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. ...

... Some equations, identities or formulas contain small quantities , and these can be made much simpler and easier to use by sacrificing a little accuracy. ... When we derive squares, 3rd powers, 4th powers etc. of numbers larger than 1 , the results are always bigger , while for numbers smaller than 1 , the results are always smaller . ... power . ... number . ... The above also holds for negative numbers, if one understands "bigger" and "smaller" to refer to the absolute value (the value without sign...

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" . ...

A prefs.ccd file should be located in /usr/local/observatory/prefs on the computer to which the camera is attached. ... Parameters that will be read by prefs.ccd are -- ccd.frame_count_multi Sets the maximum number of frames in multi mode Default is 10 Minimum is 2 No maximum ccd. filter _max Sets the number of filters in the filter wheel Should be less than or equal to the number of slots available ccd. filter _01 to ccd. filter _10 Labels for each ...

Astronotes Armagh Planetarium's Stellar Blog! ... 2011 saw 472 Irish primary schools showcase excellence in science and maths. ... The Discover Primary Science and Maths programme recognises the achievements of primary school children and teachers in the application of science and maths.€а Schools registered on the Discover Primary Science and Maths programme can apply for an Award of Science and Maths Excellence after they have met certain criteria for science and maths related activities. ...

... Exposure Time Calculator (ETC) . ... ESO - Public Surveys . ... the recommended values to use for DIT, . ... Detector on-chip integration (DIT): seconds. to your chosen value - a separate page gives recommended values to use for DIT - for modes 1 and 2 below you may wish to start with the maximum recommended values as these will minimize the effect of read noise (a total object exposure of Y secs with DIT=X secs will produce Y/X lots of read noise) and give you a lower limit on the time needed. ...

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. ...

RELATIVE SUNSPOT NUMBERS Description of Data from SGD Explanation of Data Reports: Relative Sunspot Numbers -- The relative sunspot number is an index of the activity of the entire visible disk of the Sun. ... The provisional daily Zurich relative sunspot numbers, Rz, were based upon observations made at Zurich and its two branch stations in Arosa and Locarno and communicated by M. Waldmeier of the Swiss Federal Observatory. ... This indicates the uncertainty above and below the predicted number. ...

... The begining of program -- Target function: a * b with TEXT_IO ; use TEXT_IO ; procedure EXAMPLE is package IO_INT is new INTEGER_IO ( INTEGER ) ; use IO_INT ; r,b,a: INTEGER ; begin put ( Enter unsigned number 'b', please ... unsigned number 'a', please: ) ; get ( a ) ; declare VAR0 , VAR1 : INTEGER ; begin VAR0 := a; VAR1 := b; declare VAR3 , VAR2 , VAR4 : INTEGER ; begin VAR3 := 0 ; VAR2 := VAR0 ; VAR4 := VAR1 ; while VAR2 /= 0 loop begin if ...

fitshdr_expand - expand/extend FITS-file header fitshdr_expand [options] FITSfile_name . fitshdr_expand utility allows to expand/extend existent FITS headers. FITS MultiExtentionsFiles included). fitshdr_expand is just simple shell script around fitshdr utility. --header-no= NNN . Where NNN - FITS-header's number (0,1,.. ... By default 1. --help . Output a brief help message and exit. --version . Print the version number of fitshdr_expand to standard output and exit. --nobackups . ...

... Some equations, identities or formulas contain small quantities , and these can be made much simpler and easier to use by sacrificing a little accuracy. ... When we derive squares, 3rd powers, 4th powers etc. of numbers larger than 1 , the results are always bigger , while for numbers smaller than 1 , the results are always smaller . ... power . ... number . ... The above also holds for negative numbers, if one understands "bigger" and "smaller" to refer to the absolute value (the value without sign...

Next: Participants Up: Contents Previous: Cover This volume contains the papers presented at the fourth annual conference on Astronomical Data Analysis Software and Systems (ADASS IV) which was held at the Omni Inner Harbor Hotel in Baltimore, Maryland, from the 26th through the 28th of October 1994. ... To help keep up with new trends in software as they relate to advances in astronomy, the ADASS conferences are organized around certain topics of current interest. ...

... adass@eso.org . ... c/o Britt Sj?berg . ST-ECF/ESO . ... European Southern Observatory . ... The ADASS '97 Program Organizing Committee is comprised of the following members: Rudi Albrecht (ST-ECF/ESO), Roger Brissenden (SAO), Tim Cornwell (NRAO), R. Crutcher (Uni. of Illinois), F. Rick Harnden - Chair (SAO), George Jacoby (NOAO), Jonathan McDowell (SAO), Jan Noordam (NFRA), Dick Shaw (STScI), Richard Simon (NRAO), Britt Sj?berg (ST-ECF), Doug Tody (NOAO), and Dave Van Buren (IPAC). ...

Winer Observatory P.O. Box 797, Sonoita, Arizona 85637-0797, USA . ... Asteroid . ... Site . ... The evening of October 26, 2011, Mark Trueblood, Robert Crawford, and Larry Lebofsky used the Kitt Peak 2.1-m telescope to observe Near Earth Asteroid (NEA) 2008 QT3. ... single still jpeg frame . ... The National Optical Astronomy Observatory (NOAO) issued a press release concerning Morgan's work on Monday, November 21, 2011 and posted it on the home page of their web site . ... 2013 Winer Observatory. ...

... Today this year's largest group of sunspots will cross the Sun's central meridian. ... The next day, the number of spots in the group reached five, and the day after, on June 2nd, it was possible to count thirteen sunspots on solar disk, which had been clear prior to this. ... This year's two most powerful active areas, which passed across the solar disk at the beginning of May, 2009, are set to appear in the Sun's eastern sector in two days, on June 6th. ...

... Insert date: . Day: . Month: . ... This CGI -script calculates a day of week of the given date, Julian date of Greenwich noon JD and extracts from the database indices of solar activity: Wolf number for the day W , monthly W m and yealy means W y of Wolf number for month and year of the date. The prediction of Wolf number (which was made in 1998 and, hence, lost actuality) is also presented. The database uses solar activity data got from server of National Geophysical Data Center . ...

... This year SSAU provides 1429 state-funded places for admission in all kinds and directions of educational programs. ... In addition, SSAU Admission Committee notes the substantial increase in interest from the foreign applicants this year. The number of applications from foreign countries has already surpassed last year's totals - 76 applications. Based on the experience of admission campaigns of previous years, SSAU expects summer 2014 to enrol about 150 foreign students in the university. ...

. Full screen versions . Number - magnitude counts . Number - redshift counts . | Front page | . | << - Redshift wedge | Completeness estimates - >> | . Robert J. Smith, ">rsmith@mso.anu.edu.au Last modified: Fri Sep 24 11:39:02 EST 1999 .

Download Izmccd (~2.7 MB). Solution of problems at identification of star field. ... 2) Scale is not correct. ... In this case algorithm of identification will revise all values of scale from twice smaller up to twice greater. ... There should be more than value of the field "Number of stars in frame". ... The star field is considered identified if number of the identified stars more or equally to this value. It is necessary to set value from 4 up to value of field "Number of stars in frame". ...

... Simulation Images . Simulations of convection in stars . Mach-numbers in a simulation of convection inтАж . ... Title: Mach-numbers in a simulation of convection in the sub-giant Eta Boo . Description: The mach-number is the local speed in units of the local sound speed, with values above 1 being super-sonic. ... Mach-numbers in a simulation of convection in the sub-giant Eta Boo The mach-number is the local speed in units of the local sound speed, with values above 1 being super-sonic. ...