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 ]. ...

... 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. ...

... At the simplest level of modelization, these phenomena are described by reaction-diffusion equations. The theory of this type of equation is far away from being fully understood but one can give however several results providing in some cases existence of solutions and their qualitative behaviour. ... Reaction-diffusion equations. ... Theory of uniformly elliptic equations: existence, regularity, Schauder theory, Agmon-Douglis-Nirenberg theory, Harnack estimates, boundary Harnack principle. ...

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 Main Problems of the Course. ... Some Knoleges from Mechanics, the Main Dynamics Equations for Bodies of Variable Mass, Meshchersky Equation. ... Rocket Motion on Powered Trajectory. ... The Law of Attracting Centre Distance Change. ... The Main Integrals of Motion. Satellite Orbit Equation, Motion Velocity, Orbital Period. ... Forces Affecting on the Artificial Satellites of the Earth. ... Influence of Planet Oblateness on Satellite Motion, Influence of Atmospheric Braking on Satellite Orbit. ...

... Data . ... WFPC2 Home . ... A common analysis problem for WFPC2 observations is the subtraction of the PSF from a much fainter background object. ... Make PSF observations at the same location. ... Make PSF observations using the same filter, and using a star with a similar spectrum. ... Observers with M(target) -- M(bright star) larger than the limiting values in the center column should be prepared to use PSF subtraction (i.e., using PSF from Tiny Tim, the archives, or their own observations). ...

... This example illustrates the use of external files as the source for a layer. This example creates a web page for Nikki's Diner, which is a vegan restaurant that offers tasty daily specials. The web page contains some general information about the diner, and then offers a pop-up menu that lists the days of the week. ... These files contain HTML formatted text that describes the specials for that day. ... LAYER ID="menu" LEFT=50 WIDTH=400 src="specials/sat.htm"> </LAYER> . ...

... The two approaches to CFD Smo othe d Particle Hydro dynamics Flui d is represente d by a collection of particles that move w ith the flow The key to SPH is a metho d for interpolating flui d quantities from a disordere d set of po ints Kernel interpolation For any flui d property A, we can write an interpolant W is the interpolating kernel AI (rI ) = A(r ) W (r - rI , h) dV V ... What physics is important (hydro dynamics, magnetic fields, ra diation)? ...

Next: Visualization of the Up: Multiresolution with scaling Previous: The Wavelet transform . If the wavelet is the difference between two resolutions, an evident reconstruction for a wavelet transform is: . But this is a particular case and other wavelet functions can be chosen. ... We plot in figure the chosen scaling function derived from a B-spline of degree 3 in the frequency space and its resulting wavelet function. ... We compute the FFT of the image at the low resolution. ...

The main focus of my research is the study of stellar mass in galaxies, in particular: calibration of stellar mass photometric estimators, including testing of stellar population synthesis models; resolved studies of the stellar mass distribution, using imaging, integral field spectroscopy (in collaboration with CALIFA), infrared data constraining the amount and properties of dust (in collaboration with KINGFISH and HeViCS). ...

... Thus all regions of the 0.94-2.50 micron wavelength range accessible from Mauna Kea can be recorded using five fixed angle gratings. ... Grating Angle . ... Efficiencies for the NIFS gratings are shown above. The NIFS spectrograph uses a Bouwers collimator and a refractive camera. ... With these assumptions, the NIFS system efficiency including the Gemini telescope optics but excluding the transmission of the adaptive optics system is about 0.17 e - /photon at J , and 0.22 e - /photon at H and K . ...

. Next: To display other sizes Up: *display, xdisplay, xexamine* - Previous: To display a particular . tv> xdisplay ``xdata$rp110590.qp[block=30,time=(1611600:1612600)]'' . N.B. Use timfilter to obtain available times in the image . rsdc@cfa.harvard.edu . 1998-06-10

... CERGA, Grasse, France We give an analytical solution of the Lagrange planetary equations expressed in a set of non singular elements for eccentricity: the semi­major axis a, the inclination i, the ascending node \Omega\Gamma – = !+ ... where e denotes the eccentricity. ... More precisely, the first part of the differential system verified by C and S corresponds to a harmonic oscillator: our method takes into account, in a first step, long period variations of 4 elements: C, \Omega\Gamma S, and –. ...

... 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). ...

The 6th INTEGRAL Workshop . The Obscured Universe . ... The main goal of this workshop is to consider (via invited and contributed talks and posters) the scientific problems in the field of high energy astrophysics which are possible to solve using the International Gamma-Ray Astrophysics Laboratory INTEGRAL as well as to present and discuss the scientific results already obtained by this observatory and its coordinated observations with on-ground telescopes and other spacecrafts. ...

... A Year on the Sun . ... 26.04.2013 . ... Credit Copyright: NASA , Solar Dynamics Observatory Explanation: Our solar system's miasma of incandescent plasma , the Sun may look a little scary here. The picture is a composite of 25 images recorded in extreme ultraviolet light by the orbiting Solar Dynamics Observatory between April 16, 2012 and April 15, 2013. ... Three years of Solar Dynamics Observatory images are compressed into this short video . ... Active Region 1002 on an Unusually Quiet Sun . ...

... 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., ...

Next: Explosive Events Up: Technical Research Summaries Previous: Dynamics of Co-orbital Satellites Contents . The solar group continues to make excellent use of both existing and new data from the SoHO satellite, in particular, data from the SUMER, CDS, EIT and MDI instruments, in addition to data from the TRACE satellite. ... A new line of investigation was started in late 2004, i.e. the origin of radio emission from brown dwarfs. ... Explosive Events . ...

... Baryshnikova Yu.S., Zaslavskii G.M., Lupyan E.A., Moiseev S.S., Sharkov E.A. Fractal dimension of IR-images of cloudedness and turbulent atmosphere properties - Earth Invest. Space, 1989, No 1, pp.19-26. ... Moiseev S.S. Spiral mechanism of large-scale structure generation in continuous media. ... Reprint of IKI RAS Pr -1844, IKI, Moscow, 1992, - 45 p. Zimin V.D., Levina G.V., Moiseev S.S., Startsev S.E., Shvarts K.G. On the physical mechanism of large-scale generation in the turbulent convection. ...

... 295, 2003 H. E. Payne, R. I. Jedrzejewski, and R. N. Hook, eds. Calibration of BIMA Data in AIPS++ Daniel Goscha, David M. Mehringer, Raymond L. Plante National Center for Supercomputing Applications Anuj Sarma University of Il linois Abstract. ... Finally, we will present a comparison of data calibrated in MIRIAD and AIPS++. ... Introduction We present the results of a comparison of calibrated millimeter data from the Berkeley-Illinois-Maryland Association (BIMA) Array using both AIPS++ and MIRIAD....