• Title/Summary/Keyword: transcendental

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A NOTE ON THE VALUE DISTRIBUTION OF f2(f')n FOR n≥2

  • Jiang, Yan
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.365-371
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    • 2016
  • Let f be a transcendental meromorphic function in the complex plane $\mathbb{C}$, and a be a nonzero constant. We give a quantitative estimate of the characteristic function T(r, f) in terms of $N(r,1/(f^2(f^{\prime})^n-a))$, which states as following inequality, for positive integers $n{\geq}2$, $$T(r,f){\leq}\(3+{\frac{6}{n-1}}\)N\(r,{\frac{1}{af^2(f^{\prime})^n-1}}\)+S(r,f)$$.

A NOTE ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS

  • Bhoosnurmath, Subhas S.;Chakraborty, Bikash;Srivastava, Hari M.
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1145-1155
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    • 2019
  • Let f be a transcendental meromorphic function, defined in the complex plane $\mathbb{C}$. In this paper, we give a quantitative estimations of the characteristic function T(r, f) in terms of the counting function of a homogeneous differential polynomial generated by f. Our result improves and generalizes some recent results.

A Criticism of the Epistemological Premise of Kant's Transcendental Logic and that of Lacan's Psychoanalytic Logic, and Justification of Structure-Constructivist Epistemology(1) (칸트의 선험적 논리학과 라캉의 정신분석적 논리학의 인식론적 전제에 대한 비판과 구조-구성주의 인식론 정초(I))

  • Moun, Jean-sou
    • Journal of Korean Philosophical Society
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    • v.137
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    • pp.151-191
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    • 2016
  • Kant and Lacan strongly criticized the epistemological premise of formal logic. However, Lacan was opposed to Kant in terms of subject, object, knowledge and truth. From the viewpoint of Kant's transcendental logic, formal logic does not have the ability to represent the nature of truth. On the other hand, from the viewpoint of Lacan's psychoanalytic logic, Kant's transcendental logic misunderstands or only partially represents the state of things. But I would like to try to criticize the epistemological premise of the two forms of logic. Transcendental logic takes the evident and new function in that it has studied the necessary condition of content rather than the form of thinking which formal logic considers as his object of study. Transcendental logic evidently studies the categories which dominate our way of thinking. Can we say that the 12 categories which Kant provided are sufficient in explaining the necessity of thinking? Lacan's psychoanalytic logics tells us that Kant's categories are only a kind of metaphor related with hypothesis that tries to explain the possibility of synthetical judge a priori. Is Lacan's psychoanalytic logic sufficient in explaining the possibility of science? It is not sufficient in explaining the objectivity and strictness of science, for it depends on metaphor and metonymy which are useful to literature and unconsciousness. I would like to try to synthesize Kant's transcendental and Lacan's psychoanalytic logic in terms of structure-constructivism which combines both formal and dialectical logic, which is consistent with the ideal of human science, and not blinkered science. My conclusion is that Kant's ethical and esthetical theory should be modified though Lacan's psychoanalytic logic, and Lacan's theory of the unconsciousness revised by Kant's transcendental logic.

Democratic vistas in Walt Whitman's poetry (휘트먼 시의 민주주의 전망)

  • Yang, Hyun-Chul
    • English Language & Literature Teaching
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    • v.9 no.spc
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    • pp.167-184
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    • 2003
  • This paper is to analyze how Walt Whitman developed the theme and structure of Leaves of Grass with his ideal of democratic vistas. Whitman established his identity as an inspired poet, having faith in the divinity of man based on transcendental belief. After being awakened to the transcendental truth, he practiced his own common world view--his democratic vistas. Whitman searched for the unity with nature and identified his self with "common man and his nation." The poetry expresses "cosmological and national ideology" dedicated to the creation of an ideal nation united in eternal freedom and peace. By portraying common cosmic and national theme in terms of his individual personality, he brought various paradoxical and controversial ideas into one thing, namely "democracy", fusing diversity into unity. As in the symbol of the grass, there is a unity in variety reflected by democracy in a cosmological and political compound. With the form of free verse, he could express his liberal unrestrained and mystical thoughts of democracy. This new form has been associated with the poet's strong consciousness of the need for modernization in his country. He willingly assumed "the role of prophet and public voice for American democrat" with the rolling catalogues and I-persona which formed a sense of the common man and common things of America. Whitman pioneered a democrat literature with simple and dynamic tone and style. He successively pursued the democratic vistas in his Leaves of Grass.

