Invariants of pairs of compact convex sets.
Invertible Relations on Polytopes.
Irregularities of Point Distributions Relative to Homothetic Convex Bodies I.
Isometric classification of Sobolev spaces on graphs
Isometric Sobolev spaces on finite graphs are characterized. The characterization implies that the following analogue of the Banach-Stone theorem is valid: if two Sobolev spaces on 3-connected graphs, with the exponent which is not an even integer, are isometric, then the corresponding graphs are isomorphic. As a corollary it is shown that for each finite group and each p which is not an even integer, there exists n ∈ ℕ and a subspace whose group of isometries is the direct product × ℤ₂.
Isometrien des Konvexringes
Isometrien des Raumes der konvexen Körper
Isometries of Spaces of Compact Convex Subsets of Metric Manifolds.
Isomorphismes de lattis de fermés convexes
Isonemality and mononemality of woven fabrics
The paper studies the diagrams of woven fabrics consisting of white and black squares as geometrical objects and described their symmetries. The concepts of isonemality and mononemality due to B. Grünbaum and G. C. Shephard are used. A conjecture of these authors is proved in a particular case.
Isoperimetric inequalities and identifties for k-dimensional cross-sections of convex bodies.
Isoperimetric inequalities for quermassintegrals
Isoperimetric problem for uniform enlargement
We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.
Isoperimetric Problems for Convex Bodies and a Localization Lemma.
Isoperimetrische Probleme für konvexe Bereiche mit krümmungsbeschränkten Breitenkörpern I
Isoperimetrische Ungleichung für geschlossene Raumsechsecke
Isoperimetrische Ungleichungen für geschlossene Kurven
Isoperimetrische Ungleichungen für räumliche Kurven und Polygone
Isoptics of a closed strictly convex curve. - II
Iterated Boolean random varieties and application to fracture statistics models
Models of random sets and of point processes are introduced to simulate some specific clustering of points, namely on random lines in and and on random planes in . The corresponding point processes are special cases of Cox processes. The generating distribution function of the probability distribution of the number of points in a convex set and the Choquet capacity are given. A possible application is to model point defects in materials with some degree of alignment. Theoretical results...
Iterated Means of Convex Bodies.