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Classical mechanics involves position and momentum variables that must be special coordinates chosen to promote to suitable quantum operators. Since classical variables may be broadly chosen, only unique variables should be chosen. We will…

General Physics · Physics 2022-09-08 John R. Klauder

The notion of concept drift refers to the phenomenon that the distribution, which is underlying the observed data, changes over time; as a consequence machine learning models may become inaccurate and need adjustment. While there do exist…

Machine Learning · Computer Science 2020-06-24 Fabian Hinder , Barbara Hammer

This is an intuitive introduction to classic sliding mode control that shows how the associated assumptions and condition for its use arise in the context of a derivation of the method. It derives a controller that obviates the need for the…

Systems and Control · Computer Science 2017-05-01 Ogbeide Imahe

These notes provide an introduction to a number of those topics in Classical Mechanics that are useful for field theory.

Classical Physics · Physics 2021-02-26 D. G. C. McKeon

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

An imprecise measurement of a dynamical variable (such as a spin component) does not, in general, give the value of another dynamical variable (such as a spin component along a slightly different direction). The result of the measurement…

Quantum Physics · Physics 2022-10-12 Asher Peres

Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and that they allow converting an undriven…

Mathematical Physics · Physics 2020-09-10 Z. E. Musielak , L. C. Vestal , B. D. Tran , T. B. Watson

Classical Bianchi-Lie, Backlund and Darboux transformations are considered. Their generalizations for the dynamical systems are discussed. For the transformation being the generalization of the normal shift the special class of dynamical…

chao-dyn · Physics 2008-02-03 A. Yu. Boldin , R. A. Sharipov

Classical semantics assumes that one can model reference, predication and quantification with respect to a fixed domain of precise referent objects. Non-logical terms and quantification are then interpreted directly in terms of elements and…

Artificial Intelligence · Computer Science 2023-05-11 Brandon Bennett , Lucía Gómez Álvarez

Multi-Context Systems are an expressive formalism to model (possibly) non-monotonic information exchange between heterogeneous knowledge bases. Such information exchange, however, often comes with unforseen side-effects leading to violation…

Artificial Intelligence · Computer Science 2015-03-19 Antonius Weinzierl

In an effort to understand the glass transition, the kinetics of a spin model with frustration but no quenched randomness has been analyzed. The phenomenology of the spin model is remarkably similiar to that of structural glasses. Analysis…

Statistical Mechanics · Physics 2009-10-31 Bulbul Chakraborty , Lei Gu , Hui Yin

Semi-classical approaches approximate fully quantum descriptions with partially classical ones. Here we use a toy model to highlight the failings of the standard mean-field semi-classical approach, and show how including environmental…

Quantum Physics · Physics 2026-04-10 Isaac Layton

When compared to quantum mechanics, classical mechanics is often depicted in a specific metaphysical flavour: spatio-temporal realism or a Newtonian "background" is presented as an intrinsic fundamental classical presumption. However, the…

General Physics · Physics 2025-05-30 C. Baumgarten

Designing a controller for autonomous vehicles capable of providing adequate performance in all driving scenarios is challenging due to the highly complex environment and inability to test the system in the wide variety of scenarios which…

Machine Learning · Computer Science 2019-12-24 Sampo Kuutti , Richard Bowden , Yaochu Jin , Phil Barber , Saber Fallah

A simple toy model is proposed that would allow conscious perceptions to be either classical (perceptions of objects without large quantum uncertainties or variances) or highly quantum (e.g., having large variances in the perceived position…

Quantum Physics · Physics 2022-12-07 Don N. Page

Within the continuous endeavour of improving the efficiency and resilience of air transport, the trend of using concepts and metrics from statistical physics has recently gained momentum. This scientific discipline, which integrates…

Data Analysis, Statistics and Probability · Physics 2025-07-29 Felipe Olivares , Massimiliano Zanin

There are errors in the dynamics model in \cite{b1}. In addition, some details of the derivations and assumptions are missing in the paper. This letter was submitted to the IEEE Transactions on Mechatronics and although reviewers…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Mohammad Biglarbegian

Most machine learning models are static, but the world is dynamic, and increasing online deployment of learned models gives increasing urgency to the development of efficient and effective mechanisms to address learning in the context of…

Machine Learning · Computer Science 2016-11-16 Geoffrey I. Webb , Roy Hyde , Hong Cao , Hai Long Nguyen , Francois Petitjean

The purpose of this paper is to show the magic of physics by showing the physics of magic. What usually makes magic tricks interesting is that something unexpected occurs. Similarly, demonstrations are interesting inasmuch as they produce…

Physics Education · Physics 2007-05-23 Nathaniel Lasry , Pierre-Osias Christin

The terminological landscape is rather cluttered when referring to autonomous driving or vehicles. A plethora of terms are used interchangeably, leading to misuse and confusion. With its technological, social and legal progress, it is…

Artificial Intelligence · Computer Science 2021-03-22 David Fernández Llorca