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ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS

  • Kim, Tae-Kyun;Rim, Seog-Hoon;Simsek, Yilmaz;Kim, Dae-Yeoul
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.435-453
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    • 2008
  • In this paper, by using q-deformed bosonic p-adic integral, we give $\lambda$-Bernoulli numbers and polynomials, we prove Witt's type formula of $\lambda$-Bernoulli polynomials and Gauss multiplicative formula for $\lambda$-Bernoulli polynomials. By using derivative operator to the generating functions of $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, we give Hurwitz type $\lambda$-zeta functions and Dirichlet's type $\lambda$-L-functions; which are interpolated $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, respectively. We give generating function of $\lambda$-Bernoulli numbers with order r. By using Mellin transforms to their function, we prove relations between multiply zeta function and $\lambda$-Bernoulli polynomials and ordinary Bernoulli numbers of order r and $\lambda$-Bernoulli numbers, respectively. We also study on $\lambda$-Bernoulli numbers and polynomials in the space of locally constant. Moreover, we define $\lambda$-partial zeta function and interpolation function.

A Relative Importance Evaluation for the Perception of Managers on the Comprehensive Rural Village Development Project using Analytic Hierarchy Process (계층분석과정(AHP)을 활용한 권역단위 종합정비사업 사무장 의식의 상대적 중요도 평가)

  • Jang, Dong-Heon
    • Journal of Korean Society of Rural Planning
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    • v.21 no.1
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    • pp.41-50
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    • 2015
  • In this study, the relative importance for the perception of managers on the comprehensive rural village development projects was evaluated using the AHP method. The fields for evaluation were 4 fields including human relationships, working conditions, work compensation and work burnout. Also, the relative importance for the perception of managers and priority order were analyzed through 15 evaluation items. The analysis result shows that the human relationships among 4 fields were regarded as the most important field, followed by work compensation, working conditions and work burnout. Also, the relationship with the chairperson for the human relationships, continuity of employment for the working conditions, salary for work compensation, and mental stress for work burnout were considered respectively as the most important item. Also, salary among all evaluation items was considered as the most important item for the relative importance, followed by continuity of employment, relationship with village residents and mental stress. However, work load, consulting firms, impersonal treatment and the relations between the administration showed relatively low importance and priority order. It is considered that this analysis result will be used as important preliminary data for establishing the role of manager in the comprehensive rural village development project.

Towards Sustainable Agriculture in Korea : Theoretical Backgrounds and Practical Challenges (지속가능한 농업으로의 전환: 실천을 위한 이론과 과제)

  • Rhew, Chan-Hee;Kim, Soo-Suk;Cho, Won-Joo
    • Korean Journal of Organic Agriculture
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    • v.28 no.1
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    • pp.1-30
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    • 2020
  • This study argues that expanding the multifunctionality of agriculture (MFA) may mitigate existing agricultural problems. To do that this study redefines the concept and scope of the MFA and presents practical tasks to achieve it. Theorizing the MFA begins with the theory of sustainability and first identifies the link between sustainability and MFA. Later, considering the limitations of the existing sustainability theories, we examined where the false linkages leading to the destruction of environmental and social relations originated, and employed the (Re)productivity [(Re)produktivitat] theory in order to obtain alternatives. Research shows that welfare effects of the MFA on humans and the environment are not less than those derived from the agricultural products supplied to the real market, but the values are not recognized. The absence of proper care and compensation is the basis of agricultural problems in Korea. Therefore, this study acknowledges that the MFA is as much worthy as real agricultural production, and insists that appropriate compensation and care should be given to humans (farmers) and nature (agricultural ecosystem) in order to maintain and expand the MFA. In other words, a virtuous cycle between sustainability and the MFA means that the process spreads sustainable farming methods to expand the MFA, forms social consensus on it, and pays fair remuneration for agriculture from the public sector. Transition to such a virtuous cycle requires re-establishing the definition and scope of the MFA, implementing targeting policy, motivating policy targets, strengthening human capacity, and arranging maturity time.

