... Tools . ... In order to generate random numbers that follow a normal distribution, one first needs to create two uniform random numbers $u_{1}$ and $u_{2}$, in the range of 0 to 1. ... begin{equation*} g_{1} = \sqrt{-2 \ln(u_{1})} \cos(2 \pi u_{2}) \end{equation*} . ... Random numbers following a power law, $P(x) \propto x^{n}$, can be generated from a single uniform random number, $u$, in the range of 0 to 1 through the following transform : . ...

... The numbers of three types of compact binaries containing accreting NSs and BHs, which are most interesting from the point of view of their observational appearances, have been calculated as a function of time: i) X-ray transient source containing a NS in an eccentric orbit around a main sequence Be-star (the observed prototype: A0535+26), ii) BH The evolution of the selected types of X-ray binaries during the first 10 million years after the starburst onset is presented in Fig. ...

... We demonstrate through numerical simulations that model parameters estimated with our technique are essentially bias-free, even when the average number of counts per bin is 1. ... The IW technique avoids such biases by estimating through successive iterations, where for each iteration, j, , and the best-fit parameters are determined by minimization of . ... In our sample, we find that the minimum values and best-fit parameters converge after about 6 iterations. ...

http://hea-www.harvard.edu/AstroStat/slog/2008/ tests -of- fit -for-the- poisson - distribution / Weaving together Astronomy+ Statistics +Computer Science+Engineering+Intrumentation, far beyond the growing borders Fri, 01 Jun 2012 18:47:52 +0000 hourly 1 http://wordpress.org/?v=3.4 http://hea-www.harvard.edu/AstroStat/slog/2008/ tests -of- fit -for-the- poisson - distribution /comment-page-1/#comment-267 ... Abstract: Improved №З2 statistics are defined for both Poisson and multinomial data sets. ...

... In order to obtain a quantitative estimate of the accuracy and reliability of our data reduction procedures and results, we have performed a data reduction pipeline based on the following steps: i) define a set of simulated HST-like images with synthetic globular cluster stellar distributions, which provide the ``true'' data for comparison; ii) convolve these images with appropriate assumptions of PSF and noise in order to construct simulated `` observed '' ... It contains 470 stars. b) ...

. XMM-Newton Science Analysis System . ssclib (ssclib-3.33.4) [xmmsas_20080701_1801-8.0.0] . Meta Index / Home Page . Module name: random_aux . Author: Ian Stewart (University of Leicester, ims@star.le.ac.uk) . XMM-Newton SOC/SSC -- 2008-07-01

... Moscow, Russia E-mail: krivosheev@iki.rssi.ru Notes: · · The Monte Carlo method (s) is also called the statistical test method An innumerable number of processes can be listed the outcome of which is not determined and has probabilistic nature, but these processes obey statistical laws, so to obtain the result we have to make multiple similar tests, i.e. to use the MC method Because probabilistic processes are widely spread in nature, the MC ...

... The degree of correlation between two parameters can visually be estimated by plotting them. Numerically this is expressed by the correlation coefficient : . ... When the correlation coefficient indicates a significant correlation, the functional relation is given by the regression line which is computed by least squares methods for normal distributions or maximum likelihood procedures (see Section ). ... Such transformation may also be used to make the variance of a variable homogenous. ...

... Each ferrule will be used to plug approximately 300 holes. We must be sure the ferrules will not wear excessively during use; 1 mil reduction in diameter of a ferrule is enough to reduce light throughput by approximately 1%. ... Stainless steel ferrules offer lower precision (which will lose us approximately 1/2 to 1% light compared to ceramic), but they are relatively inexpensive, readily available with the hole diameter we require, and immune to cracking. ... Hence the wear was not very deep. ...

... IPACMAN V2.5 Test Plan (or more) . ... Anyway, results given hereafter are related to one plaform only (the one mentioned on the top). ... specific testcases The following testcases correspond to the minimum set of tests to be run on every new IPACMAN release (alpha, beta, final, .. ... 1/ START IPACMAN . ... Expected result . ... Verify IP: select an IP on disk and run Reports>verify IP . ... IP Diff: select two IPs on disk, and run Reports>IP Diff and check manually the results: verify the . ...

Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. ... Random Numbers 7.0 Introduction It may seem perverse to use a computer, that most precise and deterministic of all machines conceived by the human mind, to produce "random" numbers. ... Nevertheless, practical computer "random number generators" are in common use. ...

... The distribution of galactic RCB stars is controversial. Several authors have argued that they belong to a thick galactic disk, and are thus old Population I stars. ... However, their distribution and space velocities suggest they may alternatively belong to the even older galactic bulge (Population II, [ Drilling 1986 ]). ... These are the only RCB stars for which a distance is known and hence for which an absolute magnitude can be deduced. ...

... Flight 1) 2) 3) Flight 1) 2) 3) model FM1 has the following parts: LNA MY-18, serial number PN 01-0252, factory number FM1; receiver box KRT-18, serial number PN 17660-01, factory number FM-001; DC-DC converters IVEP1 and IVEP2, factory number 05. model FM2 has the following parts: LNA MY-18, serial number PN 01-0252, factory number FM2; Receiver box KRT-18 serial number PN 17660-01, factory number FM-002; DC-DC converters IVEP1 and IVEP2 factory number 06. ... See Appendix 1. ... 2003. ... 2004 . ...

RELATIVE SUNSPOT NUMBERS Description of Data from SGD Explanation of Data Reports: Relative Sunspot Numbers -- The relative sunspot number is an index of the activity of the entire visible disk of the Sun. ... The provisional daily Zurich relative sunspot numbers, Rz, were based upon observations made at Zurich and its two branch stations in Arosa and Locarno and communicated by M. Waldmeier of the Swiss Federal Observatory. ... This indicates the uncertainty above and below the predicted number. ...

... 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. ...

Random numbers ­ a note · How can a computer generate a "random" number? ... Maximal sequence length is m 30/10/2007 Computational Physics 2007 Distributions · Basic generator is uniform on [0,m]. ... 30/10/2007 Computational Physics 2007 Generators · Many random number generators: ­ f95 intrinsic functions · call random_number (harvest) . ... 30/10/2007 Computational Physics 2007 How "random"? ... 30/10/2007 Computational Physics 2007 About software How can it go wrong? ...

... This program was created for correlating chosen regions in the series of fts images. ... Chosen regions' . ... In this section the program counts the integral for each region of the grid for each image. ... As a matter of fact, the integral is total brightness of the region and it is counted by 'int_tabulated' IDL function. ... In addition, the program will show the count of the regions which correlate with the corresponding region (the brighter region means the bigger count) and its contour. ...

... In 2009 I wrote several papers : Some applications of W. Rudins inequality to problems of combinatorial number theory, Uniform Distribution Theory, 15 pages, submitted for publication, On an inverse theorem for U3 ( )-norm, Modern problems of mathematics and mechanics, Mathematics, Dynamical systems, v. 4, 2, (2009) 55­127. ... In the first paper we obtain some new applications of a well­known W. Rudin's theorem concerning lacunary series to problems of combinatorial number theory. ...

... Arithmetic Functions . Random Numbers . String Conversion . Searching and Sorting . ... There are 4 basic integer functions: . int abs(int number); long int labs(long int number); div_t div(int numerator,int denominator); ldiv_t ldiv(long int numerator, long int denominator); . ... In practice no functions produce truly random data -- they produce pseudo-random numbers. ... The stdlib.h provides 2 useful functions to perform general searching and sorting of data on any type. ...