• Title/Summary/Keyword: faithful representation

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SOME RESULTS ON MONOGENIC AND FAITHFUL D.G. REPRESENTATIONS

  • Cho, Yong Uk
    • Journal of the Chungcheong Mathematical Society
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    • v.16 no.2
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    • pp.59-73
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    • 2003
  • Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic near-ring groups, faithful monogenic near-ring groups, monogenic and faithful D.G. representations in near-rings.

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SOME RESULTS OF R-GROUP STRUCTURES

  • Cho, Yong Uk
    • Korean Journal of Mathematics
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    • v.16 no.3
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    • pp.271-280
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    • 2008
  • In this paper, we initiate a study of faithful R-group G and some substructures of R and G. Next, we investigate a faithful representation of near-ring R and some properties of monogenic Rgroups.

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A STUDY ON SUBSTRUCTURES OF R-GROUPS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.171-177
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    • 2009
  • Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate a study of R-substructures of G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic R-groups, faithful monogenic R-groups and a generalization of annihilator concepts in R-groups.

SPECTRA OF THE IMAGES UNDER THE FAITHFUL $^*$-REPRESENTATION OF L(H) ON K

  • Cha, Hyung-Koo
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.1
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    • pp.23-29
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    • 1985
  • Let H be an arbitrary complex Hilbert space. We constructed an extension K of H by means of weakly convergent sequences in H and the Banach limit. Let .phi. be the faithful *-representation of L(H) on K. In this note, we investigated the relations between spectra of T in L(H) and .phi.(T) in L(K) and we obtained the following results: 1) If T is a compact operator on H, then .phi.(T) is also a compact operator on K (Proposition 6), 2) .sigma.$_{l}$ (.phi.(T)).contnd..sigma.$_{l}$ (T) for any operator T.mem.L(H) (Corollary 10), 3) For every operator T.mem.L(H), .sigma.$_{ap}$ (.phi.(T))=.sigma.$_{ap}$ (T))=.sigma.$_{ap}$ (T)=.sigma.$_{p}$(.phi.(T)) (Lemma 12, 13) and .sigma.$_{c}$(.phi.(T))=.sigma.(Theorem 15).15).

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Automatic Generation of Pointillist Representation-like Image from Natural Image (자연 화상에서 점묘화풍 화상으로의 자동생성)

  • Do, Hyeon-Suk;Jo, Pyeong-Dong;Choe, Yeong-Jin
    • The Transactions of the Korea Information Processing Society
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    • v.2 no.1
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    • pp.130-136
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    • 1995
  • This paper is on the development of tools to generate pointillist representation-like images automatically by computer. Pointillist representation -like effects on the generated images are enforced by steps as follows. First, the position of brush stroke is determined from the gradient vector so that the brush touches look more natural. Second, pointillist representation-like coloring is endorsed by changing saturation and value using the RGB components of image. Our approach combines image processing techniques with computer graphics techniques for more faithful pointillist representation-like images and a couple of sample images are presented to show the effectiveness.

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FUZZY SEMIGROUPS IN REDUCTIVE SEMIGROUPS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • v.21 no.2
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    • pp.171-180
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    • 2013
  • We consider a fuzzy semigroup S in a right (or left) reductive semigroup X such that $S(k)=1$ for some $k{\in}X$ and find a faithful representation (or anti-representation) of S by transformations of S. Also we show that a fuzzy semigroup S in a weakly reductive semigroup X such that $S(k)=1$ for some $k{\in}X$ is isomorphic to the semigroup consisting of all pairs of inner right and left translations of S and that S can be embedded into the semigroup consisting of all pairs of linked right and left translations of S with the property that S is an ideal of the semigroup.

A Study On Holistic Synthesis Human Face Images (얼굴 영상의 합성에 관한 연구)

  • 박호식;배철수
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.6 no.4
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    • pp.645-651
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    • 2002
  • This paper presents a method to automatically synthesized human fare images from holistic descriptions. We compactly represent the face set by a small set of prototypes, which can be used in simple ways generated controlled morphings. This becomes possible because separation of 2D-shape and texture provides a faithful, closed and convex representation of images, and smooths the mapping between images and their properties. With this approach, the user watches an images being continuously morphed according to his indications, and the synthesized images always obey the natural physiognomic constraints.

ESSENTIAL SPECTRA OF ${\omega}-HYPONORMAL$ OPERATORS

  • Cha, Hyung-Koo;Kim, Jae-Hee;Lee, Kwang-Il
    • The Pure and Applied Mathematics
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    • v.10 no.4
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    • pp.217-223
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    • 2003
  • Let $\cal{K}$ be the extension Hilbert space of a Hilbert space $\cal{H}$ and let $\Phi$ be the faithful $\ast$-representation of $\cal{B}(\cal{H})$ on $\cal{k}$. In this paper, we show that if T is an irreducible ${\omega}-hyponormal$ operators such that $ker(T)\;{\subset}\;ker(T^{*})$ and $T^{*}T\;-\;TT^{\ast}$ is compact, then $\sigma_{e}(T)\;=\;\sigma_{e}(\Phi(T))$.

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A Study on Yi Sang Representation in Media -Focusing on the cinema and the drama (영상매체에 형상화 된 시인 '이상' 표상 연구 -영화 <건축무한육면각체의 비밀>, 드라마 <이상 그 이상>을 중심으로)

  • Son, Mi-young
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.4
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    • pp.29-36
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    • 2019
  • Lee Sang's poems and his portraits are being used in various video media. Depending on the characteristics of the medium and genre, the representation of the poet or higher and his poems are selected and variations in different ways. In a modern era where literature communicates with various media, reviewing how a poet's portrait is shaped is also the process of reading what text wants to convey to the public through a single person. This study examined aspects in which representations of poets or higher were utilized in various image media, and compared and analyzed how poet aberrations are represented in each text. In particular, the discussion centered on the movie and the drama . In the movie , the above poem is used as a hidden puzzle. The film uses the popularly known 'genius' representation to track down Yi Sang's secret. Because of this, the film represents its ideal in a way that is faithful to the genre's custom of Thriller In comparison, the drama was about to re-emerge as a young man with a passion for the inner workings. The cynical attitude shown in the above text is also a reflection of the love for the nation and the times. These different typographical methods are worth noting in terms of the literary man's public perception of "Yi-sang" and the strategy of the new portrait attempt.