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The Esthetic Characteristics in Jean Paul Gaultier's Haute Couture Work (Jean Paul Gaultier의 Haute Couture 작품에 표현된 미적 특성)

  • Kim, Sun-Young
    • Journal of the Korean Home Economics Association
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    • v.44 no.4 s.218
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    • pp.1-9
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    • 2006
  • This study examines the esthetic characteristics in the haute couture work of Jean Paul Gaultier, who represents the fashion in France and is famous for avant-garde and experimental works through dismantling, from the first haute couture collection in 1997 to the present. The materials for the study are the precedent studies, the related literature, and the photographs of the works and the interview articles in domestic and international fashion journals. Three characteristics are revealed in his works. First of all, he provided a transcendental fashion different from the established wearing or ornamental ways by dismantling the dichotomies between male and female, time and space, and beauty and ugliness. Second, he reflected the decadent beauty recognized as representing women's sexual and provocative expression based on exposure, suppression, perversion, and grotesque manifestations by shaping an esthetic value within a different point of view. Finally, he was characterized as being transcendental with an eclectic fusion of intercultural differences or dynamics, items in costume formation, time and space, and eastern and western. This transcendental expression, Gaultier's desire for creativeness, can be an ideal characterizing this era.

A Study on the Methods to Embody Spectacle Realism in the Aerial Battle Scenes of Movie (영화의 공중전 장면에서 스펙타클 리얼리즘의 형상화 방식 연구)

  • Lee, JongHoon
    • Journal of Korea Multimedia Society
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    • v.22 no.6
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    • pp.716-728
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    • 2019
  • This study explores the concept of spectacular realism. and finds out how spectacular realism is made in movies. The Movies's spectacle is a realistic spectacle that does not miss the reality. so audiences can immerse themselves in it. Nowadays the spectrum of visual realism is becoming very diverse. "Perceptual realism" means to feel more like real than to reproduce reality as it is. "Synthetic realism" is a realism that CGI makes. And "Spectacular realism" makes the spectators concentrate to images than narrative or character. It means the dominance of the visual. The films and showed "Spectacular realism" especially in the aerial battle scenes. The films use 'Presentation of a new spatial sensation using unusual angles', 'Editing that constitutes transcendental time' and 'Intense contrast' as methods to embody spectacular realism. And the harmonious arrangement of transcendental images and very realistic screens effectively embodies Spectacular Realism. This discussion, which began in the air battle scene, could contribute to a broader and more diverse exploration of the implementation of spectacular realism images in the future.

"Ascending to Heaven and Becoming an Immortal": Sublime Words with Deep Meaning and Ultimate Value in Daoist Culture (道文化终极价值的文字学阐释: 兼论「大巡」「道通真境」之人文意涵)

