• Title/Summary/Keyword: Number Theory

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나머지 수 체계의 부활

  • 예홍진
    • Journal for History of Mathematics
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    • v.12 no.2
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    • pp.47-54
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    • 1999
  • We introduce some historical facts on number theory, especially prime numbers and modular arithmetic. And then, with the viewpoint of computer arithmetic, residue number systems are considered as an alternate to positional number systems so that high performance and high speed computation can be achieved in a specified domain such as cryptography and digital signal processing.

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Free Vibration Analysis of Multi-delaminated Composite Plates (다층간분리된 적층판의 자유진동해석)

  • Taehyo Park;Seokoh Ma;Yunju Byun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.25-32
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    • 2004
  • In this proposed work new finite element model for multi-delaminated plates is proposed. In the current analysis procedures of multi-delaminated plates, plate element based on Mindlin plate theory is used in order to obtain accurate results of out-of-plane displacement of thick plate. And for delaminated region, plate element based on Kirchhoff plate theory is considered. To satisfy the displacement continuity conditions, displacement vector based on Kirchhoff theory is transformed to displacement of transition element. The numerical results show that the effect of delaminations on the modal parameters of delaminated composites plates is dependent not only on the size, the location and the number of the delaminations but also on the mode number and boundary conditions. Kirchhoff based model have higher natural frequency than Mindlin based model and natural frequency of the presented model is closed to Mindlin based model.

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A Study of the 780 Music of DDC (DDC에 있어서의 음악분야 분류상의 제문제)

  • Hahn Kyung-Shin
    • Journal of the Korean Society for Library and Information Science
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    • v.26
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    • pp.75-112
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    • 1994
  • The purpose of this study is to investigate the problems concerning 780 music division of DDC. The object is especially arrangement of 780 music in the 20th edition of DDC which is the complete revision. The result is summarized as follows : 1. Although music is an important subject in humanities, especially in arts, it was classified as one division (780) not class. 2. The arrangement of 780 music is severely west-oriented music theory, vocal music and instrumental music. 3. Classification number of 780 music becomes longer because of the limitation of decimal notation. 4. 780 music division of DDC neglects music theory and emphasizes music practicing, especially performance. 5. The assignment of classification number is unbalanced, especially between theory and practice, composition and performance, and among sub-sections of vocal and instrumental music. 6. Many important subject are omitted in DDC music schedule, for example, musicology and branches of musicology, composition and traditional instruments of many countries. 7. Employment of terminology is often improper and inconsistant.

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Factors Influencing Photo Sharing for Creating Social Relationships on Instagram (인스타그램에서 사회적 관계 형성을 위한 사진 공유에 영향을 미치는 요인에 관한 연구)

  • Chung, Namho;Um, Taehyee;Koo, Chulmo
    • Knowledge Management Research
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    • v.17 no.4
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    • pp.129-145
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    • 2016
  • Nowadays, owing to the diffusion of smartphones and the growth of social networking services (SNS), the number of people who share their life with other SNS users by posting photos is increasing. The number of Instagram users has been particularly increasing since Instagram started its service in 2010. Compared to other SNS such as Facebook and Twitter, Instagram runs its service by focusing solely on photos, which is a major differentiation factor compared with other existing SNS. Previous studies, however, do not examine SNS that focus on photo sharing adequately. Therefore, we establish a hypothesis relating to the motivations behind a user's photo sharing attitude and posting intention through Instagram. Moreover, this will be achieved by employing TRA(Theory of Reasoned Action) and focusing on intrinsic and extrinsic motivations. The analysis results show that intrinsic motivation influences a user's sharing attitude and subjective norms. Apart from this, Instagram's expressivity influences a user's photo sharing attitude and posting intention.

On the ring of integers of cyclotomic function fields

  • Bae, Sunghan;Hahn, Sang-Geun
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.153-163
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    • 1992
  • Carlitz module is used to study abelian extensions of K=$F_{q}$(T). In number theory every abelian etension of Q is contained in a cyclotomic field. Similarly every abelian extension of $F_{q}$(T) with some condition on .inf. is contained in a cyclotomic function field. Hence the study of cyclotomic function fields in analogy with cyclotomic fields is an important subject in number theory. Much are known in this direction such as ring of integers, class groups and units ([G], [G-R]). In this article we are concerned with the ring of integers in a cyclotomic function field. In [G], it is shown that the ring of integers is generated by a primitive root of the Carlitz module using the ramification theory and localization. Here we will give another proof, which is rather elementary and explicit, of this fact following the methods in [W].[W].

