• Title/Summary/Keyword: m-family

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A COMMENT ON GOLDBACH'S CONJECTURE

  • Mozzochi, C.J.
    • Kyungpook Mathematical Journal
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    • v.19 no.2
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    • pp.237-239
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    • 1979
  • No matter how one chooses the major arcs in the decomposition of $[x_0,\;x_0+1]$ it is always true with regard to the union, m(n), of the corresponding minor arcs that the integal of $f^2(x,\;n)$ e(-nx) over m(n) is $O(nlog^{-1}n)$. Consequently, to establish a proof of the asymptotic formulation of Goldbach's conjecture one might be tempted to take this fact as a starting point and to then concentrate the attact on trying to obtain the requisite estimate on the integral of $f^2(x,\;n)$ e(-nx) over M(n), the union of a suitably chosen family of major arcs. In this paper I show that this approach is not possible.

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Dielectric Classification and Addition of New Ferroelectric Members by Synthesis for Perovskite Titanate Family

  • Nakamura, Testsuro;Shan, Yue Jin;Miyata, Mayuko;Kobashi, Kazuhisa;Inaguma, Yoshiyuki;Itoh, Mitsuru
    • The Korean Journal of Ceramics
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    • v.5 no.1
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    • pp.82-86
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    • 1999
  • For nonconducting perovskite titanates ATiO3 and A'1/2A"1/2TiO3, 5 ferroelectric members were discriminated from 17 quantum paraelectric members via average mass of A ions m(A): ferroelectric for m(A)〉110 a.u. and quantum paraelectric for m(A)<100 a.u. An intuitive explanation of the origin of the discrimination is given concenrned with the ferroelectric soft modes in perovskite ATiO3. Based on the above discrimination, trial synthesis of ferroelectric candiate substances are presented.

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A Study of the Embryonic Development and the Egg Deposition of Corbicula fluminea (Palaeoheterodonta: Corbiculidae) (의암호산(衣岩湖産) 재첩 (Corbicula fluminea)의 산란(産卵)과 발생(發生)에 관(關)한 연구(硏究))

  • Kwon, Oh-Kil;Lee, Jun-Sang;Park, Gap-Man
    • The Korean Journal of Malacology
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    • v.2 no.1
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    • pp.26-29
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    • 1986
  • Corbicula fluminea, one of the 2 species in the family Corbiculidae living in the Lake Uiam, was used as an experimental material and the embryonic development and the structure of glochidia of this species were investigated. This freshwater mussels was oviparous, but some ovoviviparous: incubated their youngs in the inner-demibranchs or outer-demibranchs, however, chiefly used the inner-demibranchs as brood-pouch. The average time required from a fertilized egg to two-cell stage, veliger stage, and glochidium was 76 minutes, 3 hours, and 17 hours, respectively, The mean size of glochidium was $168{\mu}m$ in shell height, $195{\mu}m$ in shell lengh, $114{\mu}m$ in hinge legth and the form of glochidium was D-type and had no hooks or hooklets for attaching to fish like Unioidae.

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Meaning and Transfiguration of Maru/Taechong Space in the Modernization of Housing in Korea (마루.대청의 의미와 변용)

  • ZongInKim
    • Journal of the Korean housing association
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    • v.1 no.1
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    • pp.27-35
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    • 1990
  • In the course of modernization coupled with industrialization and urbanization. Maru or wooden floor and Teachong or great hall of Han-ok or traditional Korean housing has experienced functional as well as physical changes to a remarkable degree. The author made an analysis of the transfiguration of Maru/Taechong space(M/T) with relation to: 1)Madang or yard. 2)Anbang or inner room, 3)Hyon-kwan or vestibule. 1) In relation to Madang, interiorization of M/T by way of setting sliding glass doors has begun to appear. 2) In connection with Anbang, division of role/function is being observed as far as family entertainment and reception of intimate friends is concerned. 3) Owing to wider acceptance of Hyon-kwan space as a buffer zone system, the advent of Keo-sil or living room is thought to be facilitated. The analysis, however, does not say that Keo-sil of modernized Korean housing might well be interpreted as the mere extension type of M/T of the vernacular housing.

