• Title/Summary/Keyword: universal functions

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ON UNIVERSAL FUNCTIONS

  • Aron, Richard;Markose, Dinesh
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.65-76
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    • 2004
  • An entire function $f\;{\in}\;H(\mathbb{C})$ is called universal with respect to translations if for any $g\;{\in}\;H(\mathbb{C}),\;R\;>\;0,\;and\;{\epsilon}\;>\;0$, there is $n\;{\in}\;{\mathbb{N}}$ such that $$\mid$f(z\;+\;n)\;-\;g(z)$\mid$\;<\;{\epsilon}$ whenever $$\mid$z$\mid$\;{\leq}\;R$. Similarly, it is universal with respect to differentiation if for any g, R, and $\epsilon$, there is n such that $$\mid$f^{(n)}(z)\;-\;g(z)$\mid$\;<\;{\epsilon}\;for\;$\mid$z$\mid$\;{\leq}\;R$. In this note, we review G. MacLane's proof of the existence of universal functions with respect to differentiation, and we give a simplified proof of G. D. Birkhoff's theorem showing the existence of universal functions with respect to translation. We also discuss Godefroy and Shapiro's extension of these results to convolution operators as well as some new, related results and problems.

UNIFORMLY LOCALLY UNIVALENT FUNCTIONS

  • Song, Tai-Sung
    • The Pure and Applied Mathematics
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    • v.6 no.2
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    • pp.87-93
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    • 1999
  • A holomorphic function f on D = {z : │z│ < 1} is called uniformly locally univalent if there exists a positive constant $\rho$ such that f is univalent in every hyperbolic disk of hyperbolic radius $\rho$. We establish a characterization of uniformly locally univalent functions and investigate uniform local univalence of holomorphic universal covering projections.

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A Study on Application of Universal Design Principles to Interior Common Spaces in Public Libraries (공공도서관 실내 공용공간의 유니버설 디자인 적용성에 관한 연구)

  • Lee, Hyo-Chang;Ha, Mi-Kyoung
    • Korean Institute of Interior Design Journal
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    • v.16 no.5
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    • pp.55-62
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    • 2007
  • Modern public library is expanding its role as generalized cultural facility. Therefore public library that has comfortable and physical environment for various age and various users are needed. The purpose of this research is to evaluate the application of universal design in common space of public library, and trying to suggest environmental improvement plan that various users could comfortably use the library based on its data. The scope of this research were adjusted as 8 public libraries located in Seoul and metropolitan area of Seoul. Spacial scope that was set of this research was common space of public library and scope of content was about application of universal design. As a result of the research, first, the application of universal design toward common space of public library were appeared as low. Second, constant management and application development of universal design is needed. Third, as roles and functions of public library become various from now on, application of delicate universal design is needed for intention of users.

A Study on the Color of Medical Robot Bed from the Universal Design Perspective -A Case Study on the Universal Color Design of Ninebell Corporation's Medical Robot Bed- (유니버셜 디자인 관점에서 본 의료 로봇 침대 색채에 관한 연구 -(주)나인벨의 의료용 로봇 침대의 유니버셜 디자인 색채 사례를 중심으로-)

  • Cho, Hyun Kyung
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.4
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    • pp.203-208
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    • 2019
  • Medical color graphic research will serve as the basis for globally expanding and disseminating the design quality of the company's products through the era of production of medical robots. This study was based on technologies and contents suitable for the era of medical robot bed expansion, universal medical color application, ergonomic color, etc. In addition, the medical bed robot's color research direction was presented from the perspective of universal design. Accordingly, a universal color design was proposed, taking the functions of a medical robot under development by a domestic company as an example. The characteristics of this robot bed can be divided into three types of functions: first, treatment characteristics for prevention of pressure ulcers with curative, second, automatic seat exchange with cleanliness for medical environment, and third, Convenient, which can implement patient transport. The main idea is to present a combination of functional colors appropriate for this. The resulting color analysis and universal color design techniques could be a useful methodology for illustrating the appearance and function of a modern medical robot bed.

