• Title/Summary/Keyword: e-transformation

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BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACE

  • Xu, Chuanyou;Cao, Xifang;Zhu, Peng
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.2
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    • pp.377-394
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    • 2015
  • In this paper, we generalize some results about Bertrand curves and Razzaboni surfaces in Euclidean 3-space to the case that the ambient space is Minkowski 3-space. Our discussion is divided into three different cases, i.e., the parent Bertrand curve being timelike, spacelike with timelike principal normal, and spacelike with spacelike principal normal. For each case, first we show that Razzaboni surfaces and their mates are related by a reciprocal transformation; then we give B$\ddot{a}$cklund transformations for Bertrand curves and for Razzaboni surfaces; finally we prove that the reciprocal and B$\ddot{a}$cklund transformations on Razzaboni surfaces commute.

ON CONFORMAL TRANSFORMATIONS BETWEEN TWO ALMOST REGULAR (α, β)-METRICS

  • Chen, Guangzu;Liu, Lihong
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1231-1240
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    • 2018
  • In this paper, we characterize the conformal transformations between two almost regular (${\alpha},{\beta}$)-metrics. Suppose that F is a non-Riemannian (${\alpha},{\beta}$)-metric and is conformally related to ${\widetilde{F}}$, that is, ${\widetilde{F}}=e^{{\kappa}(x)}F$, where ${\kappa}:={\kappa}(x)$ is a scalar function on the manifold. We obtain the necessary and sufficient conditions of the conformal transformation between F and ${\widetilde{F}}$ preserving the mean Landsberg curvature. Further, when both F and ${\widetilde{F}}$ are regular, the conformal transformation between F and ${\widetilde{F}}$ preserving the mean Landsberg curvature must be a homothety.

High Frequency Electroporation-Transformation System for Coryneform Bacteria (전기장 충격법에 의한 코리네헝 세균의 고효율 헝질전환)

  • 노갑수;김성준
    • KSBB Journal
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    • v.5 no.3
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    • pp.299-306
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    • 1990
  • Escherkchla coli/Cownebacterium glutamicum shuttle vectors, pECCGl and pECCG2 were constructed by joining a 3.0 kb C. glutamicum cryptic plasmid pCBl and a 3.94 kb E. coli plasmid pACYC177. Using the plasmid pECCGl, various parameters involved in electroporation system including electric field strength, resistance, DNA concentration, cell concentration and growth stage were investigated independently and optimized for the high efficiency transformation of coryneform bacteria. Transformation efficiencies of 106 transformants/$\mu\textrm{g}$ of plasmid DNA were achieved with Corynebacterium glutamicum.

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A Poof of Utkin's Theorem for SI Uncertain Nonlinear Systems (단일입력 불확실 비선형 시스템에 대한 Utkin 정리의 증명)

  • Lee, Jung-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.11
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    • pp.1612-1619
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    • 2017
  • In this note, a complete proof of Utkin's theorem is presented for SI(single input) uncertain nonlinear systems. The invariance theorem with respect to the two nonlinear transformation methods so called the two diagonalization methods is proved clearly, comparatively, and completely for SI uncertain nonlinear systems. With respect to the sliding surface and control input transformations, the equation of the sliding mode i.e., the sliding surface is invariant, which is proved completely. Through an illustrative example and simulation study, the usefulness of the main results is verified. By means of the two nonlinear transformation methods, the same results can be obtained.

Mapping Design between XML and Table in Relation Database (XML과 관계 데이터베이스 자료 간의 매핑 설계)

  • Kim Gil-Choon
    • Journal of Digital Contents Society
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    • v.5 no.3
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    • pp.180-186
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    • 2004
  • XML has an essential funtion of dealing with standardized document to be used in all academic areas and industrial areas as well as e-commerce. The transformation of XML data into Relation Database table is also necessary for data search using SQL language. Mapping relation between XMLand Table in Relation Database is required for transformation of XML. This arti치e studies the mapping relation between XML and Relation Database using DTD which enables to check the unity automatically whenever document is read so that it studied mapping design for the transformation of XML data info Relation Database table.

