Error Function and Complementary Error Function Definitions
2009
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About 10,000 papers for “Error function”
2009
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Mackrous, Isabelle · Figshare · 2021
Custom algorithms used in the scientific article entitle: Context-independent encoding of passive and active self-motion in vestibular afferent fibers during locomotion in primates.<br>
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Mackrous, Isabelle · Figshare · 2021
Custom algorithms used in the scientific article entitle: Context-independent encoding of passive and active self-motion in vestibular afferent fibers during locomotion in primates.<br>
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James D. Plummer, Peter B. Griffin · 2023
Master fundamental technologies for modern semiconductor integrated circuits with this definitive textbook. It includes an early introduction of a state-of-the-art CMOS process flow, exposes students to big-picture thinking from the outset, and encourages a practical integration mindset. Extensive use of process and TCAD simulation, using industry tools such as Silvaco Athena and Victory Process, provides students with deeper insight into physical principles, and prepares them for applying these tools in a real-world setting. Accessible framing assumes only a basic background in chemistry, physics and mathematics, providing a gentle introduction for students from a wide range of backgrounds; and over 450 figures (many in color), and more than 280 end-of-chapter problems, will support and cement student understanding. Accompanied by lecture slides and solutions for instructors, this is the ideal introduction to semiconductor technology for senior undergraduate and graduate students in electrical engineering, materials science and physics, and for semiconductor engineering professionals seeking an authoritative introductory reference.
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Donald L. Shirer, Robert M. Hashway · American Journal of Physics · 1974
First Page
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P Moreau, D Lochegnies, J Oudin · 2016
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Elsevier eBooks · 1982
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2015
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Horst Alzer · Advances in Computational Mathematics · 2009
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Elsevier eBooks · 2016
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Developments in geotechnical engineering · 1991
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Woojin Park · Journal of the Korea Academia-Industrial cooperation Society · 2009
하중을 받는 구조 부재는 사용기간 동안 다양한 형태의 손상을 입는다. 실험을 통해 구조물의 안정성을 평가하기 위해서는 많은 노력과 비용이 들고, 경우에 따라서는 측정 불가능한 부분도 있으므로 이들 측정 자료의 빈약함과 오차는 반드시 고려되어야 할 사항이다. 본 논문에서는 정적자료와 동적자료를 사용하는 System Identification 기법에 의한 파라미터 추정과 손상 검색 알고리즘을 소개한다. 정적 자료와 동적 자료에 적합한 형태의 측정 오차를 고려하여 System Identification 기법의 방정식 오차함수와 응답 오차함수를 이용함으로써 트러스 구조물의 강성도와 손상을 추정하였고, 측정 자료가 빈약하고 오차가 포함되어 있는 손상된 구조물을 판단하기 위한 기준을 제시하기 위하여 몬테카를로 반복 시행에 근거한 측정치 섭동법을 수행하였다. 방정식 오차함수와 응답 오차함수에 다양한 형태의 오차를 첨가하여 시뮬레이션 환경에 맞는 오차의 형태를 추정한 결과 정적이나 동적 자료 모두 응답 오차함수에 의한 추정 결과가 방정식 오차함수를 이용한 것보다 월등함을 확인할 수 있었고, 응답 오차함수에 절대오차를 고려한 경우가 정확도면에서 가장 좋은 결과를 가져왔다. 부재의 형태에 따른 추정 오차를 비교한 결과 트러스의 복재가 현재에 비해 상대적으로 큰 편차가 발생하여 현재에 비하여 추정값의 정확성이 저하되었고, 주어진 하중 및 측정 조건에 민감하게 반응하지 못하는 부재는 손상 추정에서 손상의 유무를 결정하기가 쉽지 않다는 것을 알 수 있었다. Load bearing structural members in a wide variety of applications accumulate damage over their service life. During experiment much effort and cost is needed for measuring structural safety assessment. The sparseness and errors of measured data have to be considered during the safety estimation of structures. This paper introduces parameter estimation and damage identification algorithm by a system identification using static and dynamic response. The equation error estimator and response error widely used in system identification are based on the minimization of least squared error between measured and calculated responses by a mathematical model of a structure. Since each estimator has a specific form of application in noisy environment and proposes different definitions for these forms. To study the behaviour of the estimators in noisy environment Using Monte Carlo simulation, and a data measured pertubation scheme is adopted to investigate the influence of measurement errors on identification results. The assessment result by static and dynamic response were compared, and the efficiency and applicabilities of the proposed algorithm are demonstrated through simulated static and dynamic responses of a dimensional truss type structures.
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S. M. Abrarov, B. M. Quine, R. K. Jagpal · 2012
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James V Stone (378781) · Figshare · 2015
<p>The response of the network to a given input vector <b>x</b> is y = <b>w</b> · <b>x</b>. Given a desired (target) output <i>d</i>, the solid curve shows how the fitness penalty <i>D</i> for an incorrect response increases sharply (to unity) if the magnitude of the difference <i>e</i> = <i>y</i> − <i>d</i> is greater than 0.1 (i.e., if <i>e</i><sup>2</sup> > 0.01). For comparison, the quadratic error function <i>e</i><sup>2</sup> = (<i>y</i> − <i>d</i>)<sup>2</sup>, which is minimised during learning, is shown as a dashed curve. The range of <i>e</i>-values shown are typical for the simulations reported here. See <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0030147#s2" target="_blank">Methods</a> section for details.</p>
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Irfan Javid (13411426), Rozaida Ghazali (621669), Irteza Syed (13988821) et al. · Figshare · 2022
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Larry A. Glasgow · Transport Phenomena · 2010
This appendix contains sections titled: Absorption–Reaction in Quiescent Liquids
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Vetter, J. R., Martin, C. F. · NASA Technical Reports Server (NASA)
PAGE 5.2 Long Arc Multiple Station 9 5.2.1 Orbit Accuracy 9 5.2.2 Residuals 5.2.3 Characteristics of Long Arc Multi-Station Solutions 6.0 Problems in Error Model Recovery 6.1 General 6.2 Short Arc Recovery 6.2.1 Orbit Accuracy 6.2.2 Characteristics of Short Arc Bias Recovery 62 with Bias Adjustments 6.3.1 Orbit Accuracy 6.3.
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Henry E. Fettis, James C. Caslin, Kenneth R. Cramer · Mathematics of Computation · 1973
The first one hundred zeros of the error function and of the complementary error function are given. An asymptotic formula for the higher zeros is also derived.
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Henry E. Fettis, James C. Caslin, Kenneth R. Cramer · Mathematics of Computation · 1973
The first one hundred zeros of the error function and of the complementary error function are given. An asymptotic formula for the higher zeros is also derived.
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Jianying Zhang (256508), Tengda Ding (716677), Zhijian Zhang (1921600) et al. · Figshare · 2015
<p><sup>a</sup> Values in bold represent the minimum sum of normalized errors (SNE).</p><p>Langmuir-Freundlich parameters with error analysis/error function.</p>
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