• Title/Summary/Keyword: Rational Action

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Homotopical triviality of entire rational maps to even dimensional spheres

  • Suh, Dong-Youp
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.807-814
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    • 1996
  • Let $G = Z_2$. Let X be any compact connected orientable nonsingular real algebraic variety of dim X = k = odd with the trivial G action, and let Y be the unit sphere $S^{2n-k}$ with the antipodal action of G. Then we prove that any G invariant entire rational map $f : x \times Y \to S^{2n}$ is G homotopically trivial. We apply this result to prove that any entire rational map $g : X \times RP^{2n-k} \to S^{2n}$ is homotopically trivial.

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Artifacts and Conditions for Attribution of Responsibility (인공물과 책임귀속 조건)

  • Kim, Nam-ho
    • Journal of Korean Philosophical Society
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    • v.147
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    • pp.59-76
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    • 2018
  • What are the conditions make a being x a moral agent? Can an artifact be moral agent? A moral agent is considered to be a rational being capable of distinguishing between right and wrong. This study critically analyzed Davidson's position on the condition of the rational being and argued that the network of beliefs with propositional attitude and the beliefs as their background cannot be a requisite for the rational being. Later, it proves that the conditions proposed by $Proke{\check{s}}ov{\acute{a}}$ are merely paratactically listed superficial elements. The moral agent in this study includes the rational agent and it is proven that the strong first person viewpoint is the necessary and sufficient condition for rational agent and moral agent. In conclusion, it suggested a the sketch of moderate skepticism which sets the tentative limit on the agent potential in an artifact by suggesting conditions for moral agent instead of intense skepticism that strongly denies the potential as the moral agent.

A NOTE ON g-SEMISIMPLICITY OF A FINITE-DIMENSIONAL MODULE OVER THE RATIONAL CHEREDNIK ALGEBRA OF TYPE A

  • Gicheol Shin
    • Journal of the Chungcheong Mathematical Society
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    • v.36 no.2
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    • pp.77-86
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    • 2023
  • The purpose of this paper is to show that a certain finite dimensional representation of the rational Cherednik algebra of type A has a basis consisting of simultaneous eigenvectors for the actions of a certain family of commuting elements, which are introduced in the author's previous paper. To this end, we introduce a combinatorial object, which is called a restricted arrangement of colored beads, and consider an action of the affine symmetric group on the set of the arrangements.

Hybrid filter for noise reduction (잡음제거를 위한 하이브리드 필터)

  • Joh, Beom Seok;Kim, Young Ro
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.7 no.4
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    • pp.133-139
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    • 2011
  • In this paper, we propose a hybrid filter for noise reduction. The proposed method adjusts rational filtering direction according to an edge in the image using median filtered data. Rational filter modulates the coefficients of a linear lowpass filter to limit its action in presence of image details. By the ratio of polynomials in the input variables, rational filter reduces noise adaptively. Median filter is widely used to reduce impulse noise, but removes some details for highly corrupted images. Also, desirable details are removed when the window size is large. Our proposed algorithm combines rational filter and median filter. Thus, proposed method not only preserves edge, but also reduces noise in uniform region. Experimental results show that our proposed method has better quality than those by existing median and rational filtering methods.

Lateral ultimate behavior of prestressed concrete box girder bridges (프리스트레스트 콘크리트 박스거더의 횡방향 극한거동 실험 연구)

  • Oh, Byung-Hwan;Choi, Young-Cheol;Lee, Seung-Cheol
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.479-482
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    • 2005
  • The concrete box girder members are extensively used as a superstructure in bridge construction. The load carrying capacity of concrete box girders in lateral direction is generally influenced by the sizes of haunch and web. The internal upper decks are restrained by the webs and exhibit strength enhancement due to the development of aching action. The current codes do not have generally consider the arching action of deck slab in the design because of complexity of the behavior. However, there are significant benefits in utilizing the effects of arching action in the design of concrete members. The main objective of this paper is to propose a rational method to predict the ultimate load of deck slab by considering various haunch sizes and web restraint effect of concrete box girder bridges. To this end, a comprehensive experimental program has been set up and seven large-scale concrete box girders have been tested. A transverse analysis model of concrete box girders with haunches is proposed and compared with test data. The results of present study indicate that the ultimate strength is significantly affected by haunch dimension. The increase of strength due to concrete arcing action is reduced with an increase of prestressing steel ratio in laterally prestressed concrete box girders and increases with a larger haunch dimension. The proposed theory allows more realistic prediction of lateral ultimate strength for rational design of actual concrete box girder bridges.

