We present the basics of number theory emphasizing the striking similarity between the properties of usual integers and those of polynomials over a finite field. This leads to understanding that number theory and algebraic geometry is in fact one and the same domain. The core of number theory being an elementary problem, we stick to concrete examples. ... P-adic numbers. ... Algebraic number fields. ... Geometry of numbers. ... S. Lang, Algebraic number theory, Springer, 1994. ...

System parameters on Digital UNIX . ... Digital and Cray use the number of bytes as the KIND -parameter. ... LOGICAL Default byte word KIND number = 4 1 4 LOGICAL Default double quad KIND number = 4 8 16 INTEGER int15 int31 int63 KIND number = 2 4 8 digits = 15 31 63 radix = 2 2 2 range = 4 9 18 huge = 32767 2147483647 9223372036854775807 bit_size = 16 32 64 REAL single double quad KIND number = 4 8 16 digits = 24 53 113 maxexponent = 128 1024 16384 minexponent = -125 -1021 -16381 ...

ntpdate [ -bBdosu ] [ -a key ] [ -e authdelay ] [ -k keyfile ] [ -o version ] [ -p samples ] [ -t timeout ] server [ ... ] . ntpdate sets the local date and time by polling the Network Time Protocol (NTP) server(s) given as the server arguments to determine the correct time. ... A number of samples are obtained from each of the servers specified and a subset of the NTP clock filter and selection algorithms are applied to select the best of these. ... The default is /etc/ntp.keys . ...

... Arithmetic Functions . Random Numbers . String Conversion . Searching and Sorting . ... There are 4 basic integer functions: . int abs(int number); long int labs(long int number); div_t div(int numerator,int denominator); ldiv_t ldiv(long int numerator, long int denominator); . ... In practice no functions produce truly random data -- they produce pseudo-random numbers. ... The stdlib.h provides 2 useful functions to perform general searching and sorting of data on any type. ...

... These values are functions of the geographical (geodesic) latitude and the height of the point above the sea level. ... The option also permits to solve the reverse problem — to calculate approximate values of observatory latitude and its height above the sea level depending on the introduced values of dxy and dz. ... It should be mentioned that low precision of dxy and dz for some observatories in the list maintained by MPC leads to negative value of height above the sea level for some of them. ...

... 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. ...

slitless -- Extract a spectrum from a direct/GRISM image pair slitless image grism output PARAMETERS . ... A two dimensional direct image to be used to select an object. grism . A two dimensional GRISM image containing slitless spectra of objects present in the direct image. output . ... Toggle whether or not a background estimate is subtracted from the extracted object spectrum. mingood = INDEF . Pixels of the grism image with values smaller than this are ignored. maxgood = INDEF . ...

We present an investigation of rotation-activity correlation using IUE SWP measurements of CIV emission line at 1550\AA for 72 active binary systems. We use a standard stellar evolution code to derive non-empirical Rossby numbers, R_{o}, for each star in our sample and compare the resulting CIV rotation-activity correlation to that found for empirically derived values of Rossby number and that based on rotation alone. ...

... ON THE ROLE OF LARGE-SCALE PLASMA IRREGULARITIES AT THE FINAL STAGE OF ANOMALOUS ABSOPTION DEVELOPING UNDER HF HEATING OF THE IONOSPHERE . ... Fig. ... With the aid of numerical statistical modeling based on multiple ray tracing it is shown that in presence of large-scale irregularities the reflected signal amplitude mean value is increased significantly. ... Dependence of the mean amplitude of the reflected from the ionosphere signal on the large-scale (10-50 km) electron density irregularity level...

... A new IRAF task has been developed that automatically identifies linear (line-like) features in an image or set of images. ... In order to automatically detect linear features, the first step is to select pixels in the image (Fig. 1 , left panel) that fall within a given data value range. ... Another aspect of extended linear features is that the image space pixels that describe them are in some way adjacent to one another and have a minimum and maximum length. ...

... The words are numbered according to the reference mentioned above. ... 59 WORD wSecond ; // 0 .. 59 satellite tracking start time (GMT) float fStep ; // reserved WORD wMass ; // reserved BYTE reserved [12] ; // reserved WORD wExtraBytes ; // reserved } TRAJECTORYHEADER ; NOTE: the satellite tracking start time is a hardware operating start time to follow satellite. typedef struct { // ephemeris at satellite tracking start time double time ; // Epoch time (yyddd.ddddddddd)...

