Relevant bibliographies by topics / Partial derivatives

Contents

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

Academic literature on the topic 'Partial derivatives'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 April 2022

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Journal articles on the topic "Partial derivatives"

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Pandey, Shikha, Dragan Obradovic, Lakshmi Narayan Mishra, and Vishnu Narayan Mishra. "Second Order Partial Derivatives." JOURNAL OF ADVANCES IN MATHEMATICS 20 (September 8, 2021): 419–23. http://dx.doi.org/10.24297/jam.v20i.9097.

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The rules for calculating partial derivatives and differentials are the same as for calculating the derivative of a function of one variable, except that when finding partial derivatives per one variable, the other variables are considered as constants
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Yu, Chii Huei. "Using Maple to Study the Partial Differential Problems." Applied Mechanics and Materials 479-480 (December 2013): 800–804. http://dx.doi.org/10.4028/www.scientific.net/amm.479-480.800.

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This paper uses the mathematical software Maple for the auxiliary tool to study the partial differential problem of two types of multivariable functions. We can obtain the infinite series forms of any order partial derivatives of these two types of multivariable functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order partial derivative values. On the other hand, we propose two examples of multivariable functions to evaluate their any order partial derivatives, and some of their higher order partial derivative values practically. At the same time, we employ Maple to calculate the approximations of these higher order partial derivative values and their infinite series forms for verifying our answers.
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Attou, Samira, Ludovic Mignot, and Djelloul Ziadi. "Bottom-Up derivatives of tree expressions." RAIRO - Theoretical Informatics and Applications 55 (2021): 4. http://dx.doi.org/10.1051/ita/2021008.

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In this paper, we extend the notion of (word) derivatives and partial derivatives due to (respectively) Brzozowski and Antimirov to tree derivatives using already known inductive formulae of quotients. We define a new family of extended regular tree expressions (using negation or intersection operators), and we show how to compute a Brzozowski-like inductive tree automaton; the fixed point of this construction, when it exists, is the derivative tree automaton. Such a deterministic tree automaton can be used to solve the membership test efficiently: the whole structure is not necessarily computed, and the derivative computations can be performed in parallel. We also show how to solve the membership test using our (Bottom-Up) partial derivatives, without computing an automaton.
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Dalík, Josef. "Operators approximating partial derivatives at vertices of triangulations by averaging." Mathematica Bohemica 135, no. 4 (2010): 363–72. http://dx.doi.org/10.21136/mb.2010.140827.

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Progri, Ilir F. "Hypergeometric Function Partial Derivatives." Journal of Geolocation, Geo-information and Geo-intelligence 2016, no. 1 (2016): 53. http://dx.doi.org/10.18610/jg3.2016.071604.

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Ojha, Bhuwan Prasad. "Different Concepts of Derivatives." Journal of Advanced College of Engineering and Management 3 (January 10, 2018): 11. http://dx.doi.org/10.3126/jacem.v3i0.18809.

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<p>In this paper, different concept of derivatives with some properties has been introduced. In differential calculus, the partial derivative, directional derivative and total derivative are studied. Their generalization for Banach spaces are the Gateaux differential and Freshet derivative.</p><p><strong>Journal of Advanced College of Engineering and Management,</strong> Vol.3, 2017, Page: 11-14</p>
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Li, Changpin, Deliang Qian, and YangQuan Chen. "On Riemann-Liouville and Caputo Derivatives." Discrete Dynamics in Nature and Society 2011 (2011): 1–15. http://dx.doi.org/10.1155/2011/562494.

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Recently, many models are formulated in terms of fractional derivatives, such as in control processing, viscoelasticity, signal processing, and anomalous diffusion. In the present paper, we further study the important properties of the Riemann-Liouville (RL) derivative, one of mostly used fractional derivatives. Some important properties of the Caputo derivative which have not been discussed elsewhere are simultaneously mentioned. The partial fractional derivatives are also introduced. These discussions are beneficial in understanding fractional calculus and modeling fractional equations in science and engineering.
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Baksa, Vita, Andriy Bandura, and Oleh Skaskiv. "Analogs of Hayman’s Theorem and of logarithmic criterion for analytic vector-valued functions in the unit ball having bounded L-index in joint variables." Mathematica Slovaca 70, no. 5 (October 27, 2020): 1141–52. http://dx.doi.org/10.1515/ms-2017-0420.

