Relevant bibliographies by topics / Derivative of function and its application

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Derivative of function and its application'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Derivative of function and its application"

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Zhang, Qing-Hua, Shuiming Chen, and Yuanyuan Qu. "Corrected Fourier series and its application to function approximation." International Journal of Mathematics and Mathematical Sciences 2005, no. 1 (2005): 33–42. http://dx.doi.org/10.1155/ijmms.2005.33.

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Any quasismooth functionf(x)in a finite interval[0,x0], which has only a finite number of finite discontinuities and has only a finite number of extremes, can be approximated by a uniformly convergent Fourier series and a correction function. The correction function consists of algebraic polynomials and Heaviside step functions and is required by the aperiodicity at the endpoints (i.e.,f(0)≠f(x0)) and the finite discontinuities in between. The uniformly convergent Fourier series and the correction function are collectively referred to as the corrected Fourier series. We prove that in order for
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Yadav, Swati, Rajesh K. Pandey, Anil K. Shukla, and Kamlesh Kumar. "High-order approximation for generalized fractional derivative and its application." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 9 (2019): 3515–34. http://dx.doi.org/10.1108/hff-11-2018-0700.

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Purpose This paper aims to present a high-order scheme to approximate generalized derivative of Caputo type for μ ∈ (0,1). The scheme is used to find the numerical solution of generalized fractional advection-diffusion equation define in terms of the generalized derivative. Design/methodology/approach The Taylor expansion and the finite difference method are used for achieving the high order of convergence which is numerically demonstrated. The stability of the scheme is proved with the help of Von Neumann analysis. Findings Generalization of fractional derivatives using scale function and wei
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Feng, Zaiyong, Linghua Ye, and Yi Zhang. "On the Fractional Derivative of Dirac Delta Function and Its Application." Advances in Mathematical Physics 2020 (October 14, 2020): 1–7. http://dx.doi.org/10.1155/2020/1842945.

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The Dirac delta function and its integer-order derivative are widely used to solve integer-order differential/integral equation and integer-order system in related fields. On the other hand, the fractional-order system gets more and more attention. This paper investigates the fractional derivative of the Dirac delta function and its Laplace transform to explore the solution for fractional-order system. The paper presents the Riemann-Liouville and the Caputo fractional derivative of the Dirac delta function, and their analytic expression. The Laplace transform of the fractional derivative of th
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Xu, Yi-Hong, and Zhen-Hua Peng. "Second-Order M-Composed Tangent Derivative and Its Applications." Asia-Pacific Journal of Operational Research 35, no. 05 (2018): 1850029. http://dx.doi.org/10.1142/s021759591850029x.

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A new kind of second-order tangent derivative, second-order [Formula: see text]-composed tangent derivative, for a set-valued function is introduced with help of a modified Dubovitskij–Miljutin cone. By using the concept, several generalized convex set-valued functions are introduced. When both the objective function and constrained function are second-order [Formula: see text]-composed derivable, under the assumption of nearly cone-subconvexlikeness, by applying a separation theorem for convex sets, Fritz John and Kuhn–Tucker second-order necessary optimality conditions are obtained for a poi
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Nguyen, Khoa Viet, and Mai Van Cao. "Exact Receptance Function of Cracked Beams and Its Application for Crack Detection." Shock and Vibration 2019 (December 7, 2019): 1–19. http://dx.doi.org/10.1155/2019/9485351.

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The receptance function is very important which interrelates the harmonic excitation and the response of a structure in the frequency domain. This paper presents the exact receptance function of cracked beams. In this work, the “receptance curvature” is defined as the second derivative of the receptance. The influence of the crack on the receptance curvature is investigated. The results show that when there are cracks, the receptance curvature is influenced significantly at crack positions. This might be useful for the detection of cracks. In this paper, the derivation of exact receptance of t
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Singh, Yudhveer, Vinod Gill, Sunil Kundu, and Devendra Kumar. "On the Elzaki transform and its applications in fractional free electron laser equation." Acta Universitatis Sapientiae, Mathematica 11, no. 2 (2019): 419–29. http://dx.doi.org/10.2478/ausm-2019-0030.

