... Math Index . Glossary . ... For instance, one can write . ... This is not an equation but an identity , an expression true for any three numbers (a,b,c). ... Identities do not add any information about the quantities which they contain, because they are true for any values those quantities may take. ... The identity written on top is actually one of the basic properties of numbers ("the distributive law"). ... a 2 + 2ab + b 2 . ... Again, the two last identities . ... Last updated 25 November 2001 ...

... For instance, one can write . ... This is not an equation but an identity , an expression true for any three numbers (a,b,c). ... Identities do not add any information about the quantities which they contain, because they are true whatevers their values may be. They are however useful in reshuffling equations to new, cleaner forms. The identity written on top is actually one of the basic properties of numbers ("the distributive law"). ... a 2 + 2ab + b 2 . ... Again, the two last identities . ...

Actor Prolog is an object-oriented logic language. So, any program written in Actor Prolog consists of classes. ... An example of Actor Prolog program. -- -- (c) 2002, Alexei A. Morozov, IRE RAS. -- ------------------------------------------- project : (( 'Hello' )) class 'Hello' specializing 'Console': [ goal:- writeln ( "Hello World!" This program consists of solely 'Hello' class. ... Thus, the execution of the program starts with the creation of an instance of the 'Hello' class. ...

. Given a deformation family of Fano varieties, one can construct certain Galois representations of global fields using mirror symmetry. Even those varieties that are motivically Tate (e.g. projective spaces or Grassmannians) yield non-trivial Galois representations. We describe some interesting instances of the construction, and explain how to compute Frobenius eigenvalues in these instances. Go to the Laboratoire Poncelet home page. Site design by Paul Zinn-Justin

The divisity of galaxies. The galaxies are the giant (to hundred of billions of stars) star systems, where the stars are connected by gravitation laws with each other. ... Ther galaxy NGC 3031 . ... Each spiral galaxy has a core a flat disk where the spiral brancher locate. The stars and interstellar substance of spiral galaxies rotate around the core. ... In normal galaxies, such as our Galaxy, the great brightness of the core is accounted for the high concentration of stars. ...

... SAI CAS . ... Catalog Access Services . ... This site is about the Virtual Observatory project at the Sternberg Astronomical Institute, Moscow University ( SAI MSU ). We provide a public access to the growing set of astronomical services developed by the SAI RVO development team in accordance with the Virtual Observatory standards. ... We provide access (programmatic and interactive) to the all major and biggest astronomical catalogs (about 4 billions objects total) as well as other web-services. ...

Next: Data Analysis and Simulations of Spectroscopic and Continuum Mapping with the ISO P HOT I nteractive A nalysis ( PIA ) . ... DH1 3LE, U.K. GAIA, the Graphical Astronomy and Image Analysis Tool, is a derivative of the ESO Skycat program. ... Skycat provides a fundamental image, graphics and web catalogue context, which GAIA extends by providing image analysis tools. This article describes new tools recently added to GAIA and gives a brief description of the technologies that underly it. ...

Appendix B. X Config Options . ... The following driver options are supported by the NVIDIA X driver. ... This option controls whether the NVIDIA X driver will use the HorizSync and VertRefresh ranges given in a display device's EDID, if any. ... When the NVIDIA X driver provides TwinViewXineramaInfo (see the NoTwinViewXineramaInfo X config option), it by default reports the currently enabled display devices in the order "CRT, DFP, TV". ... The stereo mode depends on the value of the "Stereo" option. ...

... Looking down on a storm (image credit: Robert Johnston) . Spearheaded by the Project Lead Robert Johnston of Cookstown High school, along with the support of Gerard McStocker from Holy Trinity College and the тАШhighlyтАЩ experienced High Altitude Balloonist Philip Heron , this leading edge school project has left us gazing into the sky! ... The Sun from the stratosphere just north east of Dublin (Image credit: Robert Johnston) . ... The limb of the Earth (Image credit: Robert Johnston) . ...

... In the western literature this method is now called ``coupled dipole method" (CDM). ... Thus, a system of equations relative to the fields scattered by the elementary domains can be obtained, and summation of these fields gives the total scattering field. ... A subtle difference between both methods is in the fact that in the first method one works with the fields which excite a dipole (without the field of the dipole), whereas in the second method one uses the real fields in a given domain. ...

Astronomy Binoculars - The Skies The Limit . ... Binoculars for astronomy are usually powerful. ... If you are buying a hand held binocular to look at the skies, make sure it isn't so heavy that you can't hold it for long periods of time. ... You should also visit some astronomy web sites or binocular reviews and see what the astronomy enthusiast are using. ... Remember that binoculars for astronomy tend to be very powerful and they don't usually have a huge field of view. ... www.astronomy.net . ...

... While photographing unexpected auroras over a distant thunderstorm, something extraordinary happened: red sprites . ... Captured in the featured frame are a house and electrical pole in the foreground, thick clouds in the lower atmosphere , a lightning storm on the horizon, distant red sprites and green aurora in the upper atmosphere, and distant stars from our local neighborhood of the Milky Way Galaxy . ... Publications with keywords: aurora - lightning . ... Aurora over Clouds . ...

Determination of an Intermediate Perturbed Orbit from Range and Range Rate Measurements at Three Time Instances . ... Very Long Baseline Interferometry (VLBI), Small Solar System Body (SSSB), an intermediate perturbed orbit, a fourth-order tangency to the trajectory of perturbed motion, range measurements, range rate measurements, range observations, range rate observations, computing the preliminary orbit of a small celestial body, the degree of approximation of the real motion, the Keplerian orbit. ...

... Editor's note: This activity is both on the Astrocappella web site and the CD-ROM featured in this article. ... Every student can demonstrate the Doppler effect! ... splash out' ball** . ... Twist the 'splash out' ball open. ... This effect can occur with both sound and light, because both sound and light reveal wave- like behavior. ... The number of waves reaching an observer in one second is called the frequency. ... What has the Doppler shift told astronomers about the expansion of the universe? ...

Winer Observatory P.O. Box 797, Sonoita, Arizona 85637-0797, USA . ... Irvin M. Winer . ... Site Map . ... Hint : Find and stay on Arizona State Route 83, which bounds our property). Use the interactive map below or use our GPS position N31 39' 56.08" W110 36' 06.42" (or 31.665578N, 110.601783W). ... From Tucson, take I-10 east about 20 miles to Exit 281, which is marked "State Route 83 Sonoita/Patagonia". ... Go three miles, staying on the paved road of State Route 83. ... 2013 Winer Observatory. ...

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