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AbstractIn this paper, we present necessary and sufficient conditions of boundedness of L-index in joint variables for vector-valued functions analytic in the unit ball $\begin{array}{} \mathbb{B}^2\! = \!\{z\!\in\!\mathbb{C}^2: |z|\! = \!\small\sqrt{|z_1|^2+|z_2|^2}\! \lt \! 1\}, \end{array} $ where L = (l1, l2): 𝔹2 → $\begin{array}{} \mathbb{R}^2_+ \end{array} $ is a positive continuous vector-valued function.Particularly, we deduce analog of Hayman’s theorem for this class of functions. The theorem shows that in the definition of boundedness of L-index in joint variables for vector-valued functions we can replace estimate of norms of all partial derivatives by the estimate of norm of (p + 1)-th order partial derivative. This form of criteria could be convenient to investigate analytic vector-valued solutions of system of partial differential equations because it allow to estimate higher-order partial derivatives by partial derivatives of lesser order. Also, we obtain sufficient conditions for index boundedness in terms of estimate of modulus of logarithmic derivative in each variable for every component of vector-valued function outside some exceptional set by the vector-valued function L(z).
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Wu, Wang, Su, and Zhang. "A MATLAB Package for Calculating Partial Derivatives of Surface-Wave Dispersion Curves by a Reduced Delta Matrix Method." Applied Sciences 9, no. 23 (November 30, 2019): 5214. http://dx.doi.org/10.3390/app9235214.

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Various surface-wave exploration methods have become increasingly important tools in investigating the properties of subsurface structures. Inversion of the experimental dispersion curves is generally an indispensable component of these methods. Accurate and reliable calculation of partial derivatives of surface-wave dispersion curves with respect to parameters of subsurface layers is critical to the success of these approaches if the linearized inversion strategies are adopted. Here we present an open-source MATLAB package, named SWPD (Surface Wave Partial Derivative), for modeling surface-wave (both Rayleigh- and Love-wave) dispersion curves (both phase and group velocity) and particularly for computing their partial derivatives with high precision. The package is able to compute partial derivatives of phase velocity and of Love-wave group velocity analytically based on the combined use of the reduced delta matrix theory and the implicit function theorem. For partial derivatives of Rayleigh-wave group velocity, a hemi-analytical method is presented, which analytically calculates all the first-order partial differentiations and approximates the mixed second-order partial differentiation term with a central difference scheme. We provide examples to demonstrate the effectiveness of this package, and demo scripts are also provided for users to reproduce all results of this paper and thus to become familiar with the package as quickly as possible.
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Champarnaud, J. M., and D. Ziadi. "Canonical derivatives, partial derivatives and finite automaton constructions." Theoretical Computer Science 289, no. 1 (October 2002): 137–63. http://dx.doi.org/10.1016/s0304-3975(01)00267-5.

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Dissertations / Theses on the topic "Partial derivatives"

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Nhangumbe, Clarinda Vitorino. "Lie Analysis for Partial Differential Equations in Finance." Master's thesis, Faculty of Science, 2019. https://hdl.handle.net/11427/31817.

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Weather derivatives are financial tools used to manage the risks related to changes in the weather and are priced considering weather variables such as rainfall, temperature, humidity and wind as the underlying asset. Some recent researches suggest to model the amount of rainfall by considering the mean reverting processes. As an example, the Ornstein Uhlenbeck process was proposed by Allen [3] to model yearly rainfall and by Unami et al. [52] to model the irregularity of rainfall intensity as well as duration of dry spells. By using the Feynman-Kac theorem and the rainfall indexes we derive the partial differential equations (PDEs) that governs the price of an European option. We apply the Lie analysis theory to solve the PDEs, we provide the group classification and use it to find the invariant analytical solutions, particularly the ones compatible with the terminal conditions.
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Bujok, Karolina Edyta. "Numerical solutions to a class of stochastic partial differential equations arising in finance." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:d2e76713-607b-4f26-977a-ac4df56d54f2.

