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Normal Interpolation on AX = Y in CSL-algebra AlgL

  • Jo, Young Soo;Kang, Joo Ho
    • Kyungpook Mathematical Journal
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    • v.45 no.2
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    • pp.293-299
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    • 2005
  • Let ${\cal{L}}$ be a commutative subspace lattice on a Hilbert space ${\cal{H}}$ and X and Y be operators on ${\cal{H}}$. Let $${\cal{M}}_X=\{{\sum}{\limits_{i=1}^n}E_{i}Xf_{i}:n{\in}{\mathbb{N}},f_{i}{\in}{\cal{H}}\;and\;E_{i}{\in}{\cal{L}}\}$$ and $${\cal{M}}_Y=\{{\sum}{\limits_{i=1}^n}E_{i}Yf_{i}:n{\in}{\mathbb{N}},f_{i}{\in}{\cal{H}}\;and\;E_{i}{\in}{\cal{L}}\}.$$ Then the following are equivalent. (i) There is an operator A in $Alg{\cal{L}}$ such that AX = Y, Ag = 0 for all g in ${\overline{{\cal{M}}_X}}^{\bot},A^*A=AA^*$ and every E in ${\cal{L}}$ reduces A. (ii) ${\sup}\;\{K(E, f)\;:\;n\;{\in}\;{\mathbb{N}},f_i\;{\in}\;{\cal{H}}\;and\;E_i\;{\in}\;{\cal{L}}\}\;<\;\infty,\;{\overline{{\cal{M}}_Y}}\;{\subset}\;{\overline{{\cal{M}}_X}}$and there is an operator T acting on ${\cal{H}}$ such that ${\langle}EX\;f,Tg{\rangle}={\langle}EY\;f,Xg{\rangle}$ and ${\langle}ET\;f,Tg{\rangle}={\langle}EY\;f,Yg{\rangle}$ for all f, g in ${\cal{H}}$ and E in ${\cal{L}}$, where $K(E,\;f)\;=\;{\parallel}{\sum{\array}{n\\i=1}}\;E_{i}Y\;f_{i}{\parallel}/{\parallel}{\sum{\array}{n\\i=1}}\;E_{i}Xf_{i}{\parallel}$.

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A NOTE ON OPERATORS ON FINSLER MODULES

  • TAGHAVI, A.;JAFARZADEH, JAFARZADEH
    • Honam Mathematical Journal
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    • v.28 no.4
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    • pp.533-541
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    • 2006
  • let E be a Finsler modules over $C^*$-algebras. A with norm-map $\rho$ and L(E) set of all A-linear bonded operators on E. We show that the canonical homomorphism ${\phi}:L(E){\rightarrow}L(E_I)$ sending each operator T to its restriction $T|E_I$ is injective if and only if I is an essential ideal in the underlying $C^*$-algebra A. We also show that $T{\in}L(E)$ is a bounded below if and only if ${\mid}{\mid}x{\mid}{\mid}={\mid}{\mid}{\rho}{\prime}(x){\mid}{\mid}$ is complete, where ${\rho}{\prime}(x)={\rho}(Tx)$ for all $x{\in}E$. Also, we give a necessary and sufficient condition for the equivalence of the norms generated by the norm map.

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On the Fibrewise Confibrations and Fibrewise Fibrations in a Quasitopos (Quasitopos에서의 섬유 코화이버 함수와 섬유 화이버 함수에 대한 연구)

  • Kim, Young-Sun
    • The Journal of Natural Sciences
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    • v.10 no.1
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    • pp.9-12
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    • 1998
  • In this paper, we obtain that if $\psi : E \to F$ is a fibrewise fibration then postcomposition $\psi :C_B(Y, E) \to C_B(Y, F)$ is fibrewise fibration and if (X, A) is a closed fibrewise cofibration the the precomposition $\upsilon :C_B(X, E) \to C_B(A, E)$ is also a fibrewise fibration.

