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Добірка наукової літератури з теми "Taylors formula"

Автор: Grafiati

Опубліковано: 28 травня 2022

Оновлено: 31 липня 2025

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Статті в журналах з теми "Taylors formula"

1

Ma, Lin. "The Taylor's Theorem and Its Application." Highlights in Science, Engineering and Technology 72 (December 15, 2023): 1368–72. http://dx.doi.org/10.54097/98knf072.

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Taylor's theorem is an essential concept in calculus. By constructing polynomials, Taylor's formula can simplify calculations by approximating complex functions so that a variety of functions can be analyzed in detail. This paper explores the form and proof of Taylor's theorem based on Peano and Lagrange remainder forms as well as the Polynomial interpolation. Then, examples of the application of Taylor’s theorem in mathematics fields, such as limit calculation and high-order derivatives computation, are discussed. Additionally, the applications of Taylor’s theorem in other related subjects ar

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2

Aftab, Muhammad Nasim, Saad Ihsan Butt, and Youngsoo Seol. "Fundamentals of Dual Basic Symmetric Quantum Calculus and Its Fractional Perspectives." Fractal and Fractional 9, no. 4 (2025): 237. https://doi.org/10.3390/fractalfract9040237.

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Taylor expansion is a remarkable tool with broad applications in analysis, science, engineering, and mathematics. In this manuscript, we derive a proof of generalized Taylor expansion for polynomials and write its particular case in symmetric quantum calculus. In addition, we define a novel type of calculus that is called symmetric (p,q)- or dual basic symmetric quantum calculus. Moreover, we derive a symmetric (p,q)-Taylor expansion for polynomials based on this calculus. After that, we investigate Taylor’s formulae through an example. Furthermore, we define symmetric definite (p,q)-integral

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3

Pan, Levi Yiwei. "The Application of Taylor formula in Limits and Approximation." Highlights in Science, Engineering and Technology 72 (December 15, 2023): 891–98. http://dx.doi.org/10.54097/a2nzcd87.

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In higher mathematics, the extremely significant content is Taylor’s formula. Simple polynomial functions can be translated from complex functions by this formula. The Taylor formula can be seen as a useful tool to analyze and study many problems in mathematics because of its ability to reduce complexity. The Taylor Formula is an essential mathematical process for solving some problems about limits and approximation and has a unique advantage in rough calculation. The Taylor formula is an important tool in calculus, as it can transform nonlinear problems into linear ones with high accuracy. Th

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4

Wu, Jiacheng. "Application of Taylor Expansion on Calculating Functions." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 464–69. http://dx.doi.org/10.54097/28kn1016.

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Анотація:

The Taylor formula, which approximates some complicated functions as straightforward polynomial functions, is a crucial concept in advanced mathematics. It is an effective tool for studying and analyzing various mathematical topics because of its ability to reduce complexity. The "approximation method" of calculus is embodied in the Taylor formula, which also offers special advantages for approximation calculations. Taylor's formula has significant applications in all areas of calculus because it can accurately convert nonlinear issues into linear problems. The Taylor formula can be used to de

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5

Chaskalovic, Joel, and Hessam Jamshidipour. "A New First Order Expansion Formula with a Reduced Remainder." Axioms 11, no. 10 (2022): 562. http://dx.doi.org/10.3390/axioms11100562.

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Анотація:

This paper is devoted to a new first order Taylor-like formula, where the corresponding remainder is strongly reduced in comparison with the usual one, which appears in the classical Taylor’s formula. To derive this new formula, we introduce a linear combination of the first derivative of the concerned function, which is computed at n+1 equally spaced points between the two points, where the function has to be evaluated. We show that an optimal choice of the weights in the linear combination leads to minimizing the corresponding remainder. Then, we analyze the Lagrange P1- interpolation error

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6

Zhao, Junzhi. "A generalization of the Taylor's theorem." Highlights in Science, Engineering and Technology 72 (December 15, 2023): 885–90. http://dx.doi.org/10.54097/f196n869.

