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COMMON FIXED POINT THEOREMS FOR TWO SELF MAPS SATISFYING ξ-WEAKLY EXPANSIVE MAPPINGS IN DISLOCATED METRIC SPACE

  • Kim, Jong Kyu;Kumar, Manoj;Preeti, Preeti;Poonam, Poonam;Lim, Won Hee
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.271-287
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    • 2022
  • In this article, we shall prove a common fixed point theorem for two weakly compatible self-maps 𝒫 and 𝔔 on a dislocated metric space (M, d*) satisfying the following ξ-weakly expansive condition: d*(𝒫c, 𝒫d) ≥ d* (𝔔c, 𝔔d) + ξ(∧(𝔔c, 𝔔d)), ∀ c, d ∈ M, where $${\wedge}(Qc,\;Qd)=max\{d^*(Qc,\;Qd),\;d^*(Qc,\;\mathcal{P}c),\;d^*(Qd,\;\mathcal{P}d),\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(Qc,\;Qd)},\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(\mathcal{P}c,\;\mathcal{P}d)}\}$$. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.

C-P-N-D Ecological System and ICCT (Information, Communication, Contents Technology) (C-P-N-D 생태계와 ICCT (Information, Communication, Contents Technology))

  • Choi, ChangHyeon
    • Journal of Digital Convergence
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    • v.12 no.3
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    • pp.7-16
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    • 2014
  • This study aims to analyze the key logic of the current C-P-N-D ICT ecological system, to find out the shortcomings of the current system, and then to offer policy suggestions for the establishment of a new creative contents industry ecological system; that is, ICCT (Information, Communication, Contents and Technology) System.

THE INDEX OF THE CORESTRICTION OF A VALUED DIVISION ALGEBRA

  • Hwang, Yoon-Sung
    • Journal of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.279-284
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    • 1997
  • Let L/F be a finite separable extension of Henselian valued fields with same residue fields $\overline{L} = \overline{F}$. Let D be an inertially split division algebra over L, and let $^cD$ be the underlying division algebra of the corestriction $cor_{L/F} (D)$ of D. We show that the index $ind(^cD) of ^cD$ divides $[Z(\overline{D}) : Z(\overline {^cD})] \cdot ind(D), where Z(\overline{D})$ is the center of the residue division ring $\overline{D}$.

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Studies on the Chemical Structure of the New Polysaccharide C - (The New Polysaccharides of Gum Tragacanth. II) - (Tragacanth gum 의 신다당류(新多糖類) C 의 화학구조(化學構造) - Tragacanth gum의 신다당류(新多糖類)에 관(關)한 연구(硏究) 제2보(第二報) -)

  • Lee, Sung-Hwan
    • Applied Biological Chemistry
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    • v.3
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    • pp.25-48
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    • 1962
  • The polysaccharide C prepared from gum tragacanth powder (U. S. P. grade) by the precipitation method with 85% ethanol was a neutral polysaccharide, $[{\alpha}]^{30}_D-72.2$. The polysaccharide C consisted of L-rhamnose, D-xylose, L-arabinose and D-galactose in the molar ratio 2:1:17:9 (Table 1, 2, 3, ). The polysaccharide C was methylated with dimethylsulphate and 40% NaOH, and Purdies regent. The hydrolyzate of fully methlated product ($[{\alpha}]^{22}_D-102$ in chloroform, the methoxy content 40.6%) was composed of 2, 3, 5-tri-O-methyl-L-arabofuranose (I), 3,4-di-O-methyl-L-rhamnopyranose (II), 2,3-di-O-methyl-D-xylose (III), 2,3,4-tri-O-methyl-D-galactopyranose (IV), 2,4-di-O-methyl-L-arabopyranose (?), 2,4-di-O-methyl-D-galactose(VI), 2-O-methyl-D-arabinose (VII), and L-arabopyranose(VIII) (Table 4, 5, and Fig. 4). The first partial hydrolysis (A) of the polysaccharide C with 0.05N-HCl for 4.5 hours at $80-85^{\circ}C$ released only L-arabinose: the second hydrolysis (B) with 0.1N-HCl for 5 hours at $80-85^{\circ}C$, L-arabinose and D-galactose; and the third hydrolysis (C) with 0.3N-HCl at $90-95^{\circ}C$ in sealed tube, L-rhamnose, D-xylose, L-arabinose and D-galactose. From the unhydrolyzate A' were found L-rhamnose, D-xylose, L-arabinose, and D-galactose; from B' L-rhamnose, d-xylose, L-arabinose and D-galactose; and from C' D-xylose and D-galactose respectively (Table 6). The periodate consumption and formic acid production of the polysaccharide C were measured at various time intervals. After 120 hours periodat was consumed by 1.23 mole per $C_5H_8O_4$ and formic acid was produced 0.78 mole per $C_5H_8O_4$ (Table 7). Although a definite chemical structure for this polysaccharide C may not be formulated, experimental data, especially, from methylation, partial hydrolysie and determination of its molar ratio, and periodate analysis showed that the polysaccharide C is a highly branched polysaccharide and would be constructed of galactoaraban as a main chain residue and L-arabofuranose, D-galactopyranosyl $(1{\rightarrow}1)$-L-arabofuranose, D-xylopyranosyl $(1{\rightarrow}2)$-L-rhamnopyranosyl $(1{\rightarrow}1)$-L-arabofuranose, and L-rhamnopyranosyl $(1{\rightarrow}1)$-arabofuranose, and D-galactopyranosyl-$(1{\rightarrow}2)$-L-arabopyranosyl-$(1{\rightarrow}1)$-I-arabofuranose as a branch chain or end group (page 21).