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We propose two alternative approaches to evaluate numerically credit basket derivatives in a N-name structural model where the number of entities, N, is large, and where the names are independent and identically distributed random variables conditional on common random factors. In the first framework, we treat a N-name model as a set of N Bernoulli random variables indicating a default or a survival. We show that certain expected functionals of the proportion LN of variables in a given state converge at rate 1/N as N [right arrow - infinity]. Based on these results, we propose a multi-level simulation algorithm using a family of sequences with increasing length, to obtain estimators for these expected functionals with a mean-square error of epsilon 2 and computational complexity of order epsilon−2, independent of N. In particular, this optimal complexity order also holds for the infinite-dimensional limit. Numerical examples are presented for tranche spreads of basket credit derivatives. In the second framework, we extend the approximation of Bush et al. [13] to a structural jump-diffusion model with discretely monitored defaults. Under this approach, a N-name model is represented as a system of particles with an absorbing boundary that is active in a discrete time set, and the loss of a portfolio is given as the function of empirical measure of the system. We show that, for the infinite system, the empirical measure has a density with respect to the Lebesgue measure that satisfies a stochastic partial differential equation. Then, we develop an algorithm to efficiently estimate CDO index and tranche spreads consistent with underlying credit default swaps, using a finite difference simulation for the resulting SPDE. We verify the validity of this approximation numerically by comparison with results obtained by direct Monte Carlo simulation of the basket constituents. A calibration exercise assesses the flexibility of the model and its extensions to match CDO spreads from precrisis and crisis periods.
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Oladiran, Oladun Solomon, and Scott J. KIrkby. "Computational Studies of the Spin Trapping Behavior of Melatonin and its Derivatives." Digital Commons @ East Tennessee State University, 2019. https://dc.etsu.edu/asrf/2019/schedule/186.

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The presence of excess free radicals in the body can result in severe health consequences because of oxidative damage to cells. Spin traps may be used as a probe to examine radical reactions in cells, but there is a need for less toxic and more lipid soluble examples. Melatonin is one of the numerous antioxidants used to scavenge free radicals in the body and reportedly one of the most efficient radical scavengers known. It is relatively nontoxic and easily crosses the lipid bilayer in cell membranes. Melatonin is thought to undergo a multistep oxidation process and this work investigates the potential for it to be used as a spin trap. The presence of electron withdrawing or donating groups added to melatonin may stabilize an intermediate and allow it to function as a spin trap. The essence of this study is to conduct a computational inquiry into the relative stability of melatonin, selected derivatives, and the partial oxidation products formed from the scavenging of hydroxyl radical. To determine this, geometries were optimized for each molecule at the DFT/B3LYP/6-31G(d) and HF/6-31G(d) levels of theory.
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Guimarães, Pedro Henrique Engel. "Uma resenha sobre modelos de apreçamento de derivativos." reponame:Repositório Institucional do FGV, 2012. http://hdl.handle.net/10438/10298.

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I present here an approach that unify a variety of derivative pricing models that consists of attaining a Partial Differential Equation(PDE) by intuitive arguments and give its solution by Feynman-Kac method as a conditinal expectation of a markovian process. The expectation is taken in a risk neutral world(or risk neutral measure) where all the assets grow at the risk free rate. I also present how to make this specific change of measure, connecting the real world to the risk neutral world, and show that the relevant element for the measure change is the market price of factor risk. When the market is complete the market price of risk is unique and when the market is incomplete there is a variety of possible prices to the market price of factor risks that satisfy no arbitrage arguments. In the latter case the parameters are usually chosen to calibrate the model to market data.
Apresento aqui uma abordagem que unifica a literatura sobre os vários modelos de apreçamento de derivativos que consiste em obter por argumentos intuitivos de não arbitragem uma Equação Diferencial Parcial(EDP) e através do método de Feynman-Kac uma solução que é representada por uma esperança condicional de um processo markoviano do preço do derivativo descontado pela taxa livre de risco. Por este resultado, temos que a esperança deve ser tomada com relação a processos que crescem à taxa livre de risco e por este motivo dizemos que a esperança é tomada em um mundo neutro ao risco(ou medida neutra ao risco). Apresento ainda como realizar uma mudança de medida pertinente que conecta o mundo real ao mundo neutro ao risco e que o elemento chave para essa mudança de medida é o preço de mercado dos fatores de risco. No caso de mercado completo o preço de mercado do fator de risco é único e no caso de mercados incompletos existe uma variedade de preços aceitáveis para os fatores de risco pelo argumento de não arbitragem. Neste último caso, os preços de mercado são geralmente escolhidos de forma a calibrar o modelo com os dados de mercado.
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Valenta, Václav. "Moderní metody řešení eliptických parciálních diferenciálních rovnic." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2009. http://www.nusl.cz/ntk/nusl-236712.

