• Title/Summary/Keyword: degree sequence

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SOME CONSIDERATIONS ABOUT UPPER BOUNDS ON THE SUM OF SQUARES OF DEGREES

  • Kim, Hwa-Joon;Supratid, S.;Kitbmrungrat, K.;Liemmance, W.;Julraksa, N.
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.865-873
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    • 2009
  • Goodman([3]) presented the question of finding a best possible upper bound of the form $t(G)\;+\;t(G^c)$, where t(G) denote the number of triangles in given graph G. In this, the form of squares of degrees is appeared and many researches have been pursued as an application related to this. Here, we would like to deal with corollary related to the results of Nikiforov([6]).

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Study on Refinement of Hwasun Flint Clay (화순산 경질점토의 정제에 관한 연구)

  • 박금철;장영재
    • Journal of the Korean Ceramic Society
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    • v.27 no.6
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    • pp.769-776
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    • 1990
  • This study deals with the refinement of Hwasun flint clay by grinding, classifying, magnetic separation and acid treatment in sequence. Results are as follows ; 1. Fine kaolinite particles of median size in the range of 4.8 and 1.7$\mu\textrm{m}$ was collected, with the yield of 87.4% by dry grinding and classifying process. 2. It is proven that the iron bearing are of Hwasun flint clay is mainly consisted of chloritoid and iron rich muscovite. 3. As the results of the high gradient magnetic separation, the bleaching and iron removal degree of the dry grinding and classifying sample was 4-58% and 5-62% respectively. 4. As the results of the acid treatment, bleaching and weight loss degree of the dry grinding and classifying sample was reduced to 16-82% and 6-29% respectively.

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The Change of Interactions of Chitosan/Sodium Dodecyl Sulfate in the Presence of Electrolytes (전해질 첨가에 따른 키토산/Sodium Dodecyl Sulfate 상호작용의 변화)

  • 배현숙;강인숙
    • Journal of the Korean Society of Clothing and Textiles
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    • v.27 no.5
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    • pp.523-523
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    • 2003
  • The change of interactions of anionic surfactants, sodium dodecyl sulfate(SDS) and sodium tetradecyl sulfate(575) in the presence of electrolytes, to the chitosan-based polyelectrolyte(sol'n and gel phase) were studied. The chitosan gel used in this study were crosslinked with epichlorohydrin(ECH). Binding isotherms were determined by potentiometric technique using a surfactant ion selective solid-state electrode and the results were represented by using the sequence generating function(SGF) method. The results of binding isotherm were shown comparatively high cooperativity. The addition of electrolytes in the chitosan/SDS system resulted in a shift of the binding to higher free surfactant concentration because of screen effect by the electrolytes. Degree of binding of chitosan gel was higher than that of chitosan sol'n. And also a conformational phase transition of the chitosan gel in the presence of electrolytes has been investigated.

The Change of Interactions of Chitosan/Sodium Dodecyl Sulfate in the Presence of Electrolytes (전해질 첨가에 따른 키토산/Sodium Dodecyl Sulfate 상호작용의 변화)

  • 배현숙;강인숙
    • Journal of the Korean Society of Clothing and Textiles
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    • v.27 no.5
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    • pp.524-532
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    • 2003
  • The change of interactions of anionic surfactants, sodium dodecyl sulfate(SDS) and sodium tetradecyl sulfate(575) in the presence of electrolytes, to the chitosan-based polyelectrolyte(sol'n and gel phase) were studied. The chitosan gel used in this study were crosslinked with epichlorohydrin(ECH). Binding isotherms were determined by potentiometric technique using a surfactant ion selective solid-state electrode and the results were represented by using the sequence generating function(SGF) method. The results of binding isotherm were shown comparatively high cooperativity. The addition of electrolytes in the chitosan/SDS system resulted in a shift of the binding to higher free surfactant concentration because of screen effect by the electrolytes. Degree of binding of chitosan gel was higher than that of chitosan sol'n. And also a conformational phase transition of the chitosan gel in the presence of electrolytes has been investigated.

Topology Characteristics and Generation Models of Scale-Free Networks

  • Lee, Kang Won;Lee, Ji Hwan
    • Journal of information and communication convergence engineering
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    • v.19 no.4
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    • pp.205-213
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    • 2021
  • The properties of a scale-free network are little known; its node degree following a power-law distribution is among its few known properties. By selecting real-field scale-free networks from a network dataset and comparing them to other networks, such as random and non-scale-free networks, the topology characteristics of scale-free networks are identified. The assortative coefficient is identified as a key metric of a scale-free network. It is also identified that most scale-free networks have negative assortative coefficients. Traditional generation models of scale-free networks are evaluated based on the identified topology characteristics. Most representative models, such as BA and Holme&Kim, are not effective in generating real-field scale-free networks. A link-rewiring method is suggested that can control the assortative coefficient while preserving the node degree sequence. Our analysis reveals that it is possible to effectively reproduce the assortative coefficients of real-field scale-free networks through link-rewiring.

