Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics
Mathematics, 2022 With the increasing requirements for energy, resources and space, numerous rock engineering projects (e [...]
Shaofeng Wang +4 more
doaj +1 more source
The ZX-calculus is incomplete for quantum mechanics [PDF]
, 2014 We prove that the ZX-calculus is incomplete for quantum mechanics. We suggest the addition of a new 'color-swap' rule, of which currently no analytical formulation is known and which we suspect may be necessary, but not sufficient to make the ZX-calculus
de Witt, Christian Schröder +1 more
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Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation [PDF]
, 2012 Analytical (rational) mechanics is the mathematical structure of Newtonian deterministic dynamics developed by D'Alembert, Lagrange, Hamilton, Jacobi, and many other luminaries of applied mathematics.
Hao Ge, H. Qian
semanticscholar +1 more source
On Applications of Semi-Analytical Methods of Contact Mechanics
Frontiers in Mechanical Engineering, 2020 This paper is concerned with possible applications of semi-analytical methods of frictional contact mechanics. The semi-analytical solutions, such as the Method of Memory Diagrams, enable the load-displacement relationship for contact of two axisymmetric
Vladislav V. Aleshin +1 more
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Learning Processes in Mechanics of Structures: Allying Analytical and Numerical Approaches
Education Sciences, 2020 This paper reports pedagogical experiences and educational techniques in the field of Mechanics of Structures (Mechanical Engineering degree), resorting to computational tools. Several aspects are addressed, covering CAD (Computer-Aided Design) modelling
Fábio A. O. Fernandes +4 more
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An Analytical Study on the Mechanism of Grouping of Droplets
Fluids, 2022 The condition for the formation of droplet groups in liquid sprays is poorly understood. This study looks at a simplified model system consisting of two iso-propanol droplets of equal diameter, Dd0, in tandem, separated initially by a center-to-center distance, a20, and moving in the direction of gravity with an initial velocity, Vd0>Vt, where Vt is
Visakh Vaikuntanathan +6 more
openaire +4 more sources
AV-differential geometry and Newtonian mechanics [PDF]
, 2006 A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
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Udwadia–Kalaba Equation for Constrained Mechanical Systems: Formulation and Applications
Chinese Journal of Mechanical Engineering, 2018 There are many achievements in the field of analytical mechanics, such as Lagrange Equation, Hamilton’s Principle, Kane’s Equation. Compared to Newton–Euler mechanics, analytical mechanics have a wider range of applications and the formulation procedures
Xiao-Min Zhao +3 more
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Close Binary Stars Modeled by Two Prolate Ellipsoids in Synchronous Rotation
The Astronomical Journal, 2023 The presence of tidal deformations in close binary stars has already been confirmed by astronomical observations. The present paper aims to simply address an astronomy problem, studying the relative movement of close binaries disturbed by their mutual ...
Antonio Elipe +3 more
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From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"
, 2001 In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint operators and so
Bayen F. +7 more
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