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1

Aratyn, Henrik, Tom D. Imbo, Wai-Yee Keung, and Uday Sukhatme, eds. Supersymmetry and Integrable Models. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0105309.

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2

Alekseev, Anton, Antero Hietamäki, Katri Huitu, Alexei Morozov, and Antti Niemi, eds. Integrable Models and Strings. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/3-540-58453-6.

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3

Bernasconi, Anna. Model, Integrate, Search... Repeat. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-44907-9.

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4

Xing-Chang, Song, ed. Integrable systems. World Scientific, 1990.

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5

T, Inami, and Sasaki Ryu, eds. Quantum field theory, integrable models and beyond. Progress of Theoretical Physics, 1995.

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6

Băiașu, Iuliana. Musulmanii turci din România: Un model de integrare. Tritonic, 2019.

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7

Oyet, Alwell J. Robust designs for wavelet approximations of regression models. University of Toronto, Dept. of Statistics, 1997.

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8

Savin, M. G. Metod reshenii͡a zadach geoėlektriki dli͡a modeli s vertikalʹnym kontaktom. DVO AN SSSR, 1990.

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9

Hromadka, Theodore V., and Robert J. Whitley. Stochastic Integral Equations and Rainfall-Runoff Models. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-49309-6.

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10

Hromadka, Theodore V. Stochastic Integral Equations and Rainfall-Runoff Models. Springer Berlin Heidelberg, 1989.

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11

María del Pilar Uribe de Bernal. Un modelo de desarrollo integral comunitario urbano. Fundación para la Educación Superior, 1991.

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12

Hromadka, Theodore V. Stochastic integral equations and rainfall-runoff models. Springer-Verlag, 1989.

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13

Zakrzewski, W. J. Low-dimensional sigma models. A. Hilger, 1989.

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14

Hamayun, Mirza Tariq, Christopher Edwards, and Halim Alwi. Fault Tolerant Control Schemes Using Integral Sliding Modes. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32238-4.

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15

Pakuliak, S., and G. Gehlen, eds. Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0670-5.

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16

Weinstein, Sharon. " Becoming solution focused?: How cousellors and psychologists integrate a new model". University of Surrey Roehampton, 2002.

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17

1944-, Gottstein G., Sebald Roland, Sonderforschungsbereich 370, and Workshop on "Integral Materials Modelling" (1999 : Aachen, Germany), eds. SFB 370 Workshop "Integral Materials Modelling". Shaker Verlag, 2000.

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18

Benítez, Roberto Ibarra. Un sistema integral de contabilidad nacional. Centro de Estudios Monetarios Latinoamericanos, 1986.

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19

M, McCoy Barry, Kashiwara Masaki 1947-, and Miwa T, eds. MathPhys odyssey 2001: Integrable models and beyond : in honor of Barry M. McCoy. Birkhäuser, 2002.

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20

G, Matinyan S., Gurzadyan V. G. 1955-, and Sedrakian A. G, eds. From integrable models to gauge theories: A volume in honor of Sergei Matinyan. World Scientific, 2002.

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21

Fridman, Leonid, Alexander Poznyak, and Francisco Javier Bejarano. Robust Output LQ Optimal Control via Integral Sliding Modes. Springer New York, 2014. http://dx.doi.org/10.1007/978-0-8176-4962-3.

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22

1944-, Gottstein G., ed. Integral materials modeling: Towards physics-based through-process models. Wiley-VCH, 2007.

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23

Rajeev, S. G. Integrable Models. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0009.

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Some exceptional situations in fluid mechanics can be modeled by equations that are analytically solvable. The most famous example is the Korteweg–de Vries (KdV) equation for shallow water waves in a channel. The exact soliton solution of this equation is derived. The Lax pair formalism for solving the general initial value problem is outlined. Two hamiltonian formalisms for the KdV equation (Fadeev–Zakharov and Magri) are explained. Then a short review of the geometry of curves (Frenet–Serret equations) is given. They are used to derive a remarkably simple equation for the propagation of a ki
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24

Borodin, Alexei, and Leonid Petrov. Integrable probability: stochastic vertex models and symmetric functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0002.

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This chapter presents the study of a homogeneous stochastic higher spin six-vertex model in a quadrant. For this model concise integral representations for multipoint q-moments of the height function and for the q-correlation functions are derived. At least in the case of the step initial condition, these formulas degenerate in appropriate limits to many known formulas of such type for integrable probabilistic systems in the (1+1)d KPZ universality class, including the stochastic six-vertex model, ASEP, various q-TASEPs, and associated zero-range processes. The arguments are largely based on p
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25

Chekhov, Leonid. Two-dimensional quantum gravity. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.30.

