|=d^{O(1/epsilon^2)} points such that the maximum absolute value of any linear function ell: R^d ...
Heuristic and exact solutions to the inverse power index problem for small voting bodies
electoral systems simple games weighted voting games square root rule Penrose limit theorem
2012/2/29
Power indices are mappings that quantify the influence of the members of a voting body on collective decisions a priori. Their nonlinearity and discontinuity makes it difficult to compute inverse imag...
Fractal bodies invisible in 2 and 3 directions
Billiards invisible bodies shape optimization geometrical optics problems of minimal resistance
2011/9/22
Abstract: We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dime...
On the approximation of a polytope by its dual $L_{p}$-centroid bodies
centroid bodies floating bodies polytopes Lp Brunn Minkowski theory
2011/9/14
Abstract: We show that the rate of convergence on the approximation of volumes of a convex symmetric polytope P in R^n by its dual L_{p$-centroid bodies is independent of the geometry of P. In particu...
Abstract: Given a convex set and an interior point close to the boundary, we prove the existence of a supporting hyperplane whose distance to the point is controlled, in a dimensionally quantified way...
Wave scattering by small bodies and creating materials with a desired refraction coefficient
wave scattering small scatterers wave focusing negative refraction
2011/1/21
In this paper the author’s invited plenary talk at the 7-th PACOM (PanAfrican Congress of Mathematicians), is presented.
Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives
Affine Bodies Revisited Constraints Symmetry
2011/2/25
The purpose of this publication is to derive and discuss equations of mo-tion of affinely rigid (homogeneously deformable) body moving in Eu-clidean space of general dimension n. Our aim is to present...
Centro-Affine Invariants for Smooth Convex Bodies
Centro-Affine Invariants Smooth Convex Bodies
2010/11/24
Employing a centro-affine flow on smooth convex bodies, we generate new centro-affine differential invariants. One class of the newly defined invariants is the object of a sharp isoperimetric inequali...
Extending pseudo-Anosov maps to compression bodies
Extending pseudo-Anosov maps compression bodies
2010/11/8
We show that a pseudo-Anosov map on a boundary component of an irreducible 3-manifold has a power that partially extends to the interior if and only if its (un)stable lamination is a projective limit...
Dvoretzky type theorems for multivariate polynomials and sections of convex bodies
Ramsey type theorems Dvoretsky’s theorem John’s ellipsoid.
2010/11/29
In this paper we prove the Gromov–Milman conjecture (the Dvoretzky typ theorem) for homogeneous polynomials on Rn, and improve bounds on the number n(d, k)in the analogous conjecture for odd degrees d...
Numerical Prediction of Wave Drag of 2-D and 3-D Bodies under or on a Free Surface
Ship wave pattern Wave drag Free surface Boundary element method Hydrofoil
2009/10/9
The flow characteristics such as; wave drag, lift (if present in the case of 2-D), wave pattern, and pressure distribution around 2-D and 3-D bodies moving steadily under or on a free surface are inve...
On the Algebraic Properties of Convex Bodies and Some Applications
(differences of) convex bodies Minkowski operations quasilinear spaces (differences of) support functions
2009/1/13
We extend the set of convex bodies up to differences (factorized pairs) of convex bodies; thereby (Minkowski) multiplication by real scalar is extended in a natural way. We show that differences of co...