Results 81 to 90 of about 3,136 (233)
On the Covariance of Moore-Penrose Inverses in Rings with Involution
Abstract and Applied Analysis, 2014 We consider the so-called covariance set of Moore-Penrose inverses in rings with an involution. We deduce some new results concerning covariance set. We will show that if a is a regular element in a C∗-algebra, then the covariance set of a is closed in ...
Hesam Mahzoon
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Quantitative Metrics for Edge Bundling of Network Visualizations
Computer Graphics Forum, EarlyView.Abstract Edge bundling is widely used for reducing visual clutter in large 2D network and trajectory visualizations. Various edge bundling methods have been proposed, each producing qualitatively distinct outputs for the same data; however, few quantitative metrics exist for systematic evaluation. In this paper, we propose a set of quantitative metrics
M. Wallinger +3 more
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Soft ComputingIn this paper, by considering the notion of L-algebras and CL-algebras, we construct a topology on a bounded CL-algebra. Then, we investigate some of its topological properties, such as Hausdorff space, T0-space and T1-space and connectedness. Moreover, we express the relation between closed and compact sets in this topology.
H. Khajeh Nasir +2 more
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𝐶*-algebras and differential topology [PDF]
Bulletin of the American Mathematical Society, 1985 Let M be a smooth closed manifold. The isotopy classes of smooth structures on M can be made into a finite abelian group \(\Sigma(M).\) The author constructs the homomorphism \(\vartheta(\Sigma(M)\to K^ 0(M))\) into the multiplicative group of units. The main results: there is a manifold M with a second structure \(\alpha \in \Sigma (M)_{(2)}\), for ...
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Class Angular Distortion Index for Dimensionality Reduction
Computer Graphics Forum, EarlyView.Abstract Dimensionality reduction (DR) techniques are often characterized by whether they preserve global, high‐level structures in the data or local, neighborhood structures. This distinction matters in visualization: global methods can obscure clusters while local methods can over‐emphasize them.
Kaviru Gunaratne +2 more
wiley +1 more source
Inverse topology in BL-algebras
پژوهشهای ریاضی, 2020 In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0 and T1-Space.
Fereshteh Forouzesh +2 more
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Journal of Mathematical Analysis and Applications, 1989 Among other results, the author shows that on a BP\({}^*\)-algebra [which were introduced and studied by this reviewer and \textit{S. A. Warsi}: Math. Japon, 21, 237-247 (1976; Zbl 0344.46104) and Period. Math. Hungar. 8, 15-28 (1977; Zbl 0329.46056)], there exists a finest locally convex \({}^*\)-algebra topology having the same bounded hermitian ...
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Scalable Computation of Topological Abstractions for Scalar Data
Computer Graphics Forum, EarlyView.Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will +6 more
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TOPOLOGY SPECTRUM OF A KU-ALGEBRA
Journal of New Theory, 2015 –The aim of this paper is to study the Zariski topology of a commutative KU-algebra. Firstly, we introduce new concepts of a KU-algebra, such as KU-lattice, involutory ideal and prime ideal and investigate some basic properties of these concepts ...
Samy Mohammed Mostafa +3 more
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Bulletin of the Section of LogicThe main goal of this paper is to introduce the notion of stabilizers in \(L\)-algebras and develop stabilizer theory in \(L\)-algebras. In this paper, we introduced the notions of left and right stabilizers and investigated some related properties of ...
Gholam Reza Rezaei, Mona Aaly Kologani
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