... These are just the bare bones--just three basic ideas and rules for handling relations ("equations") involving unknown quantities whose values you are trying to find. In most calculations you try to find a number . ... To get a solution, one must replace the given equation (or equations) with others, containing the same information but cleaner in appearance. ... If you have an equation and modify both its sides in exactly the same way, what you get is also a valid equation. ...

... It may be added, subtracted, divided or multiplied in any way appropriate for ordinary numbers. A mathematical relationship involving known numbers (like 25 or 40) and unknown ones (like x ) is known as an equation . ... To get a solution, one must replace the given equation (or equations) with others, containing the same information but cleaner in appearance. ... If you have an equation and modify both its sides in exactly the same way , what you get is also a valid equation. ...

Next: An example of Up: Association of images Previous: Association of images . The two sets of selection criteria (``first choice'' and ``second choice'') have to be entered in a table containing four columns: . FUNCTION --character column (max 256 char) . This column defines the different selection criteria and shall contain mathematical expressions in which the variables may be the columns of the OST. ... RANGE_1 --character column (max 256 char) . ... WEIGHT --real column . ...

... Module name: constants . ... Constants . Pi-related constants . Angle conversion factors . Solid angle conversion factors . ... Fundamental physical constants . Energy conversion factors . Solar system constants . Unit conversion routines . ... Per unit frequency . Per unit wavelength . ...

... N.A.Bobylev, Yu.M.Burman, Morse lemmas for functionals of the variational calculus, Func.Anal.Appl., ... N.A.Bobylev, Yu.M.Burman. ... N.A.Bobylev, Yu.M.Burman, A.B.Shubin, Algorithms for control with a minimal number of switchings, Automation and remote control , V.53, 5:619, 1992. ... TeX file ) . ... Quadratic Poisson brackets compatible with an algebra structure . ... Yu.M.Burman. ... Yu.M.Burman, Whitney's index formula in higher dimensions and Laplace integrals , Preprint math.DG/9801044 . ...

... casa::BinarySearch_global_functions_binarysearch . ... List of all members. template<class Container , class ElType > . ... binarySearch ( Bool &found, const Container &container, const ElType &value, uInt n, Int lower=0) . ... template<class Container , class ElType > . ... binarySearchBrackets ( Bool &found, const Container &container, const ElType &value, uInt n, Int lower=0) . ... This version of the function is for containers that use () for indexing. template<class Container , class ElType > ....

System Throughput and SNR / Exposure Time Estimation . ... Given the SNR, Equations 6.6, 6.7, or 6.14 can be solved for the exposure time, t. Since there are time-dependent and time-independent noise sources, quadratic equations are obtained. For example, we may solve equation 6.6 for the point source exposure time: . where the term A contains the time-independent noise sources . and B contains the time-dependent noise sources . ...

Geometric Algebra 2 Quantum Theory Chris Doran Astrophysics Group Cavendish Laboratory Cambridge, UK Spin · Stern-Gerlach tells us that electron wavefunction contains two terms · Describe state in terms of a spinor S N · A 2-state system or qubit MIT2 2003 2 Pauli Matrices · Operators acting on a spinor must obey angular momentum relations · Get spin operators · These form a Clifford algebra · A matrix representation of the geometric algebra of 3D space ...

ASTRONOMICAL YEARBOOK (in Russian) . ... It contains the ephemerides of the Sun, the Moon, major planets, and stars computed with the maximum precision in the accordance with the resolutions approved by the International Astronomical Union (IAU). From AY-2016 the ephemerides EPM2011 developed at IAA RAS was used as a ephemerical basis for the calculation of ephemerides of the Sun, the Moon and major planets with accuracy adequate to DE ephemerides. ... ASTRONOMICAL YEARBOOK . ...

To list all files with a particular extension: ls *.fm . This will list all the files in the current directory that have the extension .fm . ... This removes all the files in the current directory with a single character extension to their name. Files foo.c and foo.o would be removed as would file foo.3 . To copy all the files containing the same pattern: cp [pP]art[0-9] ../book . ... So the file part1 would be copied to the parent directory book as would the file Part7 . ...

