85 research outputs found

    Avoiding 2-binomial squares and cubes

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    Two finite words u,vu,v are 2-binomially equivalent if, for all words xx of length at most 2, the number of occurrences of xx as a (scattered) subword of uu is equal to the number of occurrences of xx in vv. This notion is a refinement of the usual abelian equivalence. A 2-binomial square is a word uvuv where uu and vv are 2-binomially equivalent. In this paper, considering pure morphic words, we prove that 2-binomial squares (resp. cubes) are avoidable over a 3-letter (resp. 2-letter) alphabet. The sizes of the alphabets are optimal

    The Hilbert problem: The case of infinitely many discontinuity points of coefficients

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    We obtain a solution to the Hilbert boundary value problem in the theory of analytic functions on the half-plane in the case that the coefficients of the boundary condition have countably many discontinuity points of the first kind. We elaborate the two substantially different situations: the series consisting of the jumps of the argument of the coefficient function and the increments of its continuous part converges and this series diverges. Accordingly, Hilbert problems with finite and infinite indices result. We derive formulas for the general solution and investigate the pictures of solvability of these problems. © 2008 Pleiades Publishing, Ltd

    The potential risks and impact of the start of the 2015–2016 influenza season in the WHO European Region: a rapid risk assessment

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    Background: Countries in the World Health Organization (WHO) European Region are reporting more severe influenza activity in the 2015–2016 season compared to previous seasons. Objectives: To conduct a rapid risk assessment to provide interim information on the severity of the current influenza season. Methods: Using the WHO manual for rapid risk assessment of acute public health events and surveillance data available from Flu News Europe, an assessment of the current influenza season from 28 September 2015 (week 40/2015) up to 31 January 2016 (week 04/2016) was made compared with the four previous seasons. Results: The current influenza season started around week 51/2015 with higher influenza activity reported in Eastern Europe compared to Western Europe. There is a strong predominance of influenza A(H1N1)pdm09 compared to previous seasons, but the virus is antigenically similar to the strain included in the seasonal influenza vaccine. Compared to the 2014/2015 season, there was a rapid increase in the number of severe cases in Eastern European countries with the majority of such cases occurring among adults aged < 65 years. Conclusions: The current influenza season is characterized by an early start in Eastern European countries, with indications of a more severe season. Currently circulating influenza A(H1N1)pdm09 viruses are antigenically similar to those included in the seasonal influenza vaccine, and the vaccine is expected to be effective. Authorities should provide information to the public and health providers about the current influenza season, recommendations for the treatment of severe disease and effective public health measures to prevent influenza transmission

    The Hilbert problem: The case of infinitely many discontinuity points of coefficients

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    We obtain a solution to the Hilbert boundary value problem in the theory of analytic functions on the half-plane in the case that the coefficients of the boundary condition have countably many discontinuity points of the first kind. We elaborate the two substantially different situations: the series consisting of the jumps of the argument of the coefficient function and the increments of its continuous part converges and this series diverges. Accordingly, Hilbert problems with finite and infinite indices result. We derive formulas for the general solution and investigate the pictures of solvability of these problems. © 2008 Pleiades Publishing, Ltd

    The Hilbert problem: The case of infinitely many discontinuity points of coefficients

    Get PDF
    We obtain a solution to the Hilbert boundary value problem in the theory of analytic functions on the half-plane in the case that the coefficients of the boundary condition have countably many discontinuity points of the first kind. We elaborate the two substantially different situations: the series consisting of the jumps of the argument of the coefficient function and the increments of its continuous part converges and this series diverges. Accordingly, Hilbert problems with finite and infinite indices result. We derive formulas for the general solution and investigate the pictures of solvability of these problems. © 2008 Pleiades Publishing, Ltd

    The Hilbert problem: The case of infinitely many discontinuity points of coefficients

    No full text
    We obtain a solution to the Hilbert boundary value problem in the theory of analytic functions on the half-plane in the case that the coefficients of the boundary condition have countably many discontinuity points of the first kind. We elaborate the two substantially different situations: the series consisting of the jumps of the argument of the coefficient function and the increments of its continuous part converges and this series diverges. Accordingly, Hilbert problems with finite and infinite indices result. We derive formulas for the general solution and investigate the pictures of solvability of these problems. © 2008 Pleiades Publishing, Ltd

    Algorytm wyboru optymalnego sposobu prowadzenia firmy

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    The algorithm for choosing the most optimal Maintenance Company is considered. The cost and quality rates such as Maintenance Cost, the Cost of Waiting Lines, the Costs of Aircraft Shipping to Maintenance Station, the Cost of After-maintenance Service, the Maintenance Quality rate are described. Ranges of permissible values of these parameters are justified.Algorytm wyboru optymalnego utrzymania Firmy musi być przemyślany. W publikacji opisane są koszty i jakość. Przytoczono takie wskaźniki jak koszty utrzymania, koszty przestojów, koszty przewozów lotniczych, koszty uruchomienia serwisu, prędkość dostaw, jakość wykonania, konserwacja. W artykule uzasadniono zakresy dopuszczalnych wartości tych parametrów
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