Privacy Amplification of Quantum Key Distribution Systems Using Dual Universal Hush Function (듀얼 유니버셜 해쉬 함수를 이용한 양자 키 분배 시스템의 보안성 증폭)

  • Lee, Sun Yui;Kim, Jin Young
    • Journal of Satellite, Information and Communications
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    • v.12 no.1
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    • pp.38-42
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    • 2017
  • This paper introduces the concept of a dual hash function to amplify security in a quantum key distribution system. We show the use of the relationship between quantum error correction and security to provide security amplification. Also, in terms of security amplification, the approach shows that phase error correction offers better security. We describe the process of enhancing security using the universal hash function using the BB84 protocol, which is a typical example of QKD. Finally, the deterministic universal hash function induces the security to be evaluated in the quantum Pauli channel without depending on the length of the message.

A Study on Minimization for Digital Circuits Using the Universal Logic Modules (ULM을 이용한 디지탈회로의 간소화에 관한 연구)

  • 박규태;김진복
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.13 no.4
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    • pp.12-17
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    • 1976
  • This paper deals with characteristics and analysis of the Universal Logic Modules as well as TULM, QULM and SULM. Studies are made on minimization in Storms of symmetric circuits and theoretical stuides are made by using the symmetric functions The symmetric circuits of the ULM are realized by employing 54/74 ICs, An oscillator circuit of 10KHz. is constructed based on the ULM. The experimental results gave a good agreement with the theoretical Minimization.

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Universal Personal Telecommunications using Specialized Resource Functions in the Intelligent Peripheral (Intelligent Peripheral의 특수 음성 자원을 이용한 Universal Personal Telecommunications 서비스)

  • Kim, Gi-Ryeong;Kim, Tae-Il;Choe, Go-Bong
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1506-1514
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    • 1996
  • This paper proposes enhanced features for the Universal Telecommunications (UPT), voice authentication and voice synthesis, using the specialized resources functions in the Intelligent peripheral(IP). The proposed voice authentication is able ti provide simple and user-friendly security mechanism and to prevent unauthorized users from fraudulently using the UPT number. Also, traditional UPT service deliveries only fixed message to the UPT user, but the proposed UPT service can support flexible message transfer by use of the voice synthesis.

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Studies on Visual Function Measurements for Building Visual Function Database of the Elderly (고령자의 시각기능데이터베이스 구축을 위한 시각기능계측에 관한 연구)

  • Kim, Dong-Wook;Park, Kwang-Suk;Kim, Jung-Ja;Kim, Nam-Gyun
    • Journal of Biomedical Engineering Research
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    • v.28 no.5
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    • pp.618-627
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    • 2007
  • As our society progresses rapidly toward an aged society, there is a stiff increase in the population of the aged persons who have difficulties in adjusting themselves to environments due to declines of their physical functions. Therefore, there is a great need for the concept of 'Universal Design' that demands the design of overall social structure to care for the elderly. Due to this reason, the physical function of the aged persons should thoroughly be studied for the development of rehabilitation and training equipments to help the recovery of physical functions of the elderly. Among the variety of physical functions of the elderly, visual functions, motion characteristics, hearing functions, and somatosensory functions have significant influence toward everyday lives and are physical functions to study for the construction of urgently needed physical function databases of the elderly. This study concentrates on visual functions among the variety of physical functions of the elderly. To measure various visual functions of the elderly, a measurement room for the elderly has been developed, which can mimic everyday lives and perform measurements of visual functions with subjects in seated position. The measurement items for the construction of the database were capabilities in everyday vision according to changes in arrangement of colors and light intensity and capabilities in everyday vision, color distinction, dark adaptation, and light glare against changes in contrast.

A Study on the Applicationa of the Universal Design Principles to the Common Space in Museums (박물관 공용공간의 유니버설 디자인 적용성 평가)

  • Yi, Yon Soo;Ha, Mi Kyoung
    • KIEAE Journal
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    • v.9 no.2
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    • pp.9-16
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    • 2009
  • Modern public museums are expanding its role as general cultural facilities. Therefore, the museums that are equipped with convenient and physical environmental features for all ages and types of users are needed. The purpose of this research is to evaluate the application of universal design in common space of the museums and to recommend a set of environmental improvement plans based on which various types of users can decide their choice of museums based on available data on the museums. The scope of this research was limited to seven major public museums located in Seoul, Korea. The spatial scope that was set for this research was common space of the public museums and the scope of the content was about the applicability of universal design. As a result of the research, three major conclusions were reached. First, the application of universal design toward common space in the public museums currently was not prevalent. Second, constant management and application development of universal design are needed. Third, as museums' primary roles and functions become more diverse, a direct application of delicate universal design is a necessary prerequisite to accommodate and fulfill users' needs.