1) linear recurrence sequences
线性递推序列
1.
In this paper an arithmetic property of linear recurrence sequences with variable coefficients is given which is analogue to the case of linear recurrence sequences with constant coefficiellts.
我们给出变系数线性递推序列的一个算术性质，它类似于常系数线性递推序列的情形。
2) recursive sequence
递推序列
1.
This paper proves that the Diophantine Equation has only positive integral solution with the methods of recursive sequence,congruence and quadratic remainder.
利用一种初等的证明方法,即递推序列、同余式和平方剩余的方法,对不定方程x2-11y4=38的正整数解进行了研究,证明了不定方程x2-11y4=38仅有正整数解(x,y)=(7,1)。
2.
In this paper the author has proved that the Diophantine equation x2-3y4=22 has only positive integral solutions(x,y) =(5,1),(85,7) with the methods of recursive sequence,congruence and quadratic remainder.
利用一种初等的证明方法,即递推序列,同余式和平方剩余的方法,对一个不定方程x2-3y4=22的正整数解进行了研究,证明了不定方程x2-3y4=22仅有正整数解(x,y)=(5,1),(85,7)。
3) Recurrence sequence
递推序列
1.
For the special recurrence sequence ｛a_n｝, the characteristic polynomial of which is C(x)=(x-1)r ,the article give a general solution of that and an abundant and essential condition of judging that:existing integer r:r≥1,for whichever n≥0, Δra_n=0 is certainly be obtained.
对于特征多项式为C(x) =(x- 1) r的特殊递推序列an,给出了它的通解求法以及判定它的充要条件 :存在整数r≥ 1,对任意的n≥ 0 ,Δran =0成立。
4) nonlinear recurrent sequence
非线性递推数列
1.
By using both of mathematical induction and method of undetermined coefficient,it is proved that some univariate equations of higher degree with integral coefficient have unique positive real solution,then the general terms of two nonlinear recurrent sequences are established,which generalize the results in Item 5,Paper One of 1989 National High School Mathematics Competition.
利用数学归纳法和待定系数法,通过证明某些整系数一元高次方程有且只有一个特殊的正实数解,得到两个非线性递推数列的通项公式,从而推广了1989年全国高中数学联赛第一试第五题的结果。
6) Linear recurring sequence
线性递归序列
1.
In this paper we give a new generator of source sequence,which is a class of linear recurring sequences on elliptic curves over a finite field.
试图寻找一种新的源序列发生器,即基于有限域的椭圆曲线上的线性递归序列。
2.
We discuss the properties of continued fractions over Galois rings, and apply then to linear recurring sequence synthesis over Galovs rings.
本文讨论了 Galois环上连分式的性质 ,并将其用于 Galois环上线性递归序列综合问题 。
补充资料：递归序列
递归序列
recursive sequence
递归序列【re皿叙s闪.叮犯e或rec~nt sequence;的3-BPaT“叨noc月e压oBaTe几I.H0cT‘」 一个序列“。，“，，…，满足关系式 a。+，+自“。+p一!+”’+cl，“，一0，其中cl，…，c，是一些常数·如果己知前p项，则根据上述关系式可以依次算出其余各项.递归序列的一成嘴睽蜘好是Fi加nacci)抑Ul，l，2，3，5，8，一(a。*:=。，.*，+a。，。、，=。、=1).一个递归级数是一个幂级数(Power series)。。+“;x+“Zx’+…，其系数构成递归序列.这种级数表示处处有定义的有理函数. BC3一3【补注1从多方面研究递归序列的一篇很好的参考文献是〔Al].
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参考词条