Investigating the Relationship Between Seismological and Topological Properties of Seismicity in Italy and Taiwan

A space X is said to be neighborhood star-Lindel?f if for every open cover U of X there exists a countable subset A of X such that for every open O?A, X=St(O,U). In this paper, we continue to investigate the relationship between neighborhood star-Lindel?f spaces and related spaces, and study topological properties of neighborhood star-Lindel?f spaces in the classes of normal and pseudocompact spaces. .

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On the Set Version of Selectively Star-CCC Spaces

Journal of Mathematics ◽

10.1155/2020/9274503 ◽

2020 ◽

Vol 2020 ◽

pp. 1-7

Author(s):

Ljubiša D. R. Kočinac ◽

Sumit Singh

Keyword(s):

Nonempty Subset ◽

Topological Properties ◽

Open Problems ◽

The Relationship

A space X is said to be set selectively star-ccc if for each nonempty subset B of X , for each collection U of open sets in X such that B ¯ ⊂ ∪ U , and for each sequence A n : n ∈ ℕ of maximal cellular open families in X , there is a sequence A n : n ∈ ℕ such that, for each n ∈ ℕ , A n ∈ A n and B ⊂ St ∪ n ∈ ℕ A n , U . In this paper, we introduce set selectively star-ccc spaces and investigate the relationship between set selectively star-ccc and other related spaces. We also study the topological properties of set selectively star-ccc spaces. Some open problems are posed.

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Winding number selection on merons by Gaussian curvature’s sign

Scientific Reports ◽

10.1038/s41598-019-50395-7 ◽

2019 ◽

Vol 9 (1) ◽

Cited By ~ 5

Author(s):

Ricardo Gabriel Elías ◽

Nicolás Vidal-Silva ◽

Vagson L. Carvalho-Santos

Keyword(s):

Gaussian Curvature ◽

Domain Walls ◽

Curved Surfaces ◽

Two Dimensional ◽

Winding Number ◽

Direct Relation ◽

Topological Properties ◽

The Core ◽

Magnetic Surfaces ◽

The Relationship

Abstract We study the relationship between the winding number of magnetic merons and the Gaussian curvature of two-dimensional magnetic surfaces. We show that positive (negative) Gaussian curvatures privilege merons with positive (negative) winding number. As in the case of unidimensional domain walls, we found that chirality is connected to the polarity of the core. Both effects allow to predict the topological properties of metastable states knowing the geometry of the surface. These features are related with the recently predicted Dzyaloshinskii-Moriya emergent term of curved surfaces. The presented results are at our knowledge the first ones drawing attention about a direct relation between geometric properties of the surfaces and the topology of the hosted solitons.

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Application of Algorithmic Manifold to Exponential Time

10.31219/osf.io/ukg4g ◽

2017 ◽

Author(s):

Takuya Yabu

Keyword(s):

Turing Machine ◽

Turing Machines ◽

Topological Properties ◽

Exponential Time ◽

Polynomial Time Algorithms ◽

Exponential Time Algorithms ◽

Deterministic Turing Machine ◽

The Relationship ◽

Np Problem ◽

Machine Problem

In the previous paper, I defined algorithmic manifolds simulating polynomial-time algorithms, and I showed topological properties for P problem and NP problem and that NP problem can be transformed into deterministic Turing machine problem.　In this paper, I define algorithmic manifolds simulating exponential-time algorithms and, I show topological properties for EXPTIME problem and NEXPTIME problem. I also discuss the relationship between NEXPTIME and deterministic Turing machines.

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On star-K-Hurewicz spaces

Filomat ◽

10.2298/fil1705279s ◽

2017 ◽

Vol 31 (5) ◽

pp. 1279-1285 ◽

Cited By ~ 1

Author(s):

Yan-Kui Song

Keyword(s):

Topological Properties ◽

The Relationship ◽

Compact Subsets

A space X is star-K-Hurewicz if for each sequence (Un : n ? N) of open covers of X there exists a sequence (Kn : n ? N) of compact subsets of X such that for each x ? X, x ? St(Kn,Un) for all but finitely many n. In this paper, we investigate the relationship between star-K-Hurewicz spaces and related spaces by giving some examples, and also study topological properties of star-K-Hurewicz spaces.

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Thermodynamic, energetic, and topological properties of crystal packing of pyrazolo[1,5-a]pyrimidines governed by weak electrostatic intermolecular interactions

CrystEngComm ◽

10.1039/c5ce00613a ◽

2015 ◽

Vol 17 (23) ◽

pp. 4325-4333 ◽

Cited By ~ 12

Author(s):

Clarissa P. Frizzo ◽

Aniele Z. Tier ◽

Izabelle M. Gindri ◽

Alexandre R. Meyer ◽

Gabrielle Black ◽

...

