• Title, Summary, Keyword: K-group

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CORESTRICTION MAP ON BRAUER SUBGROUPS

  • CHOI, EUN-MI
    • Communications of the Korean Mathematical Society
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    • v.20 no.1
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    • pp.35-49
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    • 2005
  • For an extension field K of k, a restriction homomorphism on Brauer k-group B(k) maps Brauer k-algebras to Brauer K- algebras by tensor product. A purpose of this work is to study the restriction map that sends radical (Schur) k-algebras to radical (Schur) K-algebras. And we ask an analogous question with respect to corestriction map on Brauer group B(K) that whether the corestriction map sends radical K-algebras to radical k-algebras.

Estimation of Glomerular Filtration Rate from Plasma Creatinine and Height in Children (소아에서 신장과 혈장 Creatinine 농도를 이용한 사구체여관율 측정)

  • Kim, Jeong-Lan;Park, Yong-Hoon;Hah, Jeong-Ok
    • Yeungnam University Journal of Medicine
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    • v.5 no.1
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    • pp.93-100
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    • 1988
  • In clinical practice, creatinine clearance(Ccr) remains the most commonly used laboratory assessment of glomerular function despite methodological and technical problems of urine collection. Schwartz et al. in 1976, reported that an accurate estimate of glomerular filtration rate(GFR) could be obtained from the simple determinations of plasma creatinine(Pcr) and body length(L) : GFR($m{\ell}/min/1.73m^2$=k L(cm)/Pcr(mg/$100m{\ell}$), (k=constant). The subject of this study were ill children admitted to our pediatric department from July, 1985 to June, 1987 and they were divided into three groups; group I, from 1 to 5 years old, group II, from 6 to 10 years old, group III. from 11 to 15 years old. The results were as following ; 1) Measured creatinine clearance($Ccr_M$, $m{\ell}/min/1.73m^2$) were $109.73{\pm}9.97$ in group I, $108.26{\pm}9.02$ in group II, $96.20{\pm}4.72$ in group III and $105.48{\pm}5.23$ in all age group. 2) Measured k($k_M$) obtained from $Ccr_M=k$ Ht/Pcr were $0.49{\pm}0.03$ in group I, $0.48{\pm}0.02$ in group II, $0.43{\pm}0.02$ in group III, and $0.47{\pm}0.02$ in all age group.(Ht ; height) 3) Linear equations and correlation coefficients between Ht/Pcr(x) and Ccr(y) were y=0.822x-65.63(r=0.99) in group I, y=0.61x-23.46(r=0.72) in group II, y=0.18x+54.44(r=0.54) in group III and y=0.58x-22.13(r=0.81) in all age group. 4) $Ccr_E$ was again estiamted from linear equations between Ht/Pcr and $Ccr_M$ and $k_E$ was calculated with Ht/Pcr and $Ccr_E$ were $0.48{\pm}0.01$ in group I, $0.49{\pm}0.01$in group II, $0.43{\pm}0.01$ in group III and $0.47{\pm}0.00$ in all age group. 5) Consistant values of $k_E$ and $k_M$ were highly significant as 95~97.5% in group I and II, 90~95% in group III and 97.5~99% in all age group. In summary, we could estimate GFR with height, plasma creatinine and measured k($k_M$) according to the age in easy and rapid way.

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General Linear Group over a Ring of Integers of Modulo k

  • Han, Juncheol
    • Kyungpook Mathematical Journal
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    • v.46 no.2
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    • pp.255-260
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    • 2006
  • Let $m$ and $k$ be any positive integers, let $\mathbb{Z}_k$ the ring of integers of modulo $k$, let $G_m(\mathbb{Z}_k)$ the group of all $m$ by $m$ nonsingular matrices over $\mathbb{Z}_k$ and let ${\phi}_m(k)$ the order of $G_m(\mathbb{Z}_k)$. In this paper, ${\phi}_m(k)$ can be computed by the following investigation: First, for any relatively prime positive integers $s$ and $t$, $G_m(\mathbb{Z}_{st})$ is isomorphic to $G_m(\mathbb{Z}_s){\times}G_m(\mathbb{Z}_t)$. Secondly, for any positive integer $n$ and any prime $p$, ${\phi}_m(p^n)=p^{m^2}{\cdot}{\phi}_m(p^{n-1})=p{^{2m}}^2{\cdot}{\phi}_m(p^{n-2})={\cdots}=p^{{(n-1)m}^2}{\cdot}{\phi}_m(p)$, and so ${\phi}_m(k)={\phi}_m(p_1^n1){\cdot}{\phi}_m(p_2^{n2}){\cdots}{\phi}_m(p_s^{ns})$ for the prime factorization of $k$, $k=p_1^{n1}{\cdot}p_2^{n2}{\cdots}p_s^{ns}$.

