• Title/Summary/Keyword: modular transformation

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RAY CLASS INVARIANTS IN TERMS OF EXTENDED FORM CLASS GROUPS

  • Yoon, Dong Sung
    • East Asian mathematical journal
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    • v.37 no.1
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    • pp.87-95
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    • 2021
  • Let K be an imaginary quadratic field with ��K its ring of integers. For a positive integer N, let K(N) be the ray class field of K modulo N��K, and let ��N be the field of meromorphic modular functions of level N whose Fourier coefficients lie in the Nth cyclotomic field. For each h ∈ ��N, we construct a ray class invariant as its special value in terms of the extended form class group, and show that the invariant satisfies the natural transformation formula via the Artin map in the sense of Siegel and Stark. Finally, we establish an isomorphism between the extended form class group and Gal(K(N)/K) without any restriction on K.

A Study on Graphic Program for 3D Image Display System (실시간3차원 그래픽 프로그램 개발에 관한 연구)

  • 배성찬;권승탁;양연식
    • Proceedings of the IEEK Conference
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    • 2001.06d
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    • pp.227-230
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    • 2001
  • In this paper, We present a 3D image data for ocular refina. This 3D display techniques are used voxel(cuboid) projection. Voxel is 3D reconstruction method of the pixel. In this paper, 3D image display system is constructed under PC environment and programed based on modular programming by using Visual C++. The hole procedures are composed of data preparation, 3D Display over transformation and scaling.

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Design of the Multiplier in case of P=2 over the Finite Fields based on the Polynomial (다항식에 기초한 유한체상의 P=2인 경우의 곱셈기 설계)

  • Park, Chun-Myoung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.2
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    • pp.70-75
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    • 2016
  • This paper proposes the constructing method of effective multiplier based on the finite fields in case of P=2. The proposed multiplier is constructed by polynomial arithmetic part, mod F(${\alpha}$) part and modular arithmetic part. Also, each arithmetic parts can extend according to m because of it have modular structure, and it is adopted VLSI because of use AND gate and XOR gate only. The proposed multiplier is more compact, regularity, normalization and extensibility compare with earlier multiplier. Also, it is able to apply several fields in recent hot issue IoT configuration.

A NOTE ON THE θ3(0, τ)

  • Kim, Daeyeoul;Jeon, Hyeong-Gon
    • Korean Journal of Mathematics
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    • v.6 no.1
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    • pp.67-70
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    • 1998
  • Let ${\eta}(\tau)=q^{1/24}\prod_{n=1}^{\infty}(1-q^n)$, where $q=e^{2{\pi}i{\tau}}$ and ${\tau}{\in}\mathbb{C}$. Then the transformation $$g(\tau)={\rho}\frac{\{\eta(\frac{\tau+1}{2})\eta(\frac{\tau+2}{2})\}^{16}}{\eta(\tau)^{24}}({\bar{{\rho}}{\eta}}(\frac{\tau+1}{2})^8+{\eta}(\frac{\tau+2}{2})^8)^2$$ is holomorphic for Im ${\tau}$ > 0, and has the property $$g(\tau+1)=g(\tau),\;g(-\frac{1}{\tau})={\tau}^{12}g(\tau)$$. (Theorem)

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A Data Hiding Scheme for Grayscale Images Using a Square Function

  • Kwon, Hyejin;Kim, Haemun;Kim, Soonja
    • Journal of Korea Multimedia Society
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    • v.17 no.4
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    • pp.466-477
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    • 2014
  • Many image hiding schemes based on least significant bit (LSB) transformation have been proposed. One of the LSB-based image hiding schemes that employs diamond encoding was proposed in 2008. In this scheme, the binary secret data is converted into base n representation, and the converted secret data is concealed in the cover image. Here, we show that this scheme has two vulnerabilities: noticeable spots in the stego-image, i.e., a non-smooth embedding result, and inefficiency caused by rough re-adjustment of falling-off-boundary value and impractical base translation. Moreover, we propose a new scheme that is efficient and produces a smooth and high quality embedding result by restricting n to power of 2 and using a sophisticated re-adjustment procedure. Our experimental results show that our scheme yields high quality stego-images and is secure against RS detection attack.