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Анотація:

In mathematics, Taylor's theorem is a formula that uses the information of a function to describe its proximity to a point. If the function is smooth enough, the conductive values can be used to construct a multiform to approximate the the function in the neighboring area of that point, which can even be extended to the convergence radius of the scale. Taylor’s theorem also gives the deviation between this multiform and the actual function value. The essay includes the proof and application of Taylor’s theorem and the Taylor’s theorem in multivariate functions. Special functions are set with u

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7

Odibat, Zaid M., and Nabil T. Shawagfeh. "Generalized Taylor’s formula." Applied Mathematics and Computation 186, no. 1 (2007): 286–93. http://dx.doi.org/10.1016/j.amc.2006.07.102.

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8

Anastassiou, George A. "Distributional Taylor formula." Nonlinear Analysis: Theory, Methods & Applications 70, no. 9 (2009): 3195–202. http://dx.doi.org/10.1016/j.na.2008.04.022.

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9

AGLIĆ ALJINOVIĆ, A., J. PEČARIĆ, and M. RIBIČIĆ PENAVA. "SHARP INTEGRAL INEQUALITIES BASED ON GENERAL TWO-POINT FORMULAE VIA AN EXTENSION OF MONTGOMERY’S IDENTITY." ANZIAM Journal 51, no. 1 (2009): 67–101. http://dx.doi.org/10.1017/s1446181109000315.

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AbstractWe consider families of general two-point quadrature formulae, using the extension of Montgomery’s identity via Taylor’s formula. The formulae obtained are used to present a number of inequalities for functions whose derivatives are fromLpspaces and Bullen-type inequalities.

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10

Pečarić, J., and M. Ribičić Penava. "Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/343191.

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We consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor’s formula. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to spaces. Generalizations of Simpson’s 3/8 formula and the Lobatto four-point formula with related inequalities are considered as special cases.

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Дисертації з теми "Taylors formula"

1

Маслов, Олександр Петрович, Александр Петрович Маслов, Oleksandr Petrovych Maslov та А. В. Клименко. "Многоточечная формула Тейлора". Thesis, Издательство СумГУ, 2011. http://essuir.sumdu.edu.ua/handle/123456789/8138.

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2

Pignotti, Michele. "Taylor formula for Kolmogorov equations." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7461/.

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Анотація:

After briefly discuss the natural homogeneous Lie group structure induced by Kolmogorov equations in chapter one, we define an intrinsic version of Taylor polynomials and Holder spaces in chapter two. We also compare our definition with others yet known in literature. In chapter three we prove an analogue of Taylor formula, that is an estimate of the remainder in terms of the homogeneous metric.

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3

Hanna, George T. "Cubature rules from a generalized Taylor perspective." full-text, 2009. http://eprints.vu.edu.au/1922/1/hanna.pdf.

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The accuracy and efficiency of computing multiple integrals is a very important problem that arises in many scientific, financial and engineering applications. The research conducted in this thesis is designed to build on past work and develop and analyze new numerical methods to evaluate double integrals efficiently. The fundamental aim is to develop and assess techniques for (numerically) evaluating double integrals with high accuracy. The general approach presented in this thesis involves the development of new multivariate approximations from a generalaised Taylor perspective in terms of A

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4

Santos, Janio Cesar Alencar dos. "O método de Newton-Raphson na solução da equação 2 x = x 2: uma motivação para o estudo da existência de logaritmo de números negativos." Universidade Federal de Goiás, 2018. http://repositorio.bc.ufg.br/tede/handle/tede/8756.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2018-08-01T12:22:33Z No. of bitstreams: 2 Dissertação - Janio Cesar Alencar dos Santos - 2018.pdf: 1167560 bytes, checksum: cba31dafa5c96d61d508fb8034159563 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-08-01T13:39:27Z (GMT) No. of bitstreams: 2 Dissertação - Janio Cesar Alencar dos Santos - 2018.pdf: 1167560 bytes, checksum: cba31dafa5c96d61d508fb8034159563 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e

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Hanna, George T. "Cubature rules from a generalized Taylor perspective." Thesis, full-text, 2009. https://vuir.vu.edu.au/1922/.