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On the Preliminary Design of Marine Propellers by Lifting Line Theory (양력선(揚力線) 이론(理論)에 의한 추진기(推進器) 초기설계(初期設計)에 대하여)

  • Jin-Tae,Lee;Zae-Geun,Kim;Chang-Sup,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.17 no.3
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    • pp.5-17
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    • 1980
  • A basic procedure to design marine propellers by a curved lifting line theory was shown. By adapting discrete singularity method, it became possible to take into account of skew, rake and the contraction of slip stream in the early stage of preliminary design procedure. It is also shown that lifting line theory based on the discrete singularity method converges to a common solution obtained by induction factor method with a relatively small number of discrete elements. Lifting the blade geometry more accurately on the basis of hydrodynamic principles. A number of numerical results from lifting line calculation are presented for the purpose of comparison with the previous method, and with these results two sample designs are carried out, which are wake-adapted optimum and wake-adapted non-optimum propellers.

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Micro and macro in the dynamics of dilute polymer solutions: Convergence of theory with experiment

  • Prakash, J. Ravi
    • Korea-Australia Rheology Journal
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    • v.21 no.4
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    • pp.245-268
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    • 2009
  • Recent developments in dilute polymer solution rheology are reviewed, and placed within the context of the general goals of predicting the complex flow of complex fluids. In particular, the interplay between the use of polymer kinetic theory and continuum mechanics to advance the microscopic and the macroscopic description, respectively, of dilute polymer solution rheology is delineated. The insight that can be gained into the origins of the high Weissenberg number problem through an analysis of the configurational changes undergone by a single molecule at various locations in the flow domain is discussed in the context of flow around a cylinder confined between flat plates. The significant role played by hydrodynamic interactions as the source of much of the richness of the observed rheological behaviour of dilute polymer solutions is highlighted, and the methods by which this phenomenon can be incorporated into a macroscopic description through the use of closure approximations and multi scale simulations is discussed.

Stability Analysis of Marangoni Convection for $NH_3\;-H_2O$ Absorption Process (전파이론을 통한 $NH_3\;-H_2O$ 흡수과정의 마란고니 대류 안정성 해석)

  • 최창균;김제익;강용태
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.6
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    • pp.450-455
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    • 2002
  • Convective instability driven by surface tension is analyzed in an initially quiescent water absorbing ammonia gas using the linear stability theory. The propagation theory is adapated to find the critical conditions of the onset of solutal Maragoni convection. In this theory, the solutal penetration depth is chosen as the length scale factor. The results show that the liquid layer becomes more stable with decreasing the Schmidt number It is interesting that for a smaller Biot number than 100, the system becomes stable with decreasing Bi but for a larger Bi, it becomes unstable with decreasing Bi.

Dynamic Response Characteristics of a Floating Ocean City in Waves (부유식 해양도시의 동적응답특성)

  • 구자삼;홍석원
    • Journal of Ocean Engineering and Technology
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    • v.8 no.2
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    • pp.80-92
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    • 1994
  • The dynamic response characteristics of a floating ocean city are examined for presenting the basic data for the design of huge offshore structures supported by a large number of floating bodies in waves. The numerical approach which is accurate in linear system is based on combination of a three dimensional source distribution method, wave interaction theory and the finite element method of using the space frame element. The hydrodynamic interactions among the floating bodies are taken into account in their exact form within the context of linear potential theory in the motion and structural analysis. The method is applicable to an arbitrary number of three dimensional bodies having any individual body geometries and geometrical arrangement with the restriction that the circumscribed, bottom-mounted. Imaginary vertical cylinder for each body does not contain any part of the other body. The validity of this procedure was verified by comparing with experimental results obtained in the literature.

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Development of Design Theory on the Tooth Arrangement of the Combine Threshing Drum (콤바인 탈곡치(脫穀齒) 배열(配列)의 설계(設計) 이론(理論))

  • Chung, C.J.;Choi, J.S.;Lee, W.S.;Chung, S.I.
    • Journal of Biosystems Engineering
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    • v.17 no.2
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    • pp.171-176
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    • 1992
  • This study was intended to develop the design theory of the threshing unit of a head-feeding rice combine. It may be applied for various combining capacities with different cutting widths and forward speeds. Design factors in the theoretical development are : (1) dimensions of the threshing drum, (2) tooth approching angle, (3) distance between the adjacent teeth on their spiral setting line, (4) number of spirals, and (5) total number of teeth on the drum. A computer simulation program was developed to predict the proper dimensions for the threshing drum and tooth arrangement. A simulation for the prospective combine with varied capacities was also demonstrated. The parameters analyzed in the developed design theory were shown to be consistent with those of existing combines.

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