Relevant bibliographies by topics / The Mean Value Theorem of Differentiation

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Academic literature on the topic 'The Mean Value Theorem of Differentiation'

Author: Grafiati
Published: 7 June 2025
Last updated: 16 July 2025

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Journal articles on the topic "The Mean Value Theorem of Differentiation"

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Raikhola, Sher Singh. "An explorative study on "Differentiation, Rolle's theorem, and the mean value theorem: In Vedic and modern methods." International Journal of Statistics and Applied Mathematics 9, no. 5 (2024): 137–44. http://dx.doi.org/10.22271/maths.2024.v9.i5b.1830.

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Deng, Yashuang, and Yuhui Shi. "An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation." Entropy 23, no. 12 (2021): 1628. http://dx.doi.org/10.3390/e23121628.

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Continuous chaos may collapse in the digital world. This study proposes a method of error compensation for a two-dimensional digital system based on the generalized mean value theorem of differentiation that can restore the fundamental performance of chaotic systems. Different from other methods, the compensation sequence of our method comes from the chaotic system itself and can be applied to higher-dimensional digital chaotic systems. The experimental results show that the improved system is highly consistent with the real chaotic system, and it has excellent chaotic characteristics such as
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BURGIN, MARK. "FUZZY OPTIMIZATION OF REAL FUNCTIONS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12, no. 04 (2004): 471–97. http://dx.doi.org/10.1142/s021848850400293x.

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The main goal of this paper is to develop such means of analysis that allows us to reflect and model vagueness and uncertainty of our knowledge, which result from imprecision of measurement and inaccuracy of computation. To achieve this goal, we use here neoclassical analysis to problems of optimization. Neoclassical analysis extends the scope and results of the classical mathematical analysis by applying fuzzy concepts to conventional mathematical objects, such as functions, sequences, and derivatives. Basing on the theory of fuzzy limits, we construct a fuzzy extension for the classical theo
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Yu, Xiao, Yan Hua, and Yanrong Lu. "Observer-based robust preview tracking control for a class of continuous-time Lipschitz nonlinear systems." AIMS Mathematics 9, no. 10 (2024): 26741–64. http://dx.doi.org/10.3934/math.20241301.

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<p>In this paper, a novel observer-based robust preview tracking controller design method is proposed for a class of continuous-time Lipschitz nonlinear systems with external disturbances and unknown states. First, a state observer is designed to reconstruct unknown system states. Second, using differentiation, the state lifting technique, the differential mean value theorem, and several ingenious mathematical manipulations, an augmented error system (AES) containing the previewable information of a reference signal is constructed, thereby transforming the tracking control problem into a
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Yang, Man, Qiang Zhang, Ke Xu, and Ming Chen. "Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance." Complexity 2021 (July 27, 2021): 1–12. http://dx.doi.org/10.1155/2021/7029058.

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In this article, by utilizing the predefined-time stability theory, the predefined-time output tracking control problem for perturbed uncertain nonlinear systems with pure-feedback structure is addressed. The nonaffine structure of the original system is simplified as an affine form via the property of the mean value theorem. Furthermore, the design difficulty from the uncertain nonlinear function is overcome by the excellent approximation performance of RBF neural networks (NNs). An adaptive predefined-time controller is designed by introducing the finite-time differentiator which is used to
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Trokhimchuk, Yu Yu. "Mean-Value Theorem." Ukrainian Mathematical Journal 65, no. 9 (2014): 1418–25. http://dx.doi.org/10.1007/s11253-014-0869-z.

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Tokieda, Tadashi F. "A Mean Value Theorem." American Mathematical Monthly 106, no. 7 (1999): 673. http://dx.doi.org/10.2307/2589498.

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Tokieda, Tadashi F. "A Mean Value Theorem." American Mathematical Monthly 106, no. 7 (1999): 673–74. http://dx.doi.org/10.1080/00029890.1999.12005102.

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PALES, ZSOLT. "A general mean value theorem." Publicationes Mathematicae Debrecen 89, no. 1-2 (2016): 161–72. http://dx.doi.org/10.5486/pmd.2016.7443.

