... Tools . ... In order to generate random numbers that follow a normal distribution, one first needs to create two uniform random numbers $u_{1}$ and $u_{2}$, in the range of 0 to 1. ... begin{equation*} g_{1} = \sqrt{-2 \ln(u_{1})} \cos(2 \pi u_{2}) \end{equation*} . ... Random numbers following a power law, $P(x) \propto x^{n}$, can be generated from a single uniform random number, $u$, in the range of 0 to 1 through the following transform : . ...

... Chapter 4: Solar System Targets > 4.2 Target Identification . ... The following information is required to identify and classify each target. ... For example, separate targets should be defined if you plan to take spectra of several different surface features on a planet, or if you plan to observe the same feature with different timing constraints. ... Description . PLANET . If the target is the center of a planet, enter PLANET followed by its name (e.g., PLANET JUPITER , PLANET SATURN ). ...

... In the above example, the second region uses the global coordinate system (PHYSICAL by default). ... Supported systems include: name description ---- ----------- PHYSICAL pixel coords of original file using LTM/LTV IMAGE pixel coords of current file FK4, B1950 sky coordinate systems FK5, J2000 sky coordinate systems GALACTIC sky coordinate systems ECLIPTIC sky coordinate systems ICRS currently same as J2000 LINEAR linear wcs as defined in file In addition, two mosaic coordinate ...

... It is described as a function of event pattern type in columns QE_nn (where nn=0, single pixel events, - 31). ... The fraction of the total QE which is contained in single, double, triple or quadruple pixel events, as a function of the channels tabulated in CHBINS_FRACTION. ... The fraction contained in single+double pixel events . ... The fraction of the total QE which is contained in single, double, triple or quadruple pixel events, as a function of the energies tabulated in EBINS_FRACTION. ...

This diagram illustrates the normal flow of text between parent and sibling boxes. A document window is shown, with 8 lines (numbered 1 to 8), each 24px high. Four lines of text are displayed, occupying line 1 through 4. In the following PRE element, each 24 pixel line is simulated by two lines, the second beginning with the appropriate number. The lines, as they appear in the image, contain: 1 Beginning of body contents. ... 3 End of outer contents. End of body 4 contents. ...

These observations are aimed at fully charactering FORS1 photometric system (UBVRI zero-points, color-terms and extinction coefficients) for the Tektronix 2048x2048 pixel CCD (24µm px) . To this aim, the two Landolt/Stetson photometric fields SA95 and SA101 will be observed on a number of epochs and at different airmasses during February and March 2007. ... SA101 . ... OBs for SA101 have to be observed during evenigh twilight (exceptions are expected for the second half of March) . ...

... Packet Format . ... The TCC broadcasts UDP packets containing position information. ... Packet Header . ... int4 . ... double . ... pos, vel double . ... pos, vel, time double . ... See the TCC Message Keywords Dictionary for full definitions of most items in the "data" section of the packet. pos, vel double is a structure containing two doubles: "pos" and "vel"; it contains the same information as the TCC's "coordinates" (p,v,t triplets), but with time given by the "TAIDate" entry in the packet. ...

ARMAGH CREDIT UNION Life Saving Loans Protection Policy This policy was adopted by the Board of Directors of Armagh Credit Union Limited Signed:Position Position Date : Armagh Credit Union is authorized and regulated by the Financial Conduct Authority and Prudential Regulation Authority : Registration Number 573925: Version Dec2015 ARMAGH CREDIT UNION Loan Protection Life ... A signed copy of the completed form must be kept in the members file. ...

Next: Why do Radiopulsars not Up: Ejectors in Massive Binary Previous: The Evolutionary Status of . ... Numerical simulation of the evolution of NS shows (Lipunov and Prokhorov, 1987[ 115 ]) that the fraction of ejecting stars in massive systems with normal components may be as high as several tens of percent of the total number of binary systems (see Figure 27 ). ... Mike E. Prokhorov . ...

There are six possible ways of object description: . a) by number(s) . ... d) by list . e) by orbital elements . ... They should be introduced as year, month, day with tenth (e.g. 20021104.1). d) Computations are performed for all objects listed in the file whose path and name should be introduced into assigned data field. ... On pressing Edit file button user has a possibility to look through the list of object elements or their coordinates and velocities to add or to change it. ...

