• 제목/요약/키워드: I.C.U.

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SOME CLASSES OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS I

  • AUOF, M.K.;DARWISH, H.E.
    • 호남수학학술지
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    • 제16권1호
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    • pp.119-135
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    • 1994
  • Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.

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직류전동차 탑재용 피뢰기의 최적선정에 관한 연구 (A Study on the Best Selection of Lightning Arrester for DC Electric Traction Vehicles)

  • 차명수;송재용;김일권;길경석;이대성;박재규
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 C
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    • pp.1519-1520
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    • 2006
  • This paper describes a selection and application recommendations of ZnO arresters on DC electric traction vehicles. We measured and analyzed the system voltages applied to arresters and the surge currents flowing arresters on DC electric traction vehicles under operation to decide the Continuous Operating Voltage($U_C$), the Rated Voltage($U_R$), and the Nominal Discharge Current($I_n$). System voltages measured up to 1,800 V during anti-breaking in 1,500 V-system, and surge currents were recorded up to 3 times per running-service-route and their magnitudes were ranges of $150A{\sim}2kA$. From these results and the standard EN50163, we proposed the Continuous Operating Voltage($U_C$) the Rated Voltage($U_R$) for the $1,500V_{dc}$ electric traction vehicles.

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AN ERDŐS-KO-RADO THEOREM FOR MINIMAL COVERS

  • Ku, Cheng Yeaw;Wong, Kok Bin
    • 대한수학회보
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    • 제54권3호
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    • pp.875-894
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    • 2017
  • Let $[n]=\{1,2,{\ldots},n\}$. A set ${\mathbf{A}}=\{A_1,A_2,{\ldots},A_l\}$ is a minimal cover of [n] if ${\cup}_{1{\leq}i{\leq}l}A_i=[n]$ and $$\bigcup_{{1{\leq}i{\leq}l,}\\{i{\neq}j_0}}A_i{\neq}[n]\text{ for all }j_0{\in}[l]$$. Let ${\mathcal{C}}(n)$ denote the collection of all minimal covers of [n], and write $C_n={\mid}{\mathcal{C}}(n){\mid}$. Let ${\mathbf{A}}{\in}{\mathcal{C}}(n)$. An element $u{\in}[n]$ is critical in ${\mathbf{A}}$ if it appears exactly once in ${\mathbf{A}}$. Two minimal covers ${\mathbf{A}},{\mathbf{B}}{\in}{\mathcal{C}}(n)$ are said to be restricted t-intersecting if they share at least t sets each containing an element which is critical in both ${\mathbf{A}}$ and ${\mathbf{B}}$. A family ${\mathcal{A}}{\subseteq}{\mathcal{C}}(n)$ is said to be restricted t-intersecting if every pair of distinct elements in ${\mathcal{A}}$ are restricted t-intersecting. In this paper, we prove that there exists a constant $n_0=n_0(t)$ depending on t, such that for all $n{\geq}n_0$, if ${\mathcal{A}}{\subseteq}{\mathcal{C}}(n)$ is restricted t-intersecting, then ${\mid}{\mathcal{A}}{\mid}{\leq}{\mathcal{C}}_{n-t}$. Moreover, the bound is attained if and only if ${\mathcal{A}}$ is isomorphic to the family ${\mathcal{D}}_0(t)$ consisting of all minimal covers which contain the singleton parts $\{1\},{\ldots},\{t\}$. A similar result also holds for restricted r-cross intersecting families of minimal covers.

Some Properties of Complex Grassmann Manifolds

  • Kim, In-Su
    • 호남수학학술지
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    • 제5권1호
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    • pp.45-69
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    • 1983
  • The hermitian structures on complex manifolds have been studied by several mathematicians ([1], [2], and [3]), and the Kähler structure on hermitian manifolds have been so much too ([6], [12], and [15]). There has been some gradual progress in studying the invariant forms on Grassmann manifolds ([17]). The purpose of this dissertation is to prove the Theorem 3.4 and the Theorem 4.7, with relation to the nature of complex Grassmann manifolds. In $\S$ 2. in order to prove the Theorem 4.7, which will be explicated further in $\S$ 4, the concepts of the hermitian structure, connection and curvature have been defined. and the characteristic nature about these were proved. (Proposition 2.3, 2.4, 2.9, 2.11, and 2.12) Two characteristics were proved in $\S$ 3. They are almost not proved before: particularly. we proved the Theorem 3.3 : $G_{k}(C^{n+k})=\frac{GL(n+k,C)}{GL(k,n,C)}=\frac{U(n+k)}{U(k){\times}U(n)}$ In $\S$ 4. we explained and proved the Theorem 4. 7 : i) Complex Grassmann manifolds are Kahlerian. ii) This Kähler form is $\pi$-fold of curvature form in hyperplane section bundle. Prior to this proof. some propositions and lemmas were proved at the same time. (Proposition 4.2, Lemma 4.3, Corollary 4.4 and Lemma 4.5).

