Results 11 to 20 of about 571,455 (206)

A Variational Beam Model for Failure of Cellular and Truss‐Based Architected Materials

open access: yesAdvanced Engineering Materials, EarlyView., 2023
Herein, a versatile and efficient beam modeling framework is developed to predict the nonlinear response and failure of cellular, truss‐based, and woven architected materials. It enables the exploration of their design space and the optimization of their mechanical behavior in the nonlinear regime. A variational formulation of a beam model is presented
Konstantinos Karapiperis   +3 more
wiley   +1 more source

Free Subspaces of Free Locally Convex Spaces

open access: yesJournal of Function Spaces, 2018
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

Quantifying some distance topological properties of the non-zero component graph

open access: yesAIMS Mathematics, 2021
Several bioactivities of chemical compounds in a molecular graph can be expected by using many topological descriptors. A topological descriptor is a numeric quantity which quantify the topology of a graph.
Fawaz E. Alsaadi   +6 more
doaj   +1 more source

Topology on diffeological vector spaces [PDF]

open access: yesarXiv, 2022
It is expected that the $D$-topology makes every diffeological vector space into a topological vector space. We show that it is the case for a large class of diffeological vector spaces via $k_\omega$-space theory, but not so in general. The paper also proposes the study of a class of almost topological vector spaces.
arxiv  

Relation between chiral central charge and ground-state degeneracy in (2+1)-dimensional topological orders

open access: yesPhysical Review Research, 2020
A bosonic topological order on d-dimensional closed space Σ^{d} may have degenerate ground states. The space Σ^{d} with different shapes (different metrics) form a moduli space M_{Σ^{d}}.
Liang Kong, Xiao-Gang Wen
doaj   +1 more source

A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem

open access: yesJournal of Function Spaces, 2021
In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach.
Ankit Gupta   +4 more
doaj   +1 more source

Flowsheet generation through hierarchical reinforcement learning and graph neural networks

open access: yesAIChE Journal, Volume 69, Issue 1, January 2023., 2023
Abstract Process synthesis experiences a disruptive transformation accelerated by artificial intelligence. We propose a reinforcement learning algorithm for chemical process design based on a state‐of‐the‐art actor‐critic logic. Our proposed algorithm represents chemical processes as graphs and uses graph convolutional neural networks to learn from ...
Laura Stops   +3 more
wiley   +1 more source

Fixed-Point Theory on a Frechet Topological Vector Space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We establish some versions of fixed-point theorem in a Frechet topological vector space E. The main result is that every map A=BC (where B is a continuous map and C is a continuous linear weakly compact operator) from a closed convex subset of a Frechet ...
Afif Ben Amar   +2 more
doaj   +1 more source

The Fixed Point Property of Quasi-Point-Separable Topological Vector Spaces [PDF]

open access: yesarXiv, 2022
In this paper, we introduce the concept of quasi-point-separable topological vector spaces, which has the following important properties: 1.In general, the conditions for a topological vector space to be quasi-point-separable is not very difficult to check; 2.The class of quasi-point-separable topological vector spaces is very large that includes ...
arxiv  

Crystalline gauge fields and quantized discrete geometric response for Abelian topological phases with lattice symmetry

open access: yesPhysical Review Research, 2021
Clean isotropic quantum Hall fluids in the continuum possess a host of symmetry-protected quantized invariants, such as the Hall conductivity, shift, and Hall viscosity.
Naren Manjunath, Maissam Barkeshli
doaj   +1 more source

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