• Title/Summary/Keyword: Theory U

Search Result 785, Processing Time 0.026 seconds

HORIZONTAL SUBSPACES IN THE BUNDLE OF LINEAR FRAMES

  • Park, Joon-Sik
    • Honam Mathematical Journal
    • /
    • v.34 no.4
    • /
    • pp.513-517
    • /
    • 2012
  • Let L(M) be the bundle of all linear frames over a smooth manifold M, $u$ an arbitrarily given point of L(M), and ${\nabla}:\mathfrak{X}(M){\times}\mathfrak{X}(M){\rightarrow}\mathfrak{X}(M)$ a linear connection on M. Then the following result is well known: the horizontal subspace at the point $u$ may be written in terms of local coordinates of $u{\in}L(M)$ and Christoel's symbols defined by ${\nabla}$. This result is very fundamental on the study of the theory of connections. In this paper we show that the local expression of the horizontal subspace at the point u does not depend on the choice of a local coordinate system around the point $u{\in}L(M)$, which is rarely seen.

LINEAR CONNECTIONS IN THE BUNDLE OF LINEAR FRAMES

  • Park, Joon-Sik
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.25 no.4
    • /
    • pp.731-738
    • /
    • 2012
  • Let L(M) be the bundle of all linear frames over $M,\;u$ an arbitrarily given point of L(M), and ${\nabla}\;:\;\mathfrak{X}(M)\;{\times}\;\mathfrak{X}(M)\;\rightarrow\;\mathfrak{X}(M)$ a linear connection on L(M). Then the following results are well known: the horizontal subspace and the connection form at the point $u$ may be written in terms of local coordinates of $u\;{\epsilon}\;L(M)$ and Christoffel's symbols defined by $\nabla$. These results are very fundamental on the study of the theory of connections. In this paper we show that the local expressions of those at the point $u$ do not depend on the choice of a local coordinate system around the point $u\;{\epsilon}\;L(M)$, which is rarely seen. Moreover we give full explanations for the following fact: the covariant derivative on M which is defined by the parallelism on L(M), determined from the connection form above, coincides with $\nabla$.

ON THE CAUCHY PROBLEM FOR SOME ABSTRACT NONLINEAR DIFFERENTIAL EQUATIONS

  • Hamza A.S. Abujabal;Mahmoud M. El-Boral
    • Journal of applied mathematics & informatics
    • /
    • v.3 no.2
    • /
    • pp.279-290
    • /
    • 1996
  • In the present paper we study the Cauchy problem in a Banach space E for an abstract nonlinear differential equation of form $$\frac{d^2u}{dt^2}=-A{\frac{du}{dt}}+B(t)u+f(t, W)$$ where W=($A_1$(t)u, A_2(t)u)..., A_{\nu}(t)u), A_{i}(t),\;i=1,2,...{\nu}$,(B(t), t{\in}I$=[0, b]) are families of closed operators defined on dense sets in E into E, f is a given abstract nonlinear function on $I{\times}E^{\nu}$ into E and -A is a closed linar operator defined on dense set in e into E which generates a semi-group. Further the existence and uniqueness of the solution of the considered Cauchy problem is studied for a wide class of the families ($A_{i}$(t), i =1.2...${\nu}$), (B(t), $t{\in}I$) An application and some properties are also given for the theory of partial diferential equations.

Research on Government-Industry-University-Academy Collaboration in China

  • Yang, Yu;Xiaoyan, Lin
    • Proceedings of the Korea Technology Innovation Society Conference
    • /
    • 2006.11a
    • /
    • pp.93-100
    • /
    • 2006
  • This paper deals with Government-Industry-University-Academy (G-I-U-A) collaboration mechanism in China from the perspective of National Innovation Systems (NIS) theory. The focus of the article is on the analytical and methodological issues arising from the G-I-U-A collaboration. How the O-I-U-A collaboration changes in China is identified here. After some review of academic research, the paper reveals the key roles which Government, Industry, University and Academy should play. According to the government behavior in innovation activities, a G-I-U-A collaboration mechanism with Chinese characteristics is provided in the paper.

  • PDF

A Study on User Acceptance Model of uTradeHub Service Based on Unified Theory of Acceptance and Use of Technology (통합기술수용이론(UTAUT) 기반 uTradeHub 서비스의 사용자 수용모형에 관한 연구)

  • Song, Sun-Yok
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.18 no.8
    • /
    • pp.181-189
    • /
    • 2017
  • This study examines whether the variables used in the Unified Theory of Acceptance and Use of Technology(performance expectancy, effort expectancy, social influence, and facilitating conditions) is applicable to continuous usage of uTradeHub at a time of expansion in the use of uTradeHub. In addition, the role of user satisfaction(mediating effect) and CEO support(interaction effect) in the relationship is identified attempting to provide basic data to help uTradeHub management strategy establishment. A total of 101 valid responses collected through questionnaires were used for empirical analysis(using SPSS 24.0), and the results are as follows. First, for the effect of the integration technology acceptance factor on user satisfaction(H1), only performance expectancy, effort expectancy, and social influence were significant, but facilitating conditions was not significant. Second, for the effect of user satisfaction on the continued use of uTradeHub(H2), there was a significant result. Third, the mediation effect on verification of user satisfaction(H3) was full where performance expectancy, effort expectancy, and social influence prompted continuous usage through user satisfaction. Fourth, for interactive effect verification of CEO support(H4), an interaction effect was shown only in the influence relationship of performance expectancy and social influence on user satisfaction.