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Transformation of Escherichia coli-Lactobacillus casei Shuttle Vector by Electroporation (Electroporation에 의한 Escherichia coli-Lactobacillus casei 셔틀 벡터의 형질전환)

  • 홍성희
    • Korean Journal of Microbiology
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    • v.36 no.2
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    • pp.109-111
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    • 2000
  • A 3.5 kb plasmid from Lactobacillus. casei ssp. cosei NCIB 4114 was isolated and E. cali-L. casei shuttle vectors were constructed containing this plasmid. Transformation by electroporation was successful with all the plasmids constructed. Optimized condition for the electroporation was established with efficiency level of $2{\times}10^5$ transformants per $\mu$g of vector DNA. Successful introduction of those shuttle vectors enable to these vectors as food grade vector for lactic acid bacteria.

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The deformation of a free surface due to the impact of a water droplet

  • Kwon, Sun-Hong;Park, Chang-Woo;Lee, Seung-Hun;Shin, Jae-Young;Choi, Young-Myung;Chung, Jang-Young;Isshiki, Hiroshi
    • International Journal of Ocean System Engineering
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    • v.1 no.1
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    • pp.28-31
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    • 2011
  • An attempt was made to compute the free surface deformation due to the impact of a water droplet. The Cauchy Poisson, i.e. the initial value problem, was solved with the kinematic and dynamic free surface boundary conditions linearized. The zero order Hankel transformation and Laplace transform were applied to the related equations. The initial condition for the free surface profile was derived from a captured video image. The effect of the surface tension was not significant with the water mass used in this investigation. The computed and observed free surface deformations were compared.

THE ORBIT OF A β-TRANSFORMATION CANNOT LIE IN A SMALL INTERVAL

  • Kwon, Do-Yong
    • Journal of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.867-879
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    • 2012
  • For ${\beta}$ > 1, let $T_{\beta}$ : [0, 1] ${\rightarrow}$ [0, 1) be the ${\beta}$-transformation. We consider an invariant $T_{\beta}$-orbit closure contained in a closed interval with diameter 1/${\beta}$, then define a function ${\Xi}({\alpha},{\beta})$ by the supremum such $T_{\beta}$-orbit with frequency ${\alpha}$ in base ${\beta}$, i.e., the maximum value in $T_{\beta}$-orbit closure. This paper effectively determines the maximal domain of ${\Xi}$, and explicitly specifies all possible minimal intervals containing $T_{\beta}$-orbits.

Simulation of superelastic SMA helical springs

  • Mehrabi, Reza;Ravari, Mohammad Reza Karamooz
    • Smart Structures and Systems
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    • v.16 no.1
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    • pp.183-194
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    • 2015
  • Shape memory alloy (SMA) helical springs have found a large number of different applications in industries including biomedical devices and actuators. According to the application of SMA springs in different actuators, they are usually under tension and torsion loadings. The ability of SMAs in recovering inelastic strains is due to martensitic phase transformation between austenite and martensite phases. Stress or temperature induced martensite transformation induced of SMAs is a remarkable property which makes SMA springs more superior in comparison with traditional springs. The present paper deals with the simulation of SMA helical spring at room temperature. Three-dimensional phenomenological constitutive model is used to describe superelastic behavior of helical spring. This constitutive model is implemented as a user subroutine through ABAQUS STANDARD (UMAT), and the process of the implementation is presented. Numerical results show that the developed constitutive model provides an appropriate approach to captures the general behavior of SMA helical springs.

CRYSTALLIZATION KINETICS OF Fe-Si-B-Cu-Nb AMORPHOUS RIBBONS

  • Zhou, S.X.;Ulvensoen, J.H.;Hoier, R.
    • Journal of the Korean Magnetics Society
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    • v.5 no.5
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    • pp.511-514
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    • 1995
  • The crystallization kinetics of $Fe_{73.5}Si_{13.5}B_{9}Cu_{1}Nb_{3}$ amorphous alloy has been investigated using differential scanning calorimetry (DSC). The crystallization process had two stages, i.e. precipitation of the $\alpha$-Fe(Si) solid solution and the tetragonal borides. The isothermal transformation data of the amorphous alloy has been fitted successfully to the generalized Johnson-Mehl-Avrami equation. The mean time exponent, n, obtained is close to 2.5. The value of n=2.5 may be interpreted as being due to a diffusion-controlled transformation process with a constant nucleation rate, one likely transformation mode for the crystallization of metallic amorphous alloys. The activation energy of the overall crystallization process deduced from the time to 50% crystallization are about 81 kcal/mole. The value is of the same order as those estimated from viscous flow.

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