• Title/Summary/Keyword: e-open sets

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ON STRONGLY θ-e-CONTINUOUS FUNCTIONS

  • Ozkoc, Murad;Aslim, Gulhan
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.1025-1036
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    • 2010
  • A new class of generalized open sets in a topological space, called e-open sets, is introduced and some properties are obtained by Ekici [6]. This class is contained in the class of $\delta$-semi-preopen (or $\delta-\beta$-open) sets and weaker than both $\delta$-semiopen sets and $\delta$-preopen sets. In order to investigate some different properties we introduce two strong form of e-open sets called e-regular sets and e-$\theta$-open sets. By means of e-$\theta$-open sets we also introduce a new class of functions called strongly $\theta$-e-continuous functions which is a generalization of $\theta$-precontinuous functions. Some characterizations concerning strongly $\theta$-e-continuous functions are obtained.

Some Topologies Induced by b-open Sets

  • El-Monsef, M.E. Abd;El-Atik, A.A.;El-Sharkasy, M.M.
    • Kyungpook Mathematical Journal
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    • v.45 no.4
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    • pp.539-547
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    • 2005
  • The class of b-open sets in the sense of $Andrijevi{\acute{c}}$ ([3]), was discussed by El-Atik ([9]) under the name of ${\gamma}-open$ sets. This class is closed under arbitrary union. The aim of this paper is to use ${\Lambda}-sets$ and ${\vee}-sets$ due to Maki ([15]) some topologies are constructed with the concept of b-open sets. $b-{\Lambda}-sets,\;b-{\vee}-sets$ are the basic concepts introduced and investigated. Moreover, several types of near continuous function based on $b-{\Lambda}-sets,\;b-{\vee}-sets$ are constructed and studied.

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Decomposition of fuzzy ideal continuity via fuzzy idealization

  • Zahran, Ahmed M.;El-Baki, S. Ahmed Abd;Saber, Yaser Mohammed
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.2
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    • pp.83-93
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    • 2009
  • Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy $\alpha$-I-open and r-fuzzy $\beta$-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy $\alpha$-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Sostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal $\alpha$-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

PHYSICAL PARAMETERS OF THE OLD OPEN CLUSTER TRUMPLER 5

  • KIM SANG CHUL;SUNG HWANKYUNG
    • Journal of The Korean Astronomical Society
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    • v.36 no.1
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    • pp.13-19
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    • 2003
  • We present a study of the old open cluster Trumpler 5 (Tr 5), based on the CDS archival data. From the color-magnitude diagrams of Tr 5, we have found the positions of main-sequence turn-off (MSTO) and red giant clump (RGC) stars. Using the mean magnitude of the RGC stars, we have estimated the reddening toward Tr 5, E(B - V) = 0.60 $\pm$ 0.10. Using the stars common in two data sets and the theoretical isochrones of Padova group, we have estimated the distance modulus $V_o - M_v = 12.64 {\pm} 0.20 (d = 3.4 {\pm} 0.3 kpc)$, the metallicity [Fe/H) = -0.30 $\pm$ 0.10, and the age of 2.4 $\pm$ 0.2 Gyr (log t = 9.38). These metallicity and distance values are consistent with the relation between the metallicity and the Galactocentric distance of other old open clusters, for which we obtain the slope of ${\Delta}[Fe/H]/ R_{gc} = -0.064 {\pm} 0.010\;dex\;kpc^{-1}$.

A NEW VERTEX-COLORING EDGE-WEIGHTING OF COMPLETE GRAPHS

  • Farahani, Mohammad Reza
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.1-6
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    • 2014
  • Let G = (V ; E) be a simple undirected graph without loops and multiple edges, the vertex and edge sets of it are represented by V = V (G) and E = E(G), respectively. A weighting w of the edges of a graph G induces a coloring of the vertices of G where the color of vertex v, denoted $S_v:={\Sigma}_{e{\ni}v}\;w(e)$. A k-edge-weighting of a graph G is an assignment of an integer weight, w(e) ${\in}${1,2,...,k} to each edge e, such that two vertex-color $S_v$, $S_u$ be distinct for every edge uv. In this paper we determine an exact 3-edge-weighting of complete graphs $k_{3q+1}\;{\forall}_q\;{\in}\;{\mathbb{N}}$. Several open questions are also included.

Fully connecting the Observational Health Data Science and Informatics (OHDSI) initiative with the world of linked open data

  • Banda, Juan M.
    • Genomics & Informatics
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    • v.17 no.2
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    • pp.13.1-13.3
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    • 2019
  • The usage of controlled biomedical vocabularies is the cornerstone that enables seamless interoperability when using a common data model across multiple data sites. The Observational Health Data Science and Informatics (OHDSI) initiative combines over 100 controlled vocabularies into its own. However, the OHDSI vocabulary is limited in the sense that it combines multiple terminologies and does not provide a direct way to link them outside of their own self-contained scope. This issue makes the tasks of enriching feature sets by using external resources extremely difficult. In order to address these shortcomings, we have created a linked data version of the OHDSI vocabulary, connecting it with already established linked resources like bioportal, bio2rdf, etc. with the ultimate purpose of enabling the interoperability of resources previously foreign to the OHDSI universe.