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Deep Learning Based Digital Staining Method in Fourier Ptychographic Microscopy Image (Fourier Ptychographic Microscopy 영상에서의 딥러닝 기반 디지털 염색 방법 연구)

  • Seok-Min Hwang;Dong-Bum Kim;Yu-Jeong Kim;Yeo-Rin Kim;Jong-Ha Lee
    • Journal of the Institute of Convergence Signal Processing
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    • v.23 no.2
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    • pp.97-106
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    • 2022
  • In this study, H&E staining is necessary to distinguish cells. However, dyeing directly requires a lot of money and time. The purpose is to convert the phase image of unstained cells to the amplitude image of stained cells. Image data taken with FPM was created with Phase image and Amplitude image using Matlab's parameters. Through normalization, a visually identifiable image was obtained. Through normalization, a visually distinguishable image was obtained. Using the GAN algorithm, a Fake Amplitude image similar to the Real Amplitude image was created based on the Phase image, and cells were distinguished by objectification using MASK R-CNN with the Fake Amplitude image As a result of the study, D loss max is 3.3e-1, min is 6.8e-2, G loss max is 6.9e-2, min is 2.9e-2, A loss max is 5.8e-1, min is 1.2e-1, Mask R-CNN max is 1.9e0, and min is 3.2e-1.

Gene Cloning and Nucleotide Sequence of Human Dihydrolipoamide Dehydrogenase-Binding Protein

  • Lee, Jeongmin;Ryou, Chongsuk;Jeon, Bong Kyun;Lee, Poongyeon;Woo, Hee-Jong;Kwon, Moosik
    • Asian-Australasian Journal of Animal Sciences
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    • v.15 no.3
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    • pp.421-426
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    • 2002
  • The pyruvate dehydrogenase complex (PDC), a member of $\alpha$-keto acid dehydrogenase complex, catalyzes the oxidative decarboxylation of pyruvate with the formation of $CO_2$, acetyl-CoA, NADH, and $H^+$. This complex contains multiple copies of three catalytic components including pyruvate dehydrogenase (E1), dihydrolipoamide acetyltransferase (E2), and dihydrolipoamide dehydrogenase (E3). Two regulatory components (E1-kinase and phospho-E1 phosphatase) and functionally less-understood protein (protein X, E3BP) are also involved in the formation of the complex. In this study, we have partially cloned the gene for E3BP in human. Nine putative clones were isolated by human genomic library screening with 1.35 kb fragment of E3BP cDNA as a probe. For investigation of cloned genes, Southern blot analysis and the construction of the restriction map were performed. One of the isolated clones, E3BP741, has a 3 kb-SacI fragment, which contains 200 bp region matched with E3BP cDNA sequences. The matched DNA sequence encodes the carboxyl-terminal portion of lipoyl-bearing domain and hinge region of human E3BP. Differences between yeast E3BP and mammalian E3BP coupled with the remarkable similarity between mammalian E2 and mammalian E3BP were confirmed from the comparison of the nucleotide sequence and the deduced amino acid sequence in the cloned E3BP. Cloning of human E3BP gene and analysis of the gene structure will facilitate the understanding of the role(s) of E3BP in mammalian PDC.

Association between the serum estrone-to-estradiol ratio and parameters related to glucose metabolism and insulin resistance in women with polycystic ovary syndrome

  • Kim, Nayoung;Chun, Sungwook
    • Clinical and Experimental Reproductive Medicine
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    • v.48 no.4
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    • pp.374-379
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    • 2021
  • Objective: We aimed to evaluate associations between the ratio of serum estrone (E1) to estradiol (E2) and parameters related to serum glucose metabolism and insulin resistance in women with polycystic ovary syndrome (PCOS). Methods: In total, 133 women between the ages of 18 and 35 diagnosed with PCOS were enrolled in this study. All participants with PCOS underwent blood tests to determine hormonal and biochemical metabolic parameters and a standard 2-hour 75-g oral glucose tolerance test. They were divided into two groups according to the serum E1-to-E2 ratio: group 1 (E1/E2 ratio <2.0) and group 2 (E1/E2 ratio ≥2.0). Results: In the comparative analysis, the waist-to-hip ratio (WHR) was the only clinical variable that was significantly different between the two groups. Patients with a higher E1/E2 ratio showed higher fasting insulin levels, homeostasis model for insulin resistance, and postprandial glucose level at 2 hours (PPG2). In a correlation analysis, only PPG2 was significantly related to the serum E1/E2 ratio. However, after controlling for the confounding effects of body mass index (BMI) and WHR, fasting glucose was also significantly correlated with the serum E1/E2 ratio. Conclusion: Women with PCOS with a higher serum E1/E2 ratio were found to be more likely to show higher fasting insulin and postprandial glucose levels. Significant correlations were found between the serum E1/E2 ratio and both fasting and postprandial serum glucose levels after adjusting for BMI and WHR in women with PCOS.