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Анотація:

The accuracy and efficiency of computing multiple integrals is a very important problem that arises in many scientific, financial and engineering applications. The research conducted in this thesis is designed to build on past work and develop and analyze new numerical methods to evaluate double integrals efficiently. The fundamental aim is to develop and assess techniques for (numerically) evaluating double integrals with high accuracy. The general approach presented in this thesis involves the development of new multivariate approximations from a generalaised Taylor perspective in terms o

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6

Mwangota, Lutufyo. "Cubature on Wiener Space for the Heath--Jarrow--Morton framework." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-42804.

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This thesis established the cubature method developed by Gyurkó & Lyons (2010) and Lyons & Victor (2004) for the Heath–Jarrow–Morton (HJM) model. The HJM model was first proposed by Heath, Jarrow, and Morton (1992) to model the evolution of interest rates through the dynamics of the forward rate curve. These dynamics are described by an infinite-dimensional stochastic equation with the whole forward rate curve as a state variable. To construct the cubature method, we first discretize the infinite dimensional HJM equation and thereafter apply stochastic Taylor expansion to obtain cubatu

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7

Гонтаренко, Д. М. "Чисельне дослідження взаємодії особливостей різного типу для задачі згину пластини". Master's thesis, Сумський державний університет, 2019. http://essuir.sumdu.edu.ua/handle/123456789/73842.

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Анотація:

Отримано розрахунки напружено-деформованого стану тонкостінної пластинки з частково защемленим краєм і тріщиною. Проведено дослідження взаємодії особливостей які виникають в точці зміни крайових умов та у вершині тріщини.

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8

Tasson, Christine. "SÉMANTIQUES ET SYNTAXES VECTORIELLES DE LA LOGIQUE LINÉAIRE." Phd thesis, Université Paris-Diderot - Paris VII, 2009. http://tel.archives-ouvertes.fr/tel-00440752.

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Avec les espaces de finitude, Ehrhard a exhibé une sémantique de la logique linéaire contenant une opération de différentiation. Dans ce cadre, l'interprétation des formules est décomposable en séries de Taylor. Cette étude a engendré des syntaxes différentielles. Cette thèse de sémantique dénotationnelle prolonge ce travail par une exploration de sémantiques vectorielles de la logique linéaire, et contribue à l'étude sémantique et syntaxique de la formule de Taylor. La première partie aborde la sémantique. Nous présentons l'interprétation des constructions de la logique linéaire dans les espa

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9

Du, Plessis Irma. "Narrating the "nation" : cultural production, political community and young Afrikaans readers." Thesis, University of Pretoria, 2004. http://hdl.handle.net/2263/28861.

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This study explores the relationship between literature and society against the background of the emergence in the 1930s and 1940s in South Africa of a form of Afrikaner nationalism that was spearheaded by members of the Afrikaner petty bourgeoisie and intelligentsia and a subsequent expansion in Afrikaans literary production. It addresses problems of explanation in Afrikaner nationalism by focusing attention on the question of culture, the field of imagination and the domain of everyday life. In particular, the study examines the Keurboslaan series - a series of schoolboy stories aimed at juv

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10

Sehnalová, Pavla. "Stabilita a konvergence numerických výpočtů." Doctoral thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2011. http://www.nusl.cz/ntk/nusl-261248.

