Results 31 to 40 of about 6,795,119 (352)
On Some Corollaries of a Transversal Theorem
In this paper we consider theorems which are generalizations of the well-known corollaries of the Helly ...
V. L. Dolnikov
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On a Class of Generalized Nonexpansive Mappings
In our recent work we have introduced and studied a notion of a generalized nonexpansive mapping. In the definition of this notion the norm has been replaced by a general function satisfying certain conditions.
Simeon Reich, Alexander J. Zaslavski
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Shortest Paths in Graphs of Convex Sets [PDF]
Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex.
Tobia Marcucci+3 more
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Optimal rates of convergence for convex set estimation from support functions [PDF]
We present a minimax optimal solution to the problem of estimating a compact, convex set from finitely many noisy measurements of its support function. The solution is based on appropriate regularizations of the least squares estimator.
Adityanand Guntuboyina
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Minimal Total Area Convex Set Partitioning Problem
The linear binary model for finding set partitioning of the points in the plane is studied. We present heuristic which generates partitioning of points to clusters for a given number of seeds with searched seeds of clusters in a plane.
Stefan Pesko
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Complete criterion for convex-Gaussian state detection [PDF]
We present a new criterion that determines whether a fermionic state is a convex combination of pure Gaussian states. This criterion is complete and characterizes the set of convex-Gaussian states from the inside.
Vershynina, Anna
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Evolution problem associated with a moving convex set in a Hilbert space
Jean Jacques Moreau
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Convex sets and inequalities [PDF]
We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.
Hiroyuki Takagi+3 more
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Matrix Convex Hulls of Free Semialgebraic Sets [PDF]
This article resides in the realm of the noncommutative (free) analog of real algebraic geometry - the study of polynomial inequalities and equations over the real numbers - with a focus on matrix convex sets $C$ and their projections $\hat C$.
Helton, J. William+2 more
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Strongly convex set-valued maps
We introduce the notion of strongly $$t$$-convex set-valued maps and present some properties of it. In particular, a Bernstein–Doetsch and Sierpiński-type theorems for strongly midconvex set-valued maps, as well as a Kuhn-type result are obtained.
H. Leiva+3 more
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