Generalized triangular grids in digital geometry.
Generalized vector quasi-equilibrium problems with set-valued mappings.
Generalized Vitali systems of uniform type
Generalized Whitney partitions
We prove that the upper Minkowski dimension of a compact set Λ is equal to the convergence exponent of any packing of the complement of Λ with polyhedra of size not smaller than a constant multiple of their distance from Λ.
Generalizing the Johnson-Lindenstrauss lemma to k-dimensional affine subspaces
Let ε > 0 and 1 ≤ k ≤ n and let be affine subspaces of ℝⁿ, each of dimension at most k. Let if ε < 1, and m = O(k + log p/log(1 + ε)) if ε ≥ 1. We prove that there is a linear map such that for all 1 ≤ l ≤ p and we have ||x-y||₂ ≤ ||H(x)-H(y)||₂ ≤ (1+ε)||x-y||₂, i.e. the distance distortion is at most 1 + ε. The estimate on m is tight in terms of k and p whenever ε < 1, and is tight on ε,k,p whenever ε ≥ 1. We extend these results to embeddings into general normed spaces Y.
Generating Closed 2-Cell Embeddings in the Torus and the Projective Plane.
Generation of optimal packings from optimal packings.
Geodesies on typical convex surfaces
Using Baire categories uniqueness of geodesic segments and existence of closed geodesics on typical convex surfaces are investigated.
Geometric algorithms and combinatorial optimization [Book]
Geometric algorithms and combinatorial optimization [Book]
Geometric and combinatorial structure of a class of spherical folding tessellations – I
A classification of dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent four papers by Avelino and Santos (2012, 2013, 2014 and 2015). In this paper we extend this classification, presenting all dihedral folding tessellations of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle. Within two possible cases of adjacency, only one will be addressed....
Geometric inequalities for a simplex.
Geometric Permutations and Common Transversals.
Geometric probabilities for convex bodies of large revolution in the Euclidean space . II.
Geometric probabilities for non convex lattices. II
We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.
Geometric Realizations for Dyck's Regular Map on a Surface of Genus 3.
Geometric structure of positive bases in linear spaces
Geometric study of the beta-integers for a Perron number and mathematical quasicrystals
We investigate in a geometrical way the point sets of obtained by the -numeration that are the -integers where is a Perron number. We show that there exist two canonical cut-and-project schemes associated with the -numeration, allowing to lift up the -integers to some points of the lattice ( degree of ) lying about the dominant eigenspace of the companion matrix of . When is in particular a Pisot number, this framework gives another proof of the fact that is...
Geometrical probabilities for convex test bodies.
Geometrically constructed bases for homology of partition lattices of types , and .