Results 31 to 40 of about 646,901 (273)

On Bishop–Phelps and Krein–Milman Properties

open access: yesMathematics, 2023
A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
doaj   +1 more source

Number of Spinal-Convex Polyominoes

open access: yesJournal of Kufa for Mathematics and Computer, 2020
In his paper we describe a restricted class of polyominoes called spinal-convex polyominoes. Spinal-convex polyominoes created by two columns such that column 1 (respectively, column2) with at most two set columns sequence of adjacent ominoes and column ...
Mustafa A. Sabri, Eman F. Mohomme
doaj   +1 more source

About Directed d-Convex Simple Graphs [PDF]

open access: yesComputer Science Journal of Moldova, 2008
In this article we introduce a pseudo-metric on directed graphs, which forms there a family of convex sets. The graphs without d-convex sets, except empty set, sets of one vertex and set of all vertexes, are called d-convex simple.
Nadejda Sur, Sergiu Cataranciuc
doaj  

On Infinitesimal Approximation of a Continuous Function [PDF]

open access: yesAl-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
doaj   +1 more source

An efficient planar incremental convex hull algorithm to find the edges of the boundary polygon of the convex hull of a set of points

open access: yesCeylon 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

Minimum L1-distance projection onto the boundary of a convex set: Simple characterization

open access: yes, 2006
We show that the minimum distance projection in the L1-norm from an interior point onto the boundary of a convex set is achieved by a single, unidimensional projection.
H. J. H. Tuenter   +2 more
core   +1 more source

Known Results and Open Problems in Hypercomplex Convexity

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
A subject, which is treated in this review, combines in one bundle some questions of convex, hypercomplex analysis, probability theory and geometry.
Zelinskii Yuri
doaj   +1 more source

The External Estimate of the Compact Set by Lebesgue Set of the Convex Function [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered.
Abramova, Veronika V.   +2 more
doaj   +1 more source

Convex set detection [PDF]

open access: yes, 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
core   +1 more source

On lattices of convex sets in R^n

open access: yes, 2004
Properties of several sorts of lattices of convex subsets of R^n are examined. The lattice of convex sets containing the origin turns out, for n>1, to satisfy a set of identities strictly between those of the lattice of all convex subsets of R^n and the ...
Bergman, George M.
core   +1 more source

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