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Nonparametric Test for Ordered Alternatives on Multiple Ranked-Set Samples

  • Kim, Dong HeeKim,;Hyung Gee;Park, Hae Kyung
    • Communications for Statistical Applications and Methods
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    • 제7권2호
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    • pp.563-573
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    • 2000
  • In this thesis, we propose the test statistic for ordered alternatives on c-sample ranked set samples(RSS). The proposed test statistic JRSS is Jonckheere type statistic using the median of the i-th samples in each cycle. We obtained the asymptotic property of the proposed test statistic and the asymptotic relative efficiencies of the proposed test statistic with respect to J SRS which Jonckheere type statistic on simple random samples(SRS). From the simulation works, J RSS is superior to J SRS. We compared the empirical powers of J RSS with respect to U RSS on ranked set sample and U SRS on simple random sample using all samples, which are proposed by Kim, Kim and Lee(1999). The powers of J RSS are nearly the same values when entire sample size is large. J RSS is superior to U RSS. J RSS is simpler than U RSSon calculating process.

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Finite Dimension in Associative Rings

  • Bhavanari, Satyanarayana;Dasari, Nagaraju;Subramanyam, Balamurugan Kuppareddy;Lungisile, Godloza
    • Kyungpook Mathematical Journal
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    • 제48권1호
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    • pp.37-43
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    • 2008
  • The aim of the present paper is to introduce the concept "Finite dimension" in the theory of associative rings R with respect to two sided ideals. We obtain that if R has finite dimension on two sided ideals, then there exist uniform ideals $U_1,U_2,\ldots,U_n$ of R whose sum is direct and essential in R. The number n is independent of the choice of the uniform ideals $U_i$ and 'n' is called the dimension of R.

U자형 동관의 잔류응력 평가 (Evaluation of Residual Stress in the U-shaped Copper Pipe)

  • 김상영;김형익;석창성;이재권;모진용;박득용
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.622-626
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    • 2005
  • The Residual stress is stress at the inside of materials after plastic deformation. Certainly, this residual stress have an effect on fatigue life. Therefore, it is very important that understanding residual stress at the inside of materials. But in case of U-shaped Pipe that it is dealt with a mailer in this paper, distribution of residual stress is very complicated and exactly become unknown caused by difficulty of measurement. Then, in this paper, we are evaluated residual stress at in the inside of materials by finite clement method program and verified validity by test.

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담낭염 환자에서의 $^{99m}Tc-HIDA$ Scan의 진단적 의의 (Clinical Application of $^{99m}Tc-HIDA$ Cholescintigraphy in the Cholecystitis)

  • 박난재;안일민;장연복;홍기석;윤용범;조보연;고창순
    • 대한핵의학회지
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    • 제15권2호
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    • pp.11-17
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    • 1981
  • Cholescintigraphic studies with $^{99m}Tc-HIDA$(dimethyl iminodiacetic acid) were performed in 22 cases of normal subjects, 21 of acute cholecystitis, 12 of chronic cholecystitis and 12 others, with the results of, 1) In normal control group, liver and intrahepatic biliary tree, CBD and gall bladder, and G-I tract appeared at 10, 20 and 30 minutes after intravenous injection of $^{99m}Tc-HIDA$ respectively, 2) In acute cholecystitis, 20 among 21 cases showed non-visualization of gall bladder with the diagnostic accuracy, sensitivity and specificity of 93.2%, 95.2% and 100% respectively. 3) In chronic cholecystitis, 5 among 12 cases showed non-visualization of gall bladder and remained 7 among 12 cases showed poor contraction of gall bladder (4), delayed visualization of gall bladder (1) and normal findings (2). 4) In the other disease group, the 12 cases which initially suspected as acute cholecystitis, revealed normal scan findings to exclude the cystic duct obstruction easily, With the above results, this scintigraphic procedure was found very rapid, accurate and easily available method for the determining of the cystic duct patency.

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