منابع مشابه
On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
We investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers. In particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.
متن کاملUniform Kazhdan Constant for {SLn(Z)}n≥3
Let R be a ring generated by l elements with stable range r. Assume that the group EL d (R) has Kazhdan constant ǫ 0 > 0 for some d ≥ r + 1. We prove that there exist ǫ(ǫ 0 , l) > 0 and k ∈ N, s.t. for every n ≥ d, EL n (R) has a generating set of order k and a Kazhdan constant larger than ǫ. As a consequence, we obtain for SL n (Z) where n ≥ 3, a Kazhdan constant which is independent of n w.r....
متن کاملon the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$
we investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers. in particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.
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قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...
15 صفحه اولTrace Construction of a Basis for the Solution Space of slN qKZ Equation
The trace of intertwining operators over the level one irreducible highest weight modules of the quantum affine algebra of type AN−1 is studied. It is proved that the trace function gives a basis of the solution space of the qKZ equation at a generic level. The highest-highest matrix element of the composition of intertwining operators is explicitly calculated. The integral formula for the trac...
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ژورنال
عنوان ژورنال: The Chittagong University Journal of Science
سال: 2021
ISSN: 1561-1167
DOI: 10.3329/cujs.v41i1.51918