• 한국컴퓨터그래픽스학회논문지
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• 제16권4호
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• pp.17-23
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• 2010

거리장, 볼륨 텍스처와 같은 3차원 실수 정의역을 갖는 데이터를 다룰 때, 이를 효과적으로 시각화하는 것은 중요한 주제이다. 본 논문에서는 간단한 인터페이스 구현체를 입력으로 받아 절단면 보기, 확대, 특정 위치의 값 조회 등의 작업을 효과적으로 수행하는 프레임워크를 제안한다. 인터페이스 구현체에는 다양한 알고리즘을 자유롭게 구현해 넣을 수 있으며, 여러 가지 종류의 데이터들을 조회하고 알고리즘수행 결과를 쉽게 평가할 수 있다.

• East Asian mathematical journal
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• 제37권5호
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• pp.613-617
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• 2021

Abstract. For a positive square-free integer m, let K = ℚ($\sqrt{m}$) be a real quadratic field. The relative class number H_d(f) of K of discriminant d is the ratio of class numbers 𝒪_K and 𝒪_f, where 𝒪_K is the ring of integers of K and 𝒪_f is the order of conductor f given by ℤ + f𝒪_K. In 1856, Dirichlet showed that for certain m there exists an infinite number of f such that the relative class number H_d(f) is one. But it remained open as to whether there exists such an f for each m. In this paper, we give a result for existence of real quadratic field ℚ($\sqrt{m}$) with relative class number one where the period of continued fraction expansion of $\sqrt{m}$ is 6.

• 디지털콘텐츠학회 논문지
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• 제12권4호
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• pp.585-592
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• 2011

경매 매물 정보시스템은 수요자의 상황과 특성에 맞춰 원하는 경매매물의 고급 정보만을 제공하는 것을 목표로 한다. 특히, 시시각각으로 변하는 조회수와 같은 실시간 정보와 경매가 예측을 위한 고도의 분석결과를 제공받기 위해서 상황인식에 기반한 모바일 정보시스템이 요구된다. 이에 따라 본 연구는 스마트폰 환경에서 수요자의 위치, 특정 매물 조회수, 현재 입찰자 수 등과 같은 경매정보를 제공해주는 상황인식 기반의 경매매물 정보시스템을 연구한다.

• 한국멀티미디어학회논문지
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• 제24권3호
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• pp.468-480
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• 2021

Realistic real-time rain streaks rendering has been treated as a very difficult problem because of various natural phenomena. Also, in creating and managing a large number of particles, a large amount of computer resources had to be used. Therefore, in this paper, we propose a more efficient real-time rain streaks rendering algorithm by generating view-dependent rain particles and expressing a large amount of rain even with a small number. By creating a 'rain space' dependent on the field of view of the camera moving in real time, particles are rendered only in that space. Accordingly, even if a small number of particles are rendered, since the rendering is performed in a limited space, an effect of rendering a very large amount of particles can be obtained. This enables very efficient real-time rendering of rain streaks.

• 한국수학사학회지
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• 제13권2호
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• pp.49-64
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• 2000

Every real number can be expressed as a simple continued fraction. In particular, a number is rational if and only if its simple continued fraction has a finite number of terms. Owing to this property, continued fractions have been a powerful tool which determines a real number to be rational or not. Continued fractions provide not only a series of best estimate for a real number, but also a useful method for finding near commensurabilities between events with different periods. In this paper, we investigate the history and some properties of continued fractions, and then consider their applications in several examples. Also we explain why the Fibonacci numbers and the Golden section appear in nature in terms of continued fractions, with some examples such as the arrangements of petals round a flower, leaves round branches and seeds on seed head.

• 전기학회논문지
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• 제56권2호
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• pp.428-431
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• 2007

A floating-point number system is used to represent a wide range of real numbers using finite number of bits. The standard the IEEE adopted in 1987 divides the range of real numbers into intervals of [$2^E,2^{E+1}$), where E is an Integer represented with finite bits, and defines equally spaced equal counts of discrete numbers in each interval. Since the numbers are defined discretely, not only the number representation itself includes errors but in floating-point arithmetic some strange behaviors are observed which cannot be agreed with the real world arithmetic. In this paper errors with floating-point number representation, those with arithmetic operations, and those due to order of arithmetic operations are analyzed theoretically with help of and verification with the results of some MATLAB program executions.

