14 research outputs found

    Les lettres autographes de Khwâja ‘Obeydallâh Ahrâr

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    Dans la seconde moitié du XVe siècle, ‘Obeydallâh b. Mahmud Khwâja Ahrâr, chef de l’ordre soufi Naqshbandiyya et grand propriétaire foncier, jouissait dans toute la population du Mavarannahr et du Khorassan d’une autorité telle qu’il influença fortement la vie politique, idéologique et sociale de ces régions. Mirzâ Mohammad Heydar, auteur des mémoires intitulés Târikh-e Rashidi (XVIe siècle), en évoquant le grand prestige qui l’entourait, dit qu’il était d’usage, parmi les sultans de son époq..

    On the properties of solutions of a cross-diffusion system with nonlinear boundary flux

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    In this paper, based on a self-similar analysis and the method of standard equations, the properties of a nonlinear cross-diffusion system coupled via nonlocal boundary conditions are studied. We are investigated the qualitative properties of solutions of a nonlinear system of parabolic equations of cross-diffusion in a medium coupled with nonlinear boundary conditions. It is proved that for certain values of the numerical parameters of the nonlinear cross-diffusion system of parabolic equations coupled via nonlinear boundary conditions, they may not have global solutions in time. Based on a self-similar analysis and the principle of comparing solutions, a critical exponent of the Fujita type and a critical value of global solvability are established. Using the comparison theorem, upper bounds for global solutions and lower bounds for blow-up solutions are obtained

    AN EFFECTIVE METHOD FOR SYNTHESIZING THE ABBREVIATED DISJUNCTIVE NORMAL FORM OF A BOOLEAN FUNCTION

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    In discrete mathematics, minimizing Boolean functions in the class of disjunctive normal forms is one of the necessary tasks. This paper presents an effective method for synthesizing the reduced disjunctive normal form of a Boolean function

    A logical method for finding maximum compatible subsystems of systems of boolean equations

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    The problem of finding the maximum joint subsystem of Boolean equation systems is solved. An algorithm for finding the maximum upper zero of a monotone Boolean function is proposed. An efficient procedure for calculating the values of monotone functions on sets of a - dimensional cube is investigated and developed. An algorithm for solving systems of Boolean equations based on the search for the maximum upper zero of monotone functions of the logic algebra is developed
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