СТУДЕНЧЕСКИЕ ОЛИМПИАДЫ МЕХМАТА МГУ И. В. Аржанцев, 1 В. И. Богачев, 2 А. А. Заславский, 3 В. Ю. Протасов, 4 А. М. Райгородский, 5 А. Б. Скопенков 6 n=1 Мы приводим задачи всемехматовских олимпиад 2001 (второй тур), 2008 и 2009 годов, а также указания, решения и комментарии. ... 2008-1. ... Обозначим через m(k) максимальное число попарно не ортогональных векторов из {-1; 0; 1}2k , ровно k координат каждого из которых нулевые. (а) Докажите, что m(k) 22k-1 при нечетном k. (б) Докажите, что 80 m(4) 140. ...

... Ira Polans, & Michael Wright (609) 273-1456 (908) 859-1670 and (609) 448-8644 kane@princetonastronomy.org editors@princetonastronomy.org Volume 40 From the Director January 2011 Number 1 Happy New Year! To everyone in AAAP, I am wishing you a grand new year and clear skies! ... Opportunity Rover Snaps Gorgeous Panoramas of Santa Maria Crater and Intrepid Crater The Opportunity rover is sending back a multitude of awesome views of Santa Maria Crater since arriving at the western edge on Dec. ...

... The firmware (built-in software) in the NexStar 8 GPS and 11 GPS scopes is designed to be updated by downloading a file from Celestron and uploading it from your PC to your scope.  ... To upload the firmware, you need a cable to connect from the serial port on your computer to the PC port on the base of the scope.  The PC port on the base of the scope is a standard RJ-45, so it is fairly easy to build a cable using a flat RJ-45 cable and a DB-9 (female) to RJ-45 adapter.  ...

Shades of Deep Purple (USA: Tetragrammaton 1968 ; Europe: EMI Parlaphone 1968 ; Japan: Polydor 1968) (CD) . Deep Purple's debut album, recorded very hastily. ... Tracks: . ... Wring That Neck (Blackmore/Lord/Simper/Paice) . ... All tracks written by Blackmore/Gillan/Glover/Lord/Paice . ... Painted Horse (Blackmore/Gillan/Glover/Lord/Paice) . ... Child in Time (Live, 690924) (Blackmore/Gillan/Glover/Lord/Paice) . ... Bonus tracks on Japanese CD: Lazy (edited) (Blackmore/Gillan/Glover/Lord/Paice) . ...