... Singular value decomposition of the matrix A is (a) it's decomposition into singularities (b) it's Fourier transform (c) finding the rotation, which transforms it to diagonal form (d) solution of the eigenvalues problem 4. ... Matrix invertion can be calculated by (a) Matlab (b) dividing by determinant (c) calculation of algebraic complements, traslation and dividing by determinant (d) calculation of minors, traslation and dividing by determinant 2 ...

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... Программа на сентябрь 2008 г. 24 сентября. H. Wakaki (Hiroshima University). An error bound for Box's chi-square type asymptotic expansion of Wilks' Lambda distribution. Abstract. An error bound for the Box's chi-square type asymptotic expansion of Wilks' Lambda distribution is derived. It is compared with an error bound for the high-dimensional Edgeworth expansion. ... Convergence of Multinomial Goodness-of-fit Statistics to Chi-square Distribution. ...

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Arushanyan O.B., Volchenskova N.I., Zaletkin S.F. Calculation of expansion coefficients of series in Chebyshev polynomials for a solution to a Cauchy problem // Moscow University Mathematics Bulletin.2012. ... 211-216. ... The solution of such a system and its derivatives are expanded in shifted series in Chebyshev polynomials of the first kind. Algorithms to determine the expansion coefficients are described. ...

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... Only by numerical simulation. ... moment T (K) Dipole moment (D) Experiment Other example: Diffusion constant 200 250 298 350 400 2.40 2.37 2.48 2.59 2.80 2.25 The Distribution functions: radial distribution function 1 g (r) = N t =1 j i N TS N pair ( r - rij ) The Distribution functions: radial distribution function CC def 2 Work mode ­ computer related 1) · Perform simulation , create trajectory file · Calculate properties timestep by timestep 2) · Perform ...

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... The main field of my investigations is stellar spectrophotometry. As a result of scientific activity of our group spectrophotometric catalog was created including energy distribution data on 900 stars in the range 3200-7600AA and 250 stars in the range 6000-10800AA (Voloshina et al., Spectrophotometry of Bright Stars, ed. I.N.Glushneva, 1982, Moscow, Nauka, in Russian). ...

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... Gubkina 3, Moscow, 119991 Russia e-mail: johnnie_me@list.ru Distribution of genomic elements, i.e. segments of their increased or decreased density, may be related to DNA domains performing specific functions (e.g. CpG islands [1], clusters of transcription factor binding sites (TFBS) [2], or segments enriched or depleted in nucleosome binding sites [3]). ... Relative positions of conserved domains and nucleosomes in the proximal region of D.melanogaster even-skipped gene locus. ...

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ROBUST ESTIMATORS OF EXTREME VALUES AND OUTLIERS Shchetinin Eu.Yu., ... It has been theoretically pointed out that smoothing the empirical distribution function with an appropriate kernel and bandwidth can reduce the variance and mean squared error (MSE) of some quantile-based estimators in small data sets. ... The final contribution of this thesis consists of the proposal of a deterministic algorithm to compute multivariate S- and MM-estimators of location and scatter. ...

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... Research objects and scientific purposes . Space scientific program includes development and launch of two supersmall spacecrafts "Universitetskiy" and "Kompas-2" intended for monitoring of radiation conditions near the Earth. ... All the studies conducted in the near-Earth space are characterised by strong radiation fields. ... The circular polar orbits, which cover all the near-Earth space, are the most favorable for comprehensive studies of the radiation conditions near the Earth. ...

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