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Abstract This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative. We derive formula of Elzaki transform for Hilfer–Prabhakar derivative and its regularized version. The solution of Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative of fractional order is presented in terms of Mittag-Leffler type function. Furthermore, we find the application of the generalized Hilfer-Prabhakar derivative in linear partial differential equation and some problems of Mathematical Physics.
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Khan, Nabiullah, Talha Usma, and Mohd Aman. "Generalized Wright Function and Its Properties Using Extended Beta Function." Tamkang Journal of Mathematics 51, no. 4 (2020): 349–63. http://dx.doi.org/10.5556/j.tkjm.51.2020.3087.

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Solving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extentions (and generalizations) have been investigated and presented. The purpose and design of the paper is intended to study and come up with a new extention of the genralized Wright function by using generalized beta function and obtain some integral representation of the freshly defined function. Also we present the Mellin transform of this function in the form of Fox Wright function. Furthermore, we obtain the recurrence relation, der
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Kirane, Mokhtar, and Berikbol T. Torebek. "Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations." Fractional Calculus and Applied Analysis 22, no. 2 (2019): 358–78. http://dx.doi.org/10.1515/fca-2019-0022.

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Abstract In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-boundary-value problem for linear and nonlinear time-fractional diffusion equations possesses at most one classical solution and this solution depends continuously on the initial and boundary conditions. The extremum principle for an elliptic equation with a fractional Hadamard derivative is also proved.
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Li, Ming. "Integral Representation of Fractional Derivative of Delta Function." Fractal and Fractional 4, no. 3 (2020): 47. http://dx.doi.org/10.3390/fractalfract4030047.

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Delta function is a widely used generalized function in various fields, ranging from physics to mathematics. How to express its fractional derivative with integral representation is a tough problem. In this paper, we present an integral representation of the fractional derivative of the delta function. Moreover, we provide its application in representing the fractional Gaussian noise.
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Kim, Yongchae, and Hiroyuki Kudo. "Nonlocal Total Variation Using the First and Second Order Derivatives and Its Application to CT image Reconstruction." Sensors 20, no. 12 (2020): 3494. http://dx.doi.org/10.3390/s20123494.

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We propose a new class of nonlocal Total Variation (TV), in which the first derivative and the second derivative are mixed. Since most existing TV considers only the first-order derivative, it suffers from problems such as staircase artifacts and loss in smooth intensity changes for textures and low-contrast objects, which is a major limitation in improving image quality. The proposed nonlocal TV combines the first and second order derivatives to preserve smooth intensity changes well. Furthermore, to accelerate the iterative algorithm to minimize the cost function using the proposed nonlocal
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Dissertations / Theses on the topic "Derivative of function and its application"

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Tanja, Sekulić. "Efekti primene matematičkog modelovanja na obradu pojma izvoda funkcije u visokom strukovnom obrazovanju." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2020. https://www.cris.uns.ac.rs/record.jsf?recordId=114793&source=NDLTD&language=en.

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U  doktorskoj  disertaciji  je  prezentovano  pedagoško  istraživanje  koje  se  odnosi  na  teorijsko  i eksperimentalno  ispitivanje  efekata  primene  metodskih  pristupa  zasnovanih  na  matematičkom modelovanju u obradi izvoda funkcije i njegove primene u visokom strukovnom obrazovanju. Na osnovu teorijskih principa na kojima je zasnovan proces matematičkog modelovanja, osmišljen je način za implementaciju modelovanja u nastavni proces i kreirani su modeli za realizaciju obrad
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Al-Mohy, Awad. "Algorithms for the matrix exponential and its Fréchet derivative." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/algorithms-for-the-matrix-exponential-and-its-frechet-derivative(4de9bdbd-6d79-4e43-814a-197668694b8e).html.

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New algorithms for the matrix exponential and its Fréchet derivative are presented. First, we derive a new scaling and squaring algorithm (denoted expm[new]) for computing eA, where A is any square matrix, that mitigates the overscaling problem. The algorithm is built on the algorithm of Higham [SIAM J.Matrix Anal. Appl., 26(4): 1179-1193, 2005] but improves on it by two key features. The first, specific to triangular matrices, is to compute the diagonal elements in the squaring phase as exponentials instead of powering them. The second is to base the backward error analysis that underlies the
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Tarkuc, Simge. "Synthesis And Characterization Of A New Soluble Polythiophene Derivative And Its Electrochromic Application." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607993/index.pdf.

