Dirac’s Formalism for Time-Dependent Hamiltonian Systems in the Extended Phase Space
Universe, 2021 Dirac’s formalism for constrained systems is applied to the analysis of time-dependent Hamiltonians in the extended phase space. We show that the Lewis invariant is a reparametrization invariant, and we calculate the Feynman propagator using the extended
Angel Garcia-Chung +2 more
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Reparametrization invariant norms [PDF]
Transactions of the American Mathematical Society, 2008 This paper explores the concept of reparametrization invariant norm (RPI-norm) for C 1 C^1
FROSINI, PATRIZIO, C. Landi
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Reparametrizing gradient descent
CoRR, 2020 In this work, we propose an optimization algorithm which we call norm-adapted gradient descent. This algorithm is similar to other gradient-based optimization algorithms like Adam or Adagrad in that it adapts the learning rate of stochastic gradient descent at each iteration. However, rather than using statistical properties of observed gradients, norm-
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Real Reparametrizations of Real Curves
Journal of Symbolic Computation, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomás Recio, J. Rafael Sendra
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Reparametrization invariance reexamined [PDF]
Physical Review D, 1997 Reparametrization invariance, a symmetry of heavy quark effective theory, appears in different forms in the literature. The most commonly cited forms of the reparametrization transformation are shown to induce the same constraints on operators that do not vanish under the equation of motion to order 1/m{sup 2}, and to be related by a redefinition of ...
Finkemeier, Markus +2 more
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Satellite data validation: a parametrization of the natural variability of atmospheric mixing ratios [PDF]
Atmospheric Measurement Techniques, 2022 High-resolution model data are used to estimate the statistically typical mixing ratio variabilities of trace species as a function of distance and time separation.
A. Laeng +4 more
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Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs
Journal of High Energy Physics, 2019 We study two novel approaches to efficiently encoding universal constraints imposed by conformal symmetry, and describe applications to quantum chaos in higher dimensional CFTs.
Felix M. Haehl +2 more
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Reparametrizing swung surfaces over the reals [PDF]
Applicable Algebra in Engineering, Communication and Computing, 2014 Let K⊆R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces include, in particular, surfaces of revolution.
Carlos Andradas +4 more
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Crystallization of Water Mediated by Carbon
Geophysical Monograph Series, Page 77-86., 2020 This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Tianshu Li, Yuanfei Bi, Boxiao Cao
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Reparametrizations of Continuous Paths
, 2007 A reparametrization (of a continuous path) is given by a surjective weakly increasing self-map of the unit interval. We show that the monoid of reparametrizations (with respect to compositions) can be understood via ``stop-maps'' that allow to investigate compositions and factorizations, and we compare it to the distributive lattice of countable ...
Fahrenberg, Uli, Raussen, Martin
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