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
Některé vlastnosti pravidelných těles vypuklých
Neuere Studien über Gitterpolygone.
New Applications of Random Sampling in Computational Geometry.
New lower bounds for Heilbronn numbers.
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.
Nonexistence of Curvature in Most Points of Most Convex Surfaces.
Nonexpansive retracts in Banach spaces
We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property.
Non-parametric convex hypersurfaces with a curvature restriction
Nontiles and nonfacets for the Euclidean space, spherical complexes and convex polytopes.
Nonuniqueness Results for X-Ray Problems with Point Sources.
Note on a Conjecture of Sierksma.
Note on Bessaga-Klee classification
We collect several variants of the proof of the third case of the Bessaga-Klee relative classification of closed convex bodies in topological vector spaces. We were motivated by the fact that we have not found anywhere in the literature a complete correct proof. In particular, we point out an error in the proof given in the book of C. Bessaga and A. Pełczyński (1975). We further provide a simplified version of T. Dobrowolski's proof of the smooth classification of smooth convex bodies in Banach...