• Title/Summary/Keyword: $Z_2$

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THE EFFECT OF SOLDERING INDICES FOR THE DISTORTION OF SPLIT CAST (납착 인기재료가 분할 주조체의 변형에 미치는 영향)

  • Lee, Dong-Wook;Im, Jang-Seop;Jeong, Chang-Mo;Jeon, Yeong-Chan
    • The Journal of Korean Academy of Prosthodontics
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    • v.38 no.1
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    • pp.26-37
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    • 2000
  • The purpose of this study was to investigate the effect that three resin indexing materials had on the distortion of split cast in the procedures of solder indexing and block fabrication. The specimen had two cylinders and connecting bar Two cylinders were a reference cylinder and a test cylinder that were machined precisely and placed on metal base. The total of specimens were 30 and they were divided into 3 groups according to the resin indexing materials : Acrylic $solder^{(R)}$, G-C Pattern $resin^{(R)},\;Z-100^{(R)}$. The relative coordinates (X, Y, Z) of centroids of both cylinders were measured by using 3-D cool dinates measuring machine. The value of indexing distortion was obtained after application of indexing material, and the value of the block distortion was obtained after fabrication of soldering block, and the value of total distortion was a value sum of indexing distortion and block distortion. Intercentroidal linear distortion ${(\sqrt{X^{'2}+Y^{'2}+Z^{'2}}-{\sqrt{X^2+Y^2+Z^2)}$ and global distortion $(\sqrt{{(X^'-X)}^2+{(Y^'-Y)}^2+{(Z^'-Z)}^2}$ were calculated from data of coordinates of centroids at each measuring stages. The results of this study were as belows ; 1. The intercentroidal distance between the split casts was reduced by indexing distortion and increased by block distortion. 2. The indexing global distortion between the split casts was smaller than block global distortion. 3. The intercentroidal linear distortion and the global distortion were no significant difference between indexing materials.

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Molecular Cloning and Expression of $\alpha$-Amylase Gene from Bacillus stearothermophilus in Zymomonas mobilis ZM4

  • Song, Ki-Bang
    • Journal of Microbiology and Biotechnology
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    • v.2 no.2
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    • pp.115-121
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    • 1992
  • In order to broaden the spectrum of substrate utilization of a Gram negative bacterium Zymomonas mobilis which has a great potential as an industrial ethanol producing microorganism, cloning of $\alpha$-amylase gene into Z. mobilis ZM4 was tried. The $\alpha$-amylase gene was isolated from Bacillus stearothermophilus. By Southern blot analysis, it was proven that the $\alpha$-amylase gene fragment was originated from a naturally occuring plasmid of B. stearothermophilus ATCC 31195. To place $\alpha$-amylase gene under the control of Z. mobilis promoter, two different Z. mobilis expression vectors, pZA26 and pLOI204, were used. The truncated $\alpha$-amylase gene was then introduced into these vectors. Both qualitative and quantitative activities of $\alpha$-amylase were observed in Z. mobilis cells harboring these plasmids with the $\alpha$-amylase gene inserted. Gas chromatographic analysis of ethanol showed that one of the Z. mobilis transconjugants was capable of producing 67 mM ethanol from rich medium(RM) containing 5% soluble starch as a sole carbon source.

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A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION

  • Kang, Jie-Hyung;Lee, Chang-Ju;Lee, Yang-Hi
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.541-557
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    • 2004
  • In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approximate remainder ${\varphi}$ is defined by (x * y) + (x * $y^{-1}$) - 2 (x) - 2 (y) =<${\varphi}$(x,y), (x*y*z)+ (x)+ (y)+ (z)- (x*y)- (y*z)- (z*x)=${\varphi}$(x, y, z), where (G,*) is a group, X is a real or complex Hausdorff topological vector space, and is a function from G into X.

METRIC FOLIATIONS ON HYPERBOLIC SPACES

  • Lee, Kyung-Bai;Yi, Seung-Hun
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.63-82
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    • 2011
  • On the hyperbolic space $D^n$, codimension-one totally geodesic foliations of class $C^k$ are classified. Except for the unique parabolic homogeneous foliation, the set of all such foliations is in one-one correspondence (up to isometry) with the set of all functions z : [0, $\pi$] $\rightarrow$ $S^{n-1}$ of class $C^{k-1}$ with z(0) = $e_1$ = z($\pi$) satisfying |z'(r)| ${\leq}1$ for all r, modulo an isometric action by O(n-1) ${\times}\mathbb{R}{\times}\mathbb{Z}_2$. Since 1-dimensional metric foliations on $D^n$ are always either homogeneous or flat (that is, their orthogonal distributions are integrable), this classifies all 1-dimensional metric foliations as well. Equations of leaves for a non-trivial family of metric foliations on $D^2$ (called "fifth-line") are found.

Maneuverabilities of the M . S . Pusan 402 (부산 402호의 조종 성능에 관한 연구)

  • 김삼곤
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.22 no.1
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    • pp.24-28
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    • 1986
  • The maneuverabilities of the M. S. PUSAN 402 are studied, based on maneuvering indices and the data obtained from her Z test. The results obtained are summarized as follows: 1. The maneuvering indices K' and T' of the M. S. PUSAN 402 are 1. 490, 1.030 at 10$^{\circ}$ Z test and 2.644, 1.153 at 20$^{\circ}$ Z test and 3.382. 1. 027 at 30$^{\circ}$ Z test respectively. The above calculated values K', T' showed that her maneuverabilities are more increased when the rudder is used to large angle than to smaIl angle. 2. As her maneuvering indices K' and T' at 10$^{\circ}$ Z test are higher than the standard maneuvering indices of fishing boats, her turning ability was found to be higher but her obeying ability lower. 3. When the M. S. PUSAN 402 took a turn at her 10$^{\circ}$ test, running distance was about 8.4 times her own length and didn't exceed the standard maneuvering distance, 5 to 11 times ship's own length, therefore she was considered to have good maneuverabilities syntheticaIly.