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Partial differential equations solution and methods for transformation to a large sets of ordinary equations is described in this work. Taylor series method is important for this work. This method needs higher derivatives for correct work. Ways how to compute higher derivatives are also discused in this work.
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Rosa, Vitor Sales Dias da. "Análise de sensibilidade topológica do modelo de flexão de placas de Reissner-Mindlin." Laboratório Nacional de Computação Científica, 2015. https://tede.lncc.br/handle/tede/222.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (Capes)
The topological derivative concept has been proved to be useful in many relevant applications such as topology optimization, inverse problems, image processing, multi-scale constitutive modeling, fracture mechanics and damage evolution modeling. The topological asymptotic analysis has been fully developed for a wide range of problems modeled by partial di erential equations. On the other hand, the topological derivatives associated with coupled problems have been derived only in their abstract forms. In this paper, therefore, we deal with the Reissner-Mindlin plate bending model, which is written in the form of a coupled system of partial di erential equations. In particular, the topological asymptotic analysis of the associated total potential energy is developed and the topological derivative with respect to the nucleation of a circular inclusion is derived in its closed form.Finally, we provide the estimates for the remainders of the topological asymptotic expansion and perform a complete mathematical justi cation for the derived formulas.
O conceito de derivada topológica tem se mostrado útil em muitas aplicações, tais como otimização topológica, problemas inversos, processamento de imagens, modelagem constitutiva multi-escala, mecânica da fratura e modelagem da evolução de dano. A análise assintótica topológica foi amplamente desenvolvida para uma grande variedade de problemas modelados por equações diferenciais parciais. Por outro lado, a derivada topológica associada a problemas acoplados é conhecida apenas em sua forma abstrata. Neste trabalho, portanto, considera-se o modelo de flexão de placa de Reissner-Mindlin, que é escrito na forma de um sistema acoplado de equações diferenciais parciais. Em particular, a análise assintótica topológica da energia potencial total associada é desenvolvida e a derivada topológica com relação a nucleação de uma inclusão circular é obtida na sua forma fechada. Finalmente, os resíduos da expansão assintótica topológica são estimados e uma justificativa matemática completa para a derivada topológica é apresentada.
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Varner, Christopher Champion. "DGPS carrier phase networks and partial derivative algorithms." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0027/NQ49546.pdf.

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Önskog, Thomas. "The Skorohod problem and weak approximation of stochastic differential equations in time-dependent domains." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-25429.

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This thesis consists of a summary and four scientific articles. All four articles consider various aspects of stochastic differential equations and the purpose of the summary is to provide an introduction to this subject and to supply the notions required in order to fully understand the articles. In the first article we conduct a thorough study of the multi-dimensional Skorohod problem in time-dependent domains. In particular we prove the existence of cádlág solutions to the Skorohod problem with oblique reflection in time-independent domains with corners. We use this existence result to construct weak solutions to stochastic differential equations with oblique reflection in time-dependent domains. In the process of obtaining these results we also establish convergence results for sequences of solutions to the Skorohod problem and a number of estimates for solutions, with bounded jumps, to the Skorohod problem. The second article considers the problem of determining the sensitivities of a solution to a second order parabolic partial differential equation with respect to perturbations in the parameters of the equation. We derive an approximate representation of the sensitivities and an estimate of the discretization error arising in the sensitivity approximation. We apply these theoretical results to the problem of determining the sensitivities of the price of European swaptions in a LIBOR market model with respect to perturbations in the volatility structure (the so-called ‘Greeks’). The third article treats stopped diffusions in time-dependent graph domains with low regularity. We compare, numerically, the performance of one adaptive and three non-adaptive numerical methods with respect to order of convergence, efficiency and stability. In particular we investigate if the performance of the algorithms can be improved by a transformation which increases the regularity of the domain but, at the same time, reduces the regularity of the parameters of the diffusion. In the fourth article we use the existence results obtained in Article I to construct a projected Euler scheme for weak approximation of stochastic differential equations with oblique reflection in time-dependent domains. We prove theoretically that the order of convergence of the proposed algorithm is 1/2 and conduct numerical simulations which support this claim.
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Leonhard, Claudine [Verfasser]. "Derivative-free numerical schemes for stochastic partial differential equations / Claudine Leonhard." Lübeck : Zentrale Hochschulbibliothek Lübeck, 2017. http://d-nb.info/1135168091/34.

