不定方程,diophantine equation英语短句,例句大全

不定方程,diophantine equation
1)diophantine equation不定方程
1.About the diophantine equation x~2-3y~4=97;关于不定方程x~2-3y~4=97
2.On Diophantine equation x~3+64=21y~2;关于不定方程x~3+64=21y~2
3.On the diophantine equation x~2+7=4y~3;关于不定方程x~2+7=4y~3

英文短句/例句

1.Solves a kind of higher mode indefinite equation using the Pell equation formula;应用Pell方程解一类高次不定方程的计算公式
2.Matrix Solution oif Indefinite Equations of First Degree over Euclidean Ring欧氏环上一次不定方程组的矩阵解法
3.On the Diophantine Equation x～3±8=Dy～2;关于不定方程x～3±8=Dy～2
4.On the Diophantine Equation x～2+D=4y～5;关于不定方程x～2+D=4y～5
5.On the Diophantine Equation x～3-1=Dy～2;关于不定方程x～3-1=Dy～2
6.On Diophantine Equation x~2+4~(2n)=y~3;关于不定方程x~2+4~(2n)=y~3
7.On the Exponential Indefinite Equation x~2+(3a~2+1)~m=(4a~2+1)~n;指数不定方程x~2+(3a~2+1)~m=(4a~2+1)~n
8.On the Diophatine Equation x~2+py~2=z~2;关于不定方程x~2+py~2=z~2
9.Exploration of Frobenius Problem about Linear Non-definite Equation;关于一次不定方程的Frobenius问题的探讨
10.On the system of diophantine equations 7x~2-5y~2=2 and 24y~2-7z~2=17;关于不定方程组7x~2-5y~2=2,24y~2-7z~2=17
11.The Solution of the Diophantine Equation;不定方程a~b+c~d=e~f的解
12.The Number of Nonnegative Integeral Resolution of a Class of Indeterminate Equation;一类线性不定方程的非负整数解组数
13.Diophantine Equation x~ny~nz~n=((x~n+y~n))~(n+2);关于不定方程X~nY~nZ~n=(X~n+Y~n)~(n+2)
14.The Condition of Existence Solve of Sufficient and Necessary on a Class of Diophantine Equations;一类不定方程组有解的充分必要条件
15.On the Diophantine Equation x~3-1=38y~2;关于不定方程x~3-1=38y~2
16.All Integral Solutions of Indeterminate Equation x~y = y~x;关于不定方程x~y=y~x的整数解
17.On the Diophantine Equation x~m+y~n=mn(m≥n,m,n∈N);关于不定方程x~m+y~n=mn(m≥n,m,n∈N)
18.On the diophantine equation x~m+y~m=m~2;关于不定方程x~m+y~m=m~2

相关短句/例句

indeterminate equation不定方程
1.Successive solutions to dualistic simple indeterminate equation;二元一次不定方程的递推解法
2.An integer solution to one kind to reciprocal indeterminate equation;一类倒数不定方程的整数解
3.Fibonacci series and a positive integer solution to an indeterminate equation;菲波那契数列与一个不定方程的正整数解
3)indefinite equation不定方程
1.The Application of Generating Function in Solving Indefinite Equation;常生成函数在解不定方程中的应用
2.The positive primitive solution of indefinite equation x~2+my~2=z~2,when m is a square free number;不定方程x~2+my~2=z~2在m无平方因子时的正本原解
4)integer solution不定方程
1.In this paper,the author has proved that the diophantine equation x~3-27=7y~2 has only an integer solution(x,y)=(3,0).利用递归数列、同余式和平方剩余证明不定方程x~3-27=7y~2仅有整数解(x,y)= (3,0)。
2.In this paper,the author has proved that the Diophantine equation x~3-1=157y~2has only integer solution(x,y)=(1,0).用同余法、递归数列证明了不定方程x3-1=157y2仅有整数解(x,y)=(1,0)。
3.In this paper,the author has proved that the diophantine equationx 2+16 = y 7 has no integer solution.利用代数数论的方法,证明不定方程x2+16=y7无整数
5)Diophantine equations不定方程
1.Then with the help of these results, all solutions of several Diophantine equations in the rings of integers of two quadratic imaginary fields are determined, which implies that the Fermat equation has no non-trivial solutions in these rings.根据代数数论的理论,将初等数论中的一些结论推广到更大的代数整数环中,应用这些结论确定了几个著名的不定方程在虚二次域的整数环中的解,指出了费尔玛方程在比整数环更大的环中也没有非平凡解。
2.By using model-theoretic methods,it is verified that one type of the diophantine equations a1xr11+a2xr22+…+anxrnn=bys(a1,a2,…,an,b are integers,r1,r2,…,rn,sare positive integers) have solutions.用模型论的方法证明了一类不定方程a1xr11+a2xr22+…+anxrnn=bys(其中a1,…,an,b为任意整数,r1,…,rn,s为任意正整数)有解。
3.All solutions of several important Diophantine equations are determined in a real quadratic field,which implies that the Fermat equation has no non-trivial solutions in this ring when n=4.确定了几个重要的不定方程在一个实二次域的整数环中的解,指出了费尔玛方程当n等于4时在此环中也没有非平凡解。
6)the system of diophantine equations不定方程组
1.On the system of diophantine equations x~2-2y~2=1 and y~2-150z~2=4;关于不定方程组x~2-2y~2=1,y~2-150z~2=4
2.On the system of Diophantine equations (m+2)x 2-my 2=2, (4m+4)y 2-(m+2)z 2=3m+2;关于不定方程组(m+2)x~2-my~2=2,(4m+4)y~2-(m+2)z~2=3m+2
3.In this paper,it has proved that the system of diophantine equations y~2-10x~2=9 and z~2-17x~2=16 has only integer solution x=0 by using the elementary methods.文章运用初等证明方法,证明了标题所述的不定方程组只有x=0的整数解。