... Suppose we have 2 tones Acos(at) and Bcos(bt). ... The individual freq terms are then: . ... square :[Acos(at) + Bcos(bt)]^2: [Acos(at)]^2 +[Bcos(bt)]^2 + 2ABcos(at)cos(bt) . ... A^2(cos(2at) -1)/2 . ... A^3cos(at)*[cos2at - 1)/2=A^3([cos(3at) + cos(at)]/2 - cos(at)]/2=A^3(cos(3at) -cos(at))/4 . B^3cos(bt)*[cos2bt - 1)/2=B^3([cos(3bt) + cos(bt)]/2 - cos(bt)]/2=B^3(cos(3bt) -cos(bt))/4 . let C2= 3AB^2 and C3=3BA^2 . ... C 3cos(bt)[cos(2at)-1]/2=C3[{cos((2a-b)t)+cos((2a+b)t)}/2+cos(bt)]/2 . ...

Tail Wags of Comet Ikeya Zhang . ... Credit Copyright: Michael Karrer Explanation: As Comet Ikeya-Zhang approached the Sun two months ago, it developed a complex blue ion tail . The tail was composed of ions that boiled off the nucleus and were pushed away from the Sun by the out-flowing fast-moving particles of the solar wind . ... The above animation documents how Comet Ikeya-Zhang's tail changed over 30 minutes in ten consecutive 3-minute exposures on March 11. ... NASA Official: Jay Norris. ...

... There are two ways to create menus: there's the easy way, and there's the hard way. ... So, if we wanted to create a standard File menu , with the options Open , Save , and Quit , the code would look something like: file_ menu = gtk_ menu _new (); /* Don't need to show menus */ /* Create the menu items */ open_ item = gtk_ menu _ item _new_with_label ( Open ); save_ item = gtk_ menu _ item _new_with_label ( Save ); quit_ item = gtk_ menu _ ... Create a menu item using gtk_menu_item_new(...

... Every year, more and more journals are switching from mailing paper copies to subscribers to putting material on the Internet either for free or via password-protected access. The primary driving force behind this is simple economics: the cost of publishing material online is a minuscule fraction of the expense of printing articles in a paper journal and mailing it. The majority of people over 40 greeted the advent of online journals with much sadness and even some derision. ...

The above process keeps the # of protons and the # of neutrons in the early Universe constant. This is extremely important and will result in a testable prediction later. Remember, a free neutron (one that is not bound in an atomic nucleus) will decay into a proton + electron (+ anti-neutrino) in about 900 seconds. ... During this epoch, the proton-to-neutron ratio is 1.0 . ... The Universe consists of protons, neutrons and electrons plus a photon background and a neutrino background. ...

... Institutes of Chernogolovka . The largest of all the scientific institutions of the center is the Institute of Chemical Physics in Chernogolovka , where fundamental problems of chemical physics are studied: kinetics and mechanisms of chemical and biological processes; processes of combustion, explosion, and polymerization; and mechanisms of elementary reactions involving high energy particles. ... Developments and Technologies . ...

NAME htdigest - Create and update user authentication files SYNOPSIS htdigest [ - c ] passwdfile realm username DESCRIPTION htdigest is used to create and update the flat-files used to store usernames, realm and password for digest authentica- tion of HTTP users. Resources available from the httpd Apache web server can be restricted to just the users listed in the files created by htdigest. This manual page only lists the command line arguments. ... OPTIONS -c Create the passwdfile . ...

... Solar is a companion program that reads a line list from the Moore Tables of the Rowland Atlas of the Sun and creates a spectrum based on the wavelength and equivalent width of the tabulated features. ... The distribution contains the original source code for Colorspec and Solar in C, a version of Solar written in Fortran, the NSO solar flux atlas in a format suitable for use with Colorspec, the Moore Tables, and a few sample spectra. Download Colorspec - Current Version 1.0 . ...