Internet Governance & Politics of Expertise (인터넷 거버넌스와 전문성의 정치)

  • Kim, Ji-Yeon
    • Review of Korean Society for Internet Information
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    • v.14 no.3
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    • pp.5-20
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    • 2013
  • ICANN has been governing the Domain Name System(DNS) "technically" since 1998. The architecture is called Internet Governance, and it brings about many different discourses; "What does that govern?", "Who delegate its role to ICANN?"," How could the regime ensure fairness?" etc. This article will analyze on Internet Governance by applying the government approach of Foucault, and try to compare two parts, the 'core' and the 'edge' of Internet Governance for method. Whereas the 'core' of it refers the site that be governed by the formal contract directly, the 'edge' as the rest of it means informal friendly relations with ICANN. The 'core' rule was stemmed from technological community such as IAB or IETF historically. They had invented new world and its population to integrate the technical order as protocol and the semiotic order as language, that be based on new government mode. On the other hand, ".KR" domain, one of the 'edges', has been evolved into more heterogeneous system, through contest and conflict between traditional state and Internet Governance. The governed object of ".KR" domain is situated in the crossing of each other the 'protocol user', the 'language-semiotic user' and the' geographical resident'. Here the 'geographical resident' rule was weird for DNS, so that shows the internal lack of Internet Governance. It needs to move to the concept of 'Hangeul(Korean-language) user' rather than the 'geographical resident'.

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A Study on the Effect of Aluminum Alloy on the Crack Growth Behaviour (알루미늄 합금의 균열진전거동에 관한 연구)

  • Lee, Jong-Hyung;Lee, Hyun-Whan;An, Se-Won;Park, Shin-Kyu
    • Journal of the Korean Society of Industry Convergence
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    • v.7 no.2
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    • pp.145-151
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    • 2004
  • According to the development of the aircraft industry, the fatigue strength of Aluminum Alloy becomes a great important material, but it seems that we don't understand an effect on the crack growth behaviour very well. This thesis is not only studied about the five kinds of 2017-T3, 2023-T3, 5083-0, 7075-T6, 7N01-T6 among the Aluminum Alloy which are the main materials of the aircraft, but also small or large relations against the fatigue strength of them. The consequence of the research was being progressed the accordance with the order. That is, The order is 2024-T3> 2017-T3> 7N01-T6> 7075-T6> 5083-0. These inclusion came out the acceleration phenomena in the crack growth behaviour among the high ${\Delta}K$ section Nevertheless I figured out their effects were being ignored at the 2b step.

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Searching for the Directions of Open Mathematics Education (열린수학교육의 방향 탐색)

  • 정영옥
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.405-423
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    • 1998
  • This study aims to reflect the origin and the meaning of open education and to derive pedagogical principles for open mathematics education. Open education originates from Socrates who was the founder of discovery learning and has been developed by Locke, Rousseau, Froebel, Montessori, Dewey, Piaget, and so on. Thus open education is based on Humanism and Piaget's psychology. The aim of open education consists in developing potentials of children. The characteristics of open education can be summarized as follows: open curriculum, individualized instruction, diverse group organization and various instruction models, rich educational environment, and cooperative interaction based on open human relations. After considering the aims and the characteristics of open education, this study tries to suggest the aims and the directions for open mathematics education according to the philosophy of open education. The aim of open mathematics education is to develop mathematical potentials of children and to foster their mathematical appreciative view. In order to realize the aim, this study suggests five pedagogical principles. Firstly, the mathematical knowledge of children should be integrated by structurizing. Secondly, exploration activities for all kinds of real and concrete situations should be starting points of mathematics learning for the children. Thirdly, open-ended problem approach can facilitate children's diverse ways of thinking. Fourthly, the mathematics educators should emphasize the social interaction through small-group cooperation. Finally, rich educational environment should be provided by offering concrete and diverse material. In order to make open mathematics education effective, some considerations are required in terms of open mathematics curriculum, integrated construction of textbooks, autonomy of teachers and inquiry into children's mathematical capability.

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Case Study for Casting Design of Automobile Part(Gear Box) Using CAE (CAE를 이용한 자동차용 부품(Gear Box)의 주조방안 설계에 대한 사례연구)

  • Kwon, Hongkyu;Jang, Moo-Kyung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.35 no.4
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    • pp.179-185
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    • 2012
  • When manufacturing die casting mold, generally, the casting layout design should be considered based on the relation among injection system, casting condition, gate system, and cooling system. Also, the extent or the location of product defects was differentiated according to the various relations of the above conditions. In this research, in order to optimize casting design of an automobile part (Gear Box) Computer Aided Engineering (CAE) was performed by using the simulation software (Z Cast). The simulation results were analyzed and compared with experimental results. During the mold filling, internal porosities caused by air entrap were predicted and reduced remarkably by the modification of the gate system and the configuration of overflow. With the solidification analysis, internal porosities caused by the solidification shrinkage were predicted and reduced by the modification of the gate system. For making a better production die casting tool, cooling systems on several thick areas are proposed in order to reduce internal porosities caused by the solidification shrinkage.

