Minkowského množinové operace a jejich aplikace
Minkowski sum of semi-convex domains in ℝ² [Book]
Minkowski sums of Cantor-type sets
The classical Steinhaus theorem on the Minkowski sum of the Cantor set is generalized to a large class of fractals determined by Hutchinson-type operators. Numerous examples illustrating the results obtained and an application to t-convex functions are presented.
Minkowski valuations intertwining the special linear group
All continuous Minkowski valuations which are compatible with the special linear group are completely classified. One consequence of these classifications is a new characterization of the projection body operator.
Minkowskian rhombi and squares inscribed in convex Jordan curves
We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.
Minkowski's Successive Minima and the Zeros of a Convexity-Function.
Mirror symmetry and toric geometry.
Misure approssimanti ed insiemi ad ampiezza costante
Mittelpunktspolyeder im E4.
Mixture decompositions of exponential families using a decomposition of their sample spaces
We study the problem of finding the smallest such that every element of an exponential family can be written as a mixture of elements of another exponential family. We propose an approach based on coverings and packings of the face lattice of the corresponding convex support polytopes and results from coding theory. We show that is the smallest number for which any distribution of
Mixture Sets and Convex Sets
Modularity in Science and Art
Modules of splines on polyhedral complexes.
Moduli of rotundity and smoothness for convex bodies.
Moments of inertia associated with the lozenge tilings of a hexagon.
Monomer-dimer tatami tilings of rectangular regions.
Monotone Valuations on the Space of Convex Functions
We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞. We study the valuations defined on Cn which are invariant under the composition with rigid motions, monotone and verify a certain type of continuity. We prove integral representations formulas for such valuations which are, in addition, simple or homogeneous.
Monotonic rearrangements of functions with small mean oscillation
We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous" ones; in particular, for the BMO space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction named α-extension.
Monotonicity of the maximum of inner product norms
Let be the field of real or complex numbers. In this note we characterize all inner product norms on for which the norm on is monotonic.
More classes of stuck unknotted hexagons.