Results 11 to 20 of about 11,355 (304)

The uncertainty principle: Variations on a theme [PDF]

open access: yesBulletin of the American Mathematical Society, 2021
We show how a number of well-known uncertainty principles for the Fourier transform, such as the Heisenberg uncertainty principle, the Donoho–Stark uncertainty principle, and Meshulam’s nonabelian uncertainty principle, have little to do with the structure of the Fourier transform itself.
Avi Wigderson, Yuval Wigderson
openaire   +2 more sources

Theory of variational quantum simulation [PDF]

open access: yesQuantum, 2019
The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and ...
Xiao Yuan   +4 more
doaj   +1 more source

Billiards in confocal quadrics as a Pluri-Lagrangian system [PDF]

open access: yesTheoretical and Applied Mechanics, 2016
We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
Suris Yuri B.
doaj   +1 more source

Variational Integrators [PDF]

open access: yes, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

Local variational principle [PDF]

open access: yesPhysical Review E, 2002
15 pages, 5 figures, one more section ...
openaire   +3 more sources

An Analytical Solution for the Deformation of Soft Ground Reinforced by Columnar Inclusions under Equal Stress Conditions

open access: yesApplied Sciences, 2022
Columnar inclusion is a versatile and cost-effective technique for improving weak soils. Currently, most approaches are based on the “equal strain” assumption to calculate the deformation of soft ground reinforced by columnar inclusions. In this study, a
Zan Zhou   +3 more
doaj   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

open access: yes, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

New Variational Principles for Two Kinds of Nonlinear Partial Differential Equation in Shallow Water [PDF]

open access: yesJournal of Applied and Computational Mechanics
Variational principles are very important for a lot of nonlinear problems to be analyzed theoretically or solved numerically. By the popular semi-inverse method and designing trial-Lagrange functionals skillfully, new variational principles are ...
Xiao-Qun Cao   +4 more
doaj   +1 more source

On the Existence and Applicability of Extremal Principles in the Theory of Irreversible Processes: A Critical Review

open access: yesEnergies, 2022
A brief review of the development of ideas on extremal principles in the theory of heat and mass transfer processes (including those in reacting media) is given. The extremal principles of non-equilibrium thermodynamics are critically examined.
Igor Donskoy
doaj   +1 more source

Thermomechanical Variational Principles for Dissipative Materials with Application to Strain Localization in Bulk Metallic Glasses [PDF]

open access: yes, 2004
This thesis is concerned with variational principles for general coupled thermomechanical problems in dissipative materials including finite elastic and plastic deformation, non-Newtonian viscosity, rate sensitivity, arbitrary flow and hardening rule, as
Yang, Qiang
core   +1 more source

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