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Liu, Boan. "Analytical approximationof the solution of ordinary and partial derivative equations with artificial neural networks." Toulouse 3, 2000. http://www.theses.fr/2000TOU30225.

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Books on the topic "Partial derivatives"

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Mashreghi, Javad. Derivatives of Inner Functions. New York, NY: Springer New York, 2013.

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D, Beritić-Stahuljak, Valic F, World Health Organization, and United Nations Environment Programme, eds. Partially halogenated chlorofluorocarbons (methane derivatives). Geneva: World Health Organization, 1991.

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The oblique derivative problem: The Poincaré-problem. Berlin: Wiley-VCH, 2000.

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V, Uspenskiĭ S., ed. Partial differential equations and systems not solvable with respect to the highest-order derivative. New York: Marcel Dekker, 2003.

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Berman, Donald. Inactivation of particle-associated coliforms by chlorine and monochloramine. [Washington, D.C.?: U.S. Environmental Protection Agency, 1988.

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Berman, Donald. Inactivation of particle-associated coliforms by chlorine and monochloramine. [Washington, D.C.?: U.S. Environmental Protection Agency, 1988.

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Berman, Donald. Inactivation of particle-associated coliforms by chlorine and monochloramine. [Washington, D.C.?: U.S. Environmental Protection Agency, 1988.

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Berman, Donald. Inactivation of particle-associated coliforms by chlorine and monochloramine. [Washington, D.C.?: U.S. Environmental Protection Agency, 1988.

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Berman, Donald. Inactivation of particle-associated coliforms by chlorine and monochloramine. [Washington, D.C.?: U.S. Environmental Protection Agency, 1988.

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Berman, Donald. Inactivation of particle-associated coliforms by chlorine and monochloramine. [Washington, D.C.?: U.S. Environmental Protection Agency, 1988.

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Book chapters on the topic "Partial derivatives"

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Sydsæter, Knut, Arne Strøm, and Peter Berck. "Partial derivatives." In Economists’ Mathematical Manual, 27–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-28518-2_4.

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Dineen, Seán. "Partial Derivatives." In Functions of Two Variables, 8–13. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-3250-1_2.

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Vince, John. "Partial Derivatives." In Calculus for Computer Graphics, 81–91. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11376-6_6.

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Sydsæter, Knut, Arne Strøm, and Peter Berck. "Partial derivatives." In Economists’ Mathematical Manual, 25–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03995-3_4.

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Berck, Peter, and Knut Sydsæter. "Partial derivatives." In Economists’ Mathematical Manual, 13–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-11597-8_3.

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Berck, Peter, and Knut Sydsæter. "Partial derivatives." In Economists’ Mathematical Manual, 13–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02678-6_3.

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Vince, John. "Partial Derivatives." In Calculus for Computer Graphics, 75–85. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5466-2_6.

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Protter, Murray H., and Charles B. Morrey. "Partial Derivatives. Applications." In Intermediate Calculus, 197–294. New York, NY: Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-1086-3_4.

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Körner, T. "Traditional partial derivatives." In Graduate Studies in Mathematics, 377–81. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/gsm/062/19.

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Bogaevski, V. N., and A. Povzner. "Equations in Partial Derivatives." In Applied Mathematical Sciences, 195–258. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4438-7_5.

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Conference papers on the topic "Partial derivatives"

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Roundy, David J., Eric Weber, Grant Sherer, and Corinne A. Manogue. "Experts' Understanding of Partial Derivatives Using the Partial Derivative Machine." In 2014 Physics Education Research Conference. American Association of Physics Teachers, 2015. http://dx.doi.org/10.1119/perc.2014.pr.053.

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Rust, C. J., and G. J. Reid. "Rankings of partial derivatives." In the 1997 international symposium. New York, New York, USA: ACM Press, 1997. http://dx.doi.org/10.1145/258726.258737.

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Emigh, Paul J., and Corinne A. Manogue. "Student Interpretations of Partial Derivatives." In 2017 Physics Education Research Conference. American Association of Physics Teachers, 2018. http://dx.doi.org/10.1119/perc.2017.pr.025.

