... Deriving the sine or cosine of an arbitrary angle takes a bit more math than is covered here. ... Note first of all that a right-angled triangle contains two angles. ... Because the side opposite to A is the one adjacent to (90њ- A), it follows that the sine of one angle is the cosine of the other, and vice versa: . ... Consider the triangle PQR (drawing) with all three angles equal to 60њ. ... If we want the angle A to grow in equal steps of 15 o , we still need the sine and cosine of 15њ and 75њ. ...

As an obligatory preparing for the application to participate in the IAO a short report of National Olympiad of the current year with a set of all problems used on the Olympiad has to be presented by the applicating team. ... The final minutes (protocols written in Latin or Cyrillic in form of tables) of the Olympiad (evaluating of solutions of the students participated in the last stage of the Olympiad) should be included as well. ... Historical data of the National Astronomy Olympiad: . ...

The following pages contain some examples of what you can do with my merge-anim script.. I tried to minimize the size of the images on these pages (all animations are smaller than 50 Kb), but you will probably have to be patient anyway. ... Adding a background to an animation . ... It merges a background (or top) layer with all other layers in an animation. ... I will probably add some options for applying a layer mask to an animation or applying an animated mask to a static layer. ...

... After the edit, recompile the kernel and recompile the Apache server then reboot. ... If you're running a really busy BSD Apache server, the following are useful things to do if the system is acting sluggish: . ... Maximum # of processes . ... This machine is a server that handles lots of traffic, # so we crank that value. options NMBCLUSTERS=4096 # mbuf clusters at 4096 # # Misc. options # options CHILD_MAX=512 # maximum number of child processes options OPEN_MAX=512 # maximum fds (breaks RPC svcs)...

... index.php (1) | bbclone/ | ... To do you can use the following sample and point your browser to it. <?php define("_BBC_PAGE_NAME", "Test"); define("_BBCLONE_DIR", "bbclone/"); define("COUNTER", _BBCLONE_DIR."mark_page.php"); if (is_readable(COUNTER)) include_once(COUNTER); ?> ... Create the file "count.php" and add the following: <?php define("_BBCLONE_DIR", "/the/path/that/leads/to/bbclone/"); define("COUNTER", _BBCLONE_DIR."mark_page.php"); if (is_readable(COUNTER)) include_once(COUNTER); ?> ...

... For X SSet denote by skn (X ) the minimal simplicial subset of X containing all simplices of X of degree n and less (put sk -1 (X ) = ). n X )N · Prove that skn (X ) is isomorphic to the colimit of the following functor F : ( Here (n )N X is the subcategory of the category of elements X SSet. of X (see lectures) containing all non-degenerate simplices of degree n and less, and F sends a non-degenerate simplex k X to k SSet. ... Prove that |X | ... Let A[-] : Set Mo dA denote the free A-module...

... Following a flare on 9 July '96, a solar quake on the solar surface was observed for the first time. It contained 40,000 times the energy released in the great earthquake that devastated San Francisco in 1906. In an hour, the waves traveled a distance ten times that of the Earth's diameter. The waves accelerated from 22,000 miles per hour to 250,000 miles per hour as they travelled outwards and disappeared into the photosphere. A solar-quake following a large flare . ...

... Next, the screen displays "Press 0 to align or Mode for Menu." Press "0" if you wish to begin Automatic alignment (or Easy Align, depending on your telescope model), or press Mode if you wish to choose a manual alignment method ("Automatic Alignment" displays, and you can press MODE to go through the menu to find other alignments). ... Note: If you press the "?" key while "Ctr Brightest Star" displays, the alignment star that AutoStar has chosen will display. ... Alignment successful" displays. ...

EPHEMERIDES OF MINOR PLANETS . The yearbook "Ephemerides of minor planets" (published since 1948) contains information on orbital elements of numbered minor planets and the circumstances of their observations during the best observation periods. ... orbital elements of 430405 minor planets, numbered as of March 5, 2015 and dates of their oppositions in 2016; . ... opposition ephemerides of minor planets; . ... information on the "Updated Ephemerides of Minor Planets" service; . ...

THE 75th NAME-LIST OF VARIABLE STARS. ... The 75th Name-List consists of two tables. ... the literature, taken from positional catalogues, including USNO A1.0/A2.0 and GSC, or determined by the authors); the range of variability (sometimes the column Min gives, in parentheses, the amplitude of light variation; the symbol ( means that the star , in minimum light, becomes fainter, than the magnitude indicated); and the system of magnitudes used ( P are photographic ...

