Results 251 to 260 of about 106,609 (287)

Relationships between L-ordered convergence structures and strong L-topologies

Fuzzy Sets and Systems, 2010
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exaly   +3 more sources

Structural Amorphization-Induced Topological Order

Physical Review Letters, 2022
Electronic properties of crystals are inherently pertained to crystalline symmetry, so that amorphization that lowers and breaks symmetry is detrimental. One important crystalline property is electron band topology which is known to be weakened and destroyed by structural disorder.
Citian Wang, Ting Cheng, Zhirong Liu, Feng Liu, Huaqing Huang   +4 more
openaire   +2 more sources

An invitation to topological structures on first order genuine sets

Fuzzy Sets and Systems, 2001
First order genuine sets were defined in a previous paper by the second author as the mappings \(g_A: X \times [0,1] \to [0,1]\). The basic relations between these sets are defined as well as some generalizations of a topological space, which consist of genuine sets.
Dogan Çoker, Mustafa Demirci
openaire   +1 more source

First order topological structures and theories

The Journal of Symbolic Logic, 1987
In this paper we introduce the notion of a first order topological structure, and consider various possible conditions on the complexity of the definable sets in such a structure, drawing several consequences thereof.Our aim is to develop, for a restricted class of unstable theories, results analogous to those for stable theories.
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Numerical Representability of Ordered Topological Spaces with Compatible Algebraic Structure

Order, 2011
This paper is devoted to the study of continuous numerical representations of totally preordered topological vector spaces through real-valued order-preserving functions that are also algebraic homomorphisms. The main novelty is the analysis of numerical representations that are continuous, linear and multiplicative, motivated from applications in ...
Juan Carlos Candeal, Esteban Induráin, José A. Molina   +2 more
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Partial Order Structures and Topological Spaces

1973
In the work ahead we will be interested in Boolean algebras that are associated with certain partial order structures (Definition 5.4) and Boolean algebras of regular open sets of certain topological spaces. Quite often we find that the Boolean algebra associated with a particular partial order structure is the same algebra as that of the regular open ...
Gaisi Takeuti, Wilson M. Zaring
openaire   +1 more source

Self-ordering of nontrivial topological polarization structures in nanoporous ferroelectrics

Nanoscale, 2017
Nontrivial topological polarization structures in nanoporous ferroelectrics.
Le Van Lich, Takahiro Shimada, Jie Wang, Takayuki Kitamura   +3 more
openaire   +2 more sources

Topological long-range order for resonating-valence-bond structures

Physical Review B, 1991
Resonating-valence-bond structures involving pairings of sites not too distant from one another are considered. It is shown that under fairly general conditions these structures fall into different classes manifesting different ``topological'' long-range orders.
, Klein, , Zivkovic, , Valenti
openaire   +2 more sources

Topology Optimization of Structures Using Higher Order Finite Elements in Analysis

2021
Topology optimization in general progresses with numerical instability i.e. checkerboard patterns if no filtering radius is used i.e. imposement of minimum length scale. Many studies are done in past decades to get rid of numerical instability or checkerboard pattern while optimizing the topology of mechanical structures.
Mukherjee, S., Lu, D., Dutta, S., Raghavan, Balaji, Breitkopf, Piotr, Xiao, M.   +5 more
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The order structure of topological -algebras of unbounded operators I

Reports on Mathematical Physics, 1975
Abstract In this paper we begin to study the order structure of topological -algebras of unbounded operators in Hilbert space with the investigation of the normality and the bounded decomposition property of the cones. We prove that for a large class of topological -algebras the normality of the wedge of positive elements is necessary and sufficient ...
openaire   +2 more sources