• Title/Summary/Keyword: Character formula

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DISTRIBUTION OF THE VALUES OF THE DERIVATIVE OF THE DIRICHLET L-FUNCTIONS AT ITS a-POINTS

  • Jakhlouti, Mohamed Taib;Mazhouda, Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1141-1158
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    • 2017
  • In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

Kinematic Motion Analysis for Automatic Hemming Unit Design of Car Panel (자동차 패널 헤밍유닛의 설계자동화를 위한 기구학적 해석)

  • Kim, D.J.;Chung, H.;Song, Y.J.;Hahn, Y.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.438-445
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    • 2006
  • Due to the complicated character of the hemming process for automobile panels, it is very difficult to set up a consistent and reliable die design guide rule that does not require subtle decision of experienced experts during design stage and multiple trials during hemming die making. In this paper an automatic die design system of hemming units is pursued by presenting some algorithms, in which geometric data and constraints of the hemming units were converted to formula. two kinds of hemming units, 2-link type and 4-link type, were selected as examples and the geometries and kinematics of all parts were analyzed to build the design algorithm.

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Development of Automatic Drawing Program for Hemming Unit by AutoCAD (AutoCAD를 이용한 자동차용 헤밍 유닛의 자동작도 프로그램 개발)

  • Kim, D.S.;Song, Y.J.;Chung, H.;Kim, Y.B.;Hahn, Y.H.
    • Transactions of Materials Processing
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    • v.16 no.3 s.93
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    • pp.163-171
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    • 2007
  • Due to the complicated character of the hemming process for automobile panels, it is very difficult to setup a consistent and reliable die design guide rule that require subtle decision of experienced experts and multiple trials during hemming die design and making. In this paper an automatic die design system of hemming units is pursued by presenting some algorithms, in which geometric data and constraints of the hemming units were converted to formula. The geometries and kinematics of all part for two kinds of hemming units, 2-link type and 4-link type were analysed kinematically to build the design algorithm. The algorithms were verified by automatic drawing used AutoCAD VBA program in example for the hemming unit design of a bonnet.

Discovery of the rarely known genus Psammophilocyclops (Cyclopidae Cyclopinae) from a water purification plant in South Korea

  • Lee, Ji-Min;Chang, Cheon-Young
    • Animal cells and systems
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    • v.16 no.3
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    • pp.245-253
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    • 2012
  • A genuine interstitial cyclopoid species belonging to the genus Psammophilocyclops Fryer, 1956 is recorded from the filtration basin of a water treatment plant, South Korea. The genus Psammophilocyclops is very rarely found, and only three species have been recognized as yet: P. boccaroi Fryer, 1956 from Africa, P. trispinosus Shen et Tai, 1964 and P. bispinosus Shen et Tai, 1964 from China. The present new species differs from the congeneric species by the character combination of 11-segmented antennule in female, four-segmented maxilliped with 2,1,1,2 setation, the spine formula of 3,3,3,3, and setal arrangement of 3,3,5,3 on the distal endopodal segments of legs 1-4. Descriptio and taxonomic accounts of the new species are presented with a revised generic diagnosis and a key to the species hitherto known in the genus.

Study on Convention Transformation Appeared in Bong Joon-ho's Movie -Mainly with the movie "mother"- (봉준호 영화에 나타난 컨벤션 변형 연구 -영화 "마더"를 중심으로-)

  • Kim, Seong-Hoon
    • The Journal of the Korea Contents Association
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    • v.15 no.12
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    • pp.141-152
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    • 2015
  • If we look into genre movie, we can see that almost similar forms are repeated in a movie. Such similar elements are largely divided into three units from a mass of story to a very small camera angle. Those can be explained as Formula, Convention, and Iconography. Among those three, convention means custom and it is a structure or an incident in which one story can be divided into second one. Convention is an incident visualized in individual genre, and a movie director tunes audiences through the incident. The director leads a familiar story but all of a sudden, he transforms the familiar scene to a new story. As a product established from the beginning of movie history, movie convention helps communication between audiences and a director. Audiences familiarize themselves with movie convention through repeated activities of watching movies, and the director utilizes it to provide audiences with familiarity. Director Bong Joon-ho not only tunes audiences through traditional convention but also creates a new art work through transformation of convention. A study is conducted on how he used traditional convention and transformation to get a new idea and to engage in his work through his work .

