• Title/Summary/Keyword: 초월

Search Result 749, Processing Time 0.026 seconds

History of Transcendental numbers and Open Problems (초월수의 역사와 미해결 문제)

  • Park, Choon-Sung;Ahn, Soo-Yeop
    • Journal for History of Mathematics
    • /
    • v.23 no.3
    • /
    • pp.57-73
    • /
    • 2010
  • Transcendental numbers are important in the history of mathematics because their study provided that circle squaring, one of the geometric problems of antiquity that had baffled mathematicians for more than 2000 years was insoluble. Liouville established in 1844 that transcendental numbers exist. In 1874, Cantor published his first proof of the existence of transcendentals in article [10]. Louville's theorem basically can be used to prove the existence of Transcendental number as well as produce a class of transcendental numbers. The number e was proved to be transcendental by Hermite in 1873, and $\pi$ by Lindemann in 1882. In 1934, Gelfond published a complete solution to the entire seventh problem of Hilbert. Within six weeks, Schneider found another independent solution. In 1966, A. Baker established the generalization of the Gelfond-Schneider theorem. He proved that any non-vanishing linear combination of logarithms of algebraic numbers with algebraic coefficients is transcendental. This study aims to examine the concept and development of transcendental numbers and to present students with its open problems promoting a research on it any further.

An Optimizing Hyperrectangle method for Nearest Hyperrectangle Learning (초월평면 최적화를 이용한 최근접 초월평면 학습법의 성능 향상 방법)

  • Lee, Hyeong-Il
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.13 no.3
    • /
    • pp.328-333
    • /
    • 2003
  • NGE (Nested Generalized Exemplars) proposed by Salzberg improved the storage requirement and classification rate of the Memory Based Reasoning. It constructs hyperrectangles during training and performs classification tasks. It worked not bad in many area, however, the major drawback of NGE is constructing hyperrectangles because its hyperrectangle is extended so as to cover the error data and the way of maintaining the feature weight vector. We proposed the OH (Optimizing Hyperrectangle) algorithm which use the feature weight vectors and the ED(Exemplar Densimeter) to optimize resulting Hyperrectangles. The proposed algorithm, as well as the EACH, required only approximately 40% of memory space that is needed in k-NN classifier, and showed a superior classification performance to the EACH. Also, by reducing the number of stored patterns, it showed excellent results in terms of classification when we compare it to the k-NN and the EACH.

소리와 음악을 통한 초월 함수의 학습과 교수

  • Choe, Jong-Sul;Kim, Hyang-Suk
    • Communications of Mathematical Education
    • /
    • v.17
    • /
    • pp.77-94
    • /
    • 2003
  • 본고에서는 함수 영역에서 학생들이 가장 배우가 어려워하는 삼각함수와 지수함수 및 로그함수를 대부분의 학생들이 아주 좋아하는 소리와 음악을 통한 새로운 학습과 교수 환경을 제공하고자 한다. 먼저, 소리와 음악을 통하여 학생들의 흥미를 유발시킨다. 두 번째로 초월함수의 성질을 듣고, 볼 수 있게 함으로써 학생들이 이를 쉽게 이해하고 기억할 수 있도록 하였다. 마지막으로 학생들로 하여금 초월함수를 사용하여 그들이 가장 좋아하는 음악을 직접 작곡해보게 함으로서 초월함수들의 실용성을 직접 경험해 보도록 하였다.