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Transfer function approximation of motion-induced aerodynamic forces with rational functions

  • Kirch, Arno;Peil, Udo
    • Wind and Structures
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    • v.14 no.2
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    • pp.133-151
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    • 2011
  • For a detailed investigation of the dynamic behaviour of slender bridges under wind action especially the motion-induced fluid forces should be available not only for harmonic motions but also for more general ones. If linear transfer behaviour is assumed, the force-displacement relation for almost arbitrary motions can be handled in the frequency domain using aerodynamic transfer functions. In aerospace engineering as well as in bridge engineering, these functions are usually approximated by special kinds of complex-valued rational functions which depend on complex frequencies. The quality of this approximation is evaluated for several bridge cross sections in this article. It is shown that rational functions are for some sections scarcely suitable to realistically represent the transfer behaviour of motion-induced aerodynamic forces for arbitrarily complex frequencies.

A Study on the Rational Shear Model by interpretation of Stuttgart Beam Shear Test (Stuttgart 콘크리트 보 전단실험의 재해석을 통한 합리적 전단모델 연구)

  • 김우;모귀석;정제평
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.884-889
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    • 2003
  • Based on the reinterpretation of the well-known relationship between shear and the rate of change of bending moment in a reinforced concrete beam subject to combined shear and moment loads, the shortcomings of present truss models are discussed. The core of the theory is that a new perspective on the shear strength can be gained by viewing the internal stress filed in terms of the superposition of two base components of shear resistance; arch action and beam action. The arch action can be designed using the simple truss having curved compression chord, while the beam action between the two chords can be modeled using a parallel chord truss with MCFT or RA-STM. The compatibility of deformation associated to the two action is taken into account by employing a characteristic factor a. The new model was examined by the Stuttgart beam shear tests, and the results show that the present approach provides good estimates of stirrup contribution and concrete contributions.

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Exchange paradox and rational decision (교환역설과 합리적 의사결정)

  • 채경철;안창원
    • The Korean Journal of Applied Statistics
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    • v.9 no.1
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    • pp.203-214
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    • 1996
  • In this tutorial note, we resolve debates generated by Exchange Paradox. In particular, we show that Bayesian solution is superior to frequentist's. Then, in terms of decision analysis, we show that any rational decision is superior to no-action policy.

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Empirical Study on Factors Affecting Housing Transactions Based on Theory of Reasoned Action

  • Jong Young Yoo;Chang Geun Jeong
    • International Journal of Internet, Broadcasting and Communication
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    • v.15 no.2
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    • pp.89-101
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    • 2023
  • The purpose of this study is to empirically analyze the rational decision-making process and perception differences of housing transactions in the market environment. It was designed through an analysis of the factors influencing housing sales based on the rational behavior theory model. Objective evidence was provided for the impact factors affecting the attitude towards housing sales, with the spouse and children being identified as significant influencers. Additionally, children and friends were found to have an impact on subjective norms related to housing sales, especially for unmarried individuals under 40 years of age and those with low income, who were found to be more influenced by their parents. It was also discovered that the influence of these factors varied based on age and income levels. Younger individuals tended to rely more on their parents or friends, while those with high incomes showed stronger willingness to purchase homes. The presence of beneficial infrastructure for children was found to directly influence the decision to purchase a home. The study also provided objective evidence that the decision to purchase a home is influenced not only by economic factors but also by continuous encouragement and information from those around the buyer. These findings demonstrate the importance of the influence of close acquaintances in the rational decision-making process of home buyers. However, this study only investigated a limited portion of the factors influencing housing sales, as the market is affected by a variety of financial and governmental policies. Therefore, future research should consider various complex factors simultaneously when analyzing the influence of housing sales.

Family Functioning, Marital Conflicts, Conflict Coping Strategies and Couple's Psychological Adjustment (가족체계의 기능성, 부부간 갈등 및 대처방안과 부부의 심리적 적응과의 관계)

  • 최규련
    • Journal of the Korean Home Economics Association
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    • v.33 no.6
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    • pp.99-113
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    • 1995
  • The purposes of this study were to investigate the interrelationships between family functioning, marital conflicts, conflict coping strategies and couple's psychological adjustment, and to identify the influence of each variables on couple's psychological adjustment. The subjects of this study were 532 couples with teen-aged children in seoul. the major findings were as follows ; 1) The couples' perception of their family funstioning(family cohesion and family adaptability) had linear relations with psychological adjustment(marital satisfaction, self-esteem, and depression). 2) For both spouses, marital conflicts, avoidance strategy, action-expression strategy, emotional strategy and outside-aid seeking strategy were negatively related to family functioning, marital satisfaction and self-esteem, and were positively related to depression, Rational coping strategy was positively related to marital satisfaction and self-esteem, and were negatively related to depression. 3) Couples' marital satisfaction were significantly affected by marital conflicts, avoidance strategy, family functioning and family income. Couples' self-esteem were significantly affected by rational coping strategy, family functioning, family income and avoidance strategy. Couples depression were significantly affected by marital conflicts, emotional strategy, and avoidance & action expression strategy. In addition, wives' self-esteem were affected by family functioning. And there were differences between wives and husbands in the findings.

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