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Tong, Jingcheng. "On Flett's mean value theorem." International Journal of Mathematical Education in Science and Technology 35, no. 6 (2004): 936–41. http://dx.doi.org/10.1080/00207390412331271339.

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Dissertations / Theses on the topic "The Mean Value Theorem of Differentiation"

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Bel, Haj Frej Ghazi. "Estimation et commande décentralisée pour les systèmes de grandes dimensions : application aux réseaux électriques." Thesis, Université de Lorraine, 2017. http://www.theses.fr/2017LORR0139/document.

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Les travaux de cette thèse portent sur l’estimation et la commande décentralisée des systèmes de grande dimension. L’objectif est de développer des capteurs logiciels pouvant produire une estimation fiable des variables nécessaires pour la stabilisation des systèmes non linéaires interconnectés. Une décomposition d’un tel système de grande dimension en un ensemble de n sous-systèmes interconnectés est primordiale. Ensuite, en tenant compte de la nature du sous-système ainsi que les fonctions d’interconnexions, des lois de commande décentralisées basées observateurs ont été synthétisées. Chaque
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Bel, Haj Frej Ghazi. "Estimation et commande décentralisée pour les systèmes de grandes dimensions : application aux réseaux électriques." Electronic Thesis or Diss., Université de Lorraine, 2017. http://www.theses.fr/2017LORR0139.

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Les travaux de cette thèse portent sur l’estimation et la commande décentralisée des systèmes de grande dimension. L’objectif est de développer des capteurs logiciels pouvant produire une estimation fiable des variables nécessaires pour la stabilisation des systèmes non linéaires interconnectés. Une décomposition d’un tel système de grande dimension en un ensemble de n sous-systèmes interconnectés est primordiale. Ensuite, en tenant compte de la nature du sous-système ainsi que les fonctions d’interconnexions, des lois de commande décentralisées basées observateurs ont été synthétisées. Chaque
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Hassan, Lama. "Observation et commande des systèmes non linéaires à retard." Phd thesis, Université de Lorraine, 2013. http://tel.archives-ouvertes.fr/tel-00934943.

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L'objectif de cette thèse est de développer des méthodes de synthèses d'observateurs et des contrôleurs basés sur un observateur pour les systèmes à retard. Différentes classes de systèmes ont été traitées avec différents types de retard. Trois méthodes ont été développées. La première méthode traite des systèmes non linéaires avec des non-linéarités lipschitziennes et consiste à transformer le système d'origine à un système LPV grâce à une reformulation de la propriété classique de Lipschitz. Cette technique est formulée pour les cas continu et discret, respectivement. Nous avons démontré, à
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Hassan, Lama. "Observation et commande des systèmes non-linéaires à retard." Electronic Thesis or Diss., Université de Lorraine, 2013. http://www.theses.fr/2013LORR0141.

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L'objectif de cette thèse est de développer des méthodes de synthèses d'observateurs et des contrôleurs basés sur un observateur pour les systèmes à retard. Différentes classes de systèmes ont été traitées avec différents types de retard. Trois méthodes ont été développées. La première méthode traite des systèmes non linéaires avec des non-linéarités lipschitziennes et consiste à transformer le système d'origine à un système LPV grâce à une reformulation de la propriété classique de Lipschitz. Cette technique est formulée pour les cas continu et discret, respectivement. Nous avons démontré, à
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Lin, Yu-Siang, and 林郁翔. "Discrete Mean Value Theorem." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/60305687811322887486.

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碩士<br>國立中興大學<br>應用數學系所<br>102<br>In this thesis, we derive the mean value theorems for the super-harmonic, sub-harmonic and harmonic solutions on square domains. Moreover, we consider the mesh functions on the mesh squares and establish the discrete mean value theorem by using the Green’s identities on rectangles in R2. From the discrete mean value theorem, we obtain that the value of a discrete harmonic function at a mesh point (x0, y0) is the average of any discrete square which has center at this mesh point (x0, y0) . For further research, it is interesting to extend the result here to n
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Hwang, Gwo-Jwu, and 黃國祖. "Mean value Theorem for one-sided differentiable function." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/46244603358603144552.

