This method occupies a particular place among the methods of solution of diffraction problems. ... A detailed discussion of the questions connected with the application of the integral equations to light scattering problems can be found in [ 24 , 401 , 464 ]. For solution of the integral equations one uses different methods: method of moments, Galerkin method, etc. 228 , 243 , 265 , 380 , 434 , 467 , 495 , 500 ]. ...

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Subject of Celestial Mechanics. ... Differential Absolute Coordinates Equations of the Problem. ... General Integral of Non-Perturbed Motion. ... General Equation of Non-Perturbed Orbit. ... Other Integration Methods of Non-Perturbed Motion Differential Equations; Bine Equation for Case of Non-Perturbed Motion. ... Ellipsical Motion, Kepler Equation. ... Motion Differential Equations in Absolute Coordinates. ... Equation of System of Bodies Motion in Barycentric Coordinates, in Relative Coordinates. ...

Next: Initial conditions Up: Old neutron star distribution Previous: Introduction . The problem to be solved is to find stationary space distribution of stars which have had certain initial space and velocity distributions and move in a given potential. ... In principle, the most straightforward way to obtain the solution is to integrate directly the equations of motion for a sufficiently large number of stars with different initial conditions. ... Then space density is given by . ...

... Assured of a reliable method of solving the normal equations, we now consider the equations of condition. The observed magnitude m of a star at M air masses with true instrumental magnitude is modelled as ([ 10 ], [ 28 ]) . ... The effective extinction coefficient depends on the effective spectral gradient [ 29 ] of the star, for which we use some color index, affected by half the atmospheric reddening ([ 26 ], [ 10 ]): . ... Thus, for the B band of UBV, we use the (U-V) color. ...

Next: IDEA: Methodological Principles Up: Interactive Deconvolution with Error Previous: Interactive Deconvolution with Error . ... This is basically an ill-posed problem (Tikhonov and Arsenin 1977) because it does not fulfill the three Hadamard conditions of existence, uniqueness, and stability of the solution. The last condition of stability causes the main problems because if is not continuous, the solutions are unstable with respect to slight variations of initial data . ...

INTEGRABILITY OF HAMILTONIAN SYSTEMS . The necessary conditions of the existence of additional first integrals in Hamiltonian systems with n>=2 degrees of freedom are investigated. ... Ziglin S.L. Splitting of separatrices, branching of solutions and nonexistence of an integral in the dynamics of a rigid body. ... Ziglin S.L. Branching of solutions and nonexistence of first integrals in Hamiltonian systems. ... Зиглин С.Л ., ... Contact: Dr.Prof. Sergey L. Ziglin, tel. ... IRE RAS 1996-2006 ...

... Polar Cap Potential . ... The solar wind propagation delay time calculation used here is conceptually similar to the T(IMF) calculation in Kelly, et al. ... The older continuous data are from key parameter data files. ... Note: Very high values of Solar Wind Speed, Solar Wind Pressure, IMF Magnitude and Bz, and Polar Cap Potential are likely indications that WIND has reentered the Earth's magnetosphere; such data is not indicative of solar wind conditions or impending severe geomagnetic disruption. ...

REPORT ON THE SIMONS­IUM FELLOWSHIP 2013 AND DYNASTY FOUNDATION ILYA VYUGIN Results of the 2013 year On solvability of linear differential systems. ... On the linear indep endence of the system of functions. Consider the scalar Fuchsian linear diferential equation u(n) + b1 (z )u( n-1) + . ... The system consists of products of the functions xt and powers of fundumental solutions yi i (x) of some linear differential equation. ... Linear differential equations: monodromy, singular points. ...

. Russian (WIN) . 10-27/2/1999 . 6-28/1/1999 . For more information send a mail to: info@sputnik.infospace.ru . © 1998-2002 SMIS IKI RAN and SRC "PLANETA" Moscow, Russia.

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QED calculations of H2 molecule Vladimir A. Yerokhin St. Petersburg State Polytechnical University in collaboration with Krzysztof Pachucki Warsaw University FFK 2013, Pulkovo, St. Petersburg, October 7-11 Do we need QED for H2? ... 150, 51 (2011) An order of magnitude in precision every 14 years QED : -0.1964 (9) 5, 3039 (2009) Theory: J. Chem. ... Wave function is represented by a linear combination of basis functions Choice of the basis functions: · · Explicitly correlated basis set. ...