منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولDiophantine Equations Related with Linear Binary Recurrences
In this paper we find all solutions of four kinds of the Diophantine equations begin{equation*} ~x^{2}pm V_{t}xy-y^{2}pm x=0text{ and}~x^{2}pm V_{t}xy-y^{2}pm y=0, end{equation*}% for an odd number $t$, and, begin{equation*} ~x^{2}pm V_{t}xy+y^{2}-x=0text{ and}text{ }x^{2}pm V_{t}xy+y^{2}-y=0, end{equation*}% for an even number $t$, where $V_{n}$ is a generalized Lucas number. This pape...
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Motivated by questions of algorithm analysis, we provide several distinct approaches to determining convergence and limit values for a class of linear iterations.
متن کاملOn a Family of Three Term Nonlinear Integer Recurrences
It is not hard to see (cf. [1, Section 4]) that Ed ⊆ Dd ⊆ Ed. Thus the problem that remains is to find out for which parameters r ∈ ∂Ed do we have r ∈ Dd. This question was addressed for the two-dimensional case in [3, Section 2]. It is easy to see that D2 is (apart from its boundary) an isosceles triangle. In [3, Section 2] ∂D2 was characterized for two sides of this triangle. To characterize ...
متن کاملA New Family of Somos-like Recurrences
We exhibit a three parameter infinite family of quadratic recurrence relations inspired by the well known Somos sequences. For one infinite subfamily we prove that the recurrence generates an infinite sequence of integers by showing that the same sequence is generated by a linear recurrence (with suitable initial conditions). We also give conjectured relations among the three parameters so that...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2013
ISSN: 1742-6596
DOI: 10.1088/1742-6596/410/1/012057