• Title/Summary/Keyword: second-order

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A MAXIMUM PRINCIPLE FOR NON-NEGATIVE ZEROTH ORDER COEFFICIENT IN SOME UNBOUNDED DOMAINS

  • Cho, Sungwon
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.747-756
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    • 2018
  • We study a maximum principle for a uniformly elliptic second order differential operator in nondivergence form. We allow a bounded positive zeroth order coefficient in a certain type of unbounded domains. The results extend a result by J. Busca in a sense of domains, and we present a simple proof based on local maximum principle by Gilbarg and Trudinger with iterations.

CIRCULATION KINEMATICS IN NONLINEAR LABOROTORY WAVES (조파수로에서의 질량순환)

  • ;Robert T. Hudspeth
    • Proceedings of the Korea Water Resources Association Conference
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    • 1987.07a
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    • pp.223-234
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    • 1987
  • A weakly nonlinear solution is presented for the two-dimensional wave kinematics forced by a generic wavemaker of variable-draft. The solution is valid for both piston and hinged wavemakers of variable-draft that may be double articulated. The second-order propagating waves generated by a planar wave board are composed of two components; viz., a Stokes second-order wave and a second-harmonic wave forced by the wavemaker which travels at a different speed. A previously neglected time-independent solution that is required to satisfy a kinematic boundary condition on the wavemaker as well as a mixed boundary condition on the free surface is included for the first time. A component of the time-independent solution is found to accurately estimate the mean return current(correct to second-order) in a closed wave flume. This mean return current is usually estimated from kinematic considerations by a conservation of mass principle.

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Exploratory Study on Smart Usage of Smartphone Using the Second-order Measurement Model (스마트폰의 '스마트한 이용'에 대한 탐색적 연구 '스마트함', '스마트하다'의 이용행태에 대한 2차 측정모형을 중심으로)

  • Kim, Ki Yoon
    • Korean journal of communication and information
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    • v.74
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    • pp.72-108
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    • 2015
  • The more mobile technology evolves, the more users are trapped in mobile technology by being encouraging the replacement with state-of-the-art technology. However, the use of device is not entirely determined by technology's attributes itself. The meaning of smartness can be varied by 'how users accept and perceive immediate spatial perception from reality to mobile space' without recognizing the boundaries between them. This study focuses on the analysis of 'smart usage' for smartphone and this is verified the concept of 'smart usage' by the second-order measurement model. The result show that the concept organization of 'smart usage' had been differentiated and elicited by the six factors - 'multifunctional use readiness', 'administrative efficiency', 'embedded media', 'device connectivity', 'user-friendly optimization', and 'external connectivity(being connected). According to the conceptual factors, 'smart usage' can be explained in an individual's autonomous ability to control a mobile interface and to utilize a wide range of applications of smartphones.

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New Pre-processing Method for Second-Order CPA on the IT Convergence Device (IT융합 디바이스에 대한 물리적 2차 CPA 공격을 위한 새로운 전처리 기법)

  • Lee, Chul-Hee;Hwang, Ah-Reum;Lee, Dong-Geon;Kim, Hyoung-Nam;Kim, Ho-Won
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.9B
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    • pp.1369-1380
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    • 2010
  • In this paper, we propose the efficient Second-Order Differential Power Analysis attack, which has ability to find significant information such as secret key in the devices consisting IT convergence environment such as Smartgrid, Advanced Metering Infrastructure(AMI) and ZigBee-based home networking service. This method helps to find the secret key easily at a device, even though it uses a countermeasure like masking which makes First-Order DPA attack harder. First, we present the performance results of our implementation which implements practical Second-Order DPA attack using the existing preprocessing function, and analyze it. Then we propose a stronger preprocessing function which overcomes countermeasures like masking. Finally, we analyze the results of the Second-Order CPA attack using proposed preprocessing function and verify that proposed scheme is very threatening to the security fields of IT convergence technology through the experimental results.

NOTE ON STIRLING POLYNOMIALS

  • Choi, Junesang
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.3
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    • pp.591-599
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    • 2013
  • A large number of sequences of polynomials and numbers have arisen in mathematics. Some of them, for example, Bernoulli polynomials and numbers, have been investigated deeply and widely. Here we aim at presenting certain interesting and (potentially) useful identities involving mainly in the second-order Eulerian numbers and Stirling polynomials, which seem to have not been given so much attention.