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Isolation and Characterization of Double Deletion Mutants of nsdD and veA or nsdC, the Genes Positive Regulating Sexual Development of Aspergillus nidulans (Aspergillus nidulans에서 유성분화 능동조절 유전자 nsdD와 veA 또는 nsdC의 이중결실돌연변이의 분리 및 분석)

  • Kim, Lee-Han;Kim, Ha-Eun;Han, Dong-Min
    • Korean Journal of Microbiology
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    • v.49 no.4
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    • pp.419-423
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    • 2013
  • Three genes, nsdD, nsdC, and veA are known to be necessary for positive regulating sexual development of Aspergillus nidulans. Since the mutants of those genes hardly form fruiting bodies in heterokaryons constructed by cross between two of them, it is difficult to isolate double mutants. In this work, double mutants of ${\Delta}nsdD$ ${\Delta}veA$ and ${\Delta}nsdD$ ${\Delta}nsdC$ were isolated using the characteristic of the nsdD deletion mutant that it could develop mature cleistothecia in hypoxic and low temperature culture condition. According to the phenotypes of double mutants, the nsdD gene controls the apical growth independently with veA or nsdC. Deletion of veA or nsdC was epistatic to nsdD deletion for pigment production. Conidia formation in submerged culture with lactose as sole carbon source was observed in ${\Delta}nsdD$ ${\Delta}nsdC$ double mutant implicating it to be unique phenotype of nsdC deletion.

The Effect of Salicylic Acid on $Cd^{2+}$-induced Physiological Toxicity in Commelina communis L. ($Cd^{2+}$에 의한 닭의장풀의 생리적 독성에 salicyclic acid가 미치는 영향)

  • 이준상
    • Korean Journal of Environmental Biology
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    • v.20 no.1
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    • pp.73-77
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    • 2002
  • The effect of salicylic acid (SA) on C $d^{2+}$ - induced physiological toxicity in Commelina communis was investigated. 3- weeks old Commelina communis was transferred to and grown in Hoagland solution in the presence or absence of 100 $\mu$M C $d^{2+}$ and SA for 3 weeks. In the treatment of C $d^{2+}$ + SA, the length of stem was increased to 0.7 cm for 3 weeks (C $d^{2+}$, 2.1cm; control, 7.2 cm). C $d^{2+}$ + SA reduced total chlorophyll content up to 86%, and changed chlorophyll a/b ratio below 1.6. C $d^{2+}$ + SA also reduced about 40-78% of water potential, but C $d^{2+}$ increased 16-39% from 1 week to 3 weeks. C $d^{2+}$ + SA also inhibited 27% of Fv/Fm, but in case of C $d^{2+}$, Fv/Fm was not changed. The treatment of C $d^{2+}$ + SA showed about 37-58% inhibition of photosynthetic activity when measured at various light intensity (500-1000 $\mu$mol $m^{-2}$ $s^{-1}$ ). In the case of C $d^{2+}$ treatment, photosynthetic activity was inhibited to 12-15%. Similar effect was found in terms of stomatal conductance. Therefore, it could be concluded that the treatment of C $d^{2+}$ + SA into plant decrease or block various physiological activities and lend to die by double effects of both chemicals.cts of both chemicals..

