• 제목/요약/키워드: multiplying by zero

검색결과 17건 처리시간 0.025초

초등학교 수학에서 0의 의미와 성질에 대한 고찰 (Some Notes on the Meaning and the Properties of Zero in Elementary School Mathematics)

  • 백대현
    • 한국초등수학교육학회지
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    • 제23권1호
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    • pp.43-57
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    • 2019
  • 초등학교 1학년 수학에서 '아무것도 없음'을 나타내는 수 0은 '1보다 1작은 수'의 의미로 도입된다. 또한 1, 2학년 수학에서 처음 제시되는 0의 성질은 0을 더하고, 빼고, 곱하는 예시적인 상황으로 설명된다. 그러나 이후 학습에서는 0의 의미와 성질을 더 이상 명시적으로 다루지 않는다. 본 연구에서는 초등학교 학생들이 0의 의미와 성질을 이해하는 데 도움을 주기 위하여 초등학교 수학 교과서에 제시된 0의 도입 방식과 계산식을 해결하는 과정에서의 0의 성질의 적용 방안에 대하여 논의하고자 한다. 이를 통해 초등학교 수학에서 0의 의미와 성질에 관한 교육적 시사점을 도출하고자 한다.

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유리수차 조화 모드잠김 광섬유 링레이저로부터 발생된 교차 위상 RZ(return-to-zero) 신호의 분산 제어 전송 (Dispersion tolerant transmission of the return-to-zero signal with alternate-phase generated from a rational harmonic mode-locked ring laser)

  • 조현정;황종규;김백현;백종현
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.203-204
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    • 2006
  • We present and demonstrate a novel method of alternate-phase return-to-zero (RZ) signal generation and pulse-amplitude equalization simultaneously in a rational harmonic mode-locked fiber ring laser, using a dual-drive Mach-Zehnder (MZ) modulator. By adjusting the voltages applied to both arms of the modulator, the rational harmonic mode-locked pulse trains are equalized in their amplitudes. In addition to that, the amplitude-equalized pulse trains multiplying the repetition rate at ${\sim}10\;GHz$ have alternate $\pi$ phase difference between adjacent pulses. The alternate-phase RZ signal generated by the proposed method enhances transmission performance through the single-mode fiber (SMF) links without dispersion compensation.

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원인균별 식중독 발생 건수 예측 (Prediction of the Number of Food Poisoning Occurrences by Microbes)

  • 여인권
    • 응용통계연구
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    • 제26권6호
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    • pp.923-932
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    • 2013
  • 이 논문에서는 우리나라에서 발생하는 원인균별 식중독 발생건수를 예측하는 방법을 제안한다. 우리나라에서 보고되는 주별 식중독 발생 건수를 원인균로 나누면 자료에 많은 0의 관측값이 포함되어 있으며 식중독 발생 간에 종속성을 가진다. 이 현상을 모형화하기 위해 이 논문에서는 전체 식중독 건수를 자기회귀모형으로 예측하고 원인균별 식중독 발생 확률을 다범주 로짓모형으로 추정한다. 예측된 식중독 건수와 추정된 원인균별 식중독 발생 확률을 곱하여 원인균별 식중독 발생건수를 예측한다. 제안된 방법의 타당성을 확인하기 위해 평균제곱오차와 평균절대편차를 이용하여 제안 방법과 영과잉모형을 비교해 본다.

Au 전극과 pentacene 박막 계면의 contact resistance 측정 (Extraction of Contact Resistance in Interface Between Au Electrode and Pentacene Thin Film)

  • 정보철;류기성;김용규;송정근
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2006년도 하계종합학술대회
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    • pp.481-482
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    • 2006
  • We fabricated pentacene organic thin film transistor with good uniformity. And we extracted contact resistance in organic thin film transistors from the plot of the inverse of drain current versus channel length by extrapolating the curve to a channel length of zero, and multiplying by drain-source voltage. Extracted contact resistance is about $70K{\Omega}$ at gate-drain voltage of -20 V

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인식거리 향상을 위한 UHF 대역 RFID 태그용 전압체배기 설계 (Design Consideration of the Voltage Multiplier of UHF RFID Tag for Increased Reading Range)

  • 이종욱;이범선
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2005년도 추계종합학술대회
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    • pp.587-590
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    • 2005
  • We investigated the input impedance characteristics of UHF-band RFID tag chip for increased reading range. A voltage multiplier designed using 0.4 ${\mu}m$ $zero-V_T$ MOSFET showed that DC output voltage of 2 V can be obtained using standard CMOS process. The input impedance of the voltage multiplier was examined to achieve impedance level for maximum reading distance using analytical and numerical approaches. The input impedance of the voltage multiplier could be varied in a wide range by selecting the size of MOSFET and the number of multiplying stages of the voltage multiplier, and thus, the impedance level required for the tag antenna can be obtained in presence of other tag circuit blocks.

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A SCHWARZ METHOD FOR FOURTH-ORDER SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEM WITH DISCONTINUOUS SOURCE TERM

  • CHANDR, M.;SHANTHI, V.
    • Journal of applied mathematics & informatics
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    • 제34권5_6호
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    • pp.495-508
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    • 2016
  • A singularly perturbed reaction-diffusion fourth-order ordinary differential equation(ODE) with discontinuous source term is considered. Due to the discontinuity, interior layers also exist. The considered problem is converted into a system of weakly coupled system of two second-order ODEs, one without parameter and another with parameter ε multiplying highest derivatives and suitable boundary conditions. In this paper a computational method for solving this system is presented. A zero-order asymptotic approximation expansion is applied in the second equation. Then, the resulting equation is solved by the numerical method which is constructed. This involves non-overlapping Schwarz method using Shishkin mesh. The computation shows quick convergence and results presented numerically support the theoretical results.