... 1.7 GSC 084 Pulkovo Obs., 0.33 15 x 15' 1.0" 7 34 0.179 0.307 Normal Asgr. 3.0 UCAC 118 Slovakia, 0.57 14 x 10' 1.7" 3 12 0.090 0.145 Modra 3.3 USNO 127 Germany, 0.19 30 x 20' 2.4" 3 15 0.151 0.087 Bornheim 0.8 GSC 168 34 200 0.282 0.315 291 USA,Kitt Peak, 1.8 390 x 30' 1.0" 1 5 0.143 0.144 Spacewatch II 4.7 USNO 300 Japan, 0.5 78 x 78' 2.3" 7 36 0.420 0.447 Bisei Center 1.3 ACT 461 Hungary, JATE 0.60 28 x 19' 1.1" 6 22 0.124 0.153 Asteroid Surv. ... Polynesia 1.0 UCAC F85 Tiki Obs., ...

... File format . ... The p12mProg is the AO control program for the 12 meter telescope. ... the time from the tick, till when we complete the status read from the device. ... P12M_STAT_BLK struct (read from controller via group read at tick) . ... azimuth master 32bit status word . ... dbl . ... azimuth error read from controller. ... azimuth velocity read back from controller deg/sec . ... elevation position read back from controller. stBlk.elErr_D . ... elevation velocity read back from controller . ...

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. ...

... The reference column of a star table contains the primary identification for the star. ... Standard IAU names should be used. Proper names are acceptable for bright stars, as are Bayer and Lacaille letters and Flamsteed numbers used with the constellation abbreviation. HR numbers can be used for bright stars. ... Stars lacking HD numbers should be named by BD or other DM number. ... However, full names should be used in the star tables, to avoid ambiguity. ...

... The first column gives the star identification number, followed by X, Y positions in mm. The zero point of these offsets is star number 1 which lies at 21:24:20.52 +36:30:25.6 (equator and equinox 2000). Next are relative proper motions (muX and muY) and their errors (ex and ey) in 10**4 arcsec/yr, followed by calculated V magnitudes. The final column gives the calculated membership probabilities in percent. ...

The initial orbital data are distributed in the F1 format, which contains orbital elements as a the state vector (the spacecraft position and velocity vector) in the inertial frame (Standard reference of the Earths Equator and Equinox J2000). ... The Format number . 0001 . The Message number . ... 00001 . ... 001451.596 . ... 008276.384 . ... 000000.000 . ... The F1 format for this data looks as follows: . INT/ITZ/01/0001/01/00001/ . ... 001451.596/-008276.384/+000000.000/ . ...

Download Izmccd (~2.7 MB). ... for 1-5 bytes is number of a numbered minor planet, . ... Positions 1-80 file "mpcreportiz.txt" are similar to positions of file "mpcreport.txt". 83-95 – errors of unit weight, . ... If this tag is " 1 0 " , this record contains results of measurements of an image of object (approximation by "PSF"),  . ... 57-66 – error in X (pixels), for first star in a multicentric image, for subsequent it is error in (distance between first star in the image and this), . ...

Astronomy Discussion Forums . ... A Number Is A Very Specific Thing . ... Post Message | ... Posted by Harvey on October 9, 2002 16:41:15 UTC . ... When you use the word 'number', you are introducing a specific kind of symbol that is known within the context of mathematics. ... You know what - harvey1 - October 9, 2002 - 20:53 UTC . ... www.astronomy.net . ... Forum posts are Copyright their authors as specified in the heading above the post. "dbHTML," "AstroGuide," "ASTRONOMY.NET" & "VA.NET" . ...

... The event object contains properties that describe a JavaScript event, and is passed as an argument to an event handler when the event occurs. Client-side object . ... See Chapter 3, "Event Handlers," for complete information about event handlers. For more information on handling events, see the Client-Side JavaScript Guide . ... Setting any property of this object requires the UniversalBrowserWrite privilege. ... For information on security, see the Client-Side JavaScript Guide . ... event . ...

Pulkovo Photographic Plate Database . To find a certain plate, type its number, choose instrument and click button FIND Instrument: Normal Astrograph 26-inch refractor Plate number: . To find plates with a certain sky area: choose instrument, type coordinates (R.A. and Dec.) of the center of this area, type radius of this area, type (optionally) names of required objects, and click button FIND . ...