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1

Schauenburg, Peter. On coquasitriangular Hopf algebras and the quantum Yang-Baxter equation. R. Fischer, 1992.

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2

Goodrich, John W. Hopf bifurcation in the driven cavity. NASA, 1989.

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3

E, Gustafson Karl, Halasi Kadosa, United States. National Aeronautics and Space Administration., and Lewis Research Center. Institute for Computational Mechanics in Propulsion., eds. Hopf bifurcation in the driven cavity. NASA, 1989.

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4

1946-, Demuth Michael, ed. Schrödinger operators, Markov semigroups, wavelet analysis, operator algebras. Akademie Verlag, 1996.

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5

Dellnitz, Michael. Hopf-Verzweigung in Systemen mit Symmetrie und deren numerische Behandlung. Verlag an der Lottbek, 1989.

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6

Gohberg, I., ed. Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8596-6.

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7

1928-, Gohberg I., ed. Continuous and discrete Fourier transforms, extension problems, and Wiener-Hopf equations. Birkhäuser Verlag, 1992.

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8

Ebrahimi-Fard, Kurusch, and Frédéric Fauvet, eds. Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series. European Mathematical Society Publishing House, 2015. http://dx.doi.org/10.4171/143.

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9

Noble, Ben. Methods based on the Wiener-Hopf technique for the solution of partial differential equations. 2nd ed. Chelsea Pub. Co., 1988.

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10

G, Larson Richard, and United States. National Aeronautics and Space Administration., eds. Hopf-algebraic structure of combinatorial objects and different operators. National Aeronautics and Space Administration, 1989.

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11

Grossman, Robert. Hopf-algebraic structure of combinatorial objects and different operators. National Aeronautics and Space Administration, 1989.

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12

Balduf, Paul-Hermann. Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54446-0.

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13

Magal, Pierre. Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. American Mathematical Society, 2009.

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14

1963-, Ruan Shigui, ed. Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. American Mathematical Society, 2009.

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15

J, Steffen Christopher, and United States. National Aeronautics and Space Administration., eds. High-order polynomial expansions (HOPE) for flux-vector splitting. National Aeronautics and Space Administration, 1991.

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16

J, Steffen Christopher, and United States. National Aeronautics and Space Administration., eds. High-order polynomial expansions (HOPE) for flux-vector splitting. National Aeronautics and Space Administration, 1991.

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17

Fiedler, Bernold. Global bifurcation of periodic solutions with symmetry. Springer-Verlag, 1988.

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18

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 corn
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19

Rajeev, S. G. Shocks. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0006.

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When the speed of a fluid exceeds that of sound, discontinuities in density occur, called shocks.The opposite limit from incompressibility (constant density) is constant pressure. In this limit, we get Burgers equation. It can be solved exactly in one dimension using the Cole–Hopf transformation. The limit of small viscosity is found not to be the same as zero viscosity: there is a residual drag no matter how small it is. The Maxwell construction of thermodynamics was adapted by Lax and Oleneik to derive rules for shocks in this limit. The Riemann problem of time evolution with a discontinuous
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20

Hopf Algebras, Quantum Groups and Yang-Baxter Equations. MDPI, 2019. http://dx.doi.org/10.3390/books978-3-03897-325-6.

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21

Maw, William L. The Work-Life Equation. ABC-CLIO, LLC, 2015. http://dx.doi.org/10.5040/9798216038658.

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This book supplies a simple, memorable, and effective formula to solve problematic behaviors in the work environment and life in general. An invaluable guidebook, it will help readers move beyond mediocrity and achieve happier, more successful lives. The Work-Life Equation: Six Key Values That Drive Happiness and Success is for the millions of people and business managers who are surrounded by bad behavior—with its attendant mediocre or unsatisfying results—at work and in their private lives, but who hope and dream for happier and more successful lives. The book begins with a frank explanation
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22

Daniele, Vito G., and Rodolfo S. Zich. Wiener-Hopf Method in Electromagnetics. SciTech Publishing, Incorporated, 2014.

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23

The Wiener-Hopf Method in Electromagnetics. Scitech Publishing, 2014.

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24

Gohberg, I. Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Birkhäuser Boston, 2012.

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25

Gohberg, I. Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Birkhauser Verlag, 2012.

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26

Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations. Island Press, 1992.

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27

Nakamori, Seiichi. RLS Wiener Smoother from Randomly Delayed Observations in Linear Discrete-Time Systems. Nova Science Publishers, Incorporated, 2013.

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28

Exact solutions for sound radiation from a circular duct. National Aeronautics and Space Administration, Ames Research Center, 1997.

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29

Exact solutions for sound radiation from a circular duct. National Aeronautics and Space Administration, Ames Research Center, 1997.

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30

Noble, Ben. Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. Hassell Street Press, 2021.

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31

Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. Creative Media Partners, LLC, 2021.

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32

Balduf, Paul-Hermann. Dyson-Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory. Springer, 2024.

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33

Ready, Set, Hop!: Building Equations (Mathstart Level 3 (Steck-Vaughn)). Steck-Vaughn, 1999.

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34

Epstein, Charles L., and Rafe Mazzeo. Introduction. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0001.

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This book proves the existence, uniqueness and regularity results for a class of degenerate elliptic operators known as generalized Kimura diffusions, which act on functions defined on manifolds with corners. It presents a generalization of the Hopf boundary point maximum principle that demonstrates, in the general case, how regularity implies uniqueness. The book is divided in three parts. Part I deals with Wright–Fisher geometry and the maximum principle; Part II is devoted to an analysis of model problems, and includes degenerate Hölder spaces; and Part III discusses generalized Kimura diff
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35

High-order polynomial expansions (HOPE) for flux-vector splitting. National Aeronautics and Space Administration, 1991.

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36

Hopf Algebras and Galois Module Theory. American Mathematical Society, 2021.

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37

Pool, Robert. Beyond Engineering. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195107722.001.0001.

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We have long recognized technology as a driving force behind much historical and cultural change. The invention of the printing press initiated the Reformation. The development of the compass ushered in the Age of Exploration and the discovery of the New World. The cotton gin created the conditions that led to the Civil War. Now, in Beyond Engineering, science writer Robert Pool turns the question around to examine how society shapes technology. Drawing on such disparate fields as history, economics, risk analysis, management science, sociology, and psychology, Pool illuminates the complex, of
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38

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

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39

Combinatorics and Random Matrix Theory. American Mathematical Society, 2016.

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40

Motives, quantum field theory, and pseudodifferential operators: Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. American Mathematical Society, 2010.

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41

Noncommutative geometry and global analysis: Conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany. American Mathematical Society, 2011.

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