• 제목/요약/키워드: Pure sciences

검색결과 785건 처리시간 0.019초

A SIMPLE AUGMENTED JACOBI METHOD FOR HERMITIAN AND SKEW-HERMITIAN MATRICES

  • Min, Cho-Hong;Lee, Soo-Joon;Kim, Se-Goo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권3호
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    • pp.185-199
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    • 2011
  • In this paper, we present a new extended Jacobi method for computing eigenvalues and eigenvectors of Hermitian matrices which does not use any complex arithmetics. This method can be readily applied to skew-Hermitian and real skew-symmetric matrices as well. An example illustrating its computational efficiency is given.

A NOTE ON GT-ALGEBRAS

  • Kim, Jae-Doek;Kim, Young-Mi;Roh, Eun-Hwan
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권1호
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    • pp.59-68
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    • 2009
  • We introduce the notion of GT-algebras as a generalization of the concept of Tarski algebras. We introduce the notion of GT-filters in GT-algebras, and we prove some properties of GT-filters.

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HYPER ORDER OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS IN THE DISC

  • Chen, Zong-Xuan;Shon, Kwang-Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권1호
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    • pp.155-165
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    • 2009
  • We investigate the growth of solutions of complex linear differential equations in the unit disc. We obtain properties of solutions of differential equations with entire coefficients. We use the concept of the hyper order to estimate the growth of solutions.

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현대예술과 현대복식에 나타난 추상적 표현에 관한 연구 (A study on Abstract Expression Showed in Modern Art and Modern Costume)

  • 이은영
    • 자연과학논문집
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    • 제4권
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    • pp.221-231
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    • 1991
  • We have thought artistic charactics of modern form is abstract expression and purity and unity sight. Specially, modern sculpture form has strict geometrical form as showed in primitive art. In this circumstances, modern costume has stylized more artistic form in pure sight. Artistic characteristics showed in those collections are picturesque in material and sculpture in shillouette. Picturesque material pointed in decoretive function and simple shillouette pointed in sculpturesque body in modern costume.

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DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS

  • Park, Hee-Young;Shon, Kwang-Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제14권2호
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    • pp.91-98
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    • 2007
  • We give definitions of hyperholomorphic functions of quaternionic functions of two quaternionic variables. We investigate properties of hyperholomorphic functions on quaternion analysis, and obtain equivalence relations for domains of hyperholomorphy and hyper Stein domains in a domain of $C^2{\times}C^2$.

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PROPERTIES OF HYPERHOLOMORPHIC FUNCTIONS ON DUAL TERNARY NUMBERS

  • Jung, Hyun Sook;Shon, Kwang Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제20권2호
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    • pp.129-136
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    • 2013
  • We research properties of ternary numbers with values in ${\Lambda}(2)$. Also, we represent dual ternary numbers in the sense of Clifford algebras of real six dimensional spaces. We give generation theorems in dual ternary number systems in view of Clifford analysis, and obtain Cauchy theorems with respect to dual ternary numbers.

HEART AND COMPLETE PARTS OF (R, S)-HYPER BI-MODULE

  • Nooranian, M.;Davvaz, B.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권3호
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    • pp.207-230
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    • 2022
  • In this article, we investigate several aspects of (R, S)-hyper bi-modules and describe some their properties. The concepts of fundamental relation, completes part and complete closure are studied regarding to (R, S)-hyper bi-modules. In particular, we show that any complete (R, S)-hyper bi-module has at least an identity and any element has an inverse. Finally, we obtain a few results related to the heart of (R, S)-hyper bi-modules.

Purely Extending Modules and Their Generalizations

  • Shiv Kumar;Ashok Ji Gupta
    • Kyungpook Mathematical Journal
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    • 제63권1호
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    • pp.15-27
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    • 2023
  • A purely extending module is a generalization of an extending module. In this paper, we study several properties of purely extending modules and introduce the notion of purely essentially Baer modules. A module M is said to be a purely essentially Baer if the right annihilator in M of any left ideal of the endomorphism ring of M is essential in a pure submodule of M. We study some properties of purely essentially Baer modules and characterize von Neumann regular rings in terms of purely essentially Baer modules.