• Title/Summary/Keyword: Real number system

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Study on the Context Awareness-based Real Estate Auction Information System under the Smart Phone Environment (스마트폰 환경에서 상황인식기반 경매매물 정보시스템에 대한 연구)

  • Park, Hwa-Jin
    • Journal of Digital Contents Society
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    • v.12 no.4
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    • pp.585-592
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    • 2011
  • Real Estate Auction Information System purposes on providing high quality information of auction customized to consumer's situation and preference. Especially, ever-changing real time information such as the number of hits and advanced analysis for expecting the winning bid are requiring of mobile information system based on context awareness. Therefore, this paper studies on Real Estate Auction Information System based on context awareness under a smart phone environment providing auction information such as consumer's current position, the number of hits to a specific real estate, and the number of bidder to anticipate the winning bid.

Design of Network-based Real-time Connection Traceback System with Connection Redirection Technology

  • Choi, Yang-Sec;Kim, Hwan-Guk;Seo, Dong-Il;Lee, Sang-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2101-2105
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    • 2003
  • Recently the number of Internet users has very sharply increased, and the number of intrusions has also increased very much. Consequently, security products are being developed and adapted to prevent systems and networks from being hacked and intruded. Even if security products are adapted, however, hackers can still attack a system and get a special authorization because the security products cannot prevent a system and network from every instance of hacking and intrusion. Therefore, the researchers have focused on an active hacking prevention method, and they have tried to develop a traceback system that can find the real location of an attacker. At present, however, because of the characteristics of Internet - diversity, anonymity - the real-time traceback is very difficult. To over-come this problem the Network-based Real-Time Connection Traceback System (NRCTS) was proposed. But there is a security problem that the victim system can be hacked during the traceback. So, in this paper, we propose modified NRCTS with connection redirection technique. We call this traceback system as Connection Redirected Network-based Real-Time Connection Traceback System (CR-NRCTS).

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실수계의 공리를 이용한 지수 ar의 학습과 지도

  • Lee, Byung-Soo
    • East Asian mathematical journal
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    • v.28 no.2
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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.

CONDITION NUMBER FOR THE W- WEIGHTED DRAZIN INVERSE AND ITS APPLICATIONS IN THE SOLUTION OF RECTANGULAR LINEAR SYSTEM

  • CUI XIAOKE;DIAO HUAIAN
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.35-59
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    • 2006
  • In this paper, we generalized the results of [23, 26], and get the results of the condition number of the W-weighted Drazin-inverse solution of linear system W AW\chi=b, where A is an $m{\times}n$ rank-deficient matrix and the index of A W is $k_1$, the index of W A is $k_2$, b is a real vector of size n in the range of $(WA)^{k_2}$, $\chi$ is a real vector of size m in the range of $(AW)^{k_1}$. Let $\alpha$ and $\beta$ be two positive real numbers, when we consider the weighted Frobenius norm $\|[{\alpha}W\;AW,\;{\beta}b]\|$(equation omitted) on the data we get the formula of condition number of the W-weighted Drazin-inverse solution of linear system. For the normwise condition number, the sensitivity of the relative condition number itself is studied, and the componentwise perturbation is also investigated.

How Do Pre-Service Teachers Disprove $0.99{\cdots}$ <1? (예비교사들은 $0.99{\cdots}$ <1라는 주장을 어떻게 반박하는가?)

  • Lee, Jihyun
    • School Mathematics
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    • v.16 no.3
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    • pp.491-502
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    • 2014
  • This paper analyzed pre-service teachers' justification of $0.99{\cdots}$=1 from their disproof of $0.99{\cdots}$ <1. Some pre-service teachers thought of the difference between $0.99{\cdots}$ and 1 as an infinitesimal. On the contrary, the others claimed that the difference between $0.99{\cdots}$ and 1 was zero as the standard real, but were content with their intuitive justifications. The pre-service teachers' limitation revealed in the process of disproving $0.99{\cdots}$ <1 can be closely related to the orthodox view: the standard real number system is the only absolutely true number system. The existence of nonstandard real number system in which $0.99{\cdots}$ is less than 1, shows that the plain question of whether or not $0.99{\cdots}$ equals 1, cannot be properly answered by common explanations of textbooks or teachers' intuitive justification.

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Analysis of Some Strange Behaviors of Floating Point Arithmetic using MATLAB Programs (MATLAB을 이용한 부동소수점 연산의 특이사항 분석)

  • Chung, Tae-Sang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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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.

Intelligent System Predictor using Virtual Neural Predictive Model

  • 박상민
    • Proceedings of the Korea Society for Simulation Conference
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    • 1998.03a
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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.

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A study on the fuzzy simulation for real world system (실세계 시스템의 퍼지 시뮬레이션에 관한 연구)

  • 이은순
    • Journal of the Korea Society for Simulation
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    • v.6 no.2
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    • pp.105-115
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    • 1997
  • Fuzzy simulation predicts the behaviors of real system based on a model by qualitative reasoning methods and simulates the representation of ambiguous values on the real system variables using the theory of fuzzy sets. During the simulation, however, unnecessary behaviors due to the fuzzy representation are created, and the number of states of system variables changing temporally in the time axis is drastically increased. In this paper, we present a new algorithm which eliminates the spurious behaviors from the great number of result values due to the results of the fuzzy operation, and reduces the number of the states by transforming the complex state transition rules. This paper also shows the easy implementation of the simulation by using the existing package while it is difficult on the PC due to the complexities of the calculation.

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The Virtual Environment Control using Real-time Graphic Deformation Algorithm (실시간 그래픽 디포메이션 알고리즘을 이용한 가상환경젱어)

  • 강원찬;김남오;최창주
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.5
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    • pp.309-314
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    • 2004
  • In the established virtual-reality system, although it is possible to transact a faculty of sensation and graphic in a single PC, virtual object forcibly treated with rigid body for the reason of the huge amount of calculation, and the number of polygon is restricted. Furthermore, there is some difficulty in the financial aspect and a program field, because the existing virtual-reality system needs at least two workstations or super computers. In this study, the new force-reflecting algorithm called as "Proxy" and a finite element method of Hyperion are applied to this system in order to transact in real-time. Consequently, though the number of polygon, which brings about an obstacle is increased in the real-time graphic transaction, this system makes it possible to transact in the real-time, not being influenced by the size of the virtual object.

Development of Education and Training System for the Auto-Reclosing of Power Transmission System Using a Real Time Digital Simulator (실시간 계통시뮬레이터를 이용한 송전계통 자동재폐로 교육 및 훈련 시스템 개발)

  • Park, Jong-Chan;Yun, Sang-Yun
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.1
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    • pp.1-9
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    • 2010
  • This paper summarizes an education and training system for the auto-reclosing of power transmission system using a real time digital simulator. The system is developed to understand the principle of reclosing and the sequence of automatic reclosing schemes, and practice the effects of reclosing actions to power system in real-time simulator. This study is concentrated into the following two parts. One is the development of real time education and training system of automatic reclosing schemes. For this, we use the RTDS(real time digital simulator) and the actual digital protective relay. The mathematical relay model of RTDS and the actual distance relay which is equipped automatic reclosing function are also used. The other is the user friendly interface between trainee and trainer. The various interface displays are used for user handing and result display. The conditions of automatic reclosing which is a number of reclosing, reclosing dead time, reset time, and so on, can be changed by the user interface panel. A number of scenario cases are reserved for the education and training. Through the test, we verified that the proposed system can be effectively used to accomplish the education and training of automatic reclosing.