Results 41 to 50 of about 509 (167)
Free Subspaces of Free Locally Convex Spaces
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
doaj +1 more source
Reverse engineering strut‐and‐tie models for assessing reinforced concrete structures
Abstract Strut‐and‐tie models enable the design of reinforced concrete structures with static or geometrical discontinuities, providing interpretability and control over the load path. These models are valuable for designing discontinuity regions of new structures and for validating nonlinear finite‐element analysis results. However, developing a strut‐
Karin Yu, Walter Kaufmann
wiley +1 more source
Internal functionals and bundle duals
If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be constructed whose stalks are the duals of the stalks of the given bundle and whose sections can be identified with the functionals studied by Seda in [1] and [2]
Joseph W. Kitchen, David A. Robbins
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A Quantised Push‐Sum Distributed Adaptive Momentum Algorithm for Optimisation Over Directed Networks
ABSTRACT In this paper, we investigate a distributed constrained optimisation problem over directed networks. The agents in the networks conduct local computations and communications, endeavouring to collaboratively minimise the aggregation of all locally known convex cost functions subject to a global constraint set.
Qingguo Lü +6 more
wiley +1 more source
Bornological Locally Convex Cones
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept
Davood Ayaseh, Asghar Ranjbari
doaj
UBVH: Unified Bounding Volume and Scene Geometry Representation for Ray Tracing
Abstract Bounding volume hierarchies (BVHs) are currently the most common data structure used to accelerate ray tracing. The existing BVH methods distinguish between the bounding volume representation associated with the interior BVH nodes and the scene geometry representation associated with leaf nodes.
M. Káčerik, J. Bittner
wiley +1 more source
An ergodic measure on a locally convex topological vector space
AbstractThe aim of this paper is to give a way to construct a probability measure with nice ergodic properties on a locally convex topological vector space. We have two motivations; one is to give a generalization of a Gaussian measure and the other is to give an example of a probability measure with a rich kernel space.
openaire +1 more source
Basis Networks: Learning basis functions for free‐form triangulations
Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley +1 more source
Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley +1 more source
A formula to calculate the spectral radius of a compact linear operator
There is a formula (Gelfand's formula) to find the spectral radius of a linear operator defined on a Banach space. That formula does not apply even in normed spaces which are not complete.
Fernando Garibay Bonales +1 more
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