... Consequently, it is inappropriate to expand and in ordinary spherical harmonics. The proper expansion expresses both and simultaneously in terms of a particular order of generalized spherical harmonics. ... Generalized spherical harmonics start at , and for each , . ... Generalized spherical harmonics obey a sum rule analogous to a familiar one for ordinary spherical harmonics, but it includes an explicit phase factor which depends on the orientation of the two lines of sight. ...

The following general subroutines belong to the category FILES: . Related to files on disk'' In parentheses the name of the source file is given. AXPROPS . Return structure with axis properties for a set. ( axprops.c ) . ... Extends files to a certain number of bytes. ( fextend.c ) . ... Translates GIPSY filenames to legal filenames (if necessary). ( fname.c ) . ... Determines the size of a file in bytes. ( fsize.c ) . ... Truncates a file to a specified number of bytes. ( ftrunc.c ) . ...

General Information . ... The conference is organized by the Sternberg Astronomical Institute (SAI) of Moscow University and the IAU Working group "Site-testing Instruments" . ... Use of site data in telescope operation and adaptive optics. ... Recent conferences on this subject (2007, 2008) demonstrated great interest of the community, hence the need for a new meeting. ... Unlike previous recent conferences, this meeting will cover all aspects of site monitoring for optical/IR astronomy. ...

Laboratory of Physical-Chemical Basis of Crystallization . ... the melt growth of single crystals of inorganic compounds, mainly metal chalcogenides. a physical-chemical study of these compounds and systems where they originate of in order to facilitate their single crystal growth, or to achieve some desirable properties of these crystals. preparation of semiconductor, mainly metal chalcogenides, nanostructures and investigation of their properties. ...

LIST OF PUBLICATIONS (only pap ers) of the senior research assistant Korobkov Mikhail (Sob olev Institute of Mathematics, Sib erian Branch of the Russian Academy of Science, Novosibirsk, Russia) [1] Korobkov M.V. On a generalization of the connectedness concept and its application to differential calculus and the theory of stability of classes of mappings. Dokl. ... 3] Korobkov M.V. On stability of classes of Lipschitz mappings generated by compact sets of the space of linear mappings // Sibirsk. ...

Next: Examples of data contained Up: Electronic database Previous: Future plans . In astrophysics, the optical constants mainly are used to calculate the optical properties of scatterers, i.e. cross-sections, scattering matrix, etc. ... Optical properties derived from such models have been discussed in some books (see, e.g., [ 2 , 3 ]) and in principle can be calculated by using various light-scattering tools which are freely available via the internet [ 4 ]. ...

... Gas in Thermodynamic Equilibrium Conditions. Stellar Spectrums. Physical Basis of Spectral Classification of Stars. ... The Sun. General Stellar Feature of the Sun. ... Distribution of Brightness in Solar Disc. ... Chromosphere - Observations on Limb and Disc of the Sun, Basic Elements of Structure, Spectrum, Physical State. ... Solar Corona - Observation, Structure, Spectrum, Polarization, Dynamics, Rotation, Physical Condition. ... Interstellar Dust. ... Two Groups of Big Planets. ...

Next: RGCV for Steepest Up: Generalized Cross-Validation as a Previous: The Richardson-Lucy Algorithm . Cross-validation divides the data into two sets. ... Extending this concept, generalized cross-validation (GCV) uses each data point as the testing set, and then averages a weighted prediction error over the entire data set (Golub et al. ... The main drawback of the GCV criterion comes from the denominator of . ... and is now called the Randomized GCV (RGCV) criterion. ...

Next: Commentary Up: No Title Previous: Morlet transform of . It may be useful at this point to summarize the key formulae of wavelet transforms. Let us call the signal, the wavelet, the wavelet transform. Complex conjugation is denoted by an asterisk. The Fourier transform of a function is denoted by capital letters, and is defined in general as . Wavelet is called admissible if its norm . ... the inverse transform formula . ... Mon Nov 13 10:51:25 EST 1995 ...