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The Knorr-Paal reaction of 1,4-di(2-thienyl)-1,4-butanedione with aniline to yield 1-phenyl-2,5-di(2-thienyl)-1H-pyrrole (PTP) was performed in the presence of catalytical amounts of p-toluenesulfonic acid (PTSA). Chemical polymerization of the monomer yielded a soluble polymer. Structures of both the monomer and the polymer were investigated by Nuclear Magnetic Resonance (1H and 13C NMR) and Fourier Transform Infrared (FTIR) Spectroscopy. The average molecular weight of the chemically synthesized polymer was determined by Gel Permeation Chromatography (GPC) as Mn = 7.2 x 103 g/mol. The el
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Amsheri, Somia M. A. "Fractional calculus operator and its applications to certain classes of analytic functions. A study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and -valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of -valent functions with negative coefficients in the open unit disk such as classes of -valent starlike func
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Amsheri, Somia Muftah Ahmed. "Fractional calculus operator and its applications to certain classes of analytic functions : a study on fractional derivative operator in analytic and multivalent functions." Thesis, University of Bradford, 2013. http://hdl.handle.net/10454/6320.

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The main object of this thesis is to obtain numerous applications of fractional derivative operator concerning analytic and ρ-valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of certain fractional derivative operator, we define various new classes of ρ-valent functions with negative coefficients in the open unit disk such as classes of ρ-valent starlike f
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Malik, Karan. "The Balanced Scorecard and its Application to the Marketing Function." Scholarship @ Claremont, 2015. http://scholarship.claremont.edu/cmc_theses/1091.

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This paper looks at Robert Kaplan and David Norton’s framework of the Balanced Scorecard (BSC) and strategy maps and their application to measuring performance at the level of the marketing business unit. It will begin by looking at the model itself and how it has evolved from solely being a performance measurement system to a strategic management system. It then applies this framework to the marketing function, which according to Peter Drucker, is one of the two main functions of business; the other being innovation. It also looks at the shortcomings of the traditional measurement systems for
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Reising, Justin. "Function Space Tensor Decomposition and its Application in Sports Analytics." Digital Commons @ East Tennessee State University, 2019. https://dc.etsu.edu/etd/3676.

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Recent advancements in sports information and technology systems have ushered in a new age of applications of both supervised and unsupervised analytical techniques in the sports domain. These automated systems capture large volumes of data points about competitors during live competition. As a result, multi-relational analyses are gaining popularity in the field of Sports Analytics. We review two case studies of dimensionality reduction with Principal Component Analysis and latent factor analysis with Non-Negative Matrix Factorization applied in sports. Also, we provide a review of a framewor
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Hirose, Minoru. "ON THE THEORY OF NORMALIZED SHINTANI L-FUNCTION AND ITS APPLICATION TO HECKE L-FUNCTION." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188454.

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Bharkhada, Bharat Kishore. "Efficient Fpga Implementation of a Generic Function Approximator and Its Application to Neural Net Computation." University of Cincinnati / OhioLINK, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1060978658.

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Shi, Xin. "Test and Assessment of Derivative Computation Architectures using OpenMDAO and its Application in a Real Airfoil Optimization Problem." Thesis, KTH, Numerisk analys, NA, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-237182.

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Optimization problems are widespread in everyday life and engineering science. In the engineering optimization domain, the problems are usually modelled with an objective function. To solve these kinds of optimization problems, there are two main classes of optimization algorithms that are used: gradient-based algorithms and gradient-free algorithms. We will focus on gradient-based algorithms where the computation of derivatives is a critical step in the process. In this thesis, we present five different methods for computing the derivatives. These are the finite-differences method (FD), the com
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Books on the topic "Derivative of function and its application"

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Liu, Qiangang. The Green's function method for fully unsteady aerodynamics around three-dimensional bodies and its application to flutter analysis. Institute for Aerospace Studies, 1986.

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Evsin, Maksim, and Valeriy Spesivcev. Financial markets. Workshop. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1013015.

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A workshop on the subject "Financial markets" covers all the course topics provided by the curriculum: the role and function of financial markets in the economy; securities market; market of derivative financial instruments; financial markets; regional financial markets.
 Contains practical and test tasks of different difficulty options that will allow to generate the required GEF professional competence. 
 Comply with Federal state educational standards of higher education of the last generation.
 Designed for undergraduate and graduate students in areas of training and 38.04.0
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Bratko, Aleksandr. Artificial intelligence, legal system and state functions. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1064996.