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碩士<br>國立臺北大學<br>統計學系<br>94<br>In the study of the behavior of probability density function of continuous random variable, if the functions are differentiable or piecewise differentiable, usually, one can apply the method of calculus to determine the monotonically, concavity, points of inflection and asymptotes of these functions to attain some properties of the probability distributions. Most of the tools in calculus are consequences of the Mean Value Theorem for Derivatives. It is a theorem about functions continuous in bounded closed intervals and differentiable in the interior of the interv
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Xu, Yuan-Feng, and 許原豐. "An analysis of optical flow algorithms for motion estimation by mean-value theorem." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/94324912031756206063.

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Romero, Christopher 1978. "They Must Be Mediocre: Representations, Cognitive Complexity, and Problem Solving in Secondary Calculus Textbooks." Thesis, 2012. http://hdl.handle.net/1969.1/148224.

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A small group of profit seeking publishers dominates the American textbook market and guides the learning of the majority of our nation’s calculus students. The College Board’s AP Calculus curriculum is a de facto national standard for this gateway course that is critically important to 21st century STEM careers. A multi-representational understanding of calculus is a central pillar of the AP curriculum. This dissertation asks whether this multi-representational vision is manifest in popular calculus textbooks. This dissertation began with a survey of all AP Calculus AB Examination free respo
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Books on the topic "The Mean Value Theorem of Differentiation"

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Bean, Hamilton. United States Intelligence Cultures. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190846626.013.357.

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Organizational culture refers to the constellation of values, beliefs, identities, and artifacts that both shape and emerge from the interactions among the formal members of the US intelligence community. It is useful for understanding interagency cooperation and information sharing, institutional reform, leadership, intelligence failure, intelligence analysis, decision making, and intelligence theory. Organizational culture is also important in understanding the dynamics of US intelligence. There are four “levels” of, or “perspectives” on, organizational culture: vernacular and mundane organi
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Book chapters on the topic "The Mean Value Theorem of Differentiation"

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Ben-Israel, Adi, and Robert Gilbert. "Mean value theorem." In Computer-Supported Calculus. Springer Vienna, 2002. http://dx.doi.org/10.1007/978-3-7091-6146-3_7.

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Lang, Serge. "The Mean Value Theorem." In Undergraduate Texts in Mathematics. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4613-0077-9_5.

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Lang, Serge. "The Mean Value Theorem." In Undergraduate Texts in Mathematics. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4419-8532-3_5.

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Mercer, Peter R. "The Mean Value Theorem." In More Calculus of a Single Variable. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1926-0_5.

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Smoryński, Craig. "The Mean Value Theorem." In MVT: A Most Valuable Theorem. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52956-1_3.

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Obata, Nobuaki. "The Levy Laplacian and mean value theorem." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0087857.

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Hui-Ru, Chen, and Shang Chan-Juan. "Generalizations of the Second Mean Value Theorem for Integrals." In Lecture Notes in Electrical Engineering. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21697-8_83.

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Di Crescenzo, Antonio, Barbara Martinucci, and Julio Mulero. "Applications of the Quantile-Based Probabilistic Mean Value Theorem to Distorted Distributions." In Computer Aided Systems Theory – EUROCAST 2017. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74727-9_10.

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Indlekofer, Karl-Heinz, and Nikolai M. Timofeev. "A Mean-Value Theorem for Multiplicative Functions on the Set of Shifted Primes." In Analytic and Elementary Number Theory. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4757-4507-8_9.

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Kosheleva, Olga, and Karen Villaverde. "Uncertainty-Related Example Explaining Why Calculus Is Useful: Example of the Mean Value Theorem." In How Interval and Fuzzy Techniques Can Improve Teaching. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55993-2_5.

