... N.A.Bobylev, Yu.M.Burman, Morse lemmas for functionals of the variational calculus, Func.Anal.Appl., ... N.A.Bobylev, Yu.M.Burman. ... N.A.Bobylev, Yu.M.Burman, A.B.Shubin, Algorithms for control with a minimal number of switchings, Automation and remote control , V.53, 5:619, 1992. ... TeX file ) . ... Quadratic Poisson brackets compatible with an algebra structure . ... Yu.M.Burman. ... Yu.M.Burman, Whitney's index formula in higher dimensions and Laplace integrals , Preprint math.DG/9801044 . ...

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 ]. ...

... Thanks to special permission from Cambridge University Press, we are able to bring you the complete Numerical Recipes in Fortran 77 book On-Line! ... 1.0 Introduction 1 . ... 2.4 Tridiagonal and Band Diagonal Systems of Equations 42 . ... 3.2 Rational Function Interpolation and Extrapolation 104 . ... 7.2 Transformation Method: Exponential and Normal Deviates 277 . ... 9.6 Newton-Raphson Method for Nonlinear Systems of Equations 372 . ... 12.3 FFT of Real Functions, Sine and Cosine Transforms 504 . ...

Next: Description of the Up: Assessment of Methods Used Previous: Assessment of Methods Used . ... One knows the linear integral relationship between the object and the image and therefore one can try to restore the object by solving this equation. ... Approximate and stable solutions can be obtained using suitable techniques (regularized inversion methods). ... 2 we briefly describe the inversion methods we have used and in we give the numerical results we have obtained. ...

... Positive iterative deconvolution is an algorithm that applies non-linear constraints, conserves energy, and delivers stable results at high noise-levels. This is also true for Richardson-Lucy like algorithms which follow a statistical approach to the deconvolution problem. ... All algorithms resolve the objects, as shown by the reconstructions by Richardson-Lucy in Figure 2 on the right, the algorithm by M?ller in Figure 3 on the left and positive iterative deconvolution in Figure 3 on the right. ...

... Preliminary calculus 2. Complex numbers and hyperbolic functions 3. Series and limits 4. ... Vector algebra 7. Matrices and vector spaces 8. Vector calculus 9. ... Fourier series 11. ... Series solutions of ordinary differential equations 15. Eigenfunction methods for differential equations 16. ... PDEs: separation of variables and other methods 18. Complex variables 19. ... Calculus of variations 21. Integral equations 22. ... Numerical methods Appendix. ...

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. ...

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 ...

... The command CALIBRATE/LONG approximates the dispersion relation љ for each searched row of the arc spectrum. ... The mode GUESS allows a previously saved session to be used (command SAVE/LONG ) for the determination of the dispersion relation. ... The iterative identification loop consists of estimating the wavelength of all lines in the arc spectrum and associate them to laboratory wavelengths to refine the estimates of the dispersion relation. ...

The 6th INTEGRAL Workshop . The Obscured Universe . ... Workshop Information: . ... 7 495 621-1060 . ... 5-10 min from M. "Kuznestkii most", 25 min by subway to M.Kaluzhskaya, close to the center, 5 min walk to the Moscow's Bolshoi Theatre, 10 min walk to Red Square. ... 5 min walk from M.Smolenskaya, 30-35 min by subway to M.Kaluzhskaya, center, near the Moscow-river, Foreing Ministry, 2 min walk to the Arbat-street. www . ... 10 min walk from M.VDNKh, 40 min by subway to M.Kaluzhskaya. ...

... Астронет | ... планета Астронет | Физика космоса | ... Семинары | ... Семинары Семинар отдела теоретической физики высоких энергий НИИЯФ МГУ . ... T.M.Solov'eva (JINR) A method of numerical solution of relativistic integral equations for two-particle system with non-linear dependence on energy (by kandidat thesis). http://www.npi.msu.su/sinp.php3?sec=cursems&ref=1261 Поступило: 13 января 2003 6:34 . Последнее изменение: 13 января 2003 6:34 . ...

... Note that is assumed to be monotonically increasing - if it isn't, you'll get strange results. interface trapezoidSum function trapezoidSumSingle(x, y) result(summ) real(single), intent(in) :: x(:), y(size(x)) real(single) :: summ end function trapezoidSumSingle function trapezoidSumDouble(x, y) result(summ) real(double), intent(in) :: x(:), y(size(x)) real(double) :: summ end function trapezoidSumDouble end interface . ...

... 8, ``Celestial Mechanics'', 2002 Solution stabilization algorithms for the estimation of small bodies orbital parameters L. E. Bykova, V. P. Titarenko Tomsk State University, Tomsk, Russia Sometimes there is not enough information for the correct improvement of the orbits of the Solar system small bodies. ... Algorithms have been constructed on the basis of a linear least squares method using additional a priori information about the solution. ... E., Hanson R. J. Solving Least Squares Problems. ...

Next: Multi-frequency deconvolution - MFCLEAN Up: Deconvolution with maximum entropy Previous: Deconvolution with maximum entropy . ... The quality of the maximum entropy solution can depend very strongly on the rms and flux parameters - these parameters should be set with some care, or some experimentation may be necessary. ... map, beam : As with CLEAN, you give task maxen a dirty image and a dirty beam. default : You also have the option of supplying a default image. ... MAXEN . ... Dirty image . ...

... Magnetism . ... Avdeev, D.B., A.V. Kuvshinov, O.V. Pankratov, and G. A. Newman, 2002, Three-dimensional induction logging problems, Part I: An integral equation solution and model comparisons, Geophysics , 67, 413-426. ... Pankratov O.V., D.B. Avdeev, A.V. Kuvshinov, 1995, Electromagnetic field scattering in a heterogeneous earth: A solution to the forward problem, Izvestiya, Physics of the Solid Earth , 31, 201-209. ... Avdeev, D.B.,B.Sh.Singer, E.B.Fainberg, et al., ...

... Some equations, identities or formulas contain small quantities , and these can be made much simpler and easier to use by sacrificing a little accuracy. ... When we derive squares, 3rd powers, 4th powers etc. of numbers larger than 1 , the results are always bigger , while for numbers smaller than 1 , the results are always smaller . ... power . ... number . ... The above also holds for negative numbers, if one understands "bigger" and "smaller" to refer to the absolute value (the value without sign...

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. ...

To: file acf-to-spectrum.wpd From: Jon Hagen Date: April 2, 2004 Subject: Transforming correlation functions to spectra I. Recovering a Power Spectrum from a Sampled Autocorrelation Function The power spectrum, by definition, is the Fourier Transform of the autocorrelation function (ACF). ... Note also that the sampled ACF points extend only to some max, so the spectrum we calculate will have been effectively convolved with a smoothing function. ... Let us denote the cross spectrum as U() + jV(). ...

... Some equations, identities or formulas contain small quantities , and these can be made much simpler and easier to use by sacrificing a little accuracy. ... When we derive squares, 3rd powers, 4th powers etc. of numbers larger than 1 , the results are always bigger , while for numbers smaller than 1 , the results are always smaller . ... power . ... number . ... The above also holds for negative numbers, if one understands "bigger" and "smaller" to refer to the absolute value (the value without sign...

... the radiative transfer equation (RTE) for the randomly-irregular magnetized plasma has been derived on the base of general grounds of the multiple scattering theory . ... Solutions of several absolute tasks of the scattering theory have been obtained (on the optical depth of the ionospheric plasma layer, on the value of radio wave anomalous attenuation, on anomalous refraction, on the backscattered signal intensity for the source being placed within a plasma layer). ...