... The absolute Galois group of Q, denoted Gal(\bar{Q}/Q) in the sequel, is a fundamental object in arithmetics since it carries a lot of informations about number fields. ... A classical way to study this group is to use p-adic numbers. ... firstly, we will explain the classical d vissage of Gal(\bar{Q_p}/Q_p) based on ramification theory; as a corollary, we will deduce that any finite extension of Q_p is resoluble; . ...

... The perceptron structure, on the basis of which the database is built, is defined by a number of the input and output parameters and a required accuracy. ... The output perceptron data are the expansion coefficients of the scattering matrix elements in series of the generalized spherical functions. ... As the cluster structure depends on the generation conditions the expansion coefficients were averaged over 5--7 realizations of the clusters (for N . ... is the coefficient number. ...

... GSAOI Home . ... Science . ... Deep imaging at J , H , and K is required to identify all stellar objects, brown dwarfs, and planetary mass objects in the central region of the Orion Nebula Cluster down to masses comparable to that of Jupiter. This is required to establish the initial mass function, i.e., the number of stars of each mass that have formed, in this region of intense massive star formation. ... The fields of the GSAOI detectors are shown as four green squares in each frame. ...

specification option,s,h, ,,, Conversion option # # Position of photon in different coord systems # chip _id,i,l,1,,, Chip ID number chipx,r,l,961.3484903245844,,, Chip X ( pixel ) chipy,r,l,566.5623625239413,,, Chip Y ( pixel ) tdetx,r,l,4565.437638067278,,, TDETX ( pixel ) tdety,r,l,5068.348490672888,,, TDETY ( pixel ) detx,r,l,4521.589306057449,,, FPC X ( ...

... Let us first find out which way -- rise in spectral resolution with some loss in the S/N ratio or increase in the S/N ratio with a fixed spectral resolution -- is better for the purpose of reduction of equivalent width determination errors. ... N -- number of counts for 1 ? ... line equivalent width, . ... Thus if the spectral resolution is managed to be increased (i.e. to decrease )without loss in the number of counts falling at 1 ?, the equivalent width measurement error is then proportional to . ...

... As basic observational stages to be compared with calculations, we have chosen the objects listed in Table  4 . It is important to note that we use the total accretion X-ray luminosity   for low-mass X-ray binaries and not their total number, since the total accretion luminosity in the Galaxy = (average luminosity of the individual sources) (number of sources) (average stage duration) and thus is independent of the poorly known values of accretion rate and accretion stage duration . ...

... Irreducible and full set of independent orthogonal dimensionless parameters in the `velocity normalised basis' Symbol M Ma Name Mach number Magnetic Mach ( Mach ­ AlfvИn) Strouhal Trieste numbers ( set ) Velocity-emission Formula / Definition Signifiance Temperature Governing MHD equations with dissipation and radiation v v c s S V vt x Magnetic ... DOI: 10.1016/j.asr.2005.03.084 ...

... Field size . Object name . ... Map size . ... Field size: the approximate size of the map in the Y direction. ... Galaxies: . ... Galaxies, which size exceeds some value depending on the field and map sizes, are displayed with their real positional angles and sizes by 25m isophote. ... In the "tools" fields there are links to the several famous AVO (Astrophysical Virtual Observatory) resources: NED and Simbad databases and DSS2 (Palomar Digitized Sky Survey) images of the corresponding sky area. ...

New reduction of minor planets photographic plates obtained with Pulkovo Normal Astrograph A.A. Berezhnoy Pulkovo Observatory of RAS, Saint-Petersburg, Russia Minor Planet observations at Pulkovo Periodical observations of 14 bright asteroids named Selected Minor Planets (SMP) were performed at Pulkovo since 1948 within the international framework started by works of B.V. Numerov and D. Brouwer. ... 108 133 113 74 124 67 97 88 14 84 64 5 20 19 Epochs (YYYY.MM) 1200 Mean values of total obs. ...

... Co-ordinate systems description . Directories structure . The file names' construction . The file set description . ... The orbital information for each month is presented in the separate directory. The INTERBALL orbital data are located on the STDA server, for each month in the separate subdirectory, which name consists from the year (YYYY) and month (MM) numbers. The Parent Directory of the Tail Probe orbital data is http://www.iki.rssi.ru/da/interball/tail/orbit/ . ...

... Asteroid . ... In case you didn't hear about it, which you probably didn't: On Jan. 7, an asteroid 1,000 feet across -- nearly three times the current diameter of Marlon Brando -- barely missed the Earth, which is most likely your planet of residence. ... What if this asteroid had hit the Earth? ... As it happens, the American Astronomical Society was holding a conference in Washington AT THE VERY SAME TIME as the asteroid nearly hit the Earth. ...