... Cabinets containing the Palomar, ESO and UKSTтАж . Sidebar Left . Sidebar Top . No Sidebar . Sidebar Bottom . Sidebar Right . ... Title: Cabinets containing the Palomar, ESO and UKST survey plates and films. Description: NOTE: All images and movies are copyright and must not be reproduced or mirrored in any form without written permission. ... NOTE: All images and movies are copyright and must not be reproduced or mirrored in any form without written permission. ...

... Shockproof Plastic Battery Storage Box Container Case for 16340 / CR123A Battery . ... Package Contents: 1 x Battery Case, 1 x Strap, 1 x Keyring, 1 x Carabiner . ...

This document contains a summary of the user interface for filtering rows in binary tables. Table filtering allows a program to select rows from an table (e.g., X-ray event list) by checking each row against one or more expressions involving the columns in the table. When a table is filtered, only valid rows satisfying these expressions are passed through for processing. ... select rows whose pha value is exactly 10 . ... 10 pha select rows whose pha value is in the range of 10 to 50 . ...

Blackholes2 Forum Message . ... Post . ... A Field Does Not Contain Energy? ... Post Message | ... Here are two sites of many which use rest mass terminology. http://www.iop.org/EJ/abstract/0026-1394/41/5/S04/ . ... This site refers to the energy contained in a static gravitational field. http://www.ias.ac.in/currsci/mar25/articles27.htm . ... www.astronomy.net . ... Forum posts are Copyright their authors as specified in the heading above the post. "dbHTML," "AstroGuide," "ASTRONOMY.NET" & "VA.NET" . ...

Next: Silicate minerals Up: A Database of Optical Previous: Database of Optical Properties . ... If necessary, data have been determined for the different crystallographic axes. ... In the following we give some examples of the data and their possible applications. Table: Summary of data measured in the Jena laboratory, which are currently available from the JPDOC. compound . ... amorph. ... Next: Silicate minerals Up: A Database of Optical Previous: Database of Optical Properties root 2003-03-06 ...

The CHIANTI database consists of 4 primary ASCII files for each ion in the database. contains the energy levels in cm^(-1) It includes both experimental data and theoretical values of the levels energies. ... 2.0, March 1999, NIST Physical Reference Data %theoretical energy levels: Tayal S.S., 2000, ApJ, 530, 1091 %produced as part of the Arcetri/Cambridge/NRL 'CHIANTI' atomic data base collaboration % % P.R. Young, Feb 2000 . ... Tayal only tabulates transitions from levels 1 to 10 to higher levels. ...

Computer Ephemeris for 2014 from DE200/LE200. Apparent places of fundamental stars. ... Due to huge amount of data in this section of Computer Ephemeris, please, download zip file here. ... The first row contains FK5 number, magnitude, spectral class, name of the star. ... The second row contains date when upper culmination of star take place twice. ... Line 'J1997.5' contains seconds of alpha and delta to be added to alpha0 delta0 to form mean place at J1997.5. ...

In Actor Prolog a resident is a special mechanism that helps processes to inspect state of other processes. A resident observes the state of a specified (target) process and if the state of the process changes (for instance, after message handling) it proves a specified predicate of the process. ... Work of the resident. ... Any change of the list of target processes or arguments of resident function results in activation of the resident and repeated collection of information in the target worlds. ...

... Binary orbits in the acceleration/period plane . Circular Orbits . ... We first present the equations for the period and acceleration of a pulsar in an eccentric binary system as a function of its position in the orbit. ... In Freire, Kramer & Lyne (2001) (from where most of this text and following equations are taken), we describe in more detail how circular binary orbits can be determined from the observed periods and accelerations of the pulsar. ... where is the orbital period of the binary. ...

... Plot histogram and time series. Flow Chart GUILD & LIGO Tools Local File (XML) Restore Events Import XML event data into an event container LDAS Meta Database Save Events Process events (Sort, Coincidence, Cluster) Create Histogram and/or Time Series Plot Histogram/ Time Series Event Containers Hierarchy "Chain" container - A set of List containers. ... Holds one event. ... Time Series - Make a Time Series (DMT TSeries container) of the event rate, values of specified column or event function. ...