Keyword(s):

Intermolecular Interactions ◽

Thermodynamic Data ◽

Crystal Packing ◽

Topological Properties ◽

The Relationship

The relationship between energetic and topological properties of crystals with weak electrostatic intermolecular interactions and thermodynamic data are presented.

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Algorithmic Manifold and Space Complexity

10.31219/osf.io/ru3j3 ◽

2017 ◽

Author(s):

Takuya Yabu

Keyword(s):

Time Complexity ◽

Space Complexity ◽

Turing Machines ◽

Topological Properties ◽

The Relationship

In the previous paper, algorithmic manifolds were applied to the time complexity and discussed.　In this paper, I define algorithmic manifolds expressing space complexity and discuss topological properties. I also discuss the relationship between non-deterministic space complexity problems and deterministic Turing machines.

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Network Architecture and Mutational Sensitivity of the C. elegans Metabolome

10.1101/181511 ◽

2017 ◽

Author(s):

Lindsay M. Johnson ◽

Luke M. Chandler ◽

Sarah K. Davies ◽

Charles F. Baer

Keyword(s):

Metabolic Network ◽

Shortest Path ◽

Network Architecture ◽

Path Length ◽

Spontaneous Mutation ◽

Network Centrality ◽

Topological Properties ◽

C Elegans ◽

Evolutionary Forces ◽

The Relationship

AbstractA fundamental issue in evolutionary systems biology is understanding the relationship between the topological architecture of a biological network, such as a metabolic network, and the evolution of the network. The rate at which an element in a metabolic network accumulates genetic variation via new mutations depends on both the size of the mutational target it presents and its robustness to mutational perturbation. Quantifying the relationship between topological properties of network elements and the mutability of those elements will facilitate understanding the variation in and evolution of networks at the level of populations and higher taxa.We report an investigation into the relationship between two topological properties of 29 metabolites in the C. elegans metabolic network and the sensitivity of those metabolites to the cumulative effects of spontaneous mutation. The relationship between several measures of network centrality and sensitivity to mutation is weak, but point estimates of the correlation between network centrality and mutational variance are positive, with only one exception. There is a marginally significant correlation between core number and mutational heritability. There is a small but significant negative correlation between the shortest path length between a pair of metabolites and the mutational correlation between those metabolites.Positive association between the centrality of a metabolite and its mutational heritability is consistent with centrally-positioned metabolites presenting a larger mutational target than peripheral ones, and is inconsistent with centrality conferring mutational robustness, at least in toto. The weakness of the correlation between shortest path length and the mutational correlation between pairs of metabolites suggests that network locality is an important but not overwhelming factor governing mutational pleiotropy. These findings provide necessary background against which the effects of other evolutionary forces, most importantly natural selection, can be interpreted.

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3D PRINTER’S PARAMETER OPTIMIZATION FOR POTENTIAL PATIENT SPECIFIC IMPLANT FABRICATION

Jurnal Teknologi ◽

10.11113/jt.v76.5718 ◽

2015 ◽

Vol 76 (7) ◽

Author(s):

Abdul Manaf Abdullah ◽

Dasmawati Mohamad ◽

Tuan Noraihan Azila Tuan Rahim ◽

Hazizan Md Akil ◽

Zainul Ahmad Rajion

Keyword(s):

Surface Roughness ◽

Testing Machine ◽

Patient Specific ◽

3D Printer ◽

Topological Properties ◽

Layer Height ◽

Universal Testing ◽

Potential Patient ◽

Relationship Of ◽

The Relationship

This study attempted to investigate the effect of printing orientation and layer height on mechanical and topological properties of printed ABS specimens. 2 printing orientations (xy and yz) with 3 different layer heights (0.1, 0.2 and 0.3mm) were chosen and specimens were printed utilizing a 3D printer. Tensile, morphological and topological properties were evaluated utilizing Universal Testing Machine (Shimadzu AGX-2plus), FESEM and surface profilometer respectively. Statistical analysis of two-way Anova was carried out to investigate the relationship of layer height and printing orientation on the tensile strength and surface roughness of the specimens

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On weakly Hurewicz spaces

Filomat ◽

10.2298/fil1504667s ◽

2015 ◽

Vol 29 (4) ◽

pp. 667-671 ◽

Cited By ~ 1

Author(s):

Yan-Kui Song ◽

Rui Li

Keyword(s):

Dense Subset ◽

Topological Properties ◽

The Relationship

A space X is weakly Hurewicz if for each sequence (Un : n ? N) of open covers of X, there are a dense subset Y ? X and finite subfamilies Vn ? Un(n ? N) such that for every point of Y is contained in SVn for all but finitely many n. In this paper, we investigate the relationship between Hurewicz spaces and weakly Hurewicz spaces, and also study topological properties of weakly Hurewicz spaces.

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