2nd-Order 3-Bit Delta-Sigma Modulator For Zero-IF Receivers using DWA algorithm (DWA알고리즘을 적용한 Zero-IF 수신기용 2차 3비트 델타-시그마 변조기)

  • Kim, Hui-Jun;Lee, Seung-Jin;Choe, Chi-Yeong;Choe, Pyeong
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.75-78
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    • 2003
  • In this paper, a second-order 3-bit DSM using DWA(Data Weighted Averaging) algorithm is designed for bluetooth Zero-IF Receiver. The designed circuit has two integrators using a designed OTA, nonoverlapping two-phase clerk generator, 3-bit A/D converter, DWA algorithm and 3-bit D/A converter An ideal model of second-order lowpass DSM with a 3-bit quantizer was configured by using MATLAB, and each coefficients and design specification of each blocks were determined to have 10-bit resolution in 1MHz channel bandwidth. The designed second-order 3-blt lowpass DSM has maximum SNR of 74dB and power consumption is 50mW at 3.3V.

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PERFORMANCE OF TWO DIFFERENT HIGH-ACCURACY UPWIND SCHEMES IN INVISCID COMPRESSIBLE FLOW FIELDS

  • Hosseini R;Rahimian M.H;Mirzaee M
    • Journal of computational fluids engineering
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    • v.10 no.1
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    • pp.99-106
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    • 2005
  • Performance of first, second and third order accurate methods for calculation of in viscid fluxes in fluid flow governing equations are investigated here. For the purpose, an upwind method based on Roe's scheme is used to solve 2-dimensional Euler equations. To increase the accuracy of the method two different schemes are applied. The first one is a second and third order upwind-based algorithm with the MUSCL extrapolation Van Leer (1979), based on primitive variables. The other one is an upwind-based algorithm with the Chakravarthy extrapolation to the fluxes of mass, momentum and energy. The results show that the thickness of shock layer in the third order accuracy is less than its value in second order. Moreover, applying limiter eliminates the oscillations near the shock while increases the thickness of shock layer especially in MUSCL method using Van Albada limiter.

Study on The Integration Operational Metrices Improved by The Lagrange Second Order Interpolation Polynomial (Lagrange 이차 보간 다앙식을 이용한 개선된 적분 연산 행렬에 관한 연구)

  • Kim, Tai-Hoon;Lee, Hae-Ki;Chung, Je-Wook
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.7
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    • pp.286-293
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    • 2002
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of continuous-time dynamic systems more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and drives the related integration operational matrices by using the Lagrange second order interpolation polynomial.

A New Block Pulse Operational Matrices Improved by The Second Order Lagrange Interpolation Polynomial (Lagrange 이차 보간 다항식을 이용한 새로운 일반형 블럭 펄스 적분 연산 행렬)

  • 심재선;김태훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.6
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    • pp.351-358
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    • 2003
  • This paper presents a new method for finding the Block Pulse series coefficients, deriving the Block Pulse integration operational matrices and generalizing the integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of state estimation or parameter identification more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and integral operational matrices. This paper presents the method for improving the accuracy of the Block Pulse series coefficients and derives the related integration operational matrices and generalized integration operational matrix by using the Lagrange second order interpolation polynomial.

Analysis of the Nonlinear Motions of a Tension Leg Platform in Time Domain (시간영역에서 인장계류식 해양구조물의 비선형 운동응답 해석)

  • 이창호
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.37 no.4
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    • pp.313-320
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    • 2001
  • In the presence of incident waves with different frequencies, there are second order sum and difference frequency wane exciting forces due to the nonlinearty of the incident waves. Although the magnitudes of these nonlinear forces are small, they act at sum and difference frequencies away from those of the incident waves. So, the second order sum and difference frequency wane loads occurring close to the natural frequencies of TLPs often give greater contributions to high and low frequency resonant responses. The components of the second order forces which depend on first order quantities have been evaluated using the three dimensional source distribution method. The numerical results of time domain motion analysis for the nonlinear wave exciting forces in regular waves are compared with the numerical ones of frequency domain analysis. The results of comparison confirmed the validity of the proposed approach.

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