Náměty k středoškolské geometrii (Geometrické nerovnosti)
n-ary transit functions in graphs
n-ary transit functions are introduced as a generalization of binary (2-ary) transit functions. We show that they can be associated with convexities in natural way and discuss the Steiner convexity as a natural n-ary generalization of geodesicaly convexity. Furthermore, we generalize the betweenness axioms to n-ary transit functions and discuss the connectivity conditions for underlying hypergraph. Also n-ary all paths transit function is considered.
Nearly All Convex Bodies Are Smooth and Strictly Convex.
Nearly regular cell-decompositions of orientable 2-manifolds with at most two exceptional cells
Neighborliness of marginal polytopes.
Neighborly Maps with Few Vertices.
Některé vlastnosti pravidelných těles vypuklých
Neuere Studien über Gitterpolygone.
New Applications of Random Sampling in Computational Geometry.
New bounds in some transference theorems in the geometry of numbers.
New conjectural lower bounds on the optimal density of sphere packings.
New extensions of Napoleon's theorem to higher dimensions.
New lower bounds for Heilbronn numbers.
New Upper Bounds for Some Spherical Codes
The maximal cardinality of a code W on the unit sphere in n dimensions with (x, y) ≤ s whenever x, y ∈ W, x 6= y, is denoted by A(n, s). We use two methods for obtaining new upper bounds on A(n, s) for some values of n and s. We find new linear programming bounds by suitable polynomials of degrees which are higher than the degrees of the previously known good polynomials due to Levenshtein [11, 12]. Also we investigate the possibilities for attaining the Levenshtein bounds [11, 12]. In such cases...
New upper bounds on sphere packings. II.
New volume ratio properties for convex sym-metric bodies in IRn.
No return to convexity
We study the closures of classes of log-concave measures under taking weak limits, linear transformations and tensor products. We investigate which uniform measures on convex bodies can be obtained starting from some class 𝒦. In particular we prove that if one starts from one-dimensional log-concave measures, one obtains no non-trivial uniform mesures on convex bodies.
Non-compact lamination convex hulls
Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum
We construct a Lipschitz function on which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was also cited by other authors.
Nonempty intersection theorems minimax theorems with applications in generalized interval spaces.