• Title/Summary/Keyword: transformations

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RIBAUCOUR TRANSFORMATIONS OF THE SURFACES WITH CONSTANT POSITIVE GAUSSIAN CURVATURES IN THE 3-DIMENSIONAL EUCLIDEAN SPACE

  • PARK, Joon-Sang
    • Communications of the Korean Mathematical Society
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    • v.21 no.1
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    • pp.165-175
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    • 2006
  • We associate the surfaces of constant Gaussian curvature K = 1 with no umbilics to a subclass of the solutions of $O(4,\;1)/O(3){\times}O(1,\;1)-system$. From this correspondence, we can construct new K = 1 surfaces from a known K = 1 surface by using a kind of dressing actions on the solutions of this system.

Novel Asymmetric Synthesis of Unsaturated 1,2-Amino Alcohols

  • Kim, Ji-Duck;Jung, Young-Hoon
    • Proceedings of the PSK Conference
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    • 2002.10a
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    • pp.231.2-232
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    • 2002
  • The synthesis of chiral 1,2-amino alcohols has been an area of intense study in the synthetic and industrial fields, because of their important roles in organic synthesis as fundamental building blocks and their occurrence in a number of natural products. drugs. and chiral auxiliaries or ligands. General methods for the synthesis of these compounds can be divided into two large categories: functional group transformations and the C-C or the C-N bond formations. (omitted)

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The Generalized Logistic Models with Transformations

  • Yeo, In-Kwon;Richard a. Johnson
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.495-506
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    • 1998
  • The proposed class of generalized logistic models, indexed by an extra parameter, can be used to model or to examine symmetric or asymmetric discrepancies from the logistic model. When there are a finite number of different design points, we are mainly concerned with maximum likelihood estimation of parameters and in deriving their large sample behavior A score test and a bootstrap hypothesis test are also considered to check if the standard logistic model is appropriate to fit the data or if a generalization is needed .

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A Total Synthesis of Aliskiren Starting from D-Tartrate Diester

  • Kim, Ji Hei;Ko, Soo Y.
    • Bulletin of the Korean Chemical Society
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    • v.34 no.12
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    • pp.3777-3781
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    • 2013
  • A formal total synthesis of aliskiren was accomplished. A key in our synthesis was to use the symmetric ciscisoid-cis-bis-lactone 3' as a precursor, which was prepared from D-tartrate diester. Appending the end groups and functional group transformations completed the synthesis.

HARMONIC TRANSFORMATIONS OF THE HYPERBOLIC PLANE

  • Park, Joon-Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.771-776
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    • 2009
  • Let (H, g) denote the upper half plane in $R^2$ with the Riemannian metric g := ($(dx)^2$ + $(dy)^2$)$/y^2$. First of all we get a necessary and sufficient condition for a diffeomorphism $\phi$ of (H, g) to be a harmonic map. And, we obtain the fact that if a diffeomorphism $\phi$ of (H, g) is a harmonic function, then the following facts are equivalent: (1) $\phi$ is a harmonic map; (2) $\phi$ is an affine transformation; (3) $\phi$ is an isometry (motion).

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A note on Box-Cox transformation and application in microarray data

  • Rahman, Mezbahur;Lee, Nam-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.5
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    • pp.967-976
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    • 2011
  • The Box-Cox transformation is a well known family of power transformations that brings a set of data into agreement with the normality assumption of the residuals and hence the response variable of a postulated model in regression analysis. Normalization (studentization) of the regressors is a common practice in analyzing microarray data. Here, we implement Box-Cox transformation in normalizing regressors in microarray data. Pridictabilty of the model can be improved using data transformation compared to studentization.

OSCILLATION OF SECOND ORDER UNSTABLE NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENTS

  • TIAN YU;ZHANG ZHENGUO;GE WEIGAO
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.355-367
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    • 2006
  • In this paper, we consider the oscillation second order unstable neutral difference equations with continuous arguments $\Delta^2_{/tau}(\chi(t)-p\chi(t-\sigma))=f(t,\chi(g(t)))$ and obtain some criteria for the bounded solutions of this equation to be oscillatory.

Two-Degree-of-Freedom PID Controllers

  • Araki, Mituhiko;Taguchi, Hidefumi
    • International Journal of Control, Automation, and Systems
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    • v.1 no.4
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    • pp.401-411
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    • 2003
  • Important results about two-degree-of-freedom PID controllers are surveyed for the tutorial purpose, including equivalent transformations, various explanations about the effect of the two-degree-of-freedom structure, relation to the preceded-derivative PID and the I-PD controllers, and an optimal tuning method.

3-Way 32 bit VLIW Multimedia Signal Processor

  • Park, Jaebok;Jaehee You
    • Proceedings of the IEEK Conference
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    • 2001.06b
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    • pp.97-100
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    • 2001
  • A 3-way VLIW multimedia signal processor capable of efficient repeated operations as well as both load/store and type transformations for various data types is presented. It is composed of a 32-bit execution unit that can execute two instructions in parallel, an independent load/store unit and a control unit. The processor is implemented with 0.6${\mu}{\textrm}{m}$ gate array and the results are discussed.

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A NOTE ON THE RANK OF THE FLOW

  • Joseph Auslander;Kim, Young-Key
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.411-414
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    • 1994
  • In this paper a flow will be a pair (X, T) where X is a compact Hausdorff space, and T is a homeomorphism of X onto X. We will usually but not always assume that X is a metric space. We sometimes suppress the homeomorphism T notationally, and just denote a flow by X. General references for the preliminary dynamical notations discussed in this section are [5] and [3]. (The latter should be used with care, since transformations are written on the right there.)(omitted)

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