Results 61 to 70 of about 642,187 (340)

Convex cones associated to generalized cones in RN [PDF]

open access: yes, 2010
In this paper we associate to generalized cones of rank k in RN certain convex cones in the space of alternate k-linear forms over RN. As a first consequence, we show a new proof of a Perron–Frobenius theorem for generalized positive operators ...
Luis A. Sanchez, Sanchez, Luis A.
core   +1 more source

Inequalities for Convex Functions on Simplexes and Their Cones

open access: yesAbstract and Applied Analysis, 2014
The aim of this paper is to present the fundamental inequalities for convex functions on Euclidean spaces. The work is based on the geometry of the simplest convex sets and properties of convex functions.
Zlatko Pavić, Shanhe Wu
doaj   +1 more source

On the volume of sections of a convex body by cones [PDF]

open access: yes, 2016
Let $K$ be a convex body in $\mathbb R^n$. We prove that in small codimensions, the sections of a convex body through the centroid are quite symmetric with respect to volume.
M. Fradelizi, M. Meyer, V. Yaskin
semanticscholar   +1 more source

3D‐Printed Corneal Substitutes: Materials, Fabrication, and Preclinical Progress

open access: yesAdvanced Materials Technologies, EarlyView.
Successful clinical translation of 3D‐printed corneal substitutes relies on the interplay between the bioink properties, cellular component, and the fabrication process. These factors influence the critical properties of the construct, including optical transparency, mechanical stability, suture retention, that ultimately govern long‐term stromal ...
Shadi Moshayedi   +4 more
wiley   +1 more source

Distributional boundary values of analytic functions and positive definite distributions

open access: yesNonlinear Analysis, 2015
We propose necessary and sufficient conditions for a distribution (generalized function) fof several variables to be positive definite. For this purpose, certain analytic extensions of f to tubular domains in complex space Cn are studied. The main result
Saulius Norvidas
doaj   +1 more source

Critical angles between two convex cones I. General theory

open access: yes, 2016
The concept of critical (or principal) angle between two linear subspaces has applications in statistics, numerical linear algebra, and other areas. Such concept has been abundantly studied in the literature, both from a theoretical and computational ...
A. Seeger, D. Sossa
semanticscholar   +1 more source

Efficient and Robust Standing Postures of Quadruped Robots

open access: yesAdvanced Robotics Research, EarlyView.
A calibrated static framework estimates load, optimizes torques, and adapts posture so quadruped robots stand efficiently and robustly under external payloads, achieving up to 50% lower torque demand. Inspired by the natural posture adjustments of animals under external loading, this article presents an optimization‐based framework for minimizing joint
Mohamad Kanaan   +5 more
wiley   +1 more source

Hair Follicle Seedling Cryomicroneedles from Hierarchical Microfluidic Organoid on a Chip

open access: yesAdvanced Science, EarlyView.
In this paper, a hierarchical microfluidic chip is developed to produce uniform hair follicle organoids (HFOs) in cryomicroneedles. Cryopreservation agents encapsulate HFOs, preserving viability and hair growth potential. The cryomicroneedles enable simple intradermal transplantation with good skin penetration.
Xinyue Cao   +3 more
wiley   +1 more source

Spectral Polyhedra

open access: yesForum of Mathematics, Sigma
A spectral convex set is a collection of symmetric matrices whose range of eigenvalues forms a symmetric convex set. Spectral convex sets generalize the Schur-Horn orbitopes studied by Sanyal–Sottile–Sturmfels (2011). We study this class of convex bodies,
Raman Sanyal, James Saunderson
doaj   +1 more source

A D-induced duality and its applications [PDF]

open access: yes
This paper attempts to extend the notion of duality for convex cones, by basing it on a predescribed conic ordering and a fixed bilinear mapping. This is an extension of the standard definition of dual cones, in the sense that the nonnegativity of the ...
Zhang, S., Brinkhuis, J.
core   +4 more sources

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