Results 41 to 50 of about 545,686 (65)

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.
core   +2 more sources

On Mathematical Descriptions of Uncertain Parameters in Engineering Structures

Archives of Civil Engineering, 2018
Civil engineering is one of the many fields of occurrences of uncertain parameters. The present paper in an attempt to present and describe the most common methods used for inclusions of uncertain parameters.
Pełczyński J.
doaj   +1 more source

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

, 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, R. T. Rockafellar, W. Briec   +2 more
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Some problems about geometric lattice

MATEC Web of Conferences, 2018
In this paper, the survey about some results of the convex lattice set are given and the invariance of projection problem of convex lattice set is also obtained.
si Lin
doaj   +1 more source

LR characterization of chirotopes of finite planar families of pairwise disjoint convex bodies

, 2014
We extend the classical LR characterization of chirotopes of finite planar families of points to chirotopes of finite planar families of pairwise disjoint convex bodies: a map \c{hi} on the set of 3-subsets of a finite set I is a chirotope of finite ...
A Björner, A Hatcher, A Lascoux, B Sturmfels, D Dekker, DC Kay, FB Kalhoff, G Ringel, G Ringel, GK Francis, H Busemann, H Edelsbrunner, H Hadwiger, HR Salzmann, J Bokowski, J Bokowski, J Bokowski, J Cantwell, J Cantwell, J Cantwell, J Folkman, J Goodman, J Groot de, J Stolfi, J-P Doignon, JE Goodman, JE Goodman, JE Goodman, JE Goodman, L Habert, Luc Habert, M Berger, M Drandell, M Haiman, M Novick, M Novick, Michel Pocchiola, P Edelman, R Cordovil, R Dhandapani, R Dhandapani, R Stanley, R Wenger, S Felsner, W Holsztynski, WS Massey   +45 more
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Contracting Nonlinear Observers: Convex Optimization and Learning from Data

, 2017
A new approach to design of nonlinear observers (state estimators) is proposed. The main idea is to (i) construct a convex set of dynamical systems which are contracting observers for a particular system, and (ii) optimize over this set for one which ...
anderson, arcak, ljung, pascanu, steinhardt   +4 more
core   +1 more source

R-convexity in R-vector spaces

Journal of Inequalities and Applications, 2022
In this paper, for every relation R on a vector space V, we consider the R-vector space ( V , R ) $(V,R)$ and define the notions of R-convexity, R-convex hull, and R-extreme point in this space.
Ali Ebrahimi Meymand, Azadeh Alijani
doaj   +1 more source

Application of Sigmoid function in the space of univalent functions based on subordination [PDF]

Journal of Mahani Mathematical Research
In the present paper, we introduce a new subclass of normalized analytic and univalent functions in the open unit disk associated with Sigmoid function.
Farideh Madadi Tamrin, Shahram Najafzadeh, Mohammad Reza Foroutan   +2 more
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A Note on The Convexity of Chebyshev Sets

Boletim da Sociedade Paranaense de Matemática, 2009
Perhaps one of the major unsolved problem in Approximation Theoryis: Whether or not every Chebyshev subset of a Hilbert space must be convex. Many partial answers to this problem are available in the literature. R.R. Phelps[Proc. Amer. Math. Soc. 8 (1957)
Sangeeta, T.D. Narang
doaj  

Decomposability of Abstract and Path-Induced Convexities in Hypergraphs

Discussiones Mathematicae Graph Theory, 2015
An abstract convexity space on a connected hypergraph H with vertex set V (H) is a family C of subsets of V (H) (to be called the convex sets of H) such that: (i) C contains the empty set and V (H), (ii) C is closed under intersection, and (iii) every ...
Malvestuto Francesco Mario, Moscarini Marina   +1 more
doaj   +1 more source