The following sections are included:OrientationSome Words on the Fundamentals of Our SubjectMetric Spaces and Spaces of ParticlesVectors and Vector SpacesNormed Spaces and Inner Product SpacesForcesEquilibrium and Motion of a Rigid BodyD'Alembert's PrincipleThe Motion of a System of ParticlesThe Rigid...
H. Bergeron. From classical to quantum mechanics: "How to translate physical ideas into mathematical language". J. Math. Phys., 42(9): 3983-4019, 2001.Bergeron H 2001 From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language" J. Math. Phys. 42 3983...
The first transition, observed between 1930 and 1940, can be associated to the period when Statistics and Probability merged together, attracting then more applied disciplines like information theory, game theory and statistical mechanics, and leading to the emergence of the field of applied ...
(This works because I've added thesicm/bindirectory to my path. You'll need to do that too, or give this command the full path to thebin/mechanicsprogram.) When I'm in a file in the project, I can typeM-x mechanics, and Emacs will start up a REPL running themechanicscode, with...
Furthermore, if we neglect any difference between tension and compression yield (no Bauschinger effect), then we have additional symmetry about directions orthogonal to each project principal axes. Collecting these ideas together provides the conclusion that a general yield locus must repeat over twelve...
This paper provides an analytical and formal framework for economists, researchers, and policymakers who are interested in the mechanics of value creation in modern economies. Here’s why you should explore this research: Comprehensive Framework: The paper introduces the Value Creation Transformation Theo...
One of the most promising areas of research to obtain practical advantage is Quantum Machine Learning which was born as a result of cross-fertilisation of ideas between Quantum Computing and Classical Machine Learning. In this paper, we apply Quantum Machine Learning (QML) frameworks to improve bin...
The understanding of turbulent flows is one of the biggest current challenges in physics, as no first-principles theory exists to explain their observed spatio-temporal intermittency. Turbulent flows may be regarded as an intricate collection of mutually
Physics has changed so much, and even the practice of Newtonian mechanics is now so different, that the original text itself is superseded and superfluous. It is unlikely that one becomes a better physicist by understanding Newton in the original. Progress means that the civilization, and its ...
With all of the ideas above, we are finally in a position to describe the commercial routing optimization problem that we aim to address with an optimization workflow. For brevity, we will refer to the most general (and potentially complicated) of these commercial routing problems as the “logi...