Results 61 to 70 of about 6,795,119 (352)
A strong maximum principle for parabolic systems in a convex set with arbitrary boundary [PDF]
, 2009 In this paper we prove a strong maximum principle for certain parabolic systems ot equations. In particular, our methods place no restriction on the regularity of the boundary of the convex set in which the system takes its values, and therefore our ...
L. Evans
semanticscholar +1 more source
Convex Independence in Permutation Graphs
, 2016 A set C of vertices of a graph is P_3-convex if every vertex outside C has at most one neighbor in C. The convex hull \sigma(A) of a set A is the smallest P_3-convex set that contains A.
B Courcelle +11 more
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Ceylon Journal of Science, 2021 The definition of the convex hull of a set of points is the smallest convex set containing all the points. Many algorithms have been proposed with the worst case time complexity is equal to O (n log n).
K. R. Wijeweera, S. R. Kodituwakku
doaj +1 more source
On entropic quantities related to the classical capacity of infinite dimensional quantum channels
, 2004 In this paper we consider the $\chi$-function (the Holevo capacity of constrained channel) and the convex closure of the output entropy for arbitrary infinite dimensional channel.
Shirokov, M. E.
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, 2014 We address the problem of one dimensional segment detection and estimation, in a regression setup. At each point of a fixed or random design, one observes whether that point belongs to the unknown segment or not, up to some additional noise.
Brunel, Victor-Emmanuel
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The Electronic Journal of CombinatoricsWe introduce a novel definition of orientation on the triples of a family of pairwise intersecting planar convex sets and study its properties. In particular, we compare it to other systems of orientations on triples that satisfy a so-called interiority condition: $\circlearrowleft(ABD)=\circlearrowleft(BCD)=\circlearrowleft(CAD)=1$ imply ...
Ágoston, Péter +3 more
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COVARIOGRAM OF NON‐CONVEX SETS [PDF]
Mathematika, 2010 The covariogram of a compact set A contained in R^n is the function that to each x in R^n associates the volume of A intersected with (A+x). Recently it has been proved that the covariogram determines any planar convex body, in the class of all convex bodies.
C. Benassi +2 more
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Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Stereotactic radiotherapy (SRT) is a highly effective treatment with precision for small, localized lesions. Proton therapy, characterized by the Bragg peak, offers superior dose conformity compared to photon‐based approaches. However, challenges remain in minimizing lateral penumbra and optimizing dose delivery, particularly for small
Chen‐Yu Chou +3 more
wiley +1 more source
Triangulation Algorithm Based on Empty Convex Set Condition
Vestnik Volgogradskogo Gosudarstvennogo Universiteta. Serija 1. Mathematica. Physica, 2015 The article is devoted to generalization of Delaunay triangulation. We suggest to consider empty condition for special convex sets. For given finite set P ⊂ Rn we shall say that empty condition for convex set B ⊂ Rn is fullfiled if P ∩ B = P ∩ ∂B. Let Φ =
Klyachin Vladimir Aleksandrovich
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On Infinitesimal Approximation of a Continuous Function [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 If and are convex subsets in , and in for all . If the approximation family is the set An Infinitesimal approximation of an element in established in [4],[5].
Tahir Ismail
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