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Published in 2022 at "Journal of Chemical Information and Modeling"
DOI: 10.1021/acs.jcim.2c00515
Abstract: The principle of least action is the cornerstone of classical mechanics, theory of relativity, quantum mechanics, and thermodynamics. Here, we describe how a neural network (NN) learns to find the trajectory for a Lennard-Jones (LJ)…
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Keywords:
principle least;
neural network;
action;
least action ... See more keywords
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Published in 2021 at "Scientific Reports"
DOI: 10.1038/s41598-021-81722-6
Abstract: The principle of least effort has been widely used to explain phenomena related to human behavior ranging from topics in language to those in social systems. It has precedence in the principle of least action…
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Keywords:
principle;
interceptive walking;
action principle;
mechanics ... See more keywords
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Published in 2017 at "Contemporary Physics"
DOI: 10.1080/00107514.2017.1403477
Abstract: Jennifer Coopersmith’s popular book on the principle of least action is titled ‘The lazy universe’. This book is based on the monograph of Lanczos called ‘The variation principles of mechanics’. In the preface, Coopersmith claims…
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Keywords:
principle least;
book;
coopersmith;
mechanics ... See more keywords
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Published in 2018 at "Physics of Particles and Nuclei Letters"
DOI: 10.1134/s1547477118050059
Abstract: The least action principle is established for the dynamics of a test particle in a dilaton-Maxwell background. These dynamics and background are invariant under the action of the dilatation transformation; explicit form of the corresponding…
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Keywords:
dilaton maxwell;
electrodynamics;
action principle;
lorentz force ... See more keywords