Overexpressed Drosophila DNA Methyltransferase 2 Isoform C Interacts with Hsp70 in Vivo

  • Roder, Karim
    • BMB Reports
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    • v.40 no.4
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    • pp.554-561
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    • 2007
  • Shen and colleagues (Lin et al., 2004) have recently shown that overexpression of the Drosophila DNA methyltransferase 2 isoform C, dDnmt2c, extended life span of fruit flies, probably due to increased expression of small heat shock proteins such as Hsp22 or Hsp26. Here, I demonstrate with immunoprecipitations that overexpressed dDnmt2c interacts with endogenous Hsp70 protein in vivo in S2 cells. However, its C-terminal half, dDnmt2c(178-345) forms approximately 10-fold more Hsp70-containing protein complexe than wild-type dDnmt2c. Overexpressed dDnmt2c(178-345) but not the full length dDnmt2c is able to increase endogenous mRNA levels of the small heat shock proteins, Hsp26 and Hsp22. I provide evidence that dDnmt2c(178-345) increases Hsp26 promoter activity via two heat shock elements, HSE6 and HSE7. Simultaneously overexpressed Hsp40 or a dominant negative form of heat shock factor abrogates the dDnmt2c(178-345)-dependent increase in Hsp26 transcription. The data support a model in which the activation of heat shock factor normally found as an inactive monomer bound to chaperones is linked to the overexpressed C-terminus of dDnmt2c. Despite the differences observed in flies and S2 cells, these findings provide a possible explanation for the extended lifespan in dDnmt2c-overexpressing flies with increased levels of small heat shock proteins.

Meaning of the Expression a:b=c:d and Implications for Teaching (비례식 a:b=c:d의 의미 분석과 학습 지도에의 시사점)

  • Yim, Jaehoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.3
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    • pp.273-288
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    • 2019
  • This study focuses on understanding proportionality, in particular, what constitutes relational understanding of a:b=c:d, which is called proportional expression. The meanings of a:b=c:d are analyzed and some suggestions are offered for improving the teaching and learning of it. The equation a:b=c:d has three different meanings. First, it represents two different structures in one proportional situation. Second, it represents a common structure in two different proportional situations. Finally, it represents a number or a quantity underlying in different proportional situations. It is important to choose and use a unit flexibly to understand the first and the second meanings of a:b=c:d, Double strip diagram and double number line are useful to visualize the meanings of a:b=c:d. In addition, what a number or a quantity in the third meaning of a:b=c:d refers to in proportional situations should be emphasized in teaching and learning of a:b=c:d.

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Rapid Screening of Mutant Strains of Trigonopsis variabilis (ATCC10679) for Cephalosporin C Bioconversion and Sequences of D-amino acid oxidase Genes (Cephalosporin C 생물전환을 위한 Trigonopsis variabilis (ATCC10679) 변이균주의 간편한 선별 및 D-amino acid oxidase 유전자 배열)

  • 강용호;박선영
    • KSBB Journal
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    • v.14 no.2
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    • pp.235-240
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    • 1999
  • Simple and rapid screening methods were developed to screen mutant strains of Trigonopsis variabilis ATCC10679 (TW). D-amino acid oxidase (D-AAO) from a mutant strain, T26, showed about 30% higher specific activity against cephalosporin C than from its wild type, TW. D-AAO genes from both TW and T26 strains were cloned and sequenced. There was one nucleotide changed from T to C at 811 position, resulting in an amino acid codon changed from Phe-258 to Ser-258.

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Regression Model for Estimating Biomass of Natural Pinus densifrola Forests in Northeast Area of Mt. Paekdu (백두산 동북부지역 소나무 천연림 biomass 추정모델)

  • 김영환;이돈구;맹헌우
    • Journal of Korea Foresty Energy
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    • v.17 no.1
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    • pp.23-29
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    • 1998
  • This study was carried out to develop the regression model for estimating biomass of natural Pinus densiflora forests by stand density in northeast Chinese area of Mt. Paekdu. Four allometric regression models(W=aD$^b$, W=a(D$^2$H)$^b$. logW=a+b$\cdot$ logD+cD and logW=a+b$\cdot$log(D$^2$H)+c(D$^2$H)) were used to estimate biomass for each of the tree components. The suitable regression model for estimating biomass of stem, bark and whole tree above ground was logW=a+b$\cdot$log(D$^2$H)+c(D$^2$H), and that for biomass of branch, needle and needle area, logW=a+b$\cdot$logD+cD for all of the stand density classes.

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