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181. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Joint approximations of the square root, logarithm, and arcsine functions / V. N. Sorokin. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... Hermite Pade approximations are constructed for three functions: the square root, logarithm, and arcsine. ... An estimate of the measure of linear independence for values of these functions at natural points is obtained. Key words : Rodrigues formula, Diophantine approximations. ...

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182. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

A problem of the fastest detection of regime changing for the Levy processes / F. A. Ustinov. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The optimal stopping time for the quickest regime change detection (disorder) problem in the generalized Bayesian setting is determined for an arbitrary Levy process. Key words : quickest detection of regime change, disorer problem, generalized Bayesian setting, Levy processes, Shiryaev process. ...

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183. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Lambek calculus with one division and one primitive type permitting empty antecedents / S. L. Kuznetsov. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. ... The following assertion is proved: a deduction rule given by a scheme is admissible in the Lambek calculus with one division \mathrm{L}^*(\backslash) permitting empty antecedents if and only if it is admissible in the fragment of \mathrm{L}^*(\backslash) with one primitive type \mathrm{L}^*(\backslash; p_1) . ...

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184. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

. Recognition of derivability for the Lambek calculus with one division / Yu. V. Savateev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 2. P. 59-62 Moscow Univ. Math. Bulletin. Vol. 64, N 2, 2009. P. 73-75]. A polynomial algorithm for determination of derivability in the Lambek calculus with one division is described in the paper. Key words : Lambek calculus, algorithmic complexity. ? 2/2009 . Toggle formulas format . (LaTeX / SVG)

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185. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Linear independence of values of Lerch functions / E. A. Ulanskii. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The number of linearly independent numbers among 1,\Phi _1 \left( z,\frac{p}{q}\right),\ldots, \Phi _a \left( z,\frac{p}{q}\right) is estimated depending on a natural number a , where \Phi _s \left(z,\frac{p}{q}\right),\ s=1,2,\ldots , are Lerch functions. Key words : Lerch functions, generalized polylogarithms, linear independence. ...

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186. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

The problem of stopping the flow of a viscoplastic medium in a channel / E. A. Muravleva. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The problem of stopping the flow of a viscoplastic medium is considered. Asymptotic estimates are obtained for stopping time. The results of numerical experiments performed for square and rectangular pipes are in good agreement with the estimates proposed. ...

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187. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

. Vulnerabilities of one cryptographic protocol / D. V. Kop'ev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 1. P. 66-67 [Moscow Univ. Math. Bulletin. Vol. 64, N 1, 2009. P. 44-45]. Possible attacks on cryptographic protocol "Mental Poker" are described. ? 1/2009 . Toggle formulas format . (LaTeX / SVG)

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188. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Summation of Euler function values over numbers of the form p-1 / D. V. Goryashin. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... An asymptotic formula is proved for the sum of values of the Euler function on numbers of the form p-1 not exceeding x . The order of the remainder of the asymptotics corresponds to the modern bound for zeros of the zeta function. ...

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189. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

A study of linear time-varying systems / V. I. Kalenova, V. M. Morozov, P. M. Sobolevskii. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... Some linear time-varying systems that can be solved in closed form and are of practical importance in the problems of mechanics are considered. Several properties of the linear time-varying systems whose matrices belong to different classes simultaneously are studied. ...

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190. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

The number of S -precomplete classes in the functional system P_k^r / M. A. Podkolzina. Vestnik Moskovskogo Universiteta. ... The problem on the number of precomplete classes in the functional system P_k^\tau is considered, elements of P_k^\tau are deterministic S-functions defined on words of length \tau composed from letters of an alphabet of cardinality k . An asymptotics for the number of S-precomplete classes in P_k^\tau is obtained for arbitrary fixed k and \tau tending to infinity. ...

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191. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Mobile robots with two independent coaxial drive wheels: Dynamics and the schemes of control / V. E. Pavlovskii, V. V. Evgrafov, V. V. Pavlovskii, N. V. Petrovskaya. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... A two-wheeled robot and a robot composed of a snakelike chain of two-wheeled objects are considered. The problem of trajectory synthesis and the problem of motion planning and control are studied for these mobile robots. ...

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192. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika Вестник