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Books on the topic 'Transformation invariance'

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Published: 10 December 2022
Last updated: 28 January 2023

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1

Seshadri, R. Group invariance in engineering boundary value problems. New York: Springer-Verlag, 1985.

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2

Y, Na T., ed. Group invariance in engineering boundary value problems. New York: Springer-Verlag, 1985.

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3

Seshadri, R. Group Invariance in Engineering Boundary Value Problems. New York, NY: Springer New York, 1985.

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4

Barndorff-Nielsen, O. E. Decomposition and invariance of measures, and statistical transformation models. New York: Springer-Verlag, 1989.

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5

Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. Decomposition and Invariance of Measures, and Statistical Transformation Models. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5.

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6

Mögliche Skalentypen, invariante Relationen und wissenschaftliche Gesetze. Göttingen: Vandenhoeck & Ruprecht, 1994.

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7

Difference spaces and invariant linear forms. Berlin: Springer-Verlag, 1994.

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8

Nillsen, Rodney. Difference spacesand invariant linear forms. Berlin: Springer-Verlag, 1994.

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9

Conformal invariance: An introduction to loops, interfaces and stochastic Loewner Evolution. Heidelberg: Springer, 2012.

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10

Fabella, Raul V. Continuity in transformation invariant social orderings: Two impossibilites. [Quezon?]: University of the Philippines, School of Economics, 1985.

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11

L, Popov V., and Erwin Schrödinger International Institute for Mathematical Physics., eds. Algebraic transformation groups and algebraic varieties: Proceedings of the conference Interesting algebraic varieties arising in algebraic transformation group theory held at the Erwin Schrödinger Institute, Vienna, October 22-26, 2001. Berlin: Springer, 2004.

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12

Kalinowski, Marek Wojciech. Riemann waves and their applications. Harlow, Essex, England: Longman Scientific & Technical, 1992.

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13

Gardner, Robert B. The method of equivalence and its applications. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 1989.

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14

Kraft, Hanspeter, Peter Slodowy, and Tonny A. Springer, eds. Algebraische Transformationsgruppen und Invariantentheorie Algebraic Transformation Groups and Invariant Theory. Basel: Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-7662-9.

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15

Quasi-invariant and pseudo-differentiable measures in Banach spaces. Hauppauge, NY: Nova Sciences Publishers, 2009.

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16

Gargour, Christian Samir. Traitement numérique des signaux. 3rd ed. Québec: Presses de l'Université du Québec, 2013.

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17

Gargour, Christian Samir. Traitement numérique des signaux. 2nd ed. Québec: Presses de l'Université du Québec, 2006.

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18

B, Carrell James, and McGovern William M. 1959-, eds. Algebraic quotients: Torus actions and cohomology / J.B. Carrell. The adjoint representation and the adjoint action / W.M. McGovern. Berlin: Springer, 2002.

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19

Boccaletti, D. Theory of orbits. Berlin: Springer-Verlag, 1996.

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20

G, Pucacco, ed. Theory of orbits. 3rd ed. Berlin: Springer, 2004.

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21

Boccaletti, D. Theory of orbits. 2nd ed. Berlin: Springer, 2001.

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22

Barndorff-Nielsen, O. E. Decomposition and Invariance of Measures, and Statistical Transformation Models. Springer, 2011.

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23

Barndorff-Nielsen, O. E. Decomposition and Invariance of Measures, and Statistical Transformation Models. Springer London, Limited, 2012.

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24

Kachelriess, Michael. Global symmetries and Noether’s theorem. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0005.

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Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.
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25

Arntzenius, Frank. The CPT Theorem. Edited by Craig Callender. Oxford University Press, 2011. http://dx.doi.org/10.1093/oxfordhb/9780199298204.003.0022.

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The CPT theorem says that any Lorentz invariant quantum field theory must also be invariant under the combined operation of charge conjugation C, parity P, and time reversal T, even though none of those individual invariances need hold. It is quite strange. Why should a quantum field theory be invariant under the combination of two spatiotemporal discrete transformations, and then a quite different type of transformation (matter–anti-matter transformation)? In one of the first attacks on these and related questions by a philosopher, this chapter argues that CPT symmetry is better understood as PT symmetry. If the author is right, CPT symmetry is really saying that quantum field theory does not care about temporal orientation or spatial handedness.
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26

Deruelle, Nathalie, and Jean-Philippe Uzan. The Maxwell equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0030.

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This chapter presents Maxwell equations determining the electromagnetic field created by an ensemble of charges. It also derives these equations from the variational principle. The chapter studies the equation’s invariances: gauge invariance and invariance under Poincaré transformations. These allow us to derive the conservation laws for the total charge of the system and also for the system energy, momentum, and angular momentum. To begin, the chapter introduces the first group of Maxwell equations: Gauss’s law of magnetism, and Faraday’s law of induction. It then discusses current and charge conservation, a second set of Maxwell equations, and finally the field–energy momentum tensor.
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27

I, Shishorina O., Frolov K. V, Kochin N. E. 1901-1944, Institut prikladnoĭ ėkologii Severa (Akademii͡a︡ nauk Respubliki Sakha (I͡A︡kutii͡a︡)), and Moscow Engineering-Physical Institute (Technical University), eds. On the way to mathematical simplicity of nature: Proportionality, invariance, similarity. Moscow: "Nauka", 1998.

