• Title/Summary/Keyword: real numbers

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

  • 박임숙
    • The Mathematical Education
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    • v.40 no.2
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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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ON FUZZY METRIC SPACE

  • Choi, J. Y.;Park, B.I.;Park, C.H.;Moon, J.R.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.69-72
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    • 1997
  • In this papaers, we generalize the usual fuzzy metric on R, the set of all real numbers, and induce the fuzzy metric space(X, d) from a metric space(X, d)

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NEW INEQUALITIES FOR THE MOMENTS OF GUESSING MAPPING

  • Dragomir, S.S.;Hoek, J. Van Der
    • East Asian mathematical journal
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    • v.14 no.1
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    • pp.1-14
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    • 1998
  • Using some inequalities for real numbers and integrals we print out here some new inequalities for the moments of guessing mapping which complement the recent results of Arikan [1] and Boztas [2].

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A NOTE ON FELLER`S THEOREM

  • Hong, dug-Hun
    • Communications of the Korean Mathematical Society
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    • v.14 no.2
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    • pp.425-428
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    • 1999
  • In this note we have generalization of Feller`s theorem to real separable Banach spaces, from which we obtain easily Chow-Robbins “fair" games problem in the Banach spaces.aces.

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ON THE RECURSIVE SEQUENCE $x_{n+l} =\alpha+\frac{x_{n-1}^{p}}{x_{n}^{p}}$

  • STEVIC STEVO
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.229-234
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    • 2005
  • The boundedness, global attractivity, oscillatory and asymptotic periodicity of the positive solutions of the difference equation of the form $x_{n+l} =\alpha+\frac{x_{n-1}^{p}}{x_{n}^{p}},\;\; n = 0, 1, ...$ is investigated, where all the coefficients are nonnegative real numbers.

GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION

  • Abo-Zeid, R.
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.797-804
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    • 2010
  • The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.

USUAL FUZZY METRIC SPACE AND FUZZY HEINE-BOREL THEOREM

  • 최정열;윤은호;문주란
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.360-365
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    • 1995
  • We shall define the usual fuzzy distance between two fuzzy points in R, the set of all real, numbers, using the usual distance between two points in R. Applying the notion of this usual fuzzy distance, we construct the usual fuzzy topology for R, introduce the notions of lower, stationary and upper cover and obtain the fuzzy Heine-Borel theorem.

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Multi-National Integrated Car-License Plate Recognition System Using Geometrical Feature and Hybrid Pattern Vector

  • Lee, Su-Hyun;Seok, Young-Soo;Lee, Eung-Joo
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.1256-1259
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    • 2002
  • In this paper, we have proposed license plate recognition system for multi-national vehicle license plate using geometric features along with hybrid and seven segment pattern vectors. In the proposed system, we suggested to find horizontal and vertical relation after going through preparation process with inputted real-time license plate image of Korea and Japan, and then to classify license plate with using characteristic and geometric information of license plates. It classifies the extracted license plate images into letters and numbers, such as local name, local number, classification character and license consecutive numbers, and recognize license plate of Korea and Japan by applying hybrid and seven segments pattern vectors to classified letter and number region. License plate extraction step of the proposed system uses width and length information along with relative rate of Korean and Japanese license plate. Moreover, it exactly segmentation by letters with using each letter and number position information within license plate region, and recognizes Korean and Japanese license plates by applying hybrid and seven segment pattern vectors, containing characteristics related to letter size and movement within segmented letter area. As the result of testing the proposed system in real experiment, it recognized regardless of external lighting conditions as well as classifying license plates by nations, Korea and Japan. We have developed a system, recognizing regardless of inputted structural character of vehicle licenses and external environment.

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Study on the digitalization of trip equations including dynamic compensators for the Reactor Protection System in NPPs by using the FPGA

  • Kwang-Seop Son;Jung-Woon Lee;Seung-Hwan Seong
    • Nuclear Engineering and Technology
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    • v.55 no.8
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    • pp.2952-2965
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    • 2023
  • Advanced reactors, such as Small Modular Reactors or existing Nuclear Power Plants, often use Field Programmable Gate Array (FPGA) based controllers in new Instrumentation and Control (I&C) system architectures or as an alternative to existing analog-based I&C systems. Compared to CPU-based Programmable Logic Controllers (PLCs), FPGAs offer better overall performance. However, programming functions on FPGAs can be challenging due to the requirement for a hardware description language that does not explicitly support the operation of real numbers. This study aims to implement the Reactor Trip (RT) functions of the existing analog-based Reactor Protection System (RPS) using FPGAs. The RT equations for Overtemperature delta Temperature and Overpower delta Temperature involve dynamic compensators expressed with the Laplace transform variable, 's', which is not directly supported by FPGAs. To address this issue, the trip equations with the Laplace variable in the continuous-time domain are transformed to the discrete-time domain using the Z-transform. Additionally, a new operation based on a relative value for the equation range is introduced for the handling of real numbers in the RT functions. The proposed approach can be utilized for upgrading the existing analog-based RPS as well as digitalizing control systems in advanced reactor systems.

A Real-time Bus Arrival Notification System for Visually Impaired Using Deep Learning (딥 러닝을 이용한 시각장애인을 위한 실시간 버스 도착 알림 시스템)

  • Seyoung Jang;In-Jae Yoo;Seok-Yoon Kim;Youngmo Kim
    • Journal of the Semiconductor & Display Technology
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    • v.22 no.2
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    • pp.24-29
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    • 2023
  • In this paper, we propose a real-time bus arrival notification system using deep learning to guarantee movement rights for the visually impaired. In modern society, by using location information of public transportation, users can quickly obtain information about public transportation and use public transportation easily. However, since the existing public transportation information system is a visual system, the visually impaired cannot use it. In Korea, various laws have been amended since the 'Act on the Promotion of Transportation for the Vulnerable' was enacted in June 2012 as the Act on the Movement Rights of the Blind, but the visually impaired are experiencing inconvenience in using public transportation. In particular, from the standpoint of the visually impaired, it is impossible to determine whether the bus is coming soon, is coming now, or has already arrived with the current system. In this paper, we use deep learning technology to learn bus numbers and identify upcoming bus numbers. Finally, we propose a method to notify the visually impaired by voice that the bus is coming by using TTS technology.

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