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1

Pucci, Patrizia, and James Serrin. The Maximum Principle. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8145-5.

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2

Boltyanski, Vladimir G., and Alexander S. Poznyak. The Robust Maximum Principle. Boston, MA: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8152-4.

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3

Donnenfeld, Shabtai. The principle of maximum product differentiation. Toronto, Ont: Dept. pf Economice, York University,[1989], 1989.

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4

Kapur, Jagat Narain. The generalized maximum entropy principle (with applications). Waterloo, Ont: Sandford Educational Press, 1987.

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5

missing], [name. Entropy measures, maximum entropy principle, and emerging applications. Berlin: Springer Verlag, 2004.

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6

Burstein, Joseph. Sequential optimization: Dynamic programming, maximum principle, and extensions. Boston: Metrics Press, 1985.

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7

Karmeshu, ed. Entropy Measures, Maximum Entropy Principle and Emerging Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36212-8.

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8

A stochastic maximum principle for optimal control of diffusions. Harlow: Longman Scientific & Technical, 1986.

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9

Aseev, S. M. The Pontryagin maximum principle and optimal economic growth problems. Moscow: MAIK Nauka/Interperiodica, 2007.

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10

A stochastic maximum principle for optimal control of diffusions. Harlow, Essex, England: Longman, Scientific & Technical, 1986.

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11

Gacki, Henryk. Applications of the Kantorovich-Rubinstein maximum principle in the theory of Markov semigroups. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2007.

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12

Lü, Qi, and Xu Zhang. General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06632-5.

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13

Conniffe, Denis. Expected maximum log liklihood estimation. Dublin: Economic and Social Research Institute, 1988.

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14

Alías, Luis J., Paolo Mastrolia, and Marco Rigoli. Maximum Principles and Geometric Applications. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24337-5.

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15

Cockburn, B. Nonlinearly stable compact schemes for shock calculations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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16

S, Mironova R., ed. Print͡s︡ip maksimuma v zadache optimalʹnogo upravlenii͡a︡ s peremennoĭ strukturoĭ i neopredelennymi parametrami. Moskva: Vychislitelʹnyĭ t͡s︡entr AN SSSR, 1986.

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17

Maximum and minimum principles: A unified approach, with applications. Cambridge: Cambridge University Press, 1987.

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18

Econometric applications of maximum likelihood methods. Cambridge [Cambridgeshire]: Cambridge University Press, 1986.

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19

Ferger, D. On the almost sure convergence of maximum likelihood-type estimators for a change point. Dresden: Technische Universität Dresden, Institut für Mathematische Stochastik, 2004.

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20

Aseev, S. M. Print︠s︡ip maksimuma Pontri︠a︡gina i zadachi optimalʹnogo ėkonomicheskogo rosta. Moskva: Nauka, 2007.

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21

Best, F. Minimum investment, maximum returns: design principles for the world of the retail shed. Oxford: Oxford Brookes University, 1999.

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22

Tallec, Patrick Le. Maximum principles and application to the analysis of an explicit time marching algorithm. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1996.

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23

Rearrangements and convexity of level sets in PDE. Berlin: Springer-Verlag, 1985.

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24

Kawohl, Bernhard. Rearrangements and convexity of level sets in PDE. Berlin: Springer-Verlag, 1985.

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25

Order structure and topological methods in nonlinear partial differential equations: Maximum principles and applications. Hackensack, N.J: World Scientific, 2006.

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26

Daniels, Peter J. Success is--: Principles for achieving your dreams. Tulsa, Okla: Trade Life Books, 1998.

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27

Phillimore, John George. Principles and maxims of jurisprudence. Union, N.J: Lawbook Exchange, 2001.

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28

Ismailov, Nariman. Globalism and ecophilosophy of the future. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1212905.

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From the point of view of the new science of globalism, the problems of the ecological, socio-economic state of the world and countries are considered through the prism of the interaction of the human psyche and society and the inhabited world. The criteria of ecological civilization of countries and peoples are justified. Optimizing the consumption of natural bio-and energy resources is becoming a fundamental environmental factor for sustainable development. The "Law of the maximum for humanity" as the law of the biosphere can be the arbitration court, the neutral force that will explain the historical need for mutual understanding, taking into account the interests of ecology and economy for the survival of man as a biovid on Earth; a new reality will begin to form — the phenomenon of co-residence of the world society with the biosphere. The world's population, its energy and bio-consumption, as well as all living matter on the planet, must correspond to the biological capacity of the Earth and not go beyond its boundaries. The task of the society is to implement a worldview breakthrough at the current stage of development, its own cultural mutation, which in the future will create the basis for adaptive technological and socio-cultural development. The task is to classify the entire Earth as a "Green Book" and to solve systemic environmental problems of a global nature. An integral part of sustainable development should be the principle of "vital consumption" at both the personal and social level, instead of the dominant principle of"expanded production and consumption". The indicator of the" culture of consumption "of natural resources, both at the individual level and at the level of society, should be included as an integral part of the integral indicator in the "True Indicator of Progress" and the "Human Development Index". The book is interdisciplinary in nature; it is a kind of scientific and philosophical poetic essay intended for teachers and students of universities in the field of sociology, ecology, biology and related fields, as well as for everyone who cares about the future of society.
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29