Decipherment of the Wooden Tablet Prescription Excavated at Anapji (안압지 출토 목간(木簡) 처방전의 석독(釋讀)에 대한 연구)

  • Lee, Deok-Ho;Lee, Sun-A;Kim, Nam-Il
    • Korean Journal of Oriental Medicine
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    • v.15 no.2
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    • pp.85-91
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    • 2009
  • The manufacture date of the number 198 wooden tablet excavated at Anapji is estimated to be between year 751 and 774. As medical artifacts around this period of time is scarce, the discovery of an artifact with distinct medical information such as names of medicinal drugs recorded in hand writing holds great value in the history of medicine. This wooden tablet was presumably a prescription for a medicinal formula. That the '灸' character which is a method of processing drugs is found after '甘草' indicates the possibility of this wooden tablet to be a practical form of prescription. On this slip, a certain sign can be found at the upper right corner of the names of drugs. This is thought to be an additional sign added to the original text. It seems to have been originated from the letter '了', based on the composition and finishing touches of the strokes, presumably to confirm the end of a work by adding the letter '了' which means 'to finish'. The base material of 靑黛 and 藍淀 are the same, and the two often took each other's place in a prescription. It is difficult to find an example of a formula where both drugs are included. Therefore, the prescription on the front with 靑黛, and the one on the back with 藍淀 of tablet 198 can be understood as separate formulas.

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Development of a Blocks Recognition Application for Children's Education using a Smartphone Camera (스마트폰 카메라 기반 아동 교육용 산수 블록 인식 애플리케이션 개발)

  • Park, Sang-A;Oh, Ji-Won;Hong, In-Sik;Nam, Yunyoung
    • Journal of Internet Computing and Services
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    • v.20 no.4
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    • pp.29-38
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    • 2019
  • Currently, information society is rapidly changing and demands innovation and creativity in various fields. Therefore, the importance of mathematics, which can be the basis of creativity and logic, is emphasized. The purpose of this paper is to develop a math education application that can further expand the logical thinking of mathematics and allow voluntary learning to occur through the use of readily available teaching aid for children to form motivation and interest in learning. This paper provides math education applications using a smartphone and blocks for children. The main function of the application is to shoot with the camera and show the calculated values. When a child uses a block to make a formula and shoots a block using a camera, you can directly see the calculated value of your formula. The preprocessing process, text extraction, and character recognition of the photographed images have been implemented using OpenCV libraries and Tesseract-OCR libraries.

An Analysis of the Convergence Factors, Convergence Passes, and Convergence Types in Content Industries (콘텐츠의 융합요소 및 융합경로와 융합유형 분석)

  • Rim, Myung Hwan;Lee, Jung Mann
    • Journal of Information Technology Applications and Management
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    • v.20 no.3_spc
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    • pp.295-314
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    • 2013
  • These days a great mix of traditional and digital contents such as movie, broadcasting, advertisement, e-books, music, game, animation, cartoon, character, knowledge information, and art performance are widely available. Many more are yet to come, with improved quality and added features. It is expected that all these contents will be evolved into a new breed of convergence content through the process of consolidation, expansion, integration, and recreation. Across the digital ecosystem, a new formula is being added to the industrial structure : 'Information/Content-Platform/Device-Goods/Service.' In the near future, as a result of technological innovation and convergence, the business sector will lose its boundaries as well, as businesses will be forced to look beyond the product itself and focus more on multi-functionality. Especially, in the era of creative economy, more policies need to be crafted in order to procure a new growth engine for the future with the agenda for convergence between humanities and technology. Therefore, the purpose of this paper is to analyze the concept, factors, elements, types, and cases of convergence, which are the essence of content convergence. This analysis, with its focus on the convergence process, will help identify the effects and limits of content convergence as well as the prospects for convergence contents in the smart ecosystem under the creative economic system.

CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS

  • Choi, Junesang;Agarwal, Praveen;Mathur, Sudha;Purohit, Sunil Dutt
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.995-1003
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    • 2014
  • A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Also many integral formulas involving various Bessel functions have been presented. Very recently, Choi and Agarwal derived two generalized integral formulas associated with the Bessel function $J_{\nu}(z)$ of the first kind, which are expressed in terms of the generalized (Wright) hypergeometric functions. In the present sequel to Choi and Agarwal's work, here, in this paper, we establish two new integral formulas involving the generalized Bessel functions, which are also expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.

Occurrence of a Spear Squid, Heterololigo bleekeri (Keferstein, 1866) from Korea (화살꼴뚜기 Heterololigo bleekeri (Keferstein, 1866) 의 국내출현)

  • Kim, Yeonghye;Lee, Hae Won;Chun, Young-Yull;Kang, Hyunjung
    • The Korean Journal of Malacology
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    • v.28 no.3
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    • pp.255-258
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    • 2012
  • Forty four specimens (22.5-34.2 cm ML) of Heterololigo bleekeri were collected around Dokdo, East Sea on March 1, 2012. It was identified as H. bleekeri based on the following combination of morphological character: mantle very elongate; fin large, thick, length two-thirds of mantle length; arms very short and small in relation to body size, are formula III>II>IV>I.