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This article discusses the connection between large N matrix models and critical phenomena on lattices with fluctuating geometry, with particular emphasis on the solvable models of 2D lattice quantum gravity and how they are related to matrix models. It first provides an overview of the continuum world sheet theory and the Liouville gravity before deriving the Knizhnik-Polyakov-Zamolodchikov scaling relation. It then describes the simplest model of 2D gravity and the corresponding matrix model, along with the vertex/height integrable models on planar graphs and their mapping to matrix models.
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26

Integrable Models. World Scientific Publishing Co Pte Ltd, 1989.

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27

Integrable models. World Scientific, 1989.

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28

Integrable Models. World Scientific Publishing Co Pte Ltd, 1989.

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29

Orantin, Nicolas. Unitary integrals and related matrix models. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.17.

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This article examines the basic properties of unitary matrix integrals using three matrix models: the ordinary unitary model, the Brézin-Gross-Witten (BGW) model and the Harish-Chandra-Itzykson-Zuber (HCIZ) model. The tricky sides of the story are given special attention, such as the de Wit-’t Hooft anomaly in unitary integrals and the problem of correlators with Itzykson-Zuber measure. The method of character expansions is also emphasized as a technical tool. The article first provides an overview of the theory of the BGW model, taking into account the de Wit-’t Hooft anomaly and the M-theory
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30

Eckle, Hans-Peter. Models of Quantum Matter. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199678839.001.0001.

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This book focuses on the theory of quantum matter, strongly interacting systems of quantum many–particle physics, particularly on their study using exactly solvable and quantum integrable models with Bethe ansatz methods. Part 1 explores the fundamental methods of statistical physics and quantum many–particle physics required for an understanding of quantum matter. It also presents a selection of the most important model systems to describe quantum matter ranging from the Hubbard model of condensed matter physics to the Rabi model of quantum optics. The remaining five parts of the book examine
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31

Sapiens Top Model: Modelo Existencial Integral para Nuestro Equilibrio Vital. Independently Published, 2022.

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32

Local Operators in Integrable Models. American Mathematical Society, 2021.

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33

Frydryszak, Andrzej, and Ziemowit Popowicz. New Symmetries and Integrable Models. World Scientific Publishing Co Pte Ltd, 2000.

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34

Gurzadyan, V. G., and A. G. Sedrakian. From Integrable Models to Gauge Theories. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/4939.

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35

Horváth, Zalán, and László Palla, eds. Conformal Field Theories and Integrable Models. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0105276.

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36

Novikov, S. P. Integrable Pseudospin Models in Condensed Matter. CRC, 1993.

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37

Horvath, Zalan. Conformal Field Theories and Integrable Models. Springer, 2013.

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38

Integrable Systems. World Scientific Publishing Co Pte Ltd, 1989.

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39

L, M. Ge. Quantum Groups, Integrable Statistical Models and Knot Theory. World Scientific Publishing Co Pte Ltd, 1993.

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40

Mann, Peter. Near-Integrable Systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0024.

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This chapter extends the now familiar Lagrangian formulation to a field theory and covers elementary material in this new setting. The motion of systems with a very large number of degrees of freedom makes it necessary to specify an almost infinite number of discrete coordinates. It is possible to simplify the situation by taking the continuum limit, which replaces the individual coordinates with a continuous function that describes a displacement field, which assigns a displacement vector to each position the system could occupy relative to an equilibrium configuration. The field thus takes a
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41

Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator
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42

Integrable Systems: Nankai Lectures on Mathematical Physics, 1987. World Scientific Pub Co Inc, 1989.

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43

Kashiwara, Masaki. Mathphys Odyssey 2001: Integrable Models and Beyond (Zurcher Hochschulforum). Birkhauser, 2002.

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44

Münkler, Hagen. Symmetries of Maldacena-Wilson Loops from Integrable String Theory. Springer, 2018.

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45

Its, Alexander R. Random matrix theory and integrable systems. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.10.

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This article discusses the interaction between random matrix theory (RMT) and integrable theory, leading to ordinary and partial differential equations (PDEs) for the eigenvalue distribution of random matrix models of size n and the transition probabilities of non-intersecting Brownian motion models, for finite n and for n → ∞. It first provides an overview of the connection between the theory of orthogonal polynomials and the KP-hierarchy in integrable systems before examining matrix models and the Virasoro constraints. It then considers multiple orthogonal polynomials, taking into account no
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46

Form Factors in Completely Integrable Models of Quantum Field Theory. World Scientific Publishing Co Pte Ltd, 1992.

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47

Form Factors in Completely Integrable Models of Quantum Field Theory. World Scientific Publishing Co Pte Ltd, 1992.

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48

Form factors in completely integrable models of quantum field theory. World Scientific, 1992.

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49

Plessis, Guy Du. Integral Foundation for Addiction Treatment: Beyond the Biopsychosocial Model. Integral Publishers, 2018.

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50

Derer, Peter J. Gesundheitsförderliche Personalführung: Das Integrale Modell Als Schlüssel Zum Erfolg. Bachelor + Master Publishing, 2012.

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