1) On Recurrence sequence of order three
三阶递推序列
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。
6) 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。
补充资料：三阶
【三阶】
（人名）自隋至唐初有所谓三阶法者，为三阶禅师信行所创。信行姓正氏，魏郡人，其母祈佛而生。四岁出家，八岁转涉经论，后于相州法藏寺受具足戒，持戒严峻，四远英达，皆造其门。隋开皇初，住真寂寺。撰对根起行，三阶集录等四十余卷。智行兼备，时称为四依之菩萨。其化大行。十四年寂，寿五十四。见续高僧传十四。
（人名）自隋至唐初有所谓三阶法者，为三阶禅师信行所创。信行姓正氏，魏郡人，其母祈佛而生。四岁出家，八岁转涉经论，后于相州法藏寺受具足戒，持戒严峻，四远英达，皆造其门。隋开皇初，住真寂寺。撰对根起行，三阶集录等四十余卷。智行兼备，时称为四依之菩萨。其化大行。十四年寂，寿五十四。见续高僧传十四。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条