  • PDF

A Study on Interorganizational Boundary Spanning Behaviors between Buyers and Sellers (유통경로 내 조직간 영역초월행동에 관한 연구)

  • Kim, Sang-Deok
    • Proceedings of the Korean DIstribution Association Conference
    • /
    • 2007.08a
    • /
    • pp.3-26
    • /
    • 2007
  • Recently, both scholars and marketers have asserted the importance of boundary spanning behaviors, such as external representation, being vocal advocates to outsiders of the organization's image, goods, and services, internal influence, taking individual initiative in communications to the firm and co-workers to improve service delivery by the organization, co-workers, and oneself, and service delivery, serving customers in a conscientious, responsive, flexible, and courteous manner. However, there is lack of study dealing with bourdary spanning behaviors bewteen organizational dyads, in which boundary spanning behaviors are expected to have important roles. The objectives of this paper is to investigate these important concerns with prior research by developing a theoretical model predicting how distinct buyer's boundary spanning behaviors occur. To be concrete, this paper develops a seller characteristics-based model of the attitudinal antecedents of three conceptually distinct forms of boundary spanning behaviors, and tests the hypothesized differential effects of seller characteristics on the three forms of boundary spanning behaviors, and investigates the extent to which these relationships are mediated by relationship satisfaction and organizational commitment. For the purpose of empirical testing, 420 respondents of leading automobile dealers, dining franchisees, industrial material retailers in Korea were surveyed and the analysis utilizing structural equation model indicated that communication quality, fairness, and marketing program dynamism had positive effects on buyer's boundary spanning behaviors via relationship satisfaction and organizational commitment. In addition, boundary spanning behaviors occurred more in contractural and corporate distribution channel than in conventional distribution channel.

  • PDF

The effect of self-transcendence and loneliness on quality of life of the elderly (자기초월과 고독감이 재가 노인의 삶의 질에 미치는 영향)

  • Kim, Soon Yi
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.16 no.10
    • /
    • pp.6679-6687
    • /
    • 2015
  • purpose : The purpose of this study was examine the effect of self-transcendence and loneliness on quality of life of the elderly. Method : This was a descriptive survey study. The subjects was 171 elderly persons. Descriptive statistics, Pearson's correlation, and stepwise multiple regression were used in analysis of data. Results : Average score were 2.7 for self-transcendence, 2.0 for loneliness, and 3.0 for quality of life. Statistically significant positive correlations were observed between quality of life and self-transcendence. however, from the statistical point view, significantly negative correlation was observed between quality of life and loneliness. self-transcendence, economic status, general health status, loneliness and spouse were significant predictors of quality of life. Conclusion : This study will provide basic information for use in development of a program to encourage a quality of life for elderly persons.

Hyper-Rectangle Based Prototype Selection Algorithm Preserving Class Regions (클래스 영역을 보존하는 초월 사각형에 의한 프로토타입 선택 알고리즘)

  • Baek, Byunghyun;Euh, Seongyul;Hwang, Doosung
    • KIPS Transactions on Software and Data Engineering
    • /
    • v.9 no.3
    • /
    • pp.83-90
    • /
    • 2020
  • Prototype selection offers the advantage of ensuring low learning time and storage space by selecting the minimum data representative of in-class partitions from the training data. This paper designs a new training data generation method using hyper-rectangles that can be applied to general classification algorithms. Hyper-rectangular regions do not contain different class data and divide the same class space. The median value of the data within a hyper-rectangle is selected as a prototype to form new training data, and the size of the hyper-rectangle is adjusted to reflect the data distribution in the class area. A set cover optimization algorithm is proposed to select the minimum prototype set that represents the whole training data. The proposed method reduces the time complexity that requires the polynomial time of the set cover optimization algorithm by using the greedy algorithm and the distance equation without multiplication. In experimented comparison with hyper-sphere prototype selections, the proposed method is superior in terms of prototype rate and generalization performance.

A Study on the Structural Impact of Job Stress on the Organizational Commitment and Customer Oriented Boundary Spanning Behavior of Hospital Employees (병원종사자의 직무스트레스가 조직몰입과 고객지향영역초월행동에 미치는 구조적 영향관계 분석)