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The monograph deals with methodological problems of embedding artificial intelligence in the legal system taking into account the laws of society. Describes the properties of the rule of law as a Microsystem in subsystems of law and methods of its fixation in the system of law and logic of legal norms. Is proposed and substantiated the idea of creating specifically for artificial intelligence, separate and distinct, unambiguous normative system, parallel to the principal branches of law is built on the logic of the four-membered structure of legal norms. Briefly discusses some of the theory of
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Horing, Norman J. Morgenstern. Retarded Green’s Functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0005.

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Chapter 5 introduces single-particle retarded Green’s functions, which provide the probability amplitude that a particle created at (x, t) is later annihilated at (x′,t′). Partial Green’s functions, which represent the time development of one (or a few) state(s) that may be understood as localized but are in interaction with a continuum of states, are discussed and applied to chemisorption. Introductions are also made to the Dyson integral equation, T-matrix and the Dirac delta-function potential, with the latter applied to random impurity scattering. The retarded Green’s function in the prese
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The filtered Abel transform and its application in combustion diagnostics. National Aeronautics and Space Administration, Glenn Research Center, 2003.

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Fox, Raymond. The Use of Self. Oxford University Press, 2011. http://dx.doi.org/10.1093/oso/9780190616144.001.0001.

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This monograph presents recent advances in neural network (NN) approaches and applications to chemical reaction dynamics. Topics covered include: (i) the development of ab initio potential-energy surfaces (PES) for complex multichannel systems using modified novelty sampling and feedforward NNs; (ii) methods for sampling the configuration space of critical importance, such as trajectory and novelty sampling methods and gradient fitting methods; (iii) parametrization of interatomic potential functions using a genetic algorithm accelerated with a NN; (iv) parametrization of analytic interatomic
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Raff, Lionel, Ranga Komanduri, Martin Hagan, and Satish Bukkapatnam. Neural Networks in Chemical Reaction Dynamics. Oxford University Press, 2012. http://dx.doi.org/10.1093/oso/9780199765652.001.0001.

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This monograph presents recent advances in neural network (NN) approaches and applications to chemical reaction dynamics. Topics covered include: (i) the development of ab initio potential-energy surfaces (PES) for complex multichannel systems using modified novelty sampling and feedforward NNs; (ii) methods for sampling the configuration space of critical importance, such as trajectory and novelty sampling methods and gradient fitting methods; (iii) parametrization of interatomic potential functions using a genetic algorithm accelerated with a NN; (iv) parametrization of analytic interatomic
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Parr, Robert G., and Yang Weitao. Density-Functional Theory of Atoms and Molecules. Oxford University Press, 1995. http://dx.doi.org/10.1093/oso/9780195092769.001.0001.

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This book is a rigorous, unified account of the fundamental principles of the density-functional theory of the electronic structure of matter and its applications to atoms and molecules. Containing a detailed discussion of the chemical potential and its derivatives, it provides an understanding of the concepts of electronegativity, hardness and softness, and chemical reactivity. Both the Hohenberg-Kohn-Sham and the Levy-Lieb derivations of the basic theorems are presented, and extensive references to the literature are included. Two introductory chapters and several appendices provide all the
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Dignam, Alan, and John Lowry. 10. Derivative claims. Oxford University Press, 2018. http://dx.doi.org/10.1093/he/9780198811831.003.0010.

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Titles in the Core Text series take the reader straight to the heart of the subject, providing focused, concise, and reliable guides for students at all levels. This chapter examines derivative action as a means of safeguarding minority shareholders against abuses of power and its implications for the principle of majority rule. It begins by analysing the rule in Foss v Harbottle (1843), which translates the doctrine of separate legal personality, the statutory contract, the ‘internal management principle’, and the principle of majority rule into a rule of procedure governing locus standi (tha
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Dignam, Alan, and John Lowry. 10. Derivative claims. Oxford University Press, 2016. http://dx.doi.org/10.1093/he/9780198753285.003.0848.

