Groups, ends and trees: exercises II Michele Triestino 2015-07-22 Exercise 1. ... Show that the function dS : G Ѕ G - G defined by dS (x, y) = x-1 y S is a distance on G and coincides with the graph distance on the Cayley graph of G with respect to generating set S. Exercise 4. ... Let S and S be two different finite generating sets of a group G. Show that the Cayley graphs (G, S) and (G, S) are quasi-isometric. ... Show that the Cayley graph of a finite group is quasi-isometric to a point. ...

... Documentation for the Python objects defined by the project is divided into separate pages for each package, module, and class. The API documentation also includes two pages containing information about the project as a whole: a trees page, and an index page. ... A description of the package. ... A summary of the classes defined by the package. ... The module contents frame contains a list of every submodule, class, type, exception, function, and variable defined by a module or package. ...

Astronomy Picture of the Day . ... 1.01.2001 . ... During millennium two , humanity continually redefined its concept of "Universe": first as spheres centered on the Earth , in mid-millennium as the Solar System , a few centuries ago as the Galaxy , and within the last century as the matter emanating from the Big Bang . ... 2001 2002 . ... NASA Web Site Statements, Warnings, and Disclaimers . ... Publications with keywords: universe - millennium . Publications with words: universe - millennium . ...

First results of X/S and X/Ka-band catalog combinations with full covariance information Andreas Iddink , Christopher Jacobs, Thomas Artz, Axel Nothnagel 22.09.2014 First results of S/X and X/Ka-band catalog combinations with full covariance information Andreas Iddink ­ 22.09.2014 Motivation Features of the ICRF2 ICRF2 (Defining- Sources ) 3414 ... Step: Import of the X/Ka catalog with full covariance information (Data provided by Christopher Jacobs et al. ...

An example of visual expert system. The program is written on Actor Prolog. -- -- (c) Alexei A. Morozov, March 19, 1999. ... Actually I wrote this program to train myself -- -- in carrying out SADT interview. ... A logical description of the blocks of the SADT model. ... The main purpose of these classes is keeping lists of cooking -- -- battery corresponding to various blocks of the SADT model. ...

... From the top-level of the Apache source tree, type: cd support [ENTER] . ... From support/suexec.h /* * HTTPD_USER -- Define as the username under which Apache normally * runs. ... See the suEXEC documentation for more detailed * information. */ #define USERDIR_SUFFIX "public_html" /* * LOG_EXEC -- Define this as a filename if you want all suEXEC * transactions and errors logged for auditing and * debugging purposes. */ #define LOG_EXEC "/usr/local/apache/logs/cgi.log" /* Need me? ...

... selected="selected"' : ''; $menu .= '<option value="' . ... SERVER['REQUEST_URI'],$trans)); return $urls[0]; } /* get the internal configuration */ global $ cfg ; /* check if we been asked to render a feed */ $ feed = get_get(' feed ',NULL); /* check if we been asked to render a PDF */ $pdf = get_get('pdf',NULL); $ templates = array(); $output = ''; $ file = get_post('db',NULL); if (!$ file ) $ file = get_get('db',Property::get($ cfg ['config'],'default')); /* if the request does not ask for a...

... A plasma instability involves plasma waves that grow exponentially or faster. For proper discription of a particular instability, one should be able to define . the mode of the growing wave . ... Other familiar examples are the Rayleigh-Jeans instability, in which a denser fluid is supported by a less dense fluid, and the Kelvin- Helmholtz instability , in which one fluid flows over another fluid, e.g., wind over water, causing surface waves to grow. ... Ballooning mode instability . ...

Log windows display messages from all "actors" (instruments, the TCC, the hub...) and allow you to send commands. Controls along the top allow you to filter out unwanted garbage or highlight messages of particular interest. ... Regular Expressions . ... The entry field for "+ Actors" and "+ Commands" filtering accept space-separated regular expressions . ... If you plan to send many messages to a particular actor, you may select the actor from the menu next to the command entry field. ...