A Study on the Effect of the Mega trend on the Modern Fashion Design (현대 패션디자인에 나타난 메가 트렌드의 영향에 관한 연구)

  • Jun, Hye-Jung;Ha, Ji-Soo
    • Journal of the Korean Society of Costume
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    • v.57 no.4 s.113
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    • pp.110-125
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    • 2007
  • The purpose of this study is to analyze efforts of the mesa trends on the modern fashion design. For the study documentary research and qualitative content analysis have been carried out. Articles in magazines, seminar reports, and news related to trends were collected and analyzed to develop mega trends nowadays. As results, $2002{\sim}2006$ mega trends were extracted to Co-divergence, Emotional tech, Bi-dentity, Private+One and $2002{\sim}2006$ design trends extracted to Camouflage, Transformation, Modular system, Blur, Ease. The influences of mega trends and design trends on the modern fashion design have been proved. Those were expressed as eclectic style, deconstructionist style, reductive style and functionalist style in fashion design. The present era could be defined as cultural pluralism blended with various cultures and styles. Fashion as the essential display of contemporary culture and society has been successfully confirmed in this study.

Industrial Transformation in digital economy: A Case Study on PC and Comsumer Industries (디지털경제와 산업 전환: PC와 가전 산업의 사례 연구)

  • 배영자
    • Proceedings of the Technology Innovation Conference
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    • 2002.02a
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    • pp.133-149
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    • 2002
  • This study aims to investigate the impact of wide use of digital technology, in particular, the Internet, on innovation process and corporate strategy in electronics industry. The introduction of digital technology has changed innovation process, business model and organizational structure of the electronics companies. With the introduction of digital technology, the entire value chain of electronics industry from procurement, sales, and marketing to R&D and manufacturing has been restructured. E-commerce has been a major agenda for e-business. Recently, collaboration among electronics companies through e-marketplace has emerged as an important issue. A web-based e-commerce standard, so called RosettaNet, has been developed for facilitating e-transactions of electronics firms. The development of digital technology has dramatically increased the processing speed and sophisticated the virtual reality technology. As simulation becomes easier and more effective, the uncertainty and risk involved in R&D has decreased significantly. Another positive impact is closer cooperation between R&D and manufacturing functions. Taking advantage of automated and flexible production technology, has a new type of firm, so called, EMS (Electronics Manufacturing Services) emerged, whose strategic focus is on manufacturing only. The EMS can be seen as a kind of innovative organization, that is, a modular organization for production function. Digital technology has made convergence of computer and communication possible at early years but right now the convergence has been accelerated in extensive areas of communication, broadcasting, information appliances, software, contents, and services. Firms' effort for an innovative product and service has been intensified and the competition for a new standard product and service has become severe in electronics industry. Business activities are always realized in a specific organizational context. Accordingly building up innovation-friendly organization has emerged as a critical concern. Due to the striking decrease of transaction cost, a network type of organization has proliferated, and a business function turns into a modular organization. As a whole, digital technology has pushed electronics firms into developing their own business model, which takes consideration of standardization of business platform and their core competency.

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Implementation and Static Verification Methodology of Discrete Event Simulation Software based on the DEVS Diagram: A Practical Approach (DEVS 다이어그램 기반 이산사건 시뮬레이션 소프트웨어 구현 및 정적 검증기법: 실용적 접근방법)

  • Song, Hae Sang
    • Journal of the Korea Society for Simulation
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    • v.27 no.3
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    • pp.23-36
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    • 2018
  • Discrete Event System Specification (DEVS) has been used for decades as it provides sound semantics for hierarchical modular specification of discrete event systems. Instead of the mathematical specification, the DEVS diagram, based on the structured DEVS formalism, has provided more intuitive and convenient representation of complex DEVS models. This paper proposes a clean room process for implementation and verification of a DEVS diagram model specification into a simulation software source code. Specifically, it underlies a sequence of transformation steps from conformance and integrity checking of a given diagram model, translation into a corresponding tabular model, and finally conversion to a simulation source code, with each step being inversely verifiable for traceability. A simple example helps developers to understand the proposed process with associated transformation methods; a case study shows that the proposed process is effective for and adaptable to practical simulation software development.