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Conference papers on the topic "The Mean Value Theorem of Differentiation"

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Huang, Yong. "Research on Extensions and Applications of Integral Mean Value Theorem." In 2017 4th International Conference on Machinery, Materials and Computer (MACMC 2017). Atlantis Press, 2018. http://dx.doi.org/10.2991/macmc-17.2018.2.

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Zhou, Yanwen, Chang Gao, and Wensheng Yu. "Formal Proof of the Mean Value Theorem Based on Coq." In 2023 China Automation Congress (CAC). IEEE, 2023. http://dx.doi.org/10.1109/cac59555.2023.10451477.

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Zhang, Qingling, and Huazhou Hou. "Impulse analysis for nonlinear singular system via Differential Mean Value Theorem." In 2016 Chinese Control and Decision Conference (CCDC). IEEE, 2016. http://dx.doi.org/10.1109/ccdc.2016.7531145.

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Ma, Wenting. "Study of Higher Order Differential Mean Value Theorem for Multivariate Function." In 2017 5th International Conference on Machinery, Materials and Computing Technology (ICMMCT 2017). Atlantis Press, 2017. http://dx.doi.org/10.2991/icmmct-17.2017.281.

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Pei, Hongmei, Xuanhai Li, and Jielin Shang. "Two Methods of Proving the Improved Mean Value Theorem of Integral." In International Conference on Education, Management, Computer and Society. Atlantis Press, 2016. http://dx.doi.org/10.2991/emcs-16.2016.132.

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Messaoud, Ramzi Ben. "Nonlinear Unknown Input Observer Using Mean Value Theorem and Simulated Annealing Algorithm." In 2019 International Conference on Advanced Systems and Emergent Technologies (IC_ASET). IEEE, 2019. http://dx.doi.org/10.1109/aset.2019.8871002.

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Zhang, C., Q. Lv, and J. Yan. "Numerical Solution of Mean-Value Theorem for Downward Continuation of Potential Fields." In 80th EAGE Conference and Exhibition 2018. EAGE Publications BV, 2018. http://dx.doi.org/10.3997/2214-4609.201801462.

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Donghui Li. "On asymptotic properties for the median point of Cauchy Mean-value Theorem." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002502.

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Ichalal, Dalil, Benoit Marx, Said Mammar, Didier Maquin, and Jose Ragot. "Observer for Lipschitz nonlinear systems: Mean Value Theorem and sector nonlinearity transformation." In 2012 IEEE International Symposium on Intelligent Control (ISIC). IEEE, 2012. http://dx.doi.org/10.1109/isic.2012.6398269.

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Ou, Yangjing, Chenghua Wang, and Feng Hong. "A Variable Step Maximum Power Point Tracking Method Using Taylor Mean Value Theorem." In 2010 Asia-Pacific Power and Energy Engineering Conference. IEEE, 2010. http://dx.doi.org/10.1109/appeec.2010.5449521.

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Reports on the topic "The Mean Value Theorem of Differentiation"

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Smith, Donald L., Denise Neudecker, and Roberto Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2018. http://dx.doi.org/10.61092/iaea.yxma-3y50.

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In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept
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Smith, Donald L., Denise Neudecker, and Roberto Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2020. http://dx.doi.org/10.61092/iaea.nqsh-f02d.

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In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept
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Smith, D. L., D. Neudecker, and R. Capote Noy. Investigation of the Effects of Probability Density Function Kurtosis on Evaluated Data Results. IAEA Nuclear Data Section, 2020. http://dx.doi.org/10.61092/iaea.3ar5-xmp8.

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In two previous investigations that are documented in this IAEA report series, we examined the effects of non-Gaussian, non-symmetric probability density functions (PDFs) on the outcomes of data evaluations. Most of this earlier work involved considering just two independent input data values and their respective uncertainties. They were used to generate one evaluated data point. The input data are referred to, respectively, as the mean value and standard deviation pair (y0,s0) for a prior PDF p0(y) and a second mean value and standard deviation pair (ye,se) for a likelihood PDF pe(y). Concept
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