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Milk-clotting Enzyme from Mcroorganisms (Part XI) -Specificity Mucor-rennin (Crystalline Milk-clotting Enzyme of Mucor pusillus) on Synthetic Peptides- (미생물이 생산하는 응유효소 (제 11 보) -Mucor pusillus가 생산하는 결정응유효소, Mucor-rennin의 합성 Peptide에 대한 기질 특이성-)

  • Yu, Ju-Hyun;Osawa, Hisao;Tamura, Gakuzo;Hong, Yun-Myung;Arima, Kei
    • Korean Journal of Food Science and Technology
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    • v.2 no.2
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    • pp.43-48
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    • 1970
  • When of the synthetic peptides were subjected hydrolysis with Mucor-rennin which crystalline milk-clotting enzyme from Mucor pusillus, the peptides of Z-L-Glu-L- Phe-OH, Z-L-Phe-L-Tyr-OH, Z-L-Phe-L-Leu-OH, Z-L-Tyr-L-Leu and Z-L-Glu-L-Phe-OH, were found to be hydrolysis.

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The design of XYZ 3-axis stage for AFM system (AFM 시스템을 위한 XYZ 3축 스테이지의 설계)

  • 김동민;김기현;심종엽;권대갑;엄천일
    • Proceedings of the Korea Crystallographic Association Conference
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    • 2002.11a
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    • pp.36-36
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    • 2002
  • To Establish of standard technique of length measurent in 2D plane, we develope AFM system. The XY scanner scans the sample only in XY plane, while the Z scanner scans the specimen only in Z-direction. Cantilever tip is controlled to has constant height relative to speciman surface by feedback of PSPD signal. To acquire high accuracy, Z-axis measuring sensor will be added.(COXI or others). In this paper we design XYZ stage suitable for this AEM system. For XY stage, single module parallel-kinnematic flexure stage is used which has high orthogonality and minimum out-of-plane motion. To obtain best performance optimal design is performed. For XY stage, to be robust about parasitic motion optimal design of maximizing Z and tilt stiffness is performed under the constraint of motion range and stage size. And for Z stage, optimal design of maximizing 1st resonant frequency is performed. Because if resonant frequency is get higher, scan speed is improved. So it makes reduce the error by sensor drift. Resultly XYZ stage each have 1st natural frequency of 115㎐, 201㎐, 2.66㎑ and range 109㎛, 110㎛, 12㎛.

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THE POLYANALYTIC SUB-FOCK REPRODUCING KERNELS WITH CERTAIN POSITIVE INTEGER POWERS

  • Kim, Hyeseon
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.447-460
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    • 2022
  • We consider a closed subspace ${\tilde{A}}^{{\alpha},m}_q$ (ℂ) of the Fock space Aα,mq (ℂ) of q-analytic functions with the weight ϕ(z) = -α log |z|2+|z|2m for any positive integer m. We obtain the corresponding reproducing kernel Kα,q,m(z, w) using the weighted Laguerre polynomials and the Mittag-Leffler functions. Finally, we investigate the necessary and sufficient condition on (α, q, m) such that Kα,q,m(z, w) is zero-free.

UNIQUENESS RESULTS ON MEROMORPHIC FUNCTIONS AND THEIR DIFFERENCE OPERATORS SHARING TARGETS WITH WEIGHT

  • Thu Thuy Hoang;Hong Nhat Nguyen;Duc Thoan Pham
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.461-473
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    • 2023
  • Let f be a nonconstant meromorphic function of hyper-order strictly less than 1, and let c ∈ ℂ \ {0} such that f(z + c) ≢ f(z). We prove that if f and its exact difference ∆cf(z) = f(z + c) - f(z) share partially 0, ∞ CM and share 1 IM, then ∆cf = f, where all 1-points with multiplicities more than 2 do not need to be counted. Some similar uniqueness results for such meromorphic functions partially sharing targets with weight and their shifts are also given. Our results generalize and improve the recent important results.

A New Record and Redescription of Zygophylax (Hydrozoa: Leptothecata: Zygophylacidae) from Korea

  • Seung-Joon Lee;Hyo-Jin Yu;Sung-Jin Hwang
    • Animal Systematics, Evolution and Diversity
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    • v.40 no.2
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    • pp.140-146
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    • 2024
  • A taxonomic examination of Zygophylax species collected from the subtidal zone of Seongsan Ilchulbong in the east of Jeju Island and a reexamination of the voucher specimens previously described as Z. biarmata were conducted. Through this study, the species previously reported as Z. biarmata in Korea was redescribed as Z. pacifica, and the specimens from Seongsan Ilchulbong were confirmed to be Z. biarmata. Zygophylax biarmata has two nematothecae on the apophysis of the hydrotheca, a clear distinction between the apophysis and the pedicel of the hydrotheca, and much smaller hydrothecae, whereas Z. pacifica has a single nematotheca on the apophysis of the hydrotheca, no distinction between the apophysis and the pedicel of the hydrotheca, and much larger hydrothecae. As a result of this study, a total of two species belonging to genus Zygophylax have been reported in the hydrozoan fauna of Korea to date.