Results 221 to 230 of about 14,634 (264)

A Lagrangian Approach to Optimal Design

Biometrika, 1974
where u is a column vector of k components and prime denotes transpose. The D-optimal design problem is to determine a A which maximizes log det M(A). Now log det is a concave function on the set of nonnegative-definite symmetric matrices and so the D-optimal problem can be regarded as a particular case of the following one, which we shall call the qs ...
Silvey, S. D., Titterington, D. M.
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Lagrangian and non-Lagrangian approaches to electrodynamics including supersymmetry

AIP Conference Proceedings, 2007
We take a general approach to nonlinear electrodynamics that includes non‐Lagrangian as well as Lagrangian theories. We introduce the constitutive tensors which, together with Maxwell's equations, describe nonlinear electrodynamics in an extremely general way.
Steven Duplij, Gerald A. Goldin, Vladimir Shtelen, Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmeier, Theodore Voronov   +6 more
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An Approach to the Eulerian-Lagrangian Problem

Journal of Mathematical Physics, 1962
The generalization is developed, for n functions of n variables, of the Kac-Rice theorem on the occurrence of zeros of a random function, and is applied to a particular kind of vector integral equation in a single independent variable (time) by discretizing the time axis.
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Lagrangian Approach to Quasiconvex Programing

Journal of Optimization Theory and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Learn the Lagrangian: A Vector-Valued RKHS Approach to Identifying Lagrangian Systems

IEEE Transactions on Cybernetics, 2016
We study the modeling of Lagrangian systems with multiple degrees of freedom. Based on system dynamics, canonical parametric models require ad hoc derivations and sometimes simplification for a computable solution; on the other hand, due to the lack of prior knowledge in the system's structure, modern nonparametric models in machine learning face the ...
Ching-An Cheng, Han-Pang Huang
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Lagrangian fractional mechanics — a noncommutative approach

Czechoslovak Journal of Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Lagrangian approach to bungee jumping

Physics Education, 2020
Abstract The fact that a bungee jumper can reach an acceleration greater than the acceleration of gravity is, also from a physics point of view, intriguing. Taking only gravity into account, it can be explained by applying conservation of energy or by deriving carefully the equation of motion in a Newtonian approach.
Heck, A., Uylings, P.
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Lagrangian Approach for Bounded Plasmas

Physica Scripta, 2004
Lagrangian variables are used to describe both surface and volume nonlinear oscillations of spatially bounded plasmas. Simple exact, or nonperturbative, solutions can often be obtained for complicated problems. Here, several recent analytical results on nonlinear standing waves in bounded systems are reviewed.
Sh. Amiranashvili, M. Y. Yu
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Lagrangian approach for dark solitons

Optics Communications, 1995
We propose a variational formalism for dark solitons based on a nontrivial modification of the standard Lagrangian of the nonlinear Schrodinger equation. Our approach allows to consider a variety of asymptotically nonvanishing localised solutions for applying a variational technique together with the correct definition of momentum and energy.
Yuri S. Kivshar, Wiesław Królikowski
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The Lagrangian Approach To Hydrodynamics

1996
Let Θ be a bounded domain in Rn with a smooth boundary. Consider the space L2 (Θ) of square integrable scalar functions. To define the Sobolev space Hs(Θ) for all s ∈ Z we first set H°(Θ) = L2(Θ).
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