Identification of Conductive Fractures in Crystalline Recks (유동성 단열 파악을 위한 암반 내 단열특성 규명)

  • 채병곤;최영섭;이대하;김원영;이승구;김중렬
    • Journal of the Korean Society of Groundwater Environment
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    • v.5 no.2
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    • pp.88-100
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    • 1998
  • Since fractures may serve as major conduits of groundwater flow in crystalline rocks, characterization of conductive fractures is especially important for interpretation of flow system. In this study, characterization of fractures to investigate hydraulically conductive fractures in gneisses at an abandoned mine area was performed. The orientation, width, length, movement sense, infilling materials, spacing, aperture, roughness of both joints and faults and intersection and connectivity to other joints were measured on outcrops. In addition, characteristics of subsurface fractures were examined by core logging in five boreholes, of which the orientations were acquired by acoustic televiewer logging from three boreholes. The dominant fracture sets were grouped from outcrops; GSet 1: N50-82$^{\circ}$E/55-90$^{\circ}$SE, GSet 2: N2-8$^{\circ}$E/56-86$^{\circ}$SE, GSet 3: N46-72$^{\circ}$W/60-85$^{\circ}$NE, GSet 4:Nl2-38$^{\circ}$W/15-40$^{\circ}$SW and from subsurface; HSet 1: N50-90$^{\circ}$E/55-90$^{\circ}$SE, HSet 2: N10-30$^{\circ}$E/50-70$^{\circ}$SE, HSet 3: N20-60$^{\circ}$W/50-80$^{\circ}$NE, HSet 4: N10-50$^{\circ}$E/$\leq$40$^{\circ}$NW. Among them, GSet 1, GSet 3 and HSet 1, HSet 3 are the most intensely developed fracture sets in the study area. The mean fracture spacings of HSet 1 are 30-47cm and code 1 fractures, such as faults and open fractures, comprise 21.0-42.9 percent of the whole fractures in each borehole. HSet 3 shows the mean fracture spacings of 55-57cm and the ratio of code 1 fractures is 15.4-26.9 percent. In spite of the mean fracture spacing of 239cm, code 1 fractures of HSet 4 have the highest ratio of 54.5 percent. From the fact that faults or open fractures have high hydraulic conductivity, it can be inferred that the three fracture sets of N55-85$^{\circ}$E/50-80$^{\circ}$SE, N20-60$^{\circ}$W/50-75$^{\circ}$NE and N10-30$^{\circ}$E/$\leq$30$^{\circ}$NW from a fracture system of relatively high conductivity. It is indirectly verified with geophysical loggings and constant injection tests performed in the boreholes.

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Identification and Characterization of a Conserved Baculoviral Structural Protein ODVP-6E/ODV-E56 from Choristoneura fumiferana Granulovirus

  • Rashidan, Kianoush Khajeh;Nassoury, Nasha;Giannopoulos, Paresa N.;Guertin, Claude
    • BMB Reports
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    • v.35 no.6
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    • pp.595-603
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    • 2002
  • A gene that encodes a homologue to baculoviral ODVP-6E/ODV-E56, a baculoviral envelope-associated viral structural protein, has been identified and sequenced on the genome of Choristoneura fumiferana granulovirus (ChfuGV). The ChfuGV odvp-6e/odv-e56 gene was located on an 11-kb BamHI subgenomic fragment using different sets of degenerated primers, which were designed using the results of the protein sequencing of a major 39 kDa structural protein that is associated with the occlusion-derived virus (ODV). The gene has a 1062 nucleotide (nt) open-reading frame (ORF) that encodes a protein with 353 amino acids with a predicated molecular mass of 38.5 kDa. The amino acid sequence data that was derived from the nucleotide sequence in ChfuGV was compared to those of other baculoviruses. ChfuGV ODVP-6E/ODV-E56, along with othe baculoviral ODVP-6E/ODV-E56 proteins, all contained two putative transmembrane domains at their C-terminus. Several putative N-and O-glycosylation, N-myristoylation, and phosphorylation sites were detected in the ChfuGV ODVP-6E/ODV-E56 protein. A similar pattern was detected when a hydrophobicity-plots comparison was performed on ChfuGV ODVP-6E/ODV-E56 with other baculoviral homologue proteins. At the nucleotide level, a late promoter motif (GTAAG) was located at -14 nt upstream to the start codon of the GhfuGV odvp-6e/odv-e56 gene. a slight variant of the polyadenylation signal, AATAAT, was detected at the position +10 nt that is downstream from the termination signal. A phylogenetic tree for baculoviral ODVP-6E/ODV-E56 was constructed using a maximum parsimony analysis. The phylogenetic estimation demonstrated that ChfuGV ODVP-6E/ODV-E56 is most closely related to those of Cydia pomonella granulovirus (CpGV) and Plutella xylostella granulovirus (PxGV).