• Title/Summary/Keyword: East Asian mathematics

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NOTE ON VARIOUS METRIC SPACES

  • Kim, Moon-Jeong
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.191-195
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    • 2001
  • The purpose of this note is to introduce various metrics and to prove the properties of given metric spaces.

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ORTHOGONALIZATION PROCESS USING SYSTEMS

  • Yi, Su-Cheol
    • East Asian mathematical journal
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    • v.15 no.2
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    • pp.345-354
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    • 1999
  • Orthogonalization can be done by the well known Gram-Schmidt process or by using Householder transformations. In this paper, we introduced an alternative process using linear systems.

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THE MAXIMUM DETERMINANT OF (0,1)-TRIDIAGONAL MATRICES

  • Hwang, Geum-Sug
    • East Asian mathematical journal
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    • v.15 no.2
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    • pp.223-232
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    • 1999
  • In this paper, we give the upper bound of determinants of (0,1)-tridiagonal matrices and we show that the (0,1)-tridiagonal matrices which have maximal determinant are sign-nonsingular.

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NOTES ON THE ANALYTIC FEYNMAN INTEGRAL

  • Lee, Je-Yoon
    • East Asian mathematical journal
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    • v.14 no.2
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    • pp.237-247
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    • 1998
  • In this paper, we prove a translation theorem for the analytic Feynman integral for functions in $\mathcal{F}_{A_1,A_2}$(B) and show how this integral can be modified so as to be translation invariant.

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DEGREE OF THE GAUSS MAP ON AN ODD DIMENSIONAL MANIFOLD

  • Byun, Yang-Hyun
    • East Asian mathematical journal
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    • v.14 no.2
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    • pp.269-279
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    • 1998
  • For a codimension 1 submanifold in a Euclidean 2n-space, the degree of the gauss map mod 2 is the semi-characteristic of the manifold in $Z_2$ coefficient.

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SUBMANIFOLDS OF CODIMENSION 2 OF ODD-DIMENSIONAL SPHERES

  • Shin, Yong-Ho
    • East Asian mathematical journal
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    • v.16 no.2
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    • pp.383-390
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    • 2000
  • This paper is to show that a submanifold of codimension 2 of an odd-dimensional sphere with an almost contact metric structure is an intersection of a complex cone with generator as a normal vector and a sphere.

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