| From this point of view a curve or a surface can be identified with a linear functional over the class of variational integrands. |
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| The first step in solving such equations by the variational method is to show that the extremum is attained. |
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| Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry. |
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| When astronomers talk about the evolution of a star, they clearly do not have a variational theory like Darwin's in mind. |
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| Problems remained, however, which Kirchhoff solved using variational calculus. |
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| It was one of the earliest variational problems and its investigation was the starting point for the development of the calculus of variations. |
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| He developed variational techniques that produced major advances in several fields of mathematical physics. |
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| Regarding complexity pertaining to the variational approach, Ref. describes a little complexional overhead. |
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| Between 1917 and 1919 he worked on the variational calculus. |
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| Both element and global force-displacement equations are developed using both the variational and direct stiffness methods. |
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| This paper proposes a novel probabilistic variational method with deterministic annealing for the maximum a posteriori estimation of complex stochastic systems. |
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| Estimation and modelling of background error covariances for global four-dimensional variational data assimilation. |
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| The great mathematicians of Classical times were very interested in variational problems. |
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| Research in forecasting and data assimilation methodologies employing models, variational assimilation codes and other numerical methods. |
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| The variational analysis was adapted to the uniform resolution of 0.9° and to the forecasts provided by the new model. |
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| The emphasis is on techniques, such as Kalman filtering and four-dimensional variational assimilation, and meso-scale or regional data assimilation using Doppler radars and wind profilers. |
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| The variational formulation of this problem leads to hemivariational inequality with a nonsmooth functional defined on the contact boundary. |
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| In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x ∗ of a finite family of strictly pseudocontractive mappings, which solve the variational inequality. |
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| In these papers, the main tools are respectively Morse theory, minmax argument and variational integral. |
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| In this form of composition, two or more sections are based on the same musical material, which is treated with different variational techniques in each section. |
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| That same variational approach played a major role in the development by French mathematicians in the early 1800s of a theory of small transverse displacements and vibrations of elastic plates. |
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| His work represents one of the first applications of recent advances in variational inequality mathematics to the field of frictional contact mechanics. |
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| Models based on optimization and variational calculus. |
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| Finally, Section 3 discusses the nature of the problem of dynamical imbalances and proper ways to control them within the variational analysis context. |
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| These aspects are outside the scope of the present lectures since we concentrate on the formulation which leads to the CMC variational analysis scheme. |
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| This course covers the following major topic areas: Schrodinger equation for the H-atom, hydrogen-like orbitals, energy levels and atomic transitions, multi-electron atoms, variational principle, Hund's Rule. |
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| The field equations can be obtained from a thermodynamic variational principle which extremises the total heat density of all null surfaces. |
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| A Spatially Adaptive Retinex Variational Model for the Uneven Intensity Correction of Remote Sensing Images. |
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