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Müller, Andreas. "Closed Form Expressions for Higher Derivatives of Screw Systems." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12836.

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A central element in the kinematic analysis is the determination of partial derivatives of the twist of a member in a serial kinematic chain with respect to the joint parameters (angles, translations). This requires partial derivatives of the screw system, generated by a given ordered set of joint screws. While the closed form expression of first and second order derivatives are widely known in terms of screw products, and even the derivatives up to fifth order have been reported, a general closed form expression for derivatives of arbitrary order remained an open issue. Such a closed form expression of partial derivatives of the joint screws for any order is reported in this paper. The final result for the n-th partial derivative involves n-fold nested Lie bracket (screw products) of the joint screws. The crucial observation that gives rise to the closed form expression is that the derivative is given as a sum of terms with complementary joint index ranges.
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Sakhaee, Elham, and Alireza Entezari. "Sparse partial derivatives and reconstruction from partial Fourier data." In ICASSP 2015 - 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2015. http://dx.doi.org/10.1109/icassp.2015.7178646.

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Arora, Nitin, Ryan P. Russell, and Nathan J. Strange. "Partial Derivatives of the Lambert Problem." In AIAA/AAS Astrodynamics Specialist Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-4427.

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Thompson, John R., Corinne A. Manogue, David J. Roundy, Donald B. Mountcastle, N. Sanjay Rebello, Paula V. Engelhardt, and Chandralekha Singh. "Representations of partial derivatives in thermodynamics." In 2011 PHYSICS EDUCATION RESEARCH CONFERENCE. AIP, 2012. http://dx.doi.org/10.1063/1.3680000.

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Forbes, Michael A. "Deterministic Divisibility Testing via Shifted Partial Derivatives." In 2015 IEEE 56th Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2015. http://dx.doi.org/10.1109/focs.2015.35.

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Chen, Wenxiang, Darrell Whitley, Doug Hains, and Adele Howe. "Second order partial derivatives for NK-landscapes." In Proceeding of the fifteenth annual conference. New York, New York, USA: ACM Press, 2013. http://dx.doi.org/10.1145/2463372.2463437.

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Nakamura, Yoshiki. "Partial derivatives on graphs for Kleene allegories." In 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2017. http://dx.doi.org/10.1109/lics.2017.8005132.

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Reports on the topic "Partial derivatives"

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Skolnik, Merrill I. Radar Information from the Partial Derivatives of the Echo Signal Phase from a Point Scatterer. Fort Belvoir, VA: Defense Technical Information Center, February 1988. http://dx.doi.org/10.21236/ada193402.

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Chen, Victor C. Glint Errors Derived from the Partial Derivatives of the Echo Signal Phase for a Distributed Scatterer. Fort Belvoir, VA: Defense Technical Information Center, May 1992. http://dx.doi.org/10.21236/ada249499.

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Ostashev, Vladimir, Michael Muhlestein, and D. Wilson. Extra-wide-angle parabolic equations in motionless and moving media. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/42043.

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Abstract:
Wide-angle parabolic equations (WAPEs) play an important role in physics. They are derived by an expansion of a square-root pseudo-differential operator in one-way wave equations, and then solved by finite-difference techniques. In the present paper, a different approach is suggested. The starting point is an extra-wide-angle parabolic equation (EWAPE) valid for small variations of the refractive index of a medium. This equation is written in an integral form, solved by a perturbation technique, and transformed to the spectral domain. The resulting split-step spectral algorithm for the EWAPE accounts for the propagation angles up to 90° with respect to the nominal direction. This EWAPE is also generalized to large variations in the refractive index. It is shown that WAPEs known in the literature are particular cases of the two EWAPEs. This provides an alternative derivation of the WAPEs, enables a better understanding of the underlying physics and ranges of their applicability, and opens an opportunity for innovative algorithms. Sound propagation in both motionless and moving media is considered. The split-step spectral algorithm is particularly useful in the latter case since complicated partial derivatives of the sound pressure and medium velocity reduce to wave vectors (essentially, propagation angles) in the spectral domain.
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Diebold, Francis, and Minchul Shin. Machine Learning for Regularized Survey Forecast Combination: Partially-Egalitarian Lasso and its Derivatives. Cambridge, MA: National Bureau of Economic Research, August 2018. http://dx.doi.org/10.3386/w24967.

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