The Ulam problem of optimal motion of line segments. New York: Optimization Software, Publications Division, 1985.

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30

Tollefsen, Torstein. The Christocentric cosmology of St. Maximus the Confessor: A study of his metaphysical principles. Oslo: Unipub forlag, 2000.

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31

Stiegele, Richard F. Never reada newspaper at your desk: The fundamental principles of business. Secaucus, N.J: Carol Publishing Group, 1994.

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32

Stiegele, Richard F. Never read a newspaper at your desk: The fundamental principles of business. Secaucus, N.J: Carol Pub. Group, 1994.

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33

Fundamental principles of the theory of extremal problems. Chichester: Wiley, 1986.

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34

Income, Wealth, and the Maximum Principle. Harvard University Press, 2003.

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35

Weitzman, Martin L. Income, Wealth, and the Maximum Principle. Harvard University Press, 2007.

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36

WEITZMAN, Martin L. Income, Wealth, and the Maximum Principle. Harvard University Press, 2009.

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37

Weitzman, Martin L. Income, Wealth, and the Maximum Principle. Harvard University Press, 2003. http://dx.doi.org/10.4159/9780674045071.

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38

The Robust Maximum Principle Theory And Applications. Birkhauser Boston, 2011.

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39

Epstein, Charles L., and Rafe Mazzeo. Maximum Principles and Uniqueness Theorems. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0003.

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This chapter proves maximum principles for two parabolic and elliptic equations from which the uniqueness results follow easily. It also considers the main consequences of the maximum principle, both for the model operators on an open orthant and for the general Kimura diffusion operators on a compact manifold with corners, as well as their elliptic analogues. Of particular note in this regard is a generalization of the Hopf boundary point maximum principle. The chapter first presents maximum principles for the model operators before discussing Kimura diffusion operators on manifolds with corners. It then describes maximum principles for the heat equation as well as the corresponding maximum principle and uniqueness result for Kimura diffusion equations.
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40

The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications). Birkhäuser Basel, 2007.

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41

Locatelli, Arturo. Optimal Control of a Double Integrator: A Primer on Maximum Principle. Springer, 2018.

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42

Locatelli, Arturo. Optimal Control of a Double Integrator: A Primer on Maximum Principle. Springer, 2016.

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43

Physiological variation during maximal and submaximal exercise: An experiment to test the principle of maximum activity. 1988.

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44

Physiological variation during maximal and submaximal exercise: An experiment to test the principle of maximum activity. 1987.

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45

The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications Book 73). Birkhäuser, 2007.

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46

General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer, 2014.

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47

Karmeshu. Entropy Measures, Maximum Entropy Principle and Emerging Applications (Studies in Fuzziness and Soft Computing). Springer, 2003.

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48

Moroz, Adam. Common Extremalities in Biology and Physics: Maximum Energy Dissipation Principle in Chemistry, Biology, Physics and Evolution. Elsevier Science & Technology Books, 2011.

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49

Moroz, Adam. The Common Extremalities in Biology and Physics: Maximum Energy Dissipation Principle in Chemistry, Biology, Physics and Evolution. Elsevier, 2011.

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50

Rau, Jochen. Constructing the State. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.003.0003.

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The limited data available about a macroscopic system may come in various forms: sharp constraints, expectation values, or control parameters. While these data impose constraints on the state, they do not specify it uniquely; a further principle—the maximum entropy principle—must be invoked to construct it. This chapter discusses basic notions of information theory and why entropy may be regarded as a measure of ignorance. It shows how the state—called a Gibbs state—is constructed using the maximum entropy principle, and elucidates its generic properties, which are conveniently summarized in a thermodynamic square. The chapter further discusses the second law and how it is linked to the reproducibility of macroscopic processes. It introduces the concepts of equilibrium and temperature, as well as pressure and chemical potential. Finally, this chapter considers statistical fluctuations of the energy and of other observables in case these are given as expectation values.
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