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Titles in the Core Text series take the reader straight to the heart of the subject, providing focused, concise, and reliable guides for students at all levels. This chapter examines derivative action as a means of safeguarding minority shareholders against abuses of power and its implications for the principle of majority rule. It begins by analysing the rule in Foss v Harbottle (1843), which translates the doctrine of separate legal personality, the statutory contract, the ‘internal management principle’, and the principle of majority rule into a rule of procedure governing locus standi (tha
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Book chapters on the topic "Derivative of function and its application"

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Zhang, Rui, and Guozhen Liu. "Least Square Support Vector Machine for the Simultaneous Learning of a Function and Its Derivative." In Advanced Research on Electronic Commerce, Web Application, and Communication. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20367-1_69.

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Luderer, Bernd, Leonid Minchenko, and Tatyana Satsura. "Directional Derivatives of Marginal Functions." In Nonconvex Optimization and Its Applications. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-3468-3_5.

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Clunie, J. G. "Successive Derivatives of Analytic Functions." In Recent Advances in Fourier Analysis and Its Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0665-5_35.

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Penot, Jean-Paul. "Are Generalized Derivatives Sseful for Generalized Convex Functions?" In Nonconvex Optimization and Its Applications. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4613-3341-8_1.

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Zhao, Y. X., S. Y. Wang, L. Coladas Uria, and S. K. Mishra. "A Derivative for Semipreinvex Functions and Its Applications in Semipreinvex Programming." In Springer Optimization and Its Applications. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9640-4_5.

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Rahangdale, Deepali, Neha Joshi, and Anupama Kumar. "Chitosan and Its Derivatives: A New Versatile Biopolymer for Various Applications." In Functional Chitosan. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0263-7_1.

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Sergeyev, Ya D. "A Method Using Local Tuning for Minimizing Functions with Lipschitz Derivatives." In Nonconvex Optimization and Its Applications. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4757-2600-8_13.

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Li, Zhihua, and Xin Zhao. "Curve Fitting Derivative Method and Its Application in Mouse Growth." In Computer and Computing Technologies in Agriculture XI. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06137-1_13.

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Leśnierowski, G. "26. Lysozyme and its modified forms: properties, potential for its production and application." In Handbook of eggs in human function. Wageningen Academic Publishers, 2015. http://dx.doi.org/10.3920/978-90-8686-804-9_26.

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Pejaver, Vikas Rao, Heewook Lee, and Sun Kim. "Gene Cluster Prediction and Its Application to Genome Annotation." In Protein Function Prediction for Omics Era. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0881-5_3.

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Conference papers on the topic "Derivative of function and its application"

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Babu, V. Suresh, Devi R. Salini, Ambika Sekhar, and M. R. Baiju. "FGMOSFET circuit for Neuron Activation Function and its derivative." In 2009 4th IEEE Conference on Industrial Electronics and Applications (ICIEA). IEEE, 2009. http://dx.doi.org/10.1109/iciea.2009.5138303.

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Yi, Yang, Wang Zhan, Longlei Dong, and Guirong Yan. "An Iterative Circular Contour Winding Number Integral Method and its Application in Wave Propagation Analysis of Infinite Fluid-Filled Cylinder." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85561.

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In this article, an iterative circular contour winding number integral method (ICCWNI) is proposed. The error analysis and convergence proof is given. It overcomes the fault that the traditional circular winding number integral method can not locate the zeros accurately for the complex equation including function items of large-value derivative. In order to verify its reliability, the dispersion curves of infinite fluid-filled and fluid-loaded cylinder are computed. The results are in accord with the ones in the previous literatures.
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Yang, Daoyong, Feng Zhang, John A. Styles, and Junmin Gao. "Performance Evaluation of A Horizontal Well with Multiple Fractures Using A Slab Source Function." In SPE Middle East Unconventional Resources Conference and Exhibition. SPE, 2015. http://dx.doi.org/10.2118/spe-172968-ms.

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Abstract A novel slab source function has been formulated and successfully applied to accurately evaluate performance of a horizontal well with multiple fractures in a tight formation. A semi-analytical method is then applied to solve the newly formulated mathematical model by discretizing the fracture into small segments, each of which is treated as a slab source, assuming that there exists unsteady flow between the adjacent segments. The newly developed function has been validated with numerical solution obtained from a reservoir simulator and then extended its application to a field case. T
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Orynyak, Igor, Andrii Bogdan, and Iryna Selivestrova. "The Application of Long and Short Cylindrical Shell Solutions for Stress and Flexibility Determination in a Single Mitred Bend." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63598.