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Computer Topology and Its Applications

  • Han, Sang-Eon
    • Honam Mathematical Journal
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    • v.25 no.1
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    • pp.153-162
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    • 2003
  • Recently, the generalized digital $(k_{0},\;k_{1})$-continuity and its properties are investigated. Furthermore, the k-type digital fundamental group for digital image has been studies with the generalized k-adjacencies. The main goal of this paper is to find some properties of the k-type digital fundamental group of Boxer and to investigate some properties of minimal simple closed k-curves with relation to their embedding into some spaces in ${\mathbb{Z}}^n(2{\leq}n{\leq}3)$.

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A REMARK ON THE NUMBER OF FROBENIUS CLASSES GENERATING THE GALOIS GROUP OF THE MAXIMAL UNRAMIFIED EXTENSION

  • Jin, Seokho;Kim, Kwang-Seob
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.213-218
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    • 2020
  • Assume that K is a number field and Kur is the maximal unramified extension of it. When Gal(Kur/K) is an infinite group. It is known that Gal(Kur/K) is generated by finitely many Frobenius classes of Gal(Kur/K) by Y. Ihara. In this paper, we will give the explicit number of Frobenius classes which generate whole group Gal(Kur/K).

Thermo-physiological Responses of the Lower Grade Elementary School Children -A Comparison Between Japanese and Korean Children- (초등학교 저학년 아동의 체온조절반응 -일본아동과 한국아동의 비교-)

  • Kim Seong-Hee;Lee Uk-Ja;Tamura Teruko
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.12
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    • pp.1527-1534
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    • 2005
  • In order to clarify the characteristics of the thermo-physiological responses of the child and to understand the influence of the country where the child has grown up on the responses, the thermo-physiological responses of the Japanese children(J group) and the Korean children(K group) were examined. The subject wearing shorts was exposed first to a thermo neutral room$(Ta=28.5^{\circ}C)$ for 1 hour, then transferred to a cold$(Ta=22^{\circ}C)$ or a hot$(Ta=37^{\circ}C)$ room for 1 hour. The experiment was done in the climate chamber of Bunka Women's University in the summer of 1997 for Japan, and in the climate chamber in the Keimyung University in the summer of 1998 for Korea. The subjects consisted of 5 boys and 5 girls aged 7-9 years in Japan and 4 boys and 4 girls aged 7-9 years in Korea. As a result: 1) The rectal temperature increased slightly with a rise in air temperature. K group showed a slightly higher rectal temperature. 2) The skin temperature of the hand and foot decreased conspicuously during cold exposure. It was more in the K group than in the J group. 3) Relative local sweat rates were similar in the two groups at $22^{\circ}C\;and\;28.5^{\circ}C$, while they were considerably different at $37^{\circ}C$. Even perspiration was observed over the whole body in the J group but the perspiration was large in the trunk and low in the extremity in the K group. 4) The heart rate was higher in the J group than in the K group but it increased with the rise of the air temperature in both groups.

Switching Surge Flashover Characteristics of 765 kV Transmission Towers (765 kV 송전철탑 개폐섬락 특성)

  • Shim, J.W.;Chang, S.C.;Kwak, J.S.;Kim, J.B.
    • Proceedings of the KIEE Conference
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    • pp.276-278
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    • 1996
  • The breakdown Process in large gaps is greatly influenced by the gap geometry. Therefor full scale test are essential for the economical and reliable air insulation design. For switching surge design of 765 kV double circuit transmission line KEPRI is carrying the verifying tests using impulse voltage generator at Gochang test site. In this paper, the intermediate results of verifying tests are presented and the switching surge design criteria of 765 kV transmission tower flashover paths are discussed.

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COHOMOLOGY GROUPS OF RADICAL EXTENSIONS

  • Choi, Eun-Mi
    • Journal of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.151-167
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    • 2007
  • If k is a subfield of $\mathbb{Q}(\varepsilon_m)$ then the cohomology group $H^2(k(\varepsilon_n)/k)$ is isomorphic to $H^2(k(\varepsilon_{n'})/k)$ with gcd(m, n') = 1. This enables us to reduce a cyclotomic k-algebra over $k(\varepsilon_n)$ to the one over $k(\varepsilon_{n'})$. A radical extension in projective Schur algebra theory is regarded as an analog of cyclotomic extension in Schur algebra theory. We will study a reduction of cohomology group of radical extension and show that a Galois cohomology group of a radical extension is isomorphic to that of a certain subextension of radical extension. We then draw a cohomological characterization of radical group.

Grounding System Design According to Indoor Substation (변전소 옥내화에 따른 접지설계)

  • Choi, J.K.;Joo, B.S.;Kim, M.D.;Kim, J.B.
    • Proceedings of the KIEE Conference
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    • pp.905-907
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    • 1996
  • Current design standard of substation grounding systems is primarily concerned with conventional outdoor substations. But in case of 154kV substations in the nation, almost all are indoor-type GIS substations. So there became to be something not proper for application of present design standard to indoor-type substations. In this paper, as a preliminary stage of drawing-up of the grounding system design standard which concerned with in-door-type substions, issues of current design standard are mentioned and directions of improvement are also presented.

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