The Diagnosis and Prescription for Correcting Errors of Putting in Golf Skill : A Case Study (골프 퍼팅 시 오류동작 교정을 위한 진단과 처방)

  • Hah, Chong-Ku
    • Korean Journal of Applied Biomechanics
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    • v.16 no.2
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    • pp.21-24
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    • 2006
  • The purpose of this paper is to diagnose the errors by comparing putting motion with the single pendulum pattern applicable to putting in golf skill and order prescription that correct errors of putting. In the modern-day game of golf, putting remains the key to shooting low scores, and the ability to hole putts can turn a good round into a great round A semi-golfer, subject(sex female, age 20yrs, mass 94.3kg, height 1.65m) who has troubles to do putting is chosen. Six cameras, ProReflex MCU240(240Hz) made by Qualisys company is used to capture putting motion and data is processed by QTM(Qualisys Track Manager) and Mathematica 5.0. The result that differentiates the putting and the single pendulum pattern is acquired To make the pattern of subject's putting to the single pendulum pattern quasi-equal, one tries to lower center of mass gradually. As a result of it, one has a similar pattern like the single pendulum Conclusively, to lower C.O.M one orders prescriptions that increase the weight and length of a putter and lower C.O.M subject's segment. Further improvements to the study could be to train a subject according to prescriptions and to monitor putting again. It will probably be necessary to simulate putting motions and to research relations for body shapes and putting patterns in order to establish suitable putting-motions.

A new refined nonlocal beam theory accounting for effect of thickness stretching in nanoscale beams

  • Kheroubi, Boumediene;Benzair, Abdelnour;Tounsi, Abdelouahed;Semmah, Abdelwahed
    • Advances in nano research
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    • v.4 no.4
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    • pp.251-264
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    • 2016
  • In this paper, a simple and refined nonlocal hyperbolic higher-order beam theory is proposed for bending and vibration response of nanoscale beams. The present formulation incorporates the nonlocal scale parameter which can capture the small scale effect, and it considers both shear deformation and thickness stretching effects by a hyperbolic variation of all displacements across the thickness without employing shear correction factor. The highlight of this formulation is that, in addition to modeling the displacement field with only two unknowns, the thickness stretching effect (${\varepsilon}_z{\neq}0$) is also included in the present model. By utilizing the Hamilton's principle and the nonlocal differential constitutive relations of Eringen, the equations of motion of the nanoscale beam are reformulated. Verification studies demonstrate that the developed theory is not only more accurate than the refined nonlocal beam theory, but also comparable with the higher-order shear deformation theories which contain more number of unknowns. The theoretical formulation proposed herein may serve as a reference for nonlocal theories as applied to the static and dynamic responses of complex-nanobeam-system such as complex carbon nanotube system.

A Study on Cognition about Copyright of Digital Works

  • Lee, Yong-Whan
    • Journal of the Korea Society of Computer and Information
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    • v.22 no.5
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    • pp.41-49
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    • 2017
  • Digital works such as computer programs, music, photographs, movies and dramas are copyrighted. Even if there were more than 1,000 violations per year for digital works, the punishment was very weak. Especially copyright infringement by teenager is increasing. This study aims to present the direction of future development through questionnaires on the perception and direction of college students about copyright. 157 college students were surveyed about copyright awareness, perception of detailed legal provisions, cost of monthly expenses, copyright violation, and direction of copyright protection. As a result of the questionnaire survey, awareness was high at 69%, but in detailed law was low at 17.2% and 22.3%. In the future direction of copyright policy, 72.6% of them answered that they should be "strengthened" and "more and more strengthened". In order to protect copyrights, enforcement of crackdowns, public relations activities, expansion of the legal market, and technical protection should be done. In order to do this, copyright-related education for elementary, middle, high school and college students are needed more and it is necessary to expand the legal market where high quality contents are traded. More research is needed on copyright protection technological methods.