Estimating the Automobile Insurance Premium Based on Credibilities (여러가지 신뢰도에 근거한 자동차 보험료 예측)

  • Kim, Yeong-Hwa;Kim, Mi-Jung;Kim, Myung-Joon
    • The Korean Journal of Applied Statistics
    • /
    • v.24 no.2
    • /
    • pp.279-292
    • /
    • 2011
  • Credibility theory is one of the most important theories of actuarial science to calculate the proper insurance premium. In this paper, the rule of relative exposure volume, the square root rule, the B$\"{u}$hlmann credibility and B$\"{u}$hlmann-Straub credibility with the basic concept of credibility have been introduced, Also, we estimate new premiums based on these methods for real data. As a result, the rule of relative exposure volume provides the highest accuracy.

A Construction Theory of Arithmetic Operation Unit Systems over $GF(2^m)$ ($GF(2^m)$ 상의 산술연산기시스템 구성 이론)

  • 박춘명;김흥수
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.27 no.6
    • /
    • pp.910-920
    • /
    • 1990
  • This paper presents a method of constructing an Arithmetic Operation Unit Systems (A.O.U.S.) over Galois Field GF(2**m) for the purpose of the four arithmetical operation(addition, subtraction, multiplication and division between two elements in GF(2**mm). The proposed A.O.U.S. is constructed by following procedure. First of all, we obtained each four arithmetical operation algorithms for performing the four arithmetical operations using by mathematical properties over GF(2**m). Next, for the purpose of realizing the four arithmetical unit module (adder module, subtracter module, multiplier module and divider module), we constructed basic cells using the four arithmetical operation algorithms. Then, we realized the four Arithmetical Operation Unit Modules(A.O.U.M.) using basic cells and we constructd distributor modules for the purpose of merging A.O.U.M. with distributor modules. Finally, we constructed the A.O.U.S. over GF(2**m) by synthesizing A.O.U.M. with distributor modules. We prospect that we are able to construct an Arithmetic & Logical Operation Unit Systems (A.L.O.U.S.) if we will merge the proposed A.O.U.S. in this paper with Logical Operation Unit Systems (L.O.U.S.).

  • PDF

A Global Trend on the Accreditation for Mediators - Focused on the U.S. and European Countries - (조정인 인증제에 관한 국제적 동향 - 미국 및 유럽 국가들을 중심으로 -)

  • YI, LORI
    • Journal of Arbitration Studies
    • /
    • v.27 no.2
    • /
    • pp.121-142
    • /
    • 2017
  • A study on the global trend of accreditation for mediators implies many important aspects of controlling of the quality of mediation. Firstly, whether or not having an accreditation system, most European countries and the U.S. have a common understanding on the fact that mediators need to be trained to mediate disputes, apart from their own expertise on the subject matters. Secondly, private-led accreditation has been utilized in countries having a Anglo-American law system such as the United Kingdom and the U.S. a while nation-managed one has been operated in the countries having a continental law system such as Austria, Belgium, Italy and Germany. Thirdly, private mediation service providers (usually institutions or companies) play an active role in the training and accreditation of mediators and further make them act as mediators in the disputes referred to them. Fourthly, the countries having a nation-managed accreditation system usually stipulate a certain mediation training and accreditation requirement by law. Fifthly, there is no uniform trend on the minimum hours of training required for accrediting the mediators. Sixthly, mediation training generally focuses on the practical mediation capacity-building, including mediation theory and role-playing, mediation simulations, peer review and supervision. And finally, the mediation theory mainly includes the role of mediator, mediation procedures, mediation communication, negotiation and communication skills, mediation ethics and mediator's code of conduct, etc.

Three-dimensional Vibration Analysis of Thick, Complete Conical Shells of Revolution (두꺼운 완전 원추형 회전셸의 3차원적 진동해석)

  • Sim Hyun-Ju;Kang Jae-Goon
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.15 no.4 s.97
    • /
    • pp.457-464
    • /
    • 2005
  • A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (not truncated) conical shells of revolution, Unlike conventional shell theories, which are mathematically two-dimensional (2-D). the present method is based upon the 3-D dynamic equations of elasticity. Displacement components $u_{r},\;u_{z},\;and\;u_{\theta}$ in the radial, axial, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in , and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the conical shells are formulated, the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies of theconical shells. Novel numerical results are presented for thick, complete conical shells of revolution based upon the 3-D theory. Comparisons are also made between the frequencies from the present 3-D Ritz method and a 2-D thin shell theory.

Study of Quotations From Western Media in Disaster Report: Focusing on Covid-19 Outbreak

  • Hyun Ban
    • International Journal of Advanced Culture Technology
    • /
    • v.12 no.2
    • /
    • pp.1-6
    • /
    • 2024
  • The Covid 19 pandemic officially broke out in Jan 2020 and ended in Mar.2023, following the WHO, claiming 7 million lives. For the three years, while the world made concerted effort to fight against the deadly virus, South Korea was praised as a model country in that the country effectively contained the spread of the virus. Given this, the paper aims to figure out how South Korea's story was quoted by looking at six editorials in the New York Times and the Washington Post. For this aim, we have analyzed linguistic expressions within White (2003)'s appraisal theory and then conducted a key word frequency analysis. The analysis results as follows: first South Korea's story was quoted to criticize the U.S. government of its wrong management to the Covid-19, also giving some lessons to the world; second, both newspapers attribute the South Korea's success to its swift and rapid response to the pandemic; and third, the Washington Post showed more positive attitude to South Korea than the New York Times by quoting the country's success more frequently with more positive words in evaluating the country's responses to the pandemic while both newspapers showed negative attitudes to the U.S. government to the issue. Thus, it can be concluded that linguistic expressions in quotations are effectively used in showing the newspapers' attitude toward South Korea and the U.S.