... Activity 3: Measuring the Position of the Sun in the Sky . Purpose: To give students the opportunity to measure the position of the Sun in the sky using simple tools and methods. ... Alternatively, you may have students devise their own methods of relative measurement and apply them to measuring the position of the Sun in the sky. ... Rangi is the sky, and when the Sun is near Rangi's head it is summer in New Zealand. ... Read the Maori story to students. ... back to Teachers' Newsletter Main Page ...

... Bad Astronomy . ... I think I will break from my usual format of Bad Astronomy/ Good Astronomy by saying that the way we define seasons currently is not strictly bad, but I feel (in my opinion!) that it could be better. The definition of when the seasons begin is at the moment of solstice or equinox; that is, winter (in the north) starts on December 22 nd and summer starts on June 22 nd . ... Now imagine breaking up the Sun's 46 degree up-and-down yearly swing into 1 day intervals. ...

... The perceptron structure, on the basis of which the database is built, is defined by a number of the input and output parameters and a required accuracy. ... The output perceptron data are the expansion coefficients of the scattering matrix elements in series of the generalized spherical functions. ... As the cluster structure depends on the generation conditions the expansion coefficients were averaged over 5--7 realizations of the clusters (for N . ... is the coefficient number. ...

... Tour Objects Tours can be created using objects from within the Autostar database or a user can enter in different objects (such as a newly discovered comet). ... Automatic Mode: As the user advances to each object, the title of the object appears on line 1 of the display while its descriptive text automatically starts scrolling across line 2. ... For example: STAR "Rigel" LANDMARK az alt "title" "description" Enter the azimuth (az) for the desired object in the following format xxxdxxmxxs. ...

Please enter the lightcurve file name and period search parameters: . Lightcurve file: . ... Apply the Heliocentric correction and convert all dates to Terrestrial Time (TT)? ... Also, the Heliocentric correction cannot be applied to such lightcurves. ... This period search service is also available at the mirror sites: Mirror 1 , Mirror 2 , Mirror 3 , Mirror 4 . You may download the latest source code distribution and install the period search service at your own web server. ...

All teams have to inform the Olympic Advisory Committee (OAC) and the Local Organizing Committee (LOC) about their participation not later than the dates determined by the Acting Statutes/Regulations on the International Astronomy Olympiad . ... For the XIII IAO the procedure of the informing is the following: . ... The questionnaire is analogous to one of the last year . ... Family name(s) [full name expanding initials as in Passport] . ... To write all family names (as in passport). ...

... If a triangle has sides of length ( a,b,c ), with sides ( a,b ) enclosing an angle of 90 degrees ("right angle"), then . ... 100 ? ... A diagonal cut divides it into two right-angled triangles with short sides a and b , and the area of such a triangle is therefore (1/2) ab . Now look at the square on the left constructed out of four ( a,b,c ) triangles. ... As the drawing on the right shows, that area can be divided into 4 triangles like the ones before, plus a small square of side ( a? b ). ...

Astronomy Discussion Forums . ... Define Possibility . ... Post Message | ... Posted by Harvey on October 21, 2002 02:39:28 UTC . ... What are you afraid of? - doctordick - November 1, 2002 - 02:34 UTC . ... I hope Stafford doesn't mind my intruding his forum - mrsouza - November 8, 2002 - 14:55 UTC . ... www.astronomy.net . About Astronomy Net | ... Forum posts are Copyright their authors as specified in the heading above the post. "dbHTML," "AstroGuide," "ASTRONOMY.NET" & "VA.NET" . ...

. Russian Version [ MS-Win ] . [ News ] . [ Satellite data ] . [ SMIS ] . [ ] . Cities . Rivers . Fires . Clouds . Sea and lakes . Miscellaneous . Back to SMIS Home Page .

Lessons learned from the Thirty Meter Telescope site testing Tony Travouillon Sebastian Els, Angel Otarola, Reed Riddle, Matthias Schoeck, Warren Skidmore TMT.XXX.PRE.05.0XX.DRF01 1 Introduction TMT and its Site testing. Important choice before going on site. ... Considerations during analysis of the data. TMT.XXX.PRE.05.0XX.DRF01 2 Some Background about the TMT Site Testing TMT is a 30m, segmented, RitcheyChretien telescope design. ... ASCA Cloud Cover Analysis So how do we do it in practice? ...

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