Results 11 to 20 of about 2,043,284 (342)
Symmetries and symmetry breaking [PDF]
In understanding the world of matter, the introduction of symmetry principles following experimentation or using the predictive power of symmetry principles to guide experimentation is most profound. The conservation of energy, linear momentum, angular momentum, charge, and CPT involve fundamental symmetries.
W. T. H. van Oers, W. T. H. van Oers
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AbstractWe advocate an account of dualities between physical theories: the basic idea is that dual theories are isomorphic representations of a common core. We defend and illustrate this account, which we call a Schema, in relation to symmetries. Overall, the account meshes well with standard treatments of symmetries.
Jeremy Butterfield+2 more
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A well-known result by Palamidessi tells us that πmix(the π-calculus with mixed choice) is more expressive than πsep(its subset with only separate choice). The proof of this result analyses their different expressive power concerning leader election in symmetric networks.
Peters, Kirstin, Nestmann, Uwe
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Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source
We define on-shell symmetries and characterize them for Lagrangian systems. The terms appearing in the variation of the Poincaré–Cartan form, which vanish because of field equations, are found to be strongly constrained if the space of solutions has to be preserved.
FATIBENE, Lorenzo+2 more
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Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance
We carry out group classification of a general bond-option pricing equation. We show that the equation admits a three-dimensional equivalence Lie algebra.
Tanki Motsepa+2 more
doaj +1 more source
Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System
We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method.
Catherine Matjila+2 more
doaj +1 more source
Semiclassical transport in nearly symmetric quantum dots. I. Symmetry breaking in the dot [PDF]
We apply the semiclassical theory of transport to quantum dots with exact and approximate spatial symmetries; left-right mirror symmetry, up-down mirror symmetry, inversion symmetry, or fourfold symmetry.
Kopp, Marten+2 more
core +2 more sources
Exact solutions of equal-width equation and its conservation laws
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood+2 more
doaj +1 more source
In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi+1 more
doaj +1 more source