The starting page - The catalogues page - The list of the PUL2 fields - The list of the Pul-3(Pul-3SE) fields - The list of the PUL_ERS fields . please read short description of the access form controls . ... Right Ascension (ICRF/Tycho-2) J2000 at the central epoch of obs. (hours, minutes, seconds) (Obligatory parameter) . ... proper motion in RA (*cos(DE)) (ICRF/Tycho-2). (mas/yr) . ... Check the apropriate checkbox to output these data and radiobutton to select stars within interval. ...

THE PHOTOMETRIC RESEARCHS OF THE MERCURY'S SURFACE BY MEANS OF DIGITAL MODELS. ... The surface brightness of Mercury was measured Danjon (1933, 1949, 1953) and Harris (1961) in phase angle 3o-123o. The analysis of the various data of the integral photometric gives the results of determination of the main photometric constants for Mercury. ... THE PHOTOMETRIC RESEARCHS OF THE MERCURY'S SURFACE: S.G. Pugacheva The surface brightness of the Mercurian images was established on the geologic map Mercury. ...

Multi-Frequency Synthesis in K-band . The Multi-Frequency Synthesis (MFS) permits to realize a good quality imaging of the continuum radio sources in short time. ... The RadioAstron mission will operate one K-band circular polarized channel at fixed frequency 22,232 GHz. ... In general one K-band RadioAstron channel with fixed frequency will be unchanging and compatible with all the ground radio telescopes. ... Progress of the RadioAstron Project in Pictures . ...

... I've included typical values in some cases: int num_gd_trials; /** Number of trial group delays */ int num_bas ; /** Number of baselines measured by FT (up to 9) */ int num_channels = 5; /** Number of spectral channels used for fringe tracking */ int num_output; /** Total number of combiner outputs in use */ int num_win = 5; /** Number of windows (subframes) per camera : TODO : not needed? */ Monitor Data ===== /** * Pixel data at a modulator position from all cameras. ...

ON-LINE STATIC EIT RECONSTRUCTION SERVER . ... Static image reconstruction from the data measured in vivo is still intriguing problem in EIT. ... dipole (adjacent) current injection and voltage measurements on pairs of adjacent electrodes (like in Sheffield systems) . ... You can view examples of the text files for polar , dipole and trigonometric injection, use them for testing the server and find more details on HOW TO PREPARE INPUT FILE FOR THE ON-LINE EIT RECONSTRUCTION SERVER page. ...

... GCR and SCR are primary cosmic rays. 10-15 years after the discovery of cosmic radiation (1919) there emerged two main avenues of investigation in the physics of cosmic rays (CR): 1) nuclear - elucidation of the origin of elementary particles and nuclear interactions; and 2) astrophysical (space physics) - solution of the problem related to the origin and variations (changes in intensity) of CR. ... Besides, the CR flux in interplanetary space is, strictly speaking, not isotropic. ...

Magnetic Stars, 2011, pp. 153 ­ 156 Ab out the Dep endence of the Rotation Velo city of CP Stars on the Magnetic Field Glagolevskij Yu. ... Based on the observational data of the average magnitudes of the surface magnetic field strength Bs for a number of chemically peculiar stars we investigate the dependence of the rotation period on the magnetic field. ... Now the periods of rotation P and the average values of the surface magnetic field Bs are known for more than 50 magnetic stars. ...

... Description Actuator lengths determined from encMount and the mirror model. ... Values 3-6 . ... Type Float (float,flt4) . Units microsteps . Invalid nan . ... Type Bool (int,int2) . ... Description Desired encoder lengths, in actuator microsteps, based on desOrient and the mirror model. ... Description desired mirror orientation . ... Type Int (int,int4) . ... Description State of connection to the Galil (a device the mirror controller talks to) . ... Description Mirror currently moving . ...

... Description . Catalog . ... In the Catalog, we publish equatorial (ЮБ 2000 , ЮД 2000 ) and galactic (l,b) coordinates of cluster centers derived as the position of overdensity in 2MASS catalog (Koposov et al. ... Distances, color-excesses and ages are the mean-square values calculated using all available evaluations from different color-magnitude diagrams. ... There are individual pages for every cluster where all available plots and parameters are published. ... 2002). ...