• 한국시뮬레이션학회:학술대회논문집
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• 한국시뮬레이션학회 1998년도 The Korea Society for Simulation 98 춘계학술대회 논문집
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• pp.101-105
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• 1998

A large system predictor, which can perform prediction of sales trend in a huge number of distribution centers, is presented using neural predictive model. There are 20,000 number of distribution centers, and each distribution center need to forecast future demand in order to establish a reasonable inventory policy. Therefore, the number of forecasting models corresponds to the number of distribution centers, which is not possible to estimate that kind of huge number of accurate models in ERP (Enterprise Resource Planning)module. Multilayer neural net as universal approximation is employed for fitting the prediction model. In order to improve prediction accuracy, a sequential simulation procedure is performed to get appropriate network structure and also to improve forecasting accuracy. The proposed simulation procedure includes neural structure identification and virtual predictive model generation. The predictive model generation consists of generating virtual signals and estimating predictive model. The virtual predictive model plays a key role in tuning the real model by absorbing the real model errors. The complement approach, based on real and virtual model, could forecast the future demands of various distribution centers.

• 호남수학학술지
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• 제45권3호
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• pp.542-554
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• 2023

Given a real number α, the Lagrange number of α is the supremum of all real numbers L > 0 for which the inequality |α - p/q| < (Lq²)^-1 holds for infinitely many rational numbers p/q. All Lagrange numbers less than 3 can be arranged as a set {l_p/q : p/q ∈ ℚ ∩ [0, 1]} using the Farey index. The present paper considers a function C(α) devised from Sturmian words. We demonstrate that the function C(α) contains all information on Lagrange numbers less than 3. More precisely, we prove that for any real number α ∈ (0, 1], the value C(α) - C(0) is equal to the sum of all numbers 3 - l_p/q where the Farey index p/q is less than α.

• East Asian mathematical journal
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• 제28권2호
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• pp.159-172
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• 2012

In all Mathematics I Textbooks(Kim, S. H., 2010; Kim, H. K., 2010; Yang, S. K., 2010; Woo, M. H., 2010; Woo, J. H., 2010; You, H. C., 2010; Youn, J. H., 2010; Lee, K. S., 2010; Lee, D. W., 2010; Lee, M. K., 2010; Lee, J. Y., 2010; Jung, S. K., 2010; Choi, Y. J., 2010; Huang, S. K., 2010; Huang, S. W., 2010) in high schools in Korea these days, it is written and taught that for a positive real number $a$, $a^{\frac{m}{n}}$ is defined as $a^{\frac{m}{n}}={^n}\sqrt{a^m}$, where $m{\in}\mathbb{Z}$ and $n{\in}\mathbb{N}$ have common prime factors. For that situation, the author shows his opinion that the definition is not well-defined and $a^{\frac{m}{n}}$ must be defined as $a^{\frac{m}{n}}=({^n}\sqrt{a})^m$, whenever $^n\sqrt{a}$ is defined, based on the field axiom of the real number system including rational number system and natural number system. And he shows that the following laws of exponents for reals: $$\{a^{r+s}=a^r{\cdot}a^s\\(a^r)^s=a^{rs}\\(ab)^r=a^rb^r$$ for $a$, $b$>0 and $s{\in}\mathbb{R}$ hold by the completeness axiom of the real number system and the laws of exponents for natural numbers, integers, rational numbers and real numbers are logically equivalent.

• 한국정보과학회논문지:시스템및이론
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• 제29권4호
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• pp.176-184
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• 2002

본 논문은 고신뢰 실시간 시스템에 체크포인팅을 적용할 수 있도록 실시간성과 신뢰성을 모두 고려하는 체크포인팅 프레임워크를 제공한다. 실시간 태스크의 시간 예측성은 할당된 체크포인트의 수와 태스크가 실행 중에 감내 해야하는 고장의 수를 기반으로 태스크의 최악 실행 시간(WCET: Worst Case Execution Time)을 산출함으로써 보장된다. 태스크가 실행 중에 극복해야하는 고장의 수는 태스크의 신뢰성 요구조건을 기반으로 산출됨으로써 태스크의 신뢰성이 보장되도록 한다. 이렇게 얻어진 태스크들의 WCET와 태스크가 극복해야 하는 고장의 수를 이용하여, 각 태스크의 스케줄 가능성을 보장하기 위해 요구되는 최소의 체크포인트 수를 유도하는 알고리즘을 제안한다. 본 논문에서 제안하는 프레임워크는 체크포인팅의 시간 중복량을 기반으로 하므로, 다른 시간 중복 기법에 대해서도 확장이 용이하다.