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High-performance combinatorial optimization based on classical mechanics. [PDF]

open access: yesSci Adv, 2021
Massively parallel implementations of algorithms based on classical mechanics realize high-performance combinatorial optimization. Quickly obtaining optimal solutions of combinatorial optimization problems has tremendous value but is extremely difficult.
Goto H   +8 more
europepmc   +2 more sources

Metal Ion Modeling Using Classical Mechanics. [PDF]

open access: yesChem Rev, 2017
Metal ions play significant roles in numerous fields including chemistry, geochemistry, biochemistry, and materials science. With computational tools increasingly becoming important in chemical research, methods have emerged to effectively face the ...
Li P, Merz KM.
europepmc   +2 more sources

Classical Mechanics

open access: yesThe Unity of Science, 2021
This chapter applies our reasoning about structure in physics to two formulations of classical mechanics, Lagrangian and Newtonian mechanics, that are generally taken to be completely equivalent. It argues that these two formulations differ in both the type and amount of structure presupposed by their dynamical laws, as revealed by the invariances of ...
D. Bensimon
semanticscholar   +6 more sources

The Foundation of Classical Mechanics

open access: yesEncyclopedia, 2021
Mechanics is the science of the equilibrium and motion of bodies subject to forces. The adjective classical, hence Classical Mechanics, was added in the 20th century to distinguish it from relativistic mechanics which studies motion with speed close to ...
Danilo Capecchi
doaj   +3 more sources

Generalized Uncertainty Principle, Classical Mechanics, and General Relativity [PDF]

open access: yesPhysics Letters B, 2020
The Generalized Uncertainty Principle (GUP) has been directly applied to the motion of (macroscopic) test bodies on a given space-time in order to compute corrections to the classical orbits predicted in Newtonian Mechanics or General Relativity.
Roberto Casadio, Fabio Scardigli
doaj   +2 more sources

Overall equilibrium in the coupling of peridynamics and classical continuum mechanics

open access: yesComputer Methods in Applied Mechanics and Engineering, 2021
Coupling peridynamics based computational tools with those using classical continuum mechanics can be very beneficial, because it can provide a means to generate a computational method that combines the efficiency of classical continuum mechanics with ...
Greta Ongaro   +2 more
exaly   +2 more sources

Geometric Fabrics: Generalizing Classical Mechanics to Capture the Physics of Behavior [PDF]

open access: yesIEEE Robotics and Automation Letters, 2021
Classical mechanical systems are central to controller design in energy shaping methods of geometric control. However, their expressivity is limited by position-only metrics and the intimate link between metric and geometry.
Karl Van Wyk   +11 more
semanticscholar   +1 more source

Type II entanglement in classical mechanics

open access: yesResults in Physics, 2021
A classical analog of entanglement using classical light beams was proposed recently. It was shown that this analog is valid only for single-particle entanglement (type II).
Yehuda Roth
doaj   +1 more source

Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]

open access: yesEPJ Web of Conferences, 2022
Decoherence theory explains how quantum mechanics gives rise to classical mechanics through the entanglement of a quantum system’s evolution with the degrees of freedom of the environment.
Bringuier Eric
doaj   +1 more source

Classical mechanics [PDF]

open access: yesPhysics, Structure, and Reality, 1999
This chapter applies our reasoning about structure in physics to two formulations of classical mechanics, Lagrangian and Newtonian mechanics, that are generally taken to be completely equivalent.
H. Goldstein
semanticscholar   +1 more source

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