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QUASI m-CAYLEY STRONGLY REGULAR GRAPHS

  • Kutnar, Klavdija;Malnic, Aleksander;Martinez, Luis;Marusic, Dragan
    • Journal of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1199-1211
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    • 2013
  • We introduce a new class of graphs, called quasi $m$-Cayley graphs, having good symmetry properties, in the sense that they admit a group of automorphisms G that fixes a vertex of the graph and acts semiregularly on the other vertices. We determine when these graphs are strongly regular, and this leads us to define a new algebro-combinatorial structure, called quasi-partial difference family, or QPDF for short. We give several infinite families and sporadic examples of QPDFs. We also study several properties of QPDFs and determine, under several conditions, the form of the parameters of QPDFs when the group G is cyclic.

ON 𝜃-MODIFICATIONS OF GENERALIZED TOPOLOGIES VIA HEREDITARY CLASSES

  • Al-Omari, Ahmad;Modak, Shyamapada;Noiri, Takashi
    • Communications of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.857-868
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    • 2016
  • Let (X, ${\mu}$) be a generalized topological space (GTS) and $\mathcal{H}$ be a hereditary class on X due to $Cs{\acute{a}}sz{\acute{a}}r$ [8]. In this paper, we define an operator $()^{\circ}:\mathcal{P}(X){\rightarrow}\mathcal{P}(X)$. By setting $c^{\circ}(A)=A{\cup}A^{\circ}$ for every subset A of X, we define the family ${\mu}^{\circ}=\{M{\subseteq}X:X-M=c^{\circ}(X-M)\}$ and show that ${\mu}^{\circ}$ is a GT on X such that ${\mu}({\theta}){\subseteq}{\mu}^{\circ}{\subseteq}{\mu}^*$, where ${\mu}^*$ is a GT in [8]. Moreover, we define and investigate ${\mu}^{\circ}$-codense and strongly ${\mu}^{\circ}$-codense hereditary classes.

Simple Purification of Bromelain from Pineapple

  • Ko, Bo-Sung;Hwang, Yong-Il;Lee, Seung-Cheol
    • Preventive Nutrition and Food Science
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    • v.1 no.1
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    • pp.106-110
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    • 1996
  • Bromelain(EC 3.4.22.4), the collective name for the proteolytic enzymes found in tissues of the plant family Bromeliaceae(pineapple), has been used as a tenderizing agent in food processing, and as an antiinflammatory agent in pharmaceuticals. In this paper, we describe the simple purification method of bromelain using Korean pineapple fruit. After removing contaminants at 30% saturation of ammonium sulfate, the supernatant obtained was treated again with ammonium sulfate to 80% saturation. Wit the above salt fractionation, partially purified bromelain could be obtained. To get highly purified bromelain, the previous 30% to 80% ammonium sulfate treated precipitate was dialyzed against 25mM sodium acetate buffer(pH 5.0) followed by passing through a CM- cellulose cation exchange column. Fruit bromelain was eluted as a major peak at 0.5~0.8M NaCI gradient. The present method is simpler with high wield than the traditional purification method-acetone treatment and several consecutive chromatographic processes.

