• 제목/요약/키워드: real number

검색결과 4,514건 처리시간 0.034초

퍼지실물옵션을 이용한 RFID 투자가치평가 (The Valuation of RFID Using Fuzzy Real Option)

  • 이영찬;이승석
    • 지식경영연구
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    • 제9권4호
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    • pp.113-125
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    • 2008
  • Net present value (NPV) and return on investment (ROI) are commonly used to evaluate investment in new technologies. Sometimes, however, measuring the value of investment in new IT becomes very difficult due to its wide scope of application coupled with embedded options in its adoption. Therefore, comprehensive but easily understandable methodologies are needed to solve the complicated problems resulting from the complexity of new technologies. This paper employs a real option analysis to evaluate RFID adoption in the supply chain. Real options analysis should be a better way to evaluate a disruptive technology like RFID. However, the pure (probabilistic) real option rule characterizes the present value of expected cash flows and the expected costs by a single number, which is not realistic in many cases. To solve the problem, this paper considers the real option rule in a more realistic setting, namely, when the present values of expected cash flows and expected costs are estimated by trapezoidal fuzzy numbers.

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SIGNED A-POLYNOMIALS OF GRAPHS AND POINCARÉ POLYNOMIALS OF REAL TORIC MANIFOLDS

  • Seo, Seunghyun;Shin, Heesung
    • 대한수학회보
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    • 제52권2호
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    • pp.467-481
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    • 2015
  • Choi and Park introduced an invariant of a finite simple graph, called signed a-number, arising from computing certain topological invariants of some specific kinds of real toric manifolds. They also found the signed a-numbers of path graphs, cycle graphs, complete graphs, and star graphs. We introduce a signed a-polynomial which is a generalization of the signed a-number and gives a-, b-, and c-numbers. The signed a-polynomial of a graph G is related to the $Poincar\acute{e}$ polynomial $P_{M(G)}(z)$, which is the generating function for the Betti numbers of the real toric manifold M(G). We give the generating functions for the signed a-polynomials of not only path graphs, cycle graphs, complete graphs, and star graphs, but also complete bipartite graphs and complete multipartite graphs. As a consequence, we find the Euler characteristic number and the Betti numbers of the real toric manifold M(G) for complete multipartite graphs G.

실수 연산의 성질에 대한 고등학생의 인지 경향 (Cognitive Tendency of the Properties of Operations in 10th grade)

  • 박임숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제40권2호
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    • pp.335-343
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    • 2001
  • Algebra is important part of mathematics education. Recent days, many mathematics educators emphasize on real world situation. Form real situation, pupils make sense of concepts, and mathematize it by reflective thinking. After that they formalize the concepts in abstract. For example, operation in numbers develops these course. Operation in natural number is an arithmetic, but operation on real number is algebra. Transition from arithmetic to algebra has the cutting point in representing the concepts to mathematics sign system. In this note, we see the cognitive tendency of 10th grade about operation of real number, their cutting point of transition from arithmetic to algebra, and show some methods of helping pupils.

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에우독소스의 비례론과 데데킨트의 실수계에 관한 고찰 (A study on the relation between the real number system of Dedekind and the Eudoxus theory of proportion)

  • 강대원;김권욱
    • 한국수학사학회지
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    • 제22권3호
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    • pp.131-152
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    • 2009
  • 에우독소스의 비례론이 데데킨트가 실수를 현대적으로 정의한 '데데킨트 절단'과 일치한다고 해도 과언이 아니다. 데데킨트는 2000년보다 더 앞선 에우독소스의 방법을 근거로 조사함으로써 실수체계에 대한 확고한 기초를 확립하였다고 볼 수 있다. 그래서 데데킨트의 정의에서 그리스 유산을 구별하는 것은 가치가 있을 것으로 판단된다. 그런데 에우독소스의 비례론과 데데킨트 절단 사이에는 '근본적인 차이'가 존재한다. 그리스인들은 수(number)와 공간적 크기(magnitude)사이의 구별에 생각이 미치지 못한 것으로 보인다. 본 논문에서는 비와 비례 개념에 대한 에우독소스의 설명과 '데데킨트 절단'을 통한 실수의 구조와의 관계를 살펴봄으로서 에우독소스의 비례론이 데데킨트의 실수의 완비성을 증명하기 위해 도입된 절단의 개념과 어떤 관계가 있으며 어떤 영향을 끼쳤는지를 고찰하고자 한다.

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Block Filtering과 QFT를 이용한 실시간 음장 효과구현 (Real-Tim Sound Field Effect Implementation Using Block Filtering and QFT)

  • 손성용;서정일;한민수
    • 대한음성학회지:말소리
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    • 제51호
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    • pp.85-98
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    • 2004
  • It is almost impossible to generate the sound field effect in real time with the time-domain linear convolution because of its large multiplication operation requirement. To solve this, three methods are introduced to reduce the number of multiplication operations in this paper. Firstly, the time-domain linear convolution is replaced with the frequency-domain circular convolution. In other words, the linear convolution result can be derived from that of the circular convolution. This technique reduces the number of multiplication operations remarkably, Secondly, a subframe concept is introduced, i.e., one original frame is divided into several subframes. Then the FFT is executed for each subframe and, as a result, the number of multiplication operations can be reduced. Finally, the QFT is used in stead of the FFT. By combining all the above three methods into our final the SFE generation algorithm, the number of computations are reduced sufficiently and the real-time SFE generation becomes possible with a general PC.

