Keywords: 05E45; 52A20; 55U10; 92C20; Binary code; Convex; Helly's Theorem; Neural code;
مقالات ISI (ترجمه نشده)
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Keywords: 52A20; 52A38; Convex body; Congruent sections; Unique determination;
Keywords: 90C25; 52A20; 15A39; Cone; Convex; Polar; Hyperplane; Separation;
Keywords: 15B48; 15A23; 15B99; 52A20; Completely positive cones; Copositive cones; Faces; Facially exposed cones;
Keywords: primary; 54B20; secondary; 52A20; 57N20; Convex body; Hyperspace; Positive curvature; Infinite dimensional topology;
Keywords: primary; 52A55; 52A20; 52A38; 52A40; Convex bodies; Sections; Hyperbolic and spherical spaces; Radon transform; Spherical harmonics;
Keywords: 52A20; 53A15; 52A39; Convex bodies; Projection bodies; Petty's projection inequality;
Keywords: 44A10; 52A20; 52B45; Laplace transform; Valuation; GL(n) covariance; Logarithmic translation covariance;
Keywords: 52A40; 52A20; Cone-volume measure; Subspace concentration condition; U-functional; Centro-affine inequalities; Log-Minkowski problem; Centroid; Polytope;
Keywords: primary; 52A20; 52A39; secondary; 28B20; 52A38; 52A40; Convex body; Steiner symmetrization; Schwarz symmetrization; Minkowski symmetrization; Central symmetrization;
Keywords: 52A40; 52A20; Cone-volume measure; Subspace concentration condition; U-functional; Centro-affine inequalities; log-Minkowski problem; Lp-Minkowski problem; Centroid; Polytope;
Keywords: 15A18; 15A51; 15A57; 17C20; 17C30; 52A20; Euclidean Jordan algebra; Spectral cone; Automorphism; Dual cone; Dimension;
Keywords: primary; 52A20; 90C25; secondary; 94A12; Compressed sensing; Convex geometry; Grassmannian condition number; Sparse recovery;
Keywords: 52A10; 52A20; 44A60; 60D05Convex body; Shape; Reconstruction algorithm; Surface tensor; Harmonic intrinsic volume; Generalized Wirtinger's inequality
Keywords: 52A20; 54B20; 57N20Convexity; Constant width; Infinite-dimensional manifold
Keywords: 57N20; 57S10; 52A99; 52A20; 54B20; 54C55; Convex body; Constant width; Constant relative width; Hyperspace; Q-manifold;
Keywords: 52A20; 52B11Convex body; Convex polytope; Slab
Keywords: 11D04; 90C59; 47J25; 47A46; 47A50; 52A20; 41A50Best approximation problem; Alternating projections; Supporting hyperplanes
Keywords: 52A20; 52A15; 52A21; 52C07; 53A05; Convex body; Convex cone; Normal bundle; Dimension; Tangent vector field; Symmetry of orthogonality; Symmetry; Face; Shadow boundary;
Keywords: primary; 26B25; 26D10; 52A20; Log-concave functions; Convex bodies; Area measure; Isoperimetric inequality; Log-Sobolev inequality; Minkowski's problem;
Keywords: 52A20; 44A60; 60D05Convex body; Surface tensor; Harmonic intrinsic volume; Uniqueness; Stability; Reconstruction algorithm
Keywords: 52A20; 54B20; 54H15; 57N20; 57S20Convex body; Grünbaum's conjecture; Affine invariant points; Proper actions
Uniqueness of circumcenters in generalized Minkowski spaces
Keywords: primary; 52A20; secondary; 41A28; 41A52; 41A65; 52A21; 52A40; Circumball; Circumcenter; Circumradius; Generalized Minkowski space; Unit ball;
Additive colourful Carathéodory type results with an application to radii
Keywords: primary; 52A20; secondary; 52A40; Additive Helly theorem; Additive colourful Carathéodory theorem; Convex bodies; Outer and Inner radii; Vector sums; Minkowski addition;
Grünbaum's inequality for sections
Keywords: 52A20; 52A38; 52A40; Centroid; Convex Bodies; Grünbaum's inequality; Sections;
Classification of joint numerical ranges of three hermitian matrices of size three
Keywords: 47A12; 47L07; 52A20; 52A15; 52B05; 05C10; Joint numerical range; Density matrices; Exposed face; Generic shape; Classification;
Explicit formulas for C1,1 and Cconv1,Ï extensions of 1-jets in Hilbert and superreflexive spaces
Keywords: 54C20; 52A41; 26B05; 53A99; 53C45; 52A20; 58C25; 35J96; Convex function; C1,Ï function; Whitney extension theorem;
Constant scalar curvature hypersurfaces in (3+1)-dimensional GHMC Minkowski spacetimes
Keywords: 53C21; 53C50; 53C42; 52A20; 35J60; Minkowski spacetimes; GHMC; Scalar curvature;
A Brunn-Minkowski theory for coconvex sets of finite volume
