Results 51 to 60 of about 951,322 (313)
Local Convergence of Proximal Splitting Methods for Rank Constrained Problems
We analyze the local convergence of proximal splitting algorithms to solve optimization problems that are convex besides a rank constraint. For this, we show conditions under which the proximal operator of a function involving the rank constraint is ...
Giselsson, Pontus, Grussler, Christian
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Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley +1 more source
In a partially ordered ring, the convex ideals are of special interest because their quotient rings possess a naturally induced order [3, 5.2]. Some partially ordered rings have an abundance of convex ideals; for instance, every prime ideal in the ring of all continuous real-valued functions on a topological space is convex (with respect to the usual ...
openaire +2 more sources
The radius of convexity of certain analytic functions II
In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and univalent such that |f′(z)−1|
J. S. Ratti
doaj +1 more source
Convex cycles play a role e.g. in the context of product graphs. We introduce convex cycle bases and describe a polynomial-time algorithm that recognizes whether a given graph has a convex cycle basis and provides an explicit construction in the positive
Hellmuth, Marc+2 more
core
Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
Our main result states that the hyperspace of convex compact subsets of a compact convex subset $X$ in a locally convex space is an absolute retract if and only if $X$ is an absolute retract of weight $\le\omega_1$.
Benyamini+17 more
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A multimaterial approach is introduced to improve upon auxetic structures by combining two different polymers into the same reentrant honeycomb structure via additive manufacturing. The deformation behavior as well as the resulting Poisson's ratio are thereby improved significantly.
Alexander Engel+2 more
wiley +1 more source
On the Convexity of Lemniscates [PDF]
Let L 1 {L_1} denote the lemniscate | ∏ v = 1 n ( z − ζ v ) |
openaire +3 more sources
2D approximately reciprocal ρ-convex functions and associated integral inequalities
The main objective of this article is to introduce the notion of 2D approximately reciprocal ρ-convex functions, show that this class of functions unifies several other unrelated classes of reciprocal convex functions, obtain several new refinements of ...
Muhammad Uzair Awan+4 more
doaj +1 more source
Finite convex geometries of circles [PDF]
Let F be a finite set of circles in the plane. We point out that the usual convex closure restricted to F yields a convex geometry, that is, a combinatorial structure introduced by P. H Edelman in 1980 under the name "anti-exchange closure system".
Czédli, Gábor
core