Results 51 to 60 of about 642,187 (340)
Mathematics, 2020 The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the following problems: (1) pointing out a previously ...
Octav Olteanu
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Extensions of convex functionals on convex cones [PDF]
Applicationes Mathematicae, 1998 Summary: We prove that under some topological assumptions (e.g. if \(M\) has nonempty interior in \(X\)), a convex cone \(M\) in a linear topological space \(X\) is a linear subspace if and only if each convex functional on \(M\) has a convex extension on the whole space \(X\).
Ignaczak, E., Paszkiewicz, A.
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Lifts of Convex Sets and Cone Factorizations [PDF]
Mathematics of Operations Research, 2013 In this paper, we address the basic geometric question of when a given convex set is the image under a linear map of an affine slice of a given closed convex cone. Such a representation or lift of the convex set is especially useful if the cone admits an efficient algorithm for linear optimization over its affine slices.
João Gouveia +2 more
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On harmonic functions of killed random walks in convex cones [PDF]
, 2013 We prove the existence of uncountably many nonnegative harmonic functions for random walks in the euclidean space with non-zero drift, killed when leaving general convex cones with vertex in 0.
Jetlir Duraj
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Sea cucumber mutable collagenous tissue (MCT) is a remarkable collagen‐based material which can rapidly undergo large changes in stiffness through transiently bound effector proteins. Here, we investigate the hierarchical structure and mechanical response of MCT from Cucumaria frondosa across length scales with a wide range of methods, also exploring ...
Nathalie R. H. Singh +7 more
wiley +1 more source
Soft Skins With Reversible Thickness Morphing: Materials, Mechanisms, and Applications
Advanced Materials, EarlyView.Evolution of electronic skin (e‐skin) technologies toward adaptive, multifunctional soft skins. Phase I highlights early rigid and discrete sensory interfaces. Phase II shows the transition toward flexible, stretchable, and large‐area e‐skin. Phase III captures the emergence of computational e‐skin.
Oliver Ozioko +2 more
wiley +1 more source
Complementarity Problem and Duality Over Convex Cones [PDF]
, 1974 The complementarity problem is defined and studied for cases where the constraints involve convex cones, thus extending the real and complex complementarity problems. Special cases of the problem are equivalent to dual, linear or quadratic, programs over
Abraham Berman
core +1 more source
Algorithms, 2023 This research addresses the efficient integration and sizing of flexible alternating current transmission systems (FACTS) in electrical distribution networks via a convex optimization approach.
Walter Gil-González +2 more
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A Sharp Stability Result for the Relative Isoperimetric Inequality Inside Convex Cones [PDF]
, 2012 The relative isoperimetric inequality inside an open, convex cone $\mathcal{C}$ states that, at fixed volume, $B_{r} \cap\mathcal{C}$ minimizes the perimeter inside $\mathcal{C}$.
A. Figalli, E. Indrei
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Recent Advances of Slip Sensors for Smart Robotics
Advanced Materials Technologies, EarlyView.This review summarizes recent progress in robotic slip sensors across mechanical, electrical, thermal, optical, magnetic, and acoustic mechanisms, offering a comprehensive reference for the selection of slip sensors in robotic applications. In addition, current challenges and emerging trends are identified to advance the development of robust, adaptive,
Xingyu Zhang +8 more
wiley +1 more source