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The continuous pipe bend behavior is well elaborated in literature. It is characterized by local ovalization of each cross section during bending which results in enhanced flexibility of it as compared to straight pipe. When pipe bend approaches some other structural elements of a piping system the end effect take place which can be described by so called long shell solution. This long solution is, in fact, a semi-membrane Vlasov’s solution when the derivative of any geometrical or force function in axial direction is much smaller than in the circumferential one [1]. Mitred bend is formed by c
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King, Dan A. "Fuel Control of Gas Turbines by Programmable Logic Controllers." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-242.

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NOVA Corporation of Alberta has developed a programmable logic controller based gas turbine fuel control system for natural gas compressor set applications. The system carries out all necessary fuel control functions and was integrated into the existing programmable logic controller used for sequencing and shutdown. The system has been successfully implemented on several different aero derivative gas turbines to date. This paper discusses the development of the system, its performance and advantages over standalone hardware-based fuel control systems typically used in the application.
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Kubik, Kyle, Austin Gurley, David Beale, and Amanda Skalitzky. "Linear Parameter Varying Modeling and Estimation of a SMA Wire Actuator." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/smasis2018-8121.

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Shape Memory Alloys (SMAs) actuators operate via a nonlinear and hysteretic relationship between input power and mechanical motion. This nonlinearity presents a serious challenge when developing methods for controlling these actuators. Because this hysteresis and nonlinearity is caused by the crystal phase transformation however, the SMA constitutive and kinetic models can be written in Linear Parameter Varying (LPV) form, with the partial derivative of crystal phase fraction with respect to temperature as the varying parameter. This allows a SMA system to be written in a state-space format wh
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Catania, Giuseppe, and Silvio Sorrentino. "Experimental Identification of a Fractional Derivative Linear Model for Viscoelastic Materials." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85725.

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Non integer, fractional order derivative rheological models are known to be very effective in describing the linear viscoelastic dynamic behaviour of mechanical structures made of polymers [1]. The application of fractional calculus to viscoelasticity can be physically consistent [2][3][4] and the resulting non integer order differential stress-strain constitutive relation provides good curve fitting properties, requires only a few parameters and leads to causal behaviour [5]. When using such models the solution of direct problems, i.e. the evaluation of time or frequency response from a known
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Wang, Dong, Bin He, and Quanhu Zhang. "Application of Genetic Algorithm in Neutron Spectrum Unfolding." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-29184.

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Bonner Spheres neutron spectrometer has been widely applied as neutron dosimeter, however the derivation of neutron energy spectrum from its measurement data is still a significantly difficult task. This unfolding problem is proved to be ill-posed, under-determined and have no exact solution. Two major require of the unfolding methods are accuracy and stability. Most unfolding methods try to search the solution that best fit the measurement data and the response function. As a universal optimization tool Genetic Algorithm shows its potential to solve this kind of problem. Through gene operatio
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Carlevaro, Fausto, Stefano Cioncolini, Marzia Sepe, et al. "Use of Operating Parameters, Digital Replicas and Models for Condition Monitoring and Improved Equipment Health." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-76849.

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Several operating parameters for the control and protection of the units are acquired by the control and protection systems used in industrial applications. The use of these parameters in conjunction of physical models, empirical models and transfer functions (that represent digital replicas of the engine) allows for a broader scope of condition monitoring, taking into account the wing to wing process which spans from data acquisition to end user actionable insight. This paper describes 3 specific cases: 1) an algorithm based on the performance model of the overall GT used to monitor the axial
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Agrawal, Om P., Md Mehedi Hasan, and X. W. Tangpong. "A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48768.

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Fractional derivatives (FDs) or derivatives of arbitrary order have been used in many applications, and it is envisioned that in future they will appear in many functional minimization problems of practical interest. Since fractional derivatives have such property as being non-local, it can be extremely challenging to find analytical solutions for fractional parametric optimization problems, and in many cases, analytical solutions may not exist. Therefore, it is of great importance to develop numerical methods for such problems. This paper presents a numerical scheme for a linear functional mi
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Reports on the topic "Derivative of function and its application"

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Tamura, E. Fully relativistic surface green function and its application to surface spectroscopies. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/105849.

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