• Title/Summary/Keyword: liberal arts

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The Significant Structures of Liquid Halogens (액체 할로겐의 구조에 관하여)

  • Hyungsuk Park;Seihun Chang
    • Journal of the Korean Chemical Society
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    • v.7 no.2
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    • pp.179-181
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    • 1963
  • The partition function of liquid halogens is developed applying the significant liquid structure theory proposed by H. Eyring and co-workers. The parameters in the partition function are determined by triple point technique which was proposed by the authors in the previous paper, and also the thermodynamic properties and the surface tension are calculated by the method therein.

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The Theory of Significant Structure of Liquids : A New Method of Fixing Parameters (액체의 구조에 관하여 -새로운 Parameter 결정법-)

  • Hyungsuk Park;Seihun Chang
    • Journal of the Korean Chemical Society
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    • v.7 no.2
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    • pp.174-178
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    • 1963
  • The new method to determine the parameters in the liquid partition function of H. Eyring and co-workers is proposed, in which method the equilibrium condition of the three phases and the boundary condition of the liquid partition function at the triple point are used. The calculated thermodynamic properties using the new determined parameters are agreed well with the observed values.

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Transient State Theory of Significant Liquid Structure Applied to Alkali Earth Chlorides (용융 알칼리토금속 염화물에 대한 천이상태 이론의 적용)

  • Ahn, Woon-Sun;Chang, Sei-Hun
    • Journal of the Korean Chemical Society
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    • v.14 no.1
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    • pp.109-112
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    • 1970
  • 액체구조의 천이상태 이론을 알칼리토금속 염화물에 적용시켜서 상태합을 유도하였다. 이 상태합으로부터 $SrCl_2$$BaCl_2$의 증기압, 몰부피, 엔트로피등의 열역학적 성질을 계산하여 실험치와 비교하였으며, 천이상태 이론이 용융염에도 잘 적용된다는 결론을 얻었다.

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ON SPECTRAL SUBSPACES OF SEMI-SHIFTS

  • Han, Hyuk;Yoo, Jong-Kwang
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.247-257
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    • 2008
  • In this paper, we show that for a semi-shift the analytic spectral subspace coincides with the algebraic spectral subspace. Using this result, we have the following result. Let T be a decomposable operator on a Banach space ${\mathcal{X}}$ and let S be a semi-shift on a Banach space ${\mathcal{Y}}$. Then every linear operator ${\theta}:{\mathcal{X}}{\rightarrow}{\mathcal{Y}}$ with $S{\theta}={\theta}T$ is necessarily continuous.

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Polygonal Approximation of Digital Curves to Preserve Original Shapes

  • Lee, Dae-Ho;Lee, Seung-Gwan
    • ETRI Journal
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    • v.32 no.4
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    • pp.630-633
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    • 2010
  • In this letter, we propose a novel polygonal approximation of digital curves that preserve original shapes. The proposed method first detects break points, which have two different consecutive vectors, and sets an initial dominant point set. The approximation is then performed iteratively by deleting a dominant point using a novel distance, which can measure both the distance and the angle acuteness. The experimental results show that the proposed method can preserve original shapes and is appropriate for various shapes, including slab-sided shapes.

DISTANCE SPACES, ALEXANDROV PRETOPOLOGIES AND JOIN-MEET OPERATORS

  • KIM, YOUNG-HEE;KIM, YONG CHAN;CHOI, JONGSUNG
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.105-116
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    • 2021
  • Information systems and decision rules with imprecision and uncertainty in data analysis are studied in complete residuated lattices. In this paper, we introduce the notions of distance spaces, Alexandrov pretopology (precotopology) and join-meet (meet-join) operators in complete co-residuated lattices. We investigate their relations and properties. Moreover, we give their examples.

ON LOCAL SPECTRAL PROPERTIES OF GENERALIZED SCALAR OPERATORS

  • Yoo, Jong-Kwang;Han, Hyuk
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.305-313
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    • 2010
  • In this paper, we prove that if $T{\in}L$(X) is a generalized scalar operator then Ker $T^p$ is the quasi-nilpotent part of T for some positive integer $p{\in}{\mathbb{N}}$. Moreover, we prove that a generalized scalar operator with finite spectrum is algebraic. In particular, a quasi-nilpotent generalized scalar operator is nilpotent.

A Study on the Relation between Mathematics Learning Contents of High School Liberal Arts Course and Major Fields of College of Business Administration (고등학교 인문계 수학과 대학 경상계열 전공학문과의 연계성)

  • Park, Yeongyong;Lee, Heonsoo
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.423-443
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    • 2017
  • In this paper, In this paper, we study the recognition of undergraduate students and professors about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We chose 155 undergraduate students and 6 professors at college of business administration in M university and investigate their recognition about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We found following facts. First, mathematics education in high school should be based on understanding of mathematical conceptions and principles rather than problem-solving skills to intensifying the relation between mathematics of high school liberal arts course and major fields of college of business administration. Second, we have impressed upon them, whom are going to college of business administration, the need for more mathematics to study a major field.

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