  • Park, Hye-Young
    • Journal of Digital Convergence
    • /
    • v.11 no.11
    • /
    • pp.603-611
    • /
    • 2013
  • This study examines the impact of job stress on customer-oriented boundary-spanning behavior with the mediating effects of organizational commitment. The survey data was collected from 147 employees working at a hospital and analyzed statistically by using SPSS 18.0 and AMOS 18.0. The result of this study are as follows. Hypothesis 1, Job stress has a negative influence on organizational commitment. Hypothesis 2, Organizational commitment has a positive influence on customer-oriented boundary-spanning behavior. Hypothesis 3, Job stress has a negatively significant impact on customer-oriented boundary-spanning behavior. Accordingly, Organizational commitment has the role of partially mediating the effect between job stress and customer-oriented boundary-spanning behavior. This means that employees working at the point of meeting customers must reduce their job stress in order to improve the service quality of a hospital and creating solutions to reduce job stress of hospital employees can increase customer-oriented boundary-spanning behavior.

Human Theory of Change a basis God of Superiority and Immanence in Eastern learning - from Human should be Attend God to Human being God (동학(東學)에 있어서 천주의 초월성과 내재성에 근거한 인간관의 변화 - 시천주(侍天主)에서 인내천(人乃天)으로의 변화 -)

  • Yi, Jong-woo
    • The Journal of Korean Philosophical History
    • /
    • no.23
    • /
    • pp.245-273
    • /
    • 2008
  • Choi Je Woo was stressed superiority of god and it was immanence. IT was religion human theory. Choi See Hyung and Son Byung Hee writed change from god to the heaven. It was stressed superiority of god better than immanence of heaven. Choi Je Woo of human must attend god changed Choi See Hyung and Son Byung Hee of human being god. Choi See Hyung and Son Byung Hee was stressed the subject. Choi Je Woo was stressed superiority of god speciality. Choi See Hyung and Son Byung Hee was not disappeared absolutely. Son Byung Hee of human being god disappeared absolutely because it leave only immanence of god by Yi Don Hwa.

La signification du dépassement de soi dans le Thomisme (토미즘의 인간적 행위에서 '자기초월'의 의미)