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Tato disertační práce se zabývá analýzou stability a konvergence klasických numerických metod pro řešení obyčejných diferenciálních rovnic. Jsou představeny klasické jednokrokové metody, jako je Eulerova metoda, Runge-Kuttovy metody a nepříliš známá, ale rychlá a přesná metoda Taylorovy řady. V práci uvažujeme zobecnění jednokrokových metod do vícekrokových metod, jako jsou Adamsovy metody, a jejich implementaci ve dvojicích prediktor-korektor. Dále uvádíme generalizaci do vícekrokových metod vyšších derivací, jako jsou např. Obreshkovovy metody. Dvojice prediktor-korektor jsou často implement

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Книги з теми "Taylors formula"

1

Riestra, J. A. A generalized Taylor's formula for functions of several variables and certain of its applications. Longman, 1995.

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2

A Generalized Taylors Formula For Functions Of Several Variables And Certain Of Its Applications. CRC Press, 1995.

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3

Taylor formula for distributions. Państwowe Wydawn. Nauk., 1988.

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4

Walker, Murray. Murray Walker's Formula One Heroes. Murray Walker & Simon Taylor. Virgin Books, 2011.

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5

Riestra, Jesus-Alfonso. Generalized Taylor's Formula for Functions of Several Variables and Certain of Its Applications. Wiley & Sons, Incorporated, John, 1995.

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6

Riestra, J. A. Generalized Taylor's Formula for Functions of Several Variables and Certain of Its Applications. Taylor & Francis Group, 2021.

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7

Riestra, J. A. Generalized Taylor's Formula for Functions of Several Variables and Certain of Its Applications. Taylor & Francis Group, 2021.

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8

Riestra, J. A. Generalized Taylor's Formula for Functions of Several Variables and Certain of Its Applications. Taylor & Francis Group, 2021.

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9

Riestra, J. A. Generalized Taylor's Formula for Functions of Several Variables and Certain of Its Applications. Taylor & Francis Group, 2021.

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10

Taylor, Stephen George. I Segreti Del Dottor Taylor: Scopri la Formula Pratica per Avere Rapidamente il Benessere, la Bellezza e I Nostri Trucchi per una Sana Cucina. Independently Published, 2019.

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Частини книг з теми "Taylors formula"

1

Lang, Serge. "Taylor’s Formula." In Undergraduate Texts in Mathematics. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4613-0077-9_14.

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2

Lang, Serge. "Taylor’s Formula." In Undergraduate Texts in Mathematics. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4419-8532-3_13.

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3

Kaliuzhnyi-Verbovetskyi, Dmitry, and Victor Vinnikov. "The Taylor-Taylor formula." In Foundations of Free Noncommutative Function Theory. American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/199/04.

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4

Sydsæter, Knut, Arne Strøm, and Peter Berck. "Series. Taylor’s formula." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03995-3_8.

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5

Sydsæter, Knut, Arne Strøm, and Peter Berck. "Series. Taylor’s formula." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-28518-2_8.

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6

Berck, Peter, and Knut Sydsæter. "Series. Taylor formulas." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02678-6_7.

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Berck, Peter, and Knut Sydsæter. "Series. Taylor formulas." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-11597-8_7.

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8

Anastassiou, George A. "Local Fractional Taylor Formula." In Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38636-8_14.

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9

Anastassiou, George A. "Complex Multivariate Taylor Formula." In Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38636-8_29.

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Kac, Victor, and Pokman Cheung. "Generalized Taylor’s Formula for Polynomials." In Quantum Calculus. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4613-0071-7_2.

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Тези доповідей конференцій з теми "Taylors formula"

1

Li, Andong, Shan You, Guochen Yu, Chengshi Zheng, and Xiaodong Li. "Taylor, Can You Hear Me Now? A Taylor-Unfolding Framework for Monaural Speech Enhancement." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/582.