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Molecular Characterization of Three cDNA Clones Encoding Calmodulin Isoforms of Rice

  • Lee, Sung-Ho;Kim, Cha Young;Lim, Chae Oh;Lee, Soo In;Gal, Sang Wan;Choi, Young Ju
    • Journal of Applied Biological Chemistry
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    • v.43 no.1
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    • pp.5-11
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    • 2000
  • Three cDNA clones encoding rice calmodulin (CaM) isoforms (OsCaM-1, OsCaM-2, and OsCaM-3) were isolated from a rice cDNA library constructed from suspension-cultured rice cells treated with fungal elicitor. The coding regions of OsCaM-1 and O.sCaM-2 were 89% homologous at DNA Ievel, whereas the 5' and 3' untranslated regions were highly divergent. The polypeptides encoded by OsCaM-1 and OsCaM-2 was identical except two conservative substitution at position 8 and 75. The coding region of OsCaM-3 was consist of a typical conserved CaM domain and an additional C-terminal extension. The amino acid sequence of conserved CaM domain of OsCaM-3 shared only 86% identity with that OsCaM-1. The OsCaM-3 cDNA is belongs to a novel group of calmodulin gene due to its C-terminal extension of 38 amino acids, a large number of which are positively charged. The extension also contains a C-terminal CaaX-box prenylation site (CVlL). Genomic Southern analysis revealed at least six copies of CaM or CaM-related genes, suggesting that calmodulin may be represented by a small multigene family in the rice geneme. Expression of OsCaM gene was examined through Northern blot analysis. Transcript level of OsCaM-3 was increased by treatment with a fungal elicitor, whereas the OsCaM-1 and OsCaM-2 genes did not respond to the fungal elicitor. The expression of OsCaM-3 gene was remarkable inhibited in the rice cells treated with cyclosporine A, calcinurin inhibitor.

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Cloning of the Bacillus subtilis AMX-4 Xylanase Gene and Characterization of the Gene Product

  • Yoon, Ki-Hong
    • Journal of Microbiology and Biotechnology
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    • v.19 no.12
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    • pp.1514-1519
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    • 2009
  • A gene encoding the xylanase of Bacillus subtilis AMX-4 isolated from soil was cloned into Escherichia coli and the gene product was purified from the cell-free extract of the recombinant strain. The gene, designated xylA, consisted of 639 nucleotides encoding a polypeptide of 213 residues. The deduced amino acid sequence was highly homologous to those of xylanases belonging to glycosyl hydrolase family 11. The molecular mass of the purified xylanase was 23 kDa as estimated by SDS-PAGE. The enzyme had a pH optimum of 6.0-7.0 and a temperature optimum of $50-55^{\circ}C$. Xylanase activity was significantly inhibited by 5 mM $Cu^{2+}$ and 5 mM $Mn^{2+}$, and noticeably enhanced by 5 mM $Fe^{2+}$. The enzyme was active on xylans including arabinoxylan, birchwood xylan, and oat spelt xylan, but it did not exhibit activity toward carboxymethylcellulose or p-nitrophenyl-$\beta$-xylopyranoside. The predominant products resulting from xylan and xylooligosaccharide hydrolysis were xylobiose and xylotriose. The enzyme could hydrolyze xylooligosaccharides larger than xylotriose.

Bit Error Probability of Noncoherent M-ary Orthogonal Modulation over Generalized Fading Channels

  • Simon, Marvin K.;Alouini, Mohamed-Slim
    • Journal of Communications and Networks
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    • v.1 no.2
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    • pp.111-117
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    • 1999
  • Using a method recently reported in the literature for analyzing the bit error probability (BEP) performance of noncoherent Mary orthogonal signals with square-law combining in the presence of independent and identically distributed Nakagami-m faded paths, we are able to reformulate this method so as to apply to a generalized fading channel in which the fading in each path need not be identically distributed nor even distributed ac-cording to the same family of distribution. The method leads to exact expressions for the BEP in the form of a finite-range integral whose integrand involves the moment generating function of the combined signal-to-noise ratio and which can therefore be readily evaluated numerically. The mathematical formalism is illustrated by applying the method to some selected numerical examples of interest showing the impact of the multipath intensity profile (MIP) as well as the fading correlation profile (FCP) on the BEP performance of M-ary orthogonal signal over Nakagami-m fading channels. Thses numerical results show that both MIP and FCP induce a non-negligible degradition in the BEP and have therefore to be taken into account for the accurate prediction of the performance of such systems.

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