• Proceedings of the KIEE Conference
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• 2009.07a
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• pp.1988_1989
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• 2009

본 논문은 이차 미분 맥파(SDPTG, Second Derivation of Photoplethysmogram)를 측정하여 이차 미분 맥파의 5개의 특징점을 검출하는 방법에 대한 내용을 기술한다. 본 논문에서는 측정된 신호의 신호대 잡음비(SNR)을 높이는 방법과 기존의 미분을 이용한 변곡점 추출의 한계적인 부분, 그리고 본 논문에서 제안하는 이차 미분 맥파의 특징점의 분포를 이용한 특징점 추출 알고리즘에 대해서 설명한다.

• Korean Journal of Optics and Photonics
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• v.25 no.5
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• pp.273-278
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• 2014

We present an algorithm for surface reconstruction from the second-derivative data for free-form aspherics, which uses a subaperture scanning system that measures the local surface profile and determines the three second-derivative values at those local sampling points across the free-form surface. The three second-derivative data were integrated to get a map of x- and y-slopes, which went through a second Southwell integration step to reconstruct the surface profile. A synthetic free-form surface 200 mm in diameter was simulated. The simulation results show that the reconstruction error is 19 nm RMS residual difference. Finally, the sensitivity to noise is diagnosed for second-derivative Gaussian random noise with a signal to noise ratio (SNR) of 16, the simulation results proving that the suggested method is robust to noise.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.25 no.4
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• pp.501-507
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• 2021

Neural networks with differentiable activation functions are differentiable with respect to input variables. We improve the approximation capability of neural networks by using the gradient and Hessian of neural networks to satisfy the differential equations of the problems of interest. We apply differential neural networks to the pricing of financial options, where stochastic differential equations and the Black-Scholes partial differential equation represent the differential relation of price of option and underlying assets, and the first and second derivatives of option price play an important role in financial engineering. The proposed neural network learns - (a) the sample paths of option prices generated by stochastic differential equations and (b) the Black-Scholes equation at each time and asset price. Experimental results show that the proposed method gives accurate option values and the first and second derivatives.

• Journal of the Korean Society of Manufacturing Process Engineers
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• v.10 no.2
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• pp.104-109
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• 2011

I present a method of aspheric surface profile measurement using 2nd derivative of local area profile. This method is based on the principle of curvature sensor which measures the local 2nd derivative under test along a line. The profile is then reconstructed from the data on the each point. Unlike subaperture-stiching method and slope detection method, 2nd derivative method has strong points from a geometric point of view in measuring the aspheric surface profile. The second derivative terms of surface profile is an intrinsic property of the test piece, which is independent of its position and tip-tilt motion. The curvature is measured at every local area with high accuracy and high lateral resolution by using White-light scanning interferometry.

• Proceedings of the Korean Magnestics Society Conference
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• 2011.06a
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• pp.194-195
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• 2011

• Proceedings of the Korean Nuclear Society Conference
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• 1997.10a
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• pp.79-84
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• 1997

동특성 분석 코드 시스템 PANBOX2는 시간에 대한 미분을 Implicit Euler 방법을 사용하여 근사한다. 이 경우 Local Truncation Error는 중성자속의 이차 미분에 비례한다. Time-Step-Doubling 기법을 이용하여 Local Truncation Error의 근사치를 구하고 이를 이용하여 Time Step Size를 조절해 주는 방법을 동특성 분석 코드 시스템 PANBOX2에 도입하였다. LRA와 NEACRP 제어봉 인출사고 검증문제에 대한 분석 결과, PANBOX2 시스템의 기존 방법에 비해 효과적으로 Time Step을 제어하였으며 보다 정확한 결과를 얻을 수 있었다.

• Proceedings of the Optical Society of Korea Conference
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• 2007.02a
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• pp.311-312
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• 2007

• Communications of Mathematical Education
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• v.8
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• pp.287-301
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• 1999

방과후 수학수업이나 현행 수학능력시험 후 고3학생의 수학지도는 그 방법과 목적이 기존의 수학교과의 내용과 운영방식과는 차별화 되야 한다. 특히 교사는 이에 대한 인식과 필요한 지식이 증대 되야 하며, 교내 방과후 영재반 또는 수학관련 동아리에서 사용할 주제의 선정과 교수법이 개발되어야한다. 주제선정은 대수, 해석영역에서 연계성이 강하게 나타나는 것이 바람직하며, 수학교육의 목표에 실질적으로 부합되어야한다. 본 논문에서 우리는 일${\cdot}$이차 다항식을 예로 제시하고자 한다. 다항식은 중학교 수학교과에서 인수분해와 전개의 대상이고 고교과정에선 접선이나 정적분의 대상이다. 우리는 일${\cdot}$이차다항식을 미분, 적분, 행렬, 그리고 벡터의 입장에서 근사(approximation)의 주체로 다루었다.

• Journal of the Korean Vacuum Society
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• v.16 no.6
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• pp.458-462
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• 2007

Spectroscopic ellipsometry is an excellent technique for determining dielectric function. To obtain critical point energy, standard analytic critical point expression is used conventionally for second derivatives of dielectric function which might increase high frequency noise than signal. However, reciprocal-space analysis offers several advantages for determining critical point parameters in optical and other spectra, for example the separation of baseline, information, and high frequency noise in low-, medium-, high-index Fourier coefficient, respectively. We used reciprocal Fourier analysis for removing noise and determining critical point of ZnCdSe alloy.

• Computational Structural Engineering
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• v.3 no.1
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• pp.83-95
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• 1990

Many structural optimization problems are solved by numerical algorithms since these are complicated and nonlinear. To provide a wider base and popular it to structual design optimization, reliable, accurate and superlinearly convergent nonlinear programming algorithm with active-set strategy have been developed. One of these is RQP(recursive quadratic programming method). This algorithm has several parameters and its performance is influenced by variations of these key parameters. Therefore, an RQP algorithm is selected to enhance its numerical performances by choosing proper parameters. The paper persents these influences on its numerical performance. For comparison of performances, a structural design software for minimum weight of truss subjected to displacement, stress, and lower and upper bounds on design variables is also implemented.