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While the deep learning techniques promote the rapid development of the speech enhancement (SE) community, most schemes only pursue the performance in a black-box manner and lack adequate model interpretability. Inspired by Taylor's approximation theory, we propose an interpretable decoupling-style SE framework, which disentangles the complex spectrum recovery into two separate optimization problems i.e., magnitude and complex residual estimation. Specifically, serving as the 0th-order term in Taylor's series, a filter network is delicately devised to suppress the noise component only in the m

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2

Boi, S., A. Mazzino, and P. Muratore-Ginanneschi. "Taylor-Green-Kubo formula and asymptotic transport of inertial particles." In THMT-18. Turbulence Heat and Mass Transfer 9 Proceedings of the Ninth International Symposium On Turbulence Heat and Mass Transfer. Begellhouse, 2018. http://dx.doi.org/10.1615/thmt-18.1240.

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3

Haifang Wang, Yu Rong, Jinhua Cui, and Shengtao Liu. "Laminar cooling model of hot rolled based on Taylor formula." In 2010 International Conference on Computer Design and Applications (ICCDA 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccda.2010.5541396.

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4

Zhang, Yunong, Ziyu Yin, Huanchang Huang, Huihui Gong, and Huinan Xiao. "ZG control and simulation of helicopter using Taylor-Zhang discretization formula." In 2017 Chinese Automation Congress (CAC). IEEE, 2017. http://dx.doi.org/10.1109/cac.2017.8242792.

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5

Gao, Chang, Yanwen Zhou, and Wensheng Yu. "Formal Verification of Taylor’s Theorem in Coq." In 2023 9th International Conference on Computer and Communications (ICCC). IEEE, 2023. http://dx.doi.org/10.1109/iccc59590.2023.10507412.

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6

Zhu, Yongting, and Ze Zhang. "Research on phase compensation of noise-disturbed signal based on Taylor’s formula." In 2020 39th Chinese Control Conference (CCC). IEEE, 2020. http://dx.doi.org/10.23919/ccc50068.2020.9189091.

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7

Liu, Xianghu, and Yanfang Li. "A Learning Algorithm and Model of Taylor's Formula Based on Functional Network." In 2010 International Conference on Innovative Computing and Communication and 2010 Asia-Pacific Conference on Information Technology and Ocean Engineering. IEEE, 2010. http://dx.doi.org/10.1109/cicc-itoe.2010.101.

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Carmichael, Howard J. "Analytic approximation for Jaynes-Cummings revivals." In OSA Annual Meeting. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.mr18.

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Recent interest in the collapse and revival of Rabi oscillations in the Jaynes-Cummings model was stimulated by a paper in 1980 by Eberly et al.1 These authors presented an analytic expression for the inversion of a two-level atom interacting with a single mode of the radiation field taken to be initially in a coherent state. Their analytic expression agreed well with a numerical evaluation of the standard summation formula for the inversion. Since the publication of this analytic result various discussions of its proof have appeared. Existing versions of the proof all convert the summation fo

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9

Gürvit, Ercan, N. A. Baykara, Metin Demiralp, et al. "Taylor Formula with Remainder Term Evaluated under a Weight Factor at Fluctuationlessness Limit." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637826.

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Qiu, Yuwei, Kaihao Zhang, Chenxi Wang, Wenhan Luo, Hongdong Li, and Zhi Jin. "MB-TaylorFormer: Multi-branch Efficient Transformer Expanded by Taylor Formula for Image Dehazing." In 2023 IEEE/CVF International Conference on Computer Vision (ICCV). IEEE, 2023. http://dx.doi.org/10.1109/iccv51070.2023.01176.

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Звіти організацій з теми "Taylors formula"

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Carson, Lisa. Does public sector leadership differ? Australia and New Zealand School of Government, 2025. https://doi.org/10.54810/flwt3879.

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Анотація:

Does public sector leadership differ? Based on a literature review, this paper provides a high-level synthesis to assist with answering this question. Given the history and nature of academic publishing, it is important to note that the following is predominantly based on western academic literature. There are varying perspectives in the literature (and in practice) about whether and to what extent public sector leadership is different to that of other sectors. Van Wart’s (2013) three theses capture different schools of thought about the extent to which public sector leadership is different (o

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