푸리에 영역에서의 위상 변조 Exclusive-OR 연산을 이용한 단일 경로 위상 암호화 시스템 (Single Path Phase-only Security System using Phase-encoded XOR Operations in Fourier Plane)

  • 신창목;조규보;김수중;노덕수
    • 한국광학회지
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    • 제16권4호
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    • pp.326-333
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    • 2005
  • 본 논문에서는 원 영상을 푸리변환한 후 위상 변조 XOR 연산으로 암호함으로써 정보의 손실에 강하며 한 개의 광 경로만으로 간단히 복호화 할 수 있는 위상 암호화 시스템을 제안하였다. 영 삽입된(zero-padded) 원 영상에 무작위 위상 영상을 곱하여 푸리에 변환된 데이터 값을 키 데이터와 위상 변조 XOR 연산으로 암호화한다. 이렇게 생성된 암호화 데이터와 키 데이터를 최종적으로 위상 변조하여 위상 암호화 영상과 위상 키 영상을 만든다. 위상 변조된 암호화 영상과 키 영상은 비가시성과 비선형성으로 인해 높은 정보보호의 특성이 있으며 또한, 푸리에 영역의 암호화로 인해 절단에 의한 정보의 손실에도 영상을 복호화 할 수 있다. 복호화 과정은 암호화 영상과 키 영상의 단순곱을 푸리에 변환한 후 영차 성분(zero-order component)을 공간 필터링함으로써 간단히 구현할 수 있으며, 복호화 시스템은 2공구조의 단일 경로의 구조를 바탕으로 하므로 부피가 상대적으로 작을 뿐만 아니라 외부 충격이나 기온 변화와 같은 환경적인 영향을 받지 않고 복호화를 수행할 수 있다. 제안한 암호화 과정과 복호화 시스템의 구현 가능성 및 타당성을 컴퓨터 모의실험을 통해 확인하였다.

AN ASYMPTOTIC FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS OF CONVECTION-DIFFUSION TYPE WITH DISCONTINUOUS SOURCE TERM

  • Babu, A. Ramesh;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1057-1069
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    • 2008
  • We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.

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The Summary of Researches on ADS in China

  • Haihong Xia;Zhixiang Zhao;Jigen Li;Yongqian Shi;Yinlu Han;Shengyun Zhu;Yongli Xu;Xialing Guan;Shinian Fu;Baoqun Cui
    • 한국방사성폐기물학회:학술대회논문집
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    • 한국방사성폐기물학회 2005년도 Proceedings of The 6th korea-china joint workshop on nuclear waste management
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    • pp.76-85
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    • 2005
  • The conceptual study of Accelerator Driven System (ADS) had lasted for about five years and ended in 1999 in China. As one project of 'the major state basic research program (973)' in energy domain, which is sponsored by the China Ministry of Science and Technology (MOST), a five years program of basic research for ADS physics and related technology has been launched since 2000 and passed national review last month. CIAE (China Institute of Atomic Energy), IHEP (Institute of High Energy Physics), PKU-IHIP (Institute of Heavy Ion Physics in Peking University) and other institutions are jointly carrying on the research. The research activities are focused on HPPA physics and technology, reactor physics of external source driven sub-critical assembly, nuclear data base and material study. For HPPA, a high current injector consisting of an ECR ion source, LEBT and a RFQ accelerating structure of 3.5MeV has been built. In reactor physics study, a series of neutron multiplication experimental study has been carried out and is being carrying on. The VENUS facility has been constructed as the basic experimental platform for the neutronics study in ADS blanket. It's a zero power sub-critical neutron multiplying assembly driven by external neutron produced by a pulsed neutron generator. The theoretical, experimental and simulation study on nuclear data, material properties and nuclear fuel circulation related to ADS is carrying on to provide the database for ADS system analysis. The main results on ADS related researches will be reported.

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NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • 제35권3_4호
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    • pp.277-302
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    • 2017
  • In this paper, we have proposed a numerical method for Singularly Perturbed Boundary Value Problems (SPBVPs) of reaction-diffusion type of third order Ordinary Differential Equations (ODEs). The SPBVP is reduced into a weakly coupled system of one first order and one second order ODEs, one without the parameter and the other with the parameter ${\varepsilon}$ multiplying the highest derivative subject to suitable initial and boundary conditions, respectively. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference scheme. The weakly coupled system is decoupled by replacing one of the unknowns by its zero-order asymptotic expansion. Finally the present numerical method is applied to the decoupled system. In order to get a numerical solution for the derivative of the solution, the domain is divided into three regions namely two inner regions and one outer region. The Shooting method is applied to two inner regions whereas for the outer region, standard finite difference (FD) scheme is applied. Necessary error estimates are derived for the method. Computational efficiency and accuracy are verified through numerical examples. The method is easy to implement and suitable for parallel computing. The main advantage of this method is that due to decoupling the system, the computation time is very much reduced.