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Books on the topic 'At n- dimensional torus'

Author: Grafiati

Published: 5 June 2025

Last updated: 24 June 2025

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1

Ohmori, Kantaro. Six-Dimensional Superconformal Field Theories and Their Torus Compactifications. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3092-6.

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2

Gregson, R. A. M. 1928-, ed. N-dimensional nonlinear psychophysics. L. Erlbaum Associates, 1992.

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3

author, Bolle Philippe, ed. Quasi-periodic solutions of nonlinear wave equations in the D-dimensional torus. European Mathematical Society, 2020.

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4

Lawson, C. L. Some properties of n-dimensional triangulations. Jet Propulsion Laboratory California Institute ofTechnology, 1985.

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5

Pettersson, Kerstin. Strong n-generators in some one-dimensional domains. Univ., 1998.

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6

P, Banks Stephen. On the inversion of the n-dimensional Laplace transform. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1992.

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7

Diacu, Florin. Relative equilibria in the 3-dimensional curved n-body problem. American Mathematical Society, 2013.

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8

Havel, K. N bodies--no problem: Unrestricted two and three dimensional solutions. Grevyt Press, 2005.

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9

Banks, Stephen P. Existence of periodic solutions in n-dimensional retarded functional differential equations. University of Sheffield, Dept. of Control Engineering, 1987.

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10

Odling, Noelle E. Structural analysis and three-dimensional modelling at Gamsberg, N. W. Cape. Dept. of Geology, University of Cape Town, 1987.

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11

Museum im Zeughaus (Innsbruck, Austria), ed. Seh(n)sucht 3D: Museum im Zeughaus, 23. Mai - 23. November 2014. Tiroler Landesmuseum, 2014.

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12

Hayes, Wayne Brian. Efficient shadowing of high dimensional chaotic systems, with the large astrophysical N-body problem as an example. National Library of Canada, 1994.

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13

Hayes, Wayne. Efficient shadowing of high dimensional chaotic systems with the large astrophysical N-body problem as an example. University of Toronto, Dept. of Computer Science, 1995.

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14

Imbens, Huib-Jan. Finite dimensional solutions of hierarchies of soliton equations =: Eindig dimensionale oplossingen van hie rarchiee n van soliton vergelijkingen. [s.n.], 1989.

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15

E, Brézin, and Wadia S. R, eds. The Large N expansion in quantum field theory and statistical physics: From spin systems to 2-dimensional gravity. World Scientific, 1993.

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16

Herbert, Marcuse. One-dimensional man: Studies in the ideology of advanced industrial society. 2nd ed. Routledge, 1991.

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17

Herbert, Marcuse. One dimensional man: Studies in the ideology of advanced industrial society. Ark, 1986.

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18

Herbert, Marcuse. One-dimensional man: Studies in the ideology of advanced industrial society. Beacon Press, 1991.

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19

Dapporto, Paolo, Paola Paoli, Patrizia Rossi, and Annalisa Guerri. The UTN program. Firenze University Press, 2001. http://dx.doi.org/10.36253/88-8453-032-6.

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We give an algorithm which goal is to find the energy barrier between a given pair of points in a graph which represents the conformational space of a molecule. If the conformational space is homeomorphic to an -dimensional torus, then the graph can be chosen of a particular form. The UTN software, which implements the algorithm in this case, is described in detail. Finally we focus on applications: to show how UTN works, some examples are carried on in detail, with the additional support of graphical animation1 in the twodimensional case. The source code of the program and some data of the examples are available to the reader.

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20

Barg, Alexander, and O. R. Musin. Discrete geometry and algebraic combinatorics. American Mathematical Society, 2014.

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21

1963-, Giannopoulos Apostolos, and Milman Vitali D. 1939-, eds. Asymptotic geometric analysis. American Mathematical Society, 2015.

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22

Ohmori, Kantaro. Six-Dimensional Superconformal Field Theories and Their Torus Compactifications. Springer, 2018.

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23

N-Dimensional Nonlinear Psychophysics. Taylor & Francis Group, 2021.

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24

Matrices in N-dimensional Geometry. South Asian Publishers, 1996.

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25

Matrices in n-dimensional geometry. South Asian Publishers, 1985.

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26

Bowersj. Intro to Two-Dimensional Desig N. John Wiley & Sons, 1997.

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27

Väisälä, Jussi. Lectures on N-Dimensional Quasiconformal Mappings. Springer London, Limited, 2006.

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28

Väisälä, Jussi. Lectures on n-Dimensional Quasiconformal Mappings. Springer, 1989.

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29

Barbaumov, Viktor, and Natal'ya Popova. Mathematical analysis: N-dimensional space. Functions. Extremes. Infra-M Academic Publishing House, 2016. http://dx.doi.org/10.12737/19603.

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30

Schulz, Aaron. Everywhere N-Dimensional Existence for Brahmagupta Polytopes. GRIN Verlag GmbH, 2013.

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31

Gregson, Robert A. M. N-Dimensional Nonlinear Psychophysics: Theory and Case Studies. Taylor & Francis Group, 2021.

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32

Gregson, Robert A. M. N-Dimensional Nonlinear Psychophysics: Theory and Case Studies. Taylor & Francis Group, 2021.

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33

Gregson, Robert A. M. N-Dimensional Nonlinear Psychophysics: Theory and Case Studies. Taylor & Francis Group, 2021.

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34

N-Dimensional Nonlinear Psychophysics: Theory and Case Studies. Taylor & Francis Group, 2023.

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35

Zhizhin, Gennadiy Vladimirovich. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces. IGI Global, 2020.

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36

Zhizhin, Gennadiy Vladimirovich. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces. IGI Global, 2020.

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37

Murty, Katta G. Computational and Algorithmic Linear Algebra and n-Dimensional Geometry. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/8261.

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38

Holomorphic Functions in the Plane and n-dimensional Space. Birkhäuser Basel, 2008. http://dx.doi.org/10.1007/978-3-7643-8272-8.

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39

Zhizhin, G. V. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces. IGI Global, 2020.

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40

Gürlebeck, Klaus, Wolfgang Sprößig, and Klaus Habetha. Holomorphic Functions in the Plane and n-dimensional Space. Birkhäuser, 2007.

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41

Zhizhin, Gennadiy Vladimirovich. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces. IGI Global, 2020.

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42

Zhizhin, G. V. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces. IGI Global, 2020.

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43

Holomorphic Functions in the Plane and n-dimensional Space. Birkhäuser Basel, 2007.

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44

Himburg, Eric Linden. Three dimensional n-body simulations of planetary formation and dynamics. 1998.

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45

Himburg, Eric Linden. Three dimensional n-body simulations of planetary formation and dynamics. 1998.

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46

Marcuse, Herbert. One-Dimensional Man. Beacon Press, 2012.

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47

Herzig, Florian. The weight in a Serre-Type conjecture for tame n-dimensional Galois representations. 2006.

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48

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. It also considers the discretization of the path integral over metrics, the solution of pure lattice gravity using the one-matrix model, the construction of the Ising model coupled to 2D gravity discretized on planar graphs, the O(n) loop model, the six-vertex model, the q-state Potts model, and solid-on-solid and ADE matrix models.

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49

Dobrev, V. K., G. Mack, and V. B. Petkova. Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory. Springer, 2014.

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50

Theory and Phenomenology of Sparticles: An Account of Four-Dimensional N=1 Supersymmetry in High Energy Physics. World Scientific Publishing Co Pte Ltd, 2005.

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