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Topological Analysis on the Belief Rule Base Space
The belief rule base (BRB) uses the “IF-THEN” rule to handle different types of information under uncertainty, and then transforms them into a unified result in the same belief structure as the input.
Caiyun Niu +3 more
doaj +1 more source
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
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Unlinking and unknottedness of monotone Lagrangian submanifolds [PDF]
Under certain topological assumptions, we show that two monotone Lagrangian submanifolds embedded in the standard symplectic vector space with the same monotonicity constant cannot link one another and that, individually, their smooth knot type is ...
Georgios Dimitroglou +2 more
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Quantifying some distance topological properties of the non-zero component graph
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
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alpha-Topological Vector Spaces
Summary: The notion of \(\alpha\)-topological vector space is introduced and several properties are studied. A~complete comparison between this class and the class of topological vector spaces is presented. In particular, \(\alpha\)-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for
openaire +4 more sources
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
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Fixed-Point Theory on a Frechet Topological Vector Space
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
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A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem
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
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On the symmetries of BF models and their relation with gravity [PDF]
The perturbative finiteness of various topological models (e.g. BF models) has its origin in an extra symmetry of the gauge-fixed action, the so-called vector supersymmetry.
A. Boresch +25 more
core +3 more sources
The Cell Method (CM) is an algebraic numerical method based on the use of global variables: the configuration, source and energetic global variables. The configuration variables with their topological equations, on the one hand, and the source variables ...
Ferretti Elena
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