Russian SHAREABLE DATA CENTER Institute of Solar-Terrestial Physics SB RAS . ... The ionogram catalogue is divided into the data file and the key file. ... The station codes database consists of the data file and two key files. ... This database consists of the data file and the key file. ... The antenna DB consists of two interrelated databases. ... The data file contains the following information: antenna type, antenna name, antenna parameters names, measurement units, and ranges of parameters. ...

Astronomy Picture of the Day . ... The picture shows a very young double star located about 450 light-years away toward the constellation of Taurus. ... M83: A Barred Spiral Galaxy . ... M83 is a member of the Centaurus group of galaxies, a nearby group dominated by the massive galaxy Centaurus A. It takes light about 15 million years to reach us from M83. ... Bright Comet SOHO . ... Discovered this month with an orbiting solar observatory, bright Comet SOHO has now emerged from the Sun's glare. ...

... Ham packet radio system including: . ... control computer RSC 2. dedicated software monitoring generation of probing pulses in onboard transceiver in radio beacon mode; . ground receiving network of ham radio packet communication to record probing pulses of onboard radio beacon; . ... Generation of onboard radio beacon probing pulses as time marks to ground receiving network (including ham radio receivers of USW) and transmission of the measurement results throughout Internet network. ...

Race to the Planets Family Event Sample Agendas Family ASTRO Leader Kits and Guides are designed to contain enough materials and activities for two full family events. ... What's Next: As families leave, make sure they know about the date and time for your second Race to the Planets session and that you'll want to know how they did playing the "Surfing the Solar System" game. ... If there are any planets visible in the night sky, a nice follow up to this family event is a planet observing session. ...

... Following the world tendence of the telecomunication development we prepared the WWW homepage of the CATS (http://www.ratan.sao.ru or http://cats.sao.ru), producing all operations permitted in usual scripts. ... Concerning JAVA, the platform independent language, we suppose to use JAVA sripts both in preparion of flexible forms and in generation of the CATS graphics, including curves of energy distributions (e.g. radio spectra) and statitiscics curves of the CATS search. ...

... We have compiled the Catalogue of extragalactic supernovae using the GCVS card catalogue. ... Doubtful (?), or rejected (-) SN 8 A1 --- RemFlag [*] The '*' indicates a remark in sn_rem.dat 10- 19 A10 --- Gal Parent galaxy designation 21- 22 I2 h RAh Right Ascension 1950 of Parent galaxy 23- 24 I2 min RAm Right Ascension 1950 (minutes) 25- 28 F4.1 s RAs Right Ascension 1950 (seconds) 29 A1 --- DE- Declination 1950 (sign) 30- 31 I2 deg DEd Declination 1950 of Parent ...

... Let Carol Vorderman help your child succeed in Science. Science Made Easy is one of Carol Vorderman's series of workbooks packed with notes and tips to make learning about Science easy and fun! ... Each title contains a progress chart so your child can keep track of all the exercises they have completed and parents' notes explain what children need to know at each stage and what's being covered in the curriculum so you can support your child. ... Age: over 3 years old . ...

... The database contains data of magnetic field observations obtained in the following observatories: Central astronomical observatory ( GAO ) , Crimean astrophysical observatory ( KrAO ) , Institute of terrestrial magnetism and radiowave propagation of Siberian division of RAS (Irkutsk) ( SibIZMIR ) , Institute of terrestrial magnetism and radiowave propagation (Troitsk) ( IZMIRAN ) , Shemacha astrophysical observatory of Azerbajanian AS ( ... GAO IZMIRAN SibIZMIR KrAO UsAO UrAO ShAO . ...

... Tonight's Sky . ... SUN MOON MERCURY VENUS MARS, JUPITER SATURN . Sun . ... The Magazine . ... Observing . ... Gravitational wave search provides insights into galaxy evolution and mergers . ... The double star 54 Leonis, spiral galaxy NGC 3198, and emission nebula NGC 3199 . ... What would a bucketful of our Sun contain? ... Get instant access to subscriber content on Astronomy.com! ... Receive news, sky-event information, observing tips, and more from Astronomy's weekly email newsletter. ...

of the RadioAstron Teleconference 2 . ... The agenda of the teleconference and the list of participants are attached as an Appendix A to the Minutes, and list of used acronyms and conventional names is given as an Appendix B. The main purpose of the teleconference was to review the progress on the RadioAstron project during the first quarter of 2003. ... Kardashev provided clarification concerning the Technical Task TZ document, which is equivalent to the NASA designation of Project Plan. ...