Polysilicon Thin Film Transistors on spin-coated Polyimide layer for flexible electronics

  • Pecora, A.;Maiolo, L.;Cuscuna, M.;Simeone, D.;Minotti, A.;Mariucci, L.;Fortunato, G.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.261-264
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    • 2007
  • We developed a non self-aligned poly-silicon TFTs fabrication process at two different temperatures on spin-coated polyimide layer above Si-wafer. After TFTs fabrication, the polyimide layer was mechanically released from the Si-wafer and the devices characteristics were compared. In addition self-heating and hot-carrier induced instabilities were analysed.

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An Analysis of Pre-Service Teachers' Understanding of the real number e (예비교사들의 실수 e에 대한 이해)

  • Choi, Eunah;Lee, Hong-Youl
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.495-519
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    • 2017
  • The purpose of this study is to analyze the concept of the real number e and to investigate the understanding of pre-service teachers about the real number e. 28 pre-service teachers were asked to take a test based on the various ideas of the real number e and 8 pre-service teachers were interviewed. The results of this study are as follows. First, a large number of pre-service teachers couldn't recognize relation between the formal definition and the representations of the real number e. Secondly, pre-service teachers judged appropriately for the irrationality and the construction impossibility of the real number e, but they couldn't provide reasonable evidence. Lastly, pre-service teachers understood the continuous compounding context and exponential function context of the real number e, but they had a difficulty in understanding the geometric context and natural logarithm context of the real number e.

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Predicting Variables of E-loyalty for Fashion Products according to E-promotion Interests (패션소비자의 판매촉진 흥미도에 따른 e-충성도예측요인)

  • Park, Eun-Joo;Choi, Ju-Young
    • Fashion & Textile Research Journal
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    • v.12 no.3
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    • pp.302-309
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    • 2010
  • The purposes of this study were to examine whether the e-promotion interest was an influencing variable on promotion-acceptance attitudes, browsing, consumer satisfaction and e-loyalty, and to investigate the predictors for e-loyalty of shopping mall according to e-promotion interests. A questionnaire was developed based on the previous researches. Data were obtained from 555 adults who had purchased fashion products in online shopping. Data were analyzed using by factor analysis, Cronbach's alpha, t-test and regression. The results showed that consumers with high e-promotion interests were more likely to accept e-promotions affectively and behaviorally, to have hedonic and utilitarian browsing, to satisfy the online shopping, and to make e-loyalty compared to them with low e-promotion interests. For high interested group in e-promotion, the more cognitive and affective attitudes toward promotion acceptance they were the greater e-loyalty in the context of online shopping for fashion products. Additionally, the more hedonic browsing and satisfy the online shopping they were the greater e-loyalty of shopping mall at Internet. However, for low interested group in e-promotion interests, the more utilitarian browsing and satisfy the online shopping they were the greater e-loyalty of online shopping for fashion products. It implies that consumer' e-promotion interest was an influencing variable on promotion-acceptance attitudes, browsing, consumer satisfaction and e-loyalty in online shopping for fashion products. Consumer satisfaction played an important role for making e-loyalty of fashion shopping malls. These findings are discussed in terms of insights for developing the strategies of encouraging to make the loyalty of shopping mall in the context of purchasing fashion products at Internet.

A Study on Strategy for success of tourism e-marketplace (관광 e-마켓플레이스의 성공전략에 관한 연구)

  • Hong, Ji-Whan;Kim, Keun-Hyung
    • Proceedings of the Korea Contents Association Conference
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    • 2006.11a
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    • pp.333-336
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    • 2006
  • E-marketplace is a kind of B2B e-Business system that supports business transactions among companies. If e-marketplace is revitalized, we expect not only the development of related industry but also decrease of transaction cost among companies. It is necessary for the introduction and revitalization of e-marketplace in tourist industry from this point of view. Participants of tour e-marketplace are tour-related companies(travel agencies, lodging enterprises, shipping enterprises, etc.). Also tourists want to search a variety of tour products or contents. So tour e-marketplace has characteristics of B2C e-Business systems as well as B2B e-Business systems at once. The purpose of this study is to classify success factors that determine characteristics of tour e-marketplace through statistics survey from e-marketplace factors related tourism websites. First of all, we analyze success factors of B2B and B2C e-marketplace. Then we will set up influence factors of tour e-marketplace and conduct a survey about success factors of tour e-marketplace. Therefore, we could expect to find these good attributes in tour e-marketplace success through logistic regression and decision tree analysis from source data.

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