APPROXIMATION OF LIPSCHITZ CLASS BY DEFERRED-GENERALIZED NÖRLUND (D𝛾𝛽.Npq) PRODUCT SUMMABILITY MEANS

  • JITENDRA KUMAR KUSHWAHA;LAXMI RATHOUR;LAKSHMI NARAYAN MISHRA;KRISHNA KUMAR
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.1057-1069
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    • 2023
  • In this paper, we have determined the degree of approximation of function belonging of Lipschitz class by using Deferred-Generalized Nörlund (D𝛾𝛽.Npq) means of Fourier series and conjugate series of Fourier series, where {pn} and {qn} is a non-increasing sequence. So that results of DEGER and BAYINDIR [23] become special cases of our results.

Studies on Mammalian Homolog and Flanking Sequence of Mouse MT Transposon-like Element, Clone MTi7(MTi7) (생쥐의 MT Transposon-like Element, Clone MTi7(MTi7) 유전자의 포유류 Homolog 및 Flanking Sequence에 대한 연구)

  • Kim Young-Hoon;Ko Minsu;Woo Dae-Gyun;Choi Donchan;Lee Kyung-Ah
    • Development and Reproduction
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    • v.7 no.2
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    • pp.119-126
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    • 2003
  • In the previous study, we obtained list of differentially expressed genes between postnatal day 1 and day 5 mouse ovaries using suppression subtractive hybridization(SSH) and found that MT Oansposon-like element, clone MTi7(MTi7) was one of the highly expressed genes in the day 5 mouse ovary(Park et at., 2002). Results of in situ hybridization and RNA interference revealed that the expression of MTi7 is oocyte-specific in the ovary and may be involved in the regulation of oocyte maturation(Park et at., 2003). At present, MTi7 sequence has been known only in the mouse. Therefore, the present study was accomplished 1) to identify MTi7 sequence in the other mammalian species, such as bovine, porcine, rat, and human, and 2) to evaluate the flanking sequence of the mouse MTi7 since it has transposon characteristics. Using ovarian cDNAs derived from low different species, we cloned and identified new MTi7 sequence showing a high degree of sequence homology with the mouse MTi7(87∼98%). By using inverse PCR, we found that the mouse MTi7 may intercalated the beta-carotene 15, 15'-monooxygenase(Bcdo) gene and/or serine protease inhibitor, Kunitz Dpe I(Spint 1) gene. By finding the MTi7 sequences in the other mammalian species and the flanking gene of the MTi7 in mouse, it is expected to reveal the role(s) of MTi7 in the oogenesis as well as folliculogenesis in the near future.

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Mobile Communications System and Its Development Vision (이동통신 시스템과 개발 비전(I))

  • 조규심
    • Journal of the Korean Professional Engineers Association
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    • v.31 no.1
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    • pp.9-16
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    • 1998
  • For the flow facing high1y informationized age, there is a flow from fixed communications connecting fixed places such as offices and homes to mobile communications connecting mobile objets such as automobiles, ships and aircraft. This flow has added to diversifying communications Including data and images. While the axed mode is diversifying information media by digitalization of communications network and computers, the mobile mode has brought higher sophistication of communication modes by a higher degree of electric wave utilization. The following descriptions outlines the mobile communication which is utilizing the electric wave phenomena. In sequence the following items are described: a brief history of mobile communications, the technical object and various kinds of services, propagation of electric wave signal.

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A NOTE ON GREEDY ALGORITHM

  • Hahm, Nahm-Woo;Hong, Bum-Il
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.293-302
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    • 2001
  • We improve the greedy algorithm which is one of the general convergence criterion for certain iterative sequence in a given space by building a constructive greedy algorithm on a normed linear space using an arithmetic average of elements. We also show the degree of approximation order is still $Ο(1\sqrt{\n}$) by a bounded linear functional defined on a bounded subset of a normed linear space which offers a good approximation method for neural networks.

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Certain Polynomials Related to Chebyshev Polynomials

  • Kim, Seon-Hong
    • Journal of Integrative Natural Science
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    • v.4 no.3
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    • pp.227-228
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    • 2011
  • Bae and Kim displayed a sequence of 4th degree self-reciprocal polynomials whose maximal zeros are related in a very nice and far from obvious way. The auxiliary polynomials in their results that parametrize their coefficients are of significant independent interest. In this note we show that such auxiliary polynomials are related to Chebyshev polynomials.