  • Lee, Myung-Gon
    • Journal of Korean Philosophical Society
    • /
    • v.105
    • /
    • pp.49-74
    • /
    • 2008
  • Le but de notre recherche est $d^{\prime}{\acute{e}}clairer$ la nature du $d{\acute{e}}passement$ de soi aux actes humaines dnas le Thomisme. Dans le Thomisme la nature humaine qui a la raison et la $volont{\acute{e}}$ a une $intentionnalit{\acute{e}}$ ver la fin ultime. De sorte que les actes humaines qui $corr{\grave{e}}spondent$ cette nature humaine a un $caract{\grave{e}}re$ du $d{\acute{e}}passement$ de soi visant toujours plus que le $pr{\acute{e}}sent$. Le fondement de cet acte du $d{\acute{e}}passement$ de soi est $l^{\prime}{\hat{a}}me$ rationelle qui est la forme substantielle de l'homme et de soi subsistante. Chez st. Thomas ce $caract{\grave{e}}re$ du $d{\acute{e}}passement$ a trois ${\acute{e}}taps$ distinctes : (1)le $d{\acute{e}}passement$ dans l'ordre du $progr{\grave{e}}s$ naturel (2)le $d{\acute{e}}passement$ de soi dans l'ordre morale (3)le $d{\acute{e}}passement$ de soi dans l'ordre de la religion. Le $d{\acute{e}}passement$ dans l'ordre du $progr{\grave{e}}s$ naturel apparaît d'abord au $caract{\grave{e}}re$ de $l^{\prime}{\hat{a}}me$ rationelle. St. Thomas $d{\acute{e}}finit$ les vertus rationelles comme $^{\prime}pl{\acute{e}}nitude$ dans le $f{\acute{e}}blesse$, parce qu'il $consid{\grave{e}}re$ la vertu rationelle comme $finalit{\acute{e}}$ des $facult{\acute{e}}s$ du sens $ext{\acute{e}}rieur$. L'homme par le sens $ext{\acute{e}}rieur$ reçoit des $esp{\grave{e}}ces$ sensibles(especies sensibilis), et $poss{\grave{e}}de$ les images. Puis cette images sensible devenant la $r{\acute{e}}alit{\acute{e}}$ spirituelle sous forme du $m{\acute{e}}moire$ et du souvenir, devient aussi la partie de son existence. Donc chez st. Thomas la vertue rationnelle n'est pas simplement un $facult{\acute{e}}$ $sp{\acute{e}}culative$, mais elle est dans l'ordre du devenir et du $pl{\acute{e}}nitude$. A cette raison st. Thomas compare la raison(ratio) comme $g{\acute{e}}n{\acute{e}}ration$(generatio) et l'intelleigence(intellectus) comme ${\hat{e}}tre$(esse). C'est-${\grave{a}}$-dire la raison $d{\acute{e}}passe$ le sensible et l'intelligence $d{\acute{e}}passe$ la raison. Le $d{\acute{e}}passement$ de soi dans l'ordre morale $li{\acute{e}}$ au $progr{\grave{e}}s$ de la conscience. Chez st. Thomas la perception de l'objet $ext{\acute{e}}rieur$ ayant pour but d'avoir conscience de soi, se perfectionne ${\grave{a}}$ ceci. D'avoir conscience de soi signifie d'avoir $l^{\prime}identit{\acute{e}}$ de soi, et de-$l{\grave{a}}$ apparaît l'acte moral en tnat qu'acte $sp{\acute{e}}cifique$ humain. La raison pour laquelle la vie morale elle-$m{\hat{e}}me$ a un $caract{\grave{e}}$ du $d{\acute{e}}passement$, c'est que l'acte humaine qui corresfonde ${\grave{a}}$ $l^{\prime}identit{\acute{e}}$ du soi est une vie qui vise toujours plus que le $pr{\acute{e}}sent$ ou $l^{\prime}id{\acute{e}}al$. Quant au problem du $d{\acute{e}}passement$ dans l'ordre de la religion, chez st. Thomas en raison de $l^{\prime}affinit{\acute{e}}$ entre Dieu et l'homme, $o{\grave{u}}$ il y a des vertues infuses(virtutes infusas), il y a une sorte du $d{\acute{e}}passement$ religieux. Car ces vertues infuses signifie la communication entre Dieu(${\hat{E}}tre$ absolu) et l'homme(${\hat{e}}tre$ fine) et cela signifie le $d{\acute{e}}passement$ de l'humain vers le divin. Cette $id{\acute{e}}e$ thomiste permet de penser que $o{\grave{u}}$ il y a un $d{\acute{e}}passement$ de soi dans la vie religuse d'une personne, il y a une intervention $r{\acute{e}}elle$ de la providence divine. Cette $pens{\acute{e}}e$ thomiste sera alors un $caract{\grave{e}}$ $r{\acute{e}}aliste$ face ${\grave{a}}$ la $pens{\acute{e}}e$ $id{\acute{e}}aliste$ qui n'admette que le $d{\acute{e}}passement$ absolu comme $d{\acute{e}}passement$ religieux.

Study on Drag Reduction of Hyper-speed Underwater Vehicles (극초고속 수중운동체의 저항감소기법 연구)

  • Ahn, Byoung-Kwon;Lee, Chang-Sup;Kim, Hyoung-Tae
    • Proceedings of the Korean Society of Propulsion Engineers Conference
    • /
    • 2010.05a
    • /
    • pp.443-449
    • /
    • 2010
  • Recently underwater systems moving at hyper-speed such as a super-cavitating torpedo have been studied for their practical advantage of the dramatic drag reduction. In this study we are focusing our attention on super-cavitating flows around axisymmetric cavitators. A numerical method based on inviscid flow is developed and the results for several shapes of the cavitator are presented. First using a potential based boundary element method, we find the shape of the cavitator yielding a sufficiently large enough cavity to surround the body. Second, numerical predictions of super-cavity are validated by comparing with experimental observations carried out in a high speed cavitation tunnel at Chungnam National University (CNU CT).

  • PDF