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28

Popov, Vladimir L. Algebraic Transformation Groups and Algebraic Varieties. Springer, 2010.

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29

Springer, T. A., H. Kraft, and P. Slodowy. Algebraic Transformation Groups and Invariant Theory (DMV Seminar). Birkhauser, 1989.

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30

1944-, Kraft Hanspeter, Slodowy Peter, Springer T. A, and Deutsche Mathematiker-Vereinigung, eds. AlgebraischeTransformationsgruppen und Invariantentheorie =: Algebraic transformation groups and invariant theory. Basel: Birkhäuser, 1989.

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31

Politis, Zafiris. Trace transformation and invariant features of images. 1996.

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32

Kachelriess, Michael. Anomalies, instantons and axions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0017.

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The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.
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33

Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras. Springer, 2005.

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34

Transformation Groups and Invariant Measures: Set-Theoretical Aspects. World Scientific Publishing Company, 1998.

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35

Letellier, Emmanuel. Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras (Lecture Notes in Mathematics Book 1859). Springer, 2004.

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36

Mann, Peter. Point Transformations in Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0009.

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This chapter discusses point transformations in Lagrangian mechanics. Sometimes, when solving problems, it is useful to change coordinates in velocity phase space to better suit and simplify the system at hand; this is a requirement of any physical theory. This change is often motivated by some experimentally observed physicality of the system or may highlight new conserved quantities that might have been overlooked using the old description. In the Newtonian formalism, it was a bit of a hassle to change coordinates and the equations of motion will look quite different. In this chapter, point transformations in Lagrangian mechanics are developed and the Euler–Lagrange equation is found to be covariant. The chapter discusses coordinate transformations, parametrisation invariance and the Jacobian of the transform. Re-parametrisations are also included.
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37

Slodowy, Peter, Tonny A. Springer, and Hanspeter Kraft. Algebraische Transformationsgruppen und Invariantentheorie Algebraic Transformation Groups and Invariant Theory. Springer Basel AG, 2012.

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38

1944-, Kraft Hanspeter, Slodowy Peter, Springer T. A. 1926-, and Deutsche Mathematiker-Vereinigung, eds. Algebraische Transformationsgruppen und Invariantentheorie =: Algebraic transformation groups and invariant theory. Basel: Birkhäuser, 1989.

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39

Springer, Kraft, and Slodowy. Algebraische Transformationsgruppen und Invariantentheorie Algebraic Transformation Groups and Invariant Theory. Birkhauser Verlag, 2013.

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40

Wang, C. B. Application of Integrable Systems to Phase Transitions. Springer London, Limited, 2013.

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41

Park, Dae-hyun. Detection and diagnosis of parameters change in linear system using time-frequency transformation. 1991.

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42

Springer, Kraft, and Slodowy. Algebraische Transformationsgruppen und Invariantentheorie Algebraic Transformation Groups and Invariant Theory (Oberwolfach Seminars). Birkhauser, 1989.

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43

Segre, Beniamino. Some Properties of Differentiable Varieties and Transformations: With Special Reference to the Analytic and Algebraic Cases. Springer, 2011.

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44

Some Properties of Differentiable Varieties and Transformations: With Special Reference to the Analytic and Algebraic Cases. Springer, 2011.

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45

Segre, Beniamino. Some Properties of Differentiable Varieties and Transformations: With Special Reference to the Analytic and Algebraic Cases. Springer London, Limited, 2012.

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46

Segre, Beniamino, and J. W. P. Hirschfeld. Some Properties of Differentiable Varieties and Transformations: With Special Reference to the Analytic and Algebraic Cases. Springer London, Limited, 2012.

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47

Branges, Louis De. Invariant Subspaces of Linear Transformations in Hilbert Space, a Survey of 1961 Russian Results. Franklin Classics, 2018.

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48

Branges, Louis De. Invariant Subspaces of Linear Transformations in Hilbert Space, a Survey of 1961 Russian Results. Franklin Classics, 2018.

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49

Kuijlaars, Arno. Supersymmetry. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.7.

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This article examines conceptual and structural issues related to supersymmetry. It first provides an overview of generating functions before discussing supermathematics, with a focus on Grassmann or anticommuting variables, vectors and matrices, groups and symmetric spaces, and derivatives and integrals. It then considers various applications of supersymmetry to random matrices, such as the representation of the ensemble average and the Hubbard–Stratonovich transformation, along with its generalization and superbosonization. It also describes matrix δ functions and an alternative representation as well as important and technically challenging problems that supersymmetry addresses beyond the invariant and factorizing ensembles. The article concludes with an analysis of the supersymmetric non-linear σ model, Brownian motion in superspace, circular ensembles and the Colour-Flavour-Transformation.
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50

Mercati, Flavio. Shape Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.001.0001.

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Shape Dynamics is a new theory of gravity that is based on fewer and more fundamental first principles than General Relativity. The most important feature of this theory is the replacement of relativity of simultaneity with a more tractable gauge symmetry, namely invariance under spatial conformal transformations. This book contains both a quick introduction for readers curious about Shape Dynamics and a detailed walk-through of the historical and conceptual motivations for the theory, its logical development from first principles and an in-depth description of its present status. The book is sufficiently self-contained for an undergrad student with some basic background in General Relativity and Lagrangian/Hamiltonian mechanics. It is intended both as a reference text for students approaching the subject and as a review for researchers interested in the theory.
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