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IMAGINARY BICYCLIC FUNCTION FIELDS WITH THE REAL CYCLIC SUBFIELD OF CLASS NUMBER ONE

  • Jung, Hwan-Yup
    • 대한수학회보
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    • 제45권2호
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    • pp.375-384
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    • 2008
  • Let $k={\mathbb{F}}_q(T)$ and ${\mathbb{A}}={\mathbb{F}}_q[T]$. Fix a prime divisor ${\ell}$ q-1. In this paper, we consider a ${\ell}$-cyclic real function field $k(\sqrt[{\ell}]P)$ as a subfield of the imaginary bicyclic function field K = $k(\sqrt[{\ell}]P,\;(\sqrt[{\ell}]{-Q})$, which is a composite field of $k(\sqrt[{\ell}]P)$ wit a ${\ell}$-cyclic totally imaginary function field $k(\sqrt[{\ell}]{-Q})$ of class number one. und give various conditions for the class number of $k(\sqrt[{\ell}]{P})$ to be one by using invariants of the relatively cyclic unramified extensions $K/F_i$ over ${\ell}$-cyclic totally imaginary function field $F_i=k(\sqrt[{\ell}]{-P^iQ})$ for $1{\leq}i{\leq}{\ell}-1$.

실수코딩 유전자알고리즘을 이용한 고정번지식 ATC 프레임의 토폴로지 최적화에 관한 연구 (A Study on the Topology Optimization of the fixed Address Type ATC frame Using a Real Number Coding Genetic Algorithm)

  • 허영진;임상헌;이춘만
    • 한국정밀공학회지
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    • 제21권9호
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    • pp.174-181
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    • 2004
  • Recently, many studies have been undergoing to reduce working time in field of machine tool. There are two ways of reducing working time to reduce actual working time by heighten spindle speed and to reduce stand-by time by shortening tool exchange time. Auto tool changer belongs to latter case. Fixed address type auto tool changer can store more number of tools in small space than magazine transfer Ope and can shorten tool exchange time. This study focuses on the topology optimization to reduce the weight of the fixed address type ATC. The optimization program using a real number coding genetic algorithm is developed and is applied to the 10-bar truss optimization problem to verify the developed program. And, it is shown that the developed program gives better results than other methods. Finally, The developed program applied to optimize the fixed address type ATC.

A Research of Real-time Rendering Potentials on 3D Animation Production

  • Ke Ma;Jeanhun Chung
    • International journal of advanced smart convergence
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    • 제12권4호
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    • pp.293-299
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    • 2023
  • In recent years, with the rapid development of real-time rendering technology, the quality of the images produced by real-time rendering has been improving, and its application scope has been expanded from games to animation and advertising and other fields. This paper analyses the development status of real-time rendering technology in 3D animation by investigating the 3D animation market in China, which concludes that the number of 3D animations in China has been increasing over the past 20 years, and the number of 3D animations using real-time rendering has been increasing year by year and exceeds that of 3D animations using offline rendering. In this study, a real-time rendering and offline rendering 3D animation are selected respectively to observe the screen effect of characters, special effects and environment props, and analyse the advantages and disadvantages of the two rendering technologies, and finally conclude that there is not much difference between real-time rendering 3D animation and offline rendering 3D animation in terms of quality and the overall sense of view, and due to the real-time rendering of the characteristics of the WYSIWYG, the animation designers can better focus on the creation of art performance. Real-time rendering technology has a good development prospect and potential in 3D animation, which paves the way for designers to create 3D content more efficiently.

ON CONTINUED FRACTIONS, FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS

  • Kang, Pyung-Lyun
    • 충청수학회지
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    • 제27권2호
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    • pp.183-203
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    • 2014
  • We examine fundamental units of quadratic function fields from continued fraction of $\sqrt{D}$. As a consequence, we give another proof of geometric analog of Ankeny-Artin-Chowla-Mordell conjecture and bounds for class number, and study real quadratic function fields of minimal type with quasi-period 4.

NEW BOUNDS FOR FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS

  • Isikay, Sevcan;Pekin, Ayten
    • 대한수학회보
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    • 제58권5호
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    • pp.1149-1161
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    • 2021
  • In this paper, we present new bounds on the fundamental units of real quadratic fields ${\mathbb{Q}}({\sqrt{d}})$ using the continued fraction expansion of the integral basis element of the field. Furthermore, we apply these bounds to Dirichlet's class number formula. Consequently, we provide computational advantages to estimate the class numbers of such fields. We also give some numerical examples.