  • Zeng, Yong
    • Journal of the Daesoon Academy of Sciences
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    • v.34
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    • pp.293-321
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    • 2020
  • The value embodied by "Ascending to Heaven and Being an Immortal" (Yuhua Dengxian in Chinese) implies the core gist of Daoist culture as well as its ultimate value. From the perspective of Philology, each word, "Yu", "Hua", "Deng", and "Xian" benefits us through a philosophy of life, learning skills, the pursuit of the mysteries of Daoist immortality, and the ways of life characteristics and spiritual transcendence. "To become an immortal" is becoming adept at life. "Yuhua" refers to learning transcendental skills, and "Deng" expresses the promotion of life. "Ascending to Heaven and Becoming an Immortal" integrates the goal- oriented values of Daoist Culture, learning transcendental skills, and the state of being alive into a unified whole. Namely, it is the perfect combination of an adept's supreme pursuit of value and zenith of life. By way of contrast, in Daesoon Jinrihoe, the concepts of "Daesoon" and "Perfected Unification with the Dao" not only advocate "physical and mental transformation" and "spiritual development" for Dao cohorts, but also personal cultivation and service to society, and participation in "The Creation of an Earthly Paradise." These are unified under the ideal humanistic value of "the earthly paradise of the Later World."

Theory of the Dead's Mind: Does the Mind of the Dead Transcend Time and Space? (죽은 사람의 마음 이론: 죽은 사람의 마음은 시공간을 초월하는가?)

  • Kim, Euisun;Kim, Sung-Ho
    • Korean Journal of Cognitive Science
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    • v.29 no.2
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    • pp.105-120
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    • 2018
  • Current neuroscience views the mind-body problem from the monistic perspective which claims that the human mind is the result of brain activity and that the mind shuts down when the brain does. However, a considerable number of lay people still believe in the existence of the soul and the afterlife, concepts that are hard to explain from the monistic perspective. This study examines whether lay people think that the mind of the dead is capable of exceeding the physical constraints if they believe that such mind exists. After reading one of three vignettes which describes the state of the protagonist as alive, dead, or brain dead, the participants evaluated the protagonist's general mental capacity and transcendental ability to obtain new information. The participants rated that the dead protagonist had more 'transcendental ability to obtain new information' than the alive one if they evaluated high general mental capacity to the protagonist. In addition, unlike the alive condition, in the dead and the brain dead condition, there was a correlation between the general mind capacity rating and the transcendental ability rating. The results suggest that lay people expect the mind of the alive and the dead to be different, as they believe the latter's general mind capacity connotes transcendental ability. We also found that the participants' religiosity affected their beliefs about the transcendental ability of dead person.

A design of transcendental function arithmetic unit for lighting operation of mobile 3D graphic processor (모바일 3차원 그래픽 프로세서의 조명처리 연산을 위한 초월함수 연산기 구현)

  • Lee, Sang-Hun;Lee, Chan-Ho
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.715-718
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    • 2005
  • Mobile devices is getting to include more functions according to the demand of digital convergence. Applications based on 3D graphic calculation such as 3D games and navigation are one of the functions. 3D graphic calculation requires heavy calculation. Therefore, we need dedicated 3D graphic hardware unit with high performance. 3D graphic calculation needs a lot of complicated floating-point arithmetic operation. However, most of current mobile 3D graphics processors do not have efficient architecture for mobile devices because they are based on those for conventional computer systems. In this paper, we propose arithmetic units for special functions of lighting operation of 3D graphics. Transcendental arithmetic units are designed using approximation of logarithm function. Special function units for lighting operation such as reciprocal, square root, reciprocal of square root, and power can be obtained. The proposed arithmetic unit has lower error rate and smaller silicon area than conventional arithmetic architecture.

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STRUCTURE OF APÉRY-LIKE SERIES AND MONOTONICITY PROPERTIES FOR BINOMIAL SUMS

  • Alkan, Emre
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.225-242
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    • 2017
  • A family of $Ap{\acute{e}}ry$-like series involving reciprocals of central binomial coefficients is studied and it is shown that they represent transcendental numbers. The structure of such series is further examined in terms of finite combinations of logarithms and arctangents with arguments and coefficients belonging to a suitable algebraic extension of rationals. Monotonicity of certain quotients of weighted binomial sums which arise in the study of competitive cheap talk models is established with the help of a continuous extension of the discrete model at hand. The monotonic behavior of such quotients turns out to have important applications in game theory.