Keywords: 52A20; 52A40; 52A39; 52A30; Coconvex set; Complemented Brunn-Minkowski inequality; Mixed volume; Surface area measure; Cone-volume measure; Minkowski type existence theorem;
Brunn-Minkowski inequalities in product metric measure spaces
Keywords: primary; 52A40; 28A35; secondary; 60G15; 52A20; Brunn-Minkowski inequality; Metric measure space; Product space; Gaussian measure; Product measure; Isoperimetric inequality;
Minkowski valuations under volume constraints
Keywords: primary; 52B45; 52A40; secondary; 52A20; 52A39; Minkowski valuation; Rogers-Shephard inequality; Affine isoperimetric inequality; Difference body;
The p-cones in dimension n â¥Â 3 are not homogeneous when p â  2
Keywords: 52A20; 15B48; 17C55; Homogeneous cone; p-cone; T-algebra;
On LYZ's conjecture for the U-functional
Keywords: 52A20; 52A40; Convex polytope; Convex body; Projection body; Affine invariant; LYZ's conjecture; Volume; Support function;
A bound on the Carathéodory number
Keywords: 52A20; 15B48; 17C55; Carathéodory number; Longest chain of faces; Symmetric cone; cp-rank;
A generalization of Lp-Brunn-Minkowski inequalities and Lp-Minkowski problems for measures
Keywords: 52A20; Convex bodies; Measures; Brunn-Minkowski; Minkowski problem;
Kinematic formulas for sets defined by differences of convex functions
Keywords: 53C65; 52A20; Curvature measures; Kinematic formula; Positive reach; DC functions; WDC sets; Normal cycle; Monge-Ampère functions;
Variance asymptotics and scaling limits for random polytopes
Keywords: primary; 60F05; 52A20; secondary; 60D05; 52A23; Random polytopes; Germ-grain models; Stabilization;
Centro-affine tensor valuations
Keywords: 52B45; 52A20; Valuation; Tensor; Characterization; Convex geometry;
Lp Minkowski valuations on polytopes
Keywords: 52A20; 52B45; Lâ Minkowski valuation; Lâ projection body; Lp Minkowski valuation; Function-valued valuation; SL(n) contravariant; SL(n) covariant;
Affine isoperimetric inequalities in the functional Orlicz–Brunn–Minkowski theory
Keywords: 52A20; 53A15; 46B; 60BAffine isoperimetric inequalities; Affine surface area; Functional inequality; Geometrization of probability; Geominimal surface area; LpLp affine surface area; LpLp-Brunn–Minkowski theory; LpLp geominimal surface area; Orlicz–Brunn–
A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of Rn
Keywords: 52A20; 52A21; 57S10; 54B20; 54C55; Hyperspace of convex sets; Convex body; Banach-Mazur distance; Hausdorff metric; Group of similarities; Inner and outer radii; Geometric inequalities;
The Hadamard variational formula and the Minkowski problem for p-capacity
Keywords: 31B15; 52A20; 35J60; p-capacity; p-equilibrium potential; p-Laplacian; p-capacitary measure; Convex domain; Variational formula; Minkowski problem; Minkowski inequality; Monge-Ampére equation; Uniqueness; Existence; Regularity;
Equivariant absolute extensor property on hyperspaces of convex sets
Keywords: 54C55; 54B20; 57N20; 57S10; 52A20; 52A07Equivariant absolute extensor; Hyperspace of convex sets; Group action
The image of a closed convex set under a Fredholm operator
Keywords: 52A20; 52A41; 52B99Fredholm operator; Image of a closed convex set; Countable union of closed convex sets; FσFσ set
A characterization of Blaschke addition
Keywords: primary; 52A20; 52A30; secondary; 52A39; 52A41; Compact convex set; Zonoid; Brunn-Minkowski theory; Minkowski addition; Blaschke addition; Lévy-Prokhorov metric;
The Orlicz Brunn-Minkowski inequality
Keywords: 52A20; 52A40; Convex body; Orlicz addition; Orlicz Brunn-Minkowski inequality; Orlicz mixed volume;
Dual Orlicz–Brunn–Minkowski theory
Keywords: 52A20; 52A40; 53A15Star body; Orlicz radial sum; Dual Orlicz mixed volume; Dual Orlicz–Brunn–Minkowski theory; Dual Orlicz–Minkowski inequality; Dual Orlicz–Brunn–Minkowski inequality
Divergence for s-concave and log concave functions
Keywords: 46B; 52A20; 60BEntropy; Divergence; Affine isoperimetric inequalities; Log Sobolev inequalities
Rényi divergence and Lp-affine surface area for convex bodies
Keywords: 52A20; 53A15; Rényi divergence; Relative entropy; Lp-affine surface area;
A countable set of directions is sufficient for Steiner symmetrization
Keywords: 52A20; Convex body; Steiner symmetrization;