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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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LIN YINGZHEN(Department of Mathematics, Harbin Institute of Technology) ; CUI MINCGEN(Department of Mathematics, Harbin Institute of Technology) pp.237-251
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Abstract

In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -<TEX>$\epsilon$</TEX> )-order regula.ity (0 < <TEX>$\epsilon$</TEX> < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.

SEN M. K.(Department of Pure Mathematics, University of Calcutta) ; BHUNIYA A. K.(Department of Mathematics, Visva-Bharati University) pp.253-274
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Abstract

An additive regular Semiring S is left inversive if the Set E+ (S) of all additive idempotents is left regular. The set LC(S) of all left inversive semiring congruences on an additive regular semiring S is a lattice. The relations <TEX>$\theta$</TEX> and k (resp.), induced by tr. and ker (resp.), are congruences on LC(S) and each <TEX>$\theta$</TEX>-class p<TEX>$\theta$</TEX> (resp. each k-class pk) is a complete modular sublattice with <TEX>$p_{min}$</TEX> and <TEX>$p_{max}$</TEX> (resp. With <TEX>$p^{min}$</TEX> and <TEX>$p^{max}$</TEX>), as the least and greatest elements. <TEX>$p_{min},\;p_{max},\;p^{min}$</TEX> and <TEX>$p^{max}$</TEX>, in particular <TEX>${\epsilon}_{max}$</TEX>, the maximum additive idempotent separating congruence has been characterized explicitly. A semiring is quasi-inversive if and only if it is a subdirect product of a left inversive and a right inversive semiring.

Jeon, Myung-Jin(Department of Computer Aided Mathematical Information Science, Semyung University) pp.275-287
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Abstract

Geometric invariants are basic tools for geometric processing and computer vision. In this paper, we give a linear approximation for the differentiation of the binormal vector field of a space curve by using the forward and backward differences of discrete binormal vectors. Two kind of discrete torsion, say, back-ward torsion <TEX>$T_b$</TEX> and forward torsion <TEX>$T_f$</TEX> can be defined by the dot product of the (backward and forward) discrete differentiation of binormal vectors that are linear approximations of torsion. Using Frenet formula and Taylor series expansion, we give error estimations for the discrete torsions. We also give numerical tests for a curve. Notably the average of <TEX>$T_b$</TEX> and <TEX>$T_f$</TEX> looks more stable in errors.

SHARMA SUSHIL(Department of Mathematics, Madhav Science College) ; DESHPANDE BHAVANA(Department of Mathematics, Govt. Arts and Science P. G. College) pp.289-306
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Abstract

The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

PARKASH OM(Department of Mathematics, Guru Nanak University) ; SHARMA P. K.(Department of Mathematics, Hindu College) pp.307-315
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Abstract

There exist many measures of fuzzy directed divergence corresponding to the existing probabilistic measures. Some new measures of fuzzy divergence have been proposed which correspond to some well-known existing probabilistic measures. The essential properties of the proposed measures have been developed which contains many existing measures of fuzzy directed divergence.

한국수학교육학회지시리즈B:순수및응용수학