• Title/Summary/Keyword: relation

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A Study of Plasma Heating High Voltage miliwave (플라즈마 가열용 대전력 미리파 장치 연구)

  • Kim, Won-Sop;Kim, Jeong-Man
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2007.11a
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    • pp.522-522
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    • 2007
  • We observed new physical phenomia. The dispersion relation and the distributions of RF electric field in the corrugated wall waveguide are analyzed numerically. The measurement of the dispersion relation are obsered by a plunger method employed in the slow wave structure for linear accelerators.

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A FIXED POINT THEOREM ON PARTIAL METRIC SPACES SATISFYING AN IMPLICIT RELATION

  • Chang Il Kim;Gil Jun Han
    • The Pure and Applied Mathematics
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    • v.30 no.1
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    • pp.25-34
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    • 2023
  • Popa [14] proved the common fixed point theorem using implicit relations. Saluja [17] proved a fixed point theorem on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.

A RECURRENCE RELATION ASSOCIATED WITH UNIT-PRIMITIVE MATRICES

  • Byeong-Gil Choe;Hyeong-Kwan Ju
    • Honam Mathematical Journal
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    • v.46 no.1
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    • pp.136-145
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    • 2024
  • In this paper we obtained several properties that the characteristic polynomial of the unit-primitive matrix satisfies. In addition, using these properties we have shown that the recurrence relation given as in the formula (1) is true. In fact, Xin and Zhong ([4]) showed it earlier. However, we provide a simpler method here.

APPLICATION OF THE RELATION ASSOCIATED WITH 3F2 DUE TO THOMAE

  • KIM, YONG SUP;LEE, SEUNG WOO;SONG, HYEONG KEE;NAM, IN KYEONG
    • Honam Mathematical Journal
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    • v.26 no.1
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    • pp.133-136
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    • 2004
  • By elementry manipulation of series together with summations of Gauss and $Saalsch\ddot{u}tz$, Exton deduced a new two term relation for the hypergeometric function $_3F_2(1)$. The aim of this paper is to derive Exton's result from Thomae's formula, together with two known integral formulas and the Euler's transformation for $_2F_1$.

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Estimation of the Lubricating Oil Rheology at High Pressure Based on Phase Diagram

  • Rahman, Md.Z.;Ohno, N.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.85-86
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    • 2002
  • For rheology investigation of lubricating oils, first phase diagrams were made from determined free volume based on density measurements and the temperature-pressure relation was estimated using the expansion coefficient of free volume and the temperature-pressure relation of the viscoelastic transition point. Next, the authors proposed the density-pressure-temperature relation and the viscosity-pressure-temperature relation of the tested oils based on the free volume and the phase diagrams. Moreover, it was shown that the Ehrenfest equation or the gradient of the phase diagram is closely related to the expansion coefficient of free volume.

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The Environmental Dependence of the Mass-Size Relation in the Most Massive Galaxies

  • Yoon, Yongmin;Im, Myungshin
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.1
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    • pp.76.1-76.1
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    • 2015
  • We study the environmental dependence of the mass-size relation especially for the most massive early type galaxies (M>$10^{11.2}M_{\odot}$) in the redshift range 0.15~0.25. As a measure of the environment, galaxy number densities are measured by the $10^{th}$ nearest galaxies within 7000km/s from galaxies with spectroscopic redshifts. We find that galaxies more massive than $10^{11.6}M_{\odot}$ show the environmental dependence in the mass-size relation. The galaxies with M>$10^{11.6}M_{\odot}$ located in the densest, cluster like environment have larger sizes than their counterparts located in a low dense environment. We also find that this environmental dependence of the mass-size relation originates from the brightest cluster galaxies (BCG) rather than non-BCG galaxies. Our result can be explained with a hierarchical growth of the most massive galaxies through dissipation-less merger in dense environments.

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COMMUTATIVE RINGS DERIVED FROM FUZZY HYPERRINGS

  • Davvaz, Bijan;Firouzkouhi, Narjes
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.219-234
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    • 2020
  • The fundamental relation on a fuzzy hyperring is defined as the smallest equivalence relation, such that the quotient would be the ring, that is not commutative necessarily. In this paper, we introduce a new fuzzy strongly regular equivalence on fuzzy hyperrings, where the ring is commutative with respect to both sum and product. With considering this relation on fuzzy hyperring, the set of the quotient is a commutative ring. Also, we introduce fundamental functor between the category of fuzzy hyperrings and category of commutative rings and some related properties. Eventually, we introduce α-part in fuzzy hyperring and determine some necessary and sufficient conditions so that the relation α is transitive.

Improving accessibility and distinction between negative results in biomedical relation extraction

  • Sousa, Diana;Lamurias, Andre;Couto, Francisco M.
    • Genomics & Informatics
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    • v.18 no.2
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    • pp.20.1-20.4
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    • 2020
  • Accessible negative results are relevant for researchers and clinicians not only to limit their search space but also to prevent the costly re-exploration of research hypotheses. However, most biomedical relation extraction datasets do not seek to distinguish between a false and a negative relation among two biomedical entities. Furthermore, datasets created using distant supervision techniques also have some false negative relations that constitute undocumented/ unknown relations (missing from a knowledge base). We propose to improve the distinction between these concepts, by revising a subset of the relations marked as false on the phenotype-gene relations corpus and give the first steps to automatically distinguish between the false (F), negative (N), and unknown (U) results. Our work resulted in a sample of 127 manually annotated FNU relations and a weighted-F1 of 0.5609 for their automatic distinction. This work was developed during the 6th Biomedical Linked Annotation Hackathon (BLAH6).

Do Simple Objects Facilitate Infants' Formation of a Spatial Category?

  • Park, You-Jeong;Casasola, Marianella;Kim, Jin-Wook
    • Child Studies in Asia-Pacific Contexts
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    • v.2 no.2
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    • pp.77-90
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    • 2012
  • The present study investigated infants' ability to form a category of a support relation (i.e., "on") when the objects depicting the relation were perceptually simple versus more complex. Twenty Korean infants of 14 months were habituated to dynamic support events with objects that were either simple or more complex in appearance. They were then tested with events that differed from the habituation events in the specific objects, spatial relation, or both. Infants formed a support category whether familiarized to simple or complex objects, looking significantly longer at test events with a novel than familiar relation. The results indicate that at 14 months of age, object features do not impact infants' ability to form a categorical representation of support.