1) intergral coefficient quadratic factorization
二次整系数因式
1.
Using Gel found-Baker method,this paper proves that if x~n-bx-a has intergral coefficient quadratic factorizations,then n< max(87｜b｜,512 870),besides cases n≡2(mod3),b=-1,a=-1,and n≡2(mod6),b=1,a=-1.
设n≥5,a,b≠0,n∈N,a,b∈Z,利用Gel'found Baker方法证明:若多项式xn-bx-a有二次整系数因式,则除了n≡2(mod6)且b=1,a=-1,与n≡2(mod3)且b=-1,a=-1这些明显情形外,必有n
2) quadratic factorization
二次因式
1.
It is obtained a sufficient and necessary condition on x~n-bx-a having a irreducible quadratic factorization x~2-sx-t in Q based on the recurrence, founded a relation between the coefficients a and b of x~n-bx-.
在此基础上得到三项式xn-bx-a存在Q上不可约二次因式x2-sx-t的充要条件,建立了三项式xn-bx-a的系数a、b与不可约二次因式x2-sx-t的系数s、t之间的联系。
2.
Using Baker methods, it is proved that if x n-x-a has quadratic factorization, then n<512 880, except that case n≡2(mod6) and a=-1.
设n是大于 4的正整数 ,a是非零整数 ,运用Baker方法证明了 :如果三项式xn -x-a有二次因式 ,则除了n ≡ 2 (mod 6 )且a =- 1这一情况以外 ,必有n<51 2 880 。
3.
In this aper, Using Baker methods, we prove that if x n-x-a has quadratic factorizations, then n <512880, except case n ≡2(mod6) and a=-1.
设 n是大于 4的正整数 ,a是非零整数 ,本文运用 Baker方法证明了 :如果三项式 xn- x- a有二次因式 ,则除了 n≡ 2 (mod6)且 a=- 1这一情况以外 ,必有 n<51 2 880 。
3) quadratic factor
二次因式
1.
In this paper,using the Baker method,we prove that if the trinomi a l x-n-x-a has a quadratic factor over Q,then n<512880 ex cept when n≡2(mod 6) and a=-1.
本文运用Baker方法证明了 :如果三项式xn-x -a在Q上有二次因式 ,则除了n≡ 2 (mod 6)且a =-1这一情况以外 ,必有n <51 2 880 。
4) integer factor
一次整因式
1.
Method and theoretcial basis of finding out all linear power integer factors with the rational root of the existing integer coefficient unury multinomial being given and simple and easy way of analyzing the fourth power multinomial without the rational root being shown.
给出了整系数一元多项式在有理根的情况下,如何一次找出其所有一次整因式的方法、理论根据;同时给出了在没有有理根的情况下,仅就四次多项式的一种简便易行的分解方法。
5) quadratic integer square
二次整数方
1.
This paper also gives the definition of quadratic integer squares alone with the product between them and replace of proving the existence of pandiagonal magic squares of orders mn by proving the existence of pandiagonal magic squares of orders m and n respectively.
本文给出了二次整数方及其乘积的定义 ,化mn阶全对角线幻方的存在性为m阶和n阶全对角线幻方的存在性 。
6) quadratic prime factor
二次质因式
1.
Raised the differential method of resolving rational function into fractions, and formulas were suggested of the coefficients which correspond to liner factor and quadratic prime factor.
根据有理函数及其导数性质 ,用微分法把有理函数分解为部分分式的和 ,给出了一次因式所对应的部分分式各系数和二次质因式前两对系数的计算公式 。
补充资料：输出反馈(见线性二次型次优控制)
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3h日c卜口fon以以{输出反馈型次优控制。(output王eedbaek)见线性二次
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