1)the most predigest positive integer coefficient solution最简正整数系数解
2)least positive integer solution最小正整数解
1.Giving a criterion of the least positive integer solution to general binary quadratic Diophantine equation, and the least positive integer solution to several binary quadratic Diophantine equations and Pell equations, generalizing two results in and .给出一般二元二次不定方程最小正整数解的一个判定准则 ,确定了几类二元二次不定方程和Pell方程的最小正整数解 ,推广了 [1 ]、[2 ]中的两个结
3)positive integral solution正整数解
1.With a recursive sequence,quadratic remainder and congruence,the diophantine equation x2-3y4=97 is proved that it has only positive integral solutions(x,y)=(10,1).运用递归数列,同余式和平方剩余证明了不定方程x2-3y4=97仅有正整数解(x,y)=(10,1)。
2.Let p be a prime number,using Fermat Infinite method of descent,to study the positive integral solution of the equations x~4±3px~2y~2+3p~2y~4=z~(2) and x~4±6px~2y~2-3p~2y~4=z~(2).设p为素数,利用F erm at无穷递降法,研究方程x4±3px2y2+3p2y4=z2与x4±6px2y2-3p2y4=z2正整数解的存在性,证明该方程在p≡5(m od 12)时均无正整数解,在p≡11(m od 12)时有解且有无穷多组正整数解,获得方程无穷多组正整数解的通解公式和方程的部分正整数解。
3.By using computer language, we get all the positive integral solution of x2±xy+y2 = P and x2±xy+y2 = 3p within the scope of arbitrarily.讨论了方程x2±xy+y2=k的可解性,利用C语言编写出方程x2±xy+y2=p和x2±xy+y2=3P的计算程序,并获得方程在一定范围内的所有正整数解。
英文短句/例句
1.Positive Integer Solutions of The Equation(ax~m+1)/(ax+1)=y~n;方程(ax~m+1)/(ax+1)=y~n的正整数解
2.Positive Integer Solutions of the Equation (ax~m-1)/(ax-1)=y~n;方程(αx~m-1)/(αx-1)=y~n的正整数解
3.The positive integer solution to the equation φ (kn) = φ ((k+1) n), (k = 1, 2, ...);方程φ(kn)=φ((k+1)n),(k=1,2,…)的正整数解
4.Positive Integral Solution of Indeterminate Equation x~2-py~2=z~2不定方程x~2-py~2=z~2的正整数解
5.Number for Positive Integral Solution of the Diophantine Equation mx+2y+z=n(m≥3,n≥m+3);不定方程mx+2y+z=n(m≥3,n≥m+3)的正整数解数
6.On the Class Number of Positive Integer Solution of Multi-head Linear Diophantine Equation一类多元一次不定方程的正整数解的组数问题
7.The Positive Integer Solutions of the Quadratic Indefinite Equation 3f~2+3fg+g~2=h~2;二次不定方程3f~2+3fg+g~2=h~2的正整数解
8.A Positive Integral Solution to the Indefinite Cubic Equation with 36 Equality Signs;具有三十六个等号的三次不定方程的正整数解
9.The Confirmation of Positive Integral Solution of the Indeterminate Equation 1/x+1/y=s/t;不定方程1/x+1/y=s/t正整数解的确定
10.An Analysis of the Positive Integral Solution to the Indefinite Cubic Equation with 10 Equality Signs;具有十个等号的三次不定方程的正整数解
11.An equation involving the functions Z(n) and D(n) and its all positive integer solutions一个包含Z(n)和D(n)函数的方程及其它的正整数解
12.The Integral Solutions of the Congruence Equation for the Sum of even Exponent of The Continuous Positive Integers连续正整数偶次幂之和同余方程的整数解
13.an integer or a fraction.正整数负整数正分数负分数和零。
14.ECM cathode design using numerical simulated cut -and - try基于正问题数值求解模拟“试验修整”的电解加工阴极设计
15.THE METHOD OF VARIATION OF PARAMETERS FOR SALVING THE RAITZIN’S CANONICAL EQUATIONS OF NONHOLONOMIC NONCONSERVATIVE MECHANICAL SYSTEMS;求解非完整非保守力学系统Raitzin正则方程的常数变易法
16.An expression of a positive integer as a sum of positive integers.正整数式用一个正整数来表示正整数总集合的表达方式
17.X~4+Y~4=Z~4(No Integer Solution);X~4+Y~4=Z~4无整数解完整解法
18.Revised Pension Adjustment Index养恤金订正调整指数
相关短句/例句
least positive integer solution最小正整数解
1.Giving a criterion of the least positive integer solution to general binary quadratic Diophantine equation, and the least positive integer solution to several binary quadratic Diophantine equations and Pell equations, generalizing two results in and .给出一般二元二次不定方程最小正整数解的一个判定准则 ,确定了几类二元二次不定方程和Pell方程的最小正整数解 ,推广了 [1 ]、[2 ]中的两个结
3)positive integral solution正整数解
1.With a recursive sequence,quadratic remainder and congruence,the diophantine equation x2-3y4=97 is proved that it has only positive integral solutions(x,y)=(10,1).运用递归数列,同余式和平方剩余证明了不定方程x2-3y4=97仅有正整数解(x,y)=(10,1)。
2.Let p be a prime number,using Fermat Infinite method of descent,to study the positive integral solution of the equations x~4±3px~2y~2+3p~2y~4=z~(2) and x~4±6px~2y~2-3p~2y~4=z~(2).设p为素数,利用F erm at无穷递降法,研究方程x4±3px2y2+3p2y4=z2与x4±6px2y2-3p2y4=z2正整数解的存在性,证明该方程在p≡5(m od 12)时均无正整数解,在p≡11(m od 12)时有解且有无穷多组正整数解,获得方程无穷多组正整数解的通解公式和方程的部分正整数解。
3.By using computer language, we get all the positive integral solution of x2±xy+y2 = P and x2±xy+y2 = 3p within the scope of arbitrarily.讨论了方程x2±xy+y2=k的可解性,利用C语言编写出方程x2±xy+y2=p和x2±xy+y2=3P的计算程序,并获得方程在一定范围内的所有正整数解。
4)positive integer solution正整数解
1.An equation involving the pseudo Smarandache function and its positive integer solutions;关于伪Smarandache函数的一个方程及其正整数解
2.On the necessary condition of one class of hyperelliptic equations having the positive integer solutions;一类超椭圆方程有正整数解的必要条件的问题
3.A function equation related to the Smarandache function and its positive integer solutions;一个与Smarandache函数有关的函数方程及其正整数解
5)positive integer solutions正整数解
1.The Positive Integer Solutions of the Indefinite Equationx~2+(k-1)y~2=kz~2 & x~(k+2)-x~k =py~k;不定方程x~2+(k-1)y~2=kz~2与x~(k+2)-x~k=py~k的正整数解
2.An equation involving the functions Z(n) and D(n) and its all positive integer solutions一个包含Z(n)和D(n)函数的方程及其它的正整数解
3.An equation involving the Euler function and the Smarandache ceil function of k order and its positive integer solutions一个包含Euler函数及k阶Smarandache ceil函数的方程及其正整数解
6)solution of positive integer整正数解
延伸阅读
正整数即“自然数”(1159页)。
