1) not zero public solution
非零公共解
1.
This paper has anlyzed the sufficient and necessary conditions of the phenomenon—two homogeneous linear equation groups have a not zero public solution,and provided a general form of the not zero public solution .
首先讨论了两个齐次线性方程组有非零公共解的充分必要条件并给出了非零公共解的一般形式,然后讨论了两个线性方程组同解的一个充分必要条件和非齐次线性方程组的线性无关解向量的个数以及非齐次线性方程组通解的表达式,最后证明了非齐次线性方程组有解的一个充分必要条件。
2) common zero point
公共零点
1.
A new definition and a new iterative scheme are introduced and the result that the iterative sequence is strongly convergent to common zero points of maximal monotone operators Ai(i=1,2,…,m) is obtained by using the techniques of Lyapunov functional and generalized projection operator,etc.
将引进一个新定义、给出一种新迭代算法,并利用Lyapunov泛函与广义投影算子等技巧,证明迭代序列强收敛于Ai的公共零点,i=1,2,…,m。
2.
A new simpler iterative scheme is introduced which is proved to be weakly convergent to common zero points of maximal monotone operators Ai,i=1,2,…,m,by using the techniques of Lyapunov functional and generalized projection operator,etc.
将给出一种计算量较小的新迭代算法,并利用Lyapunov泛函与广义投影算子等技巧,证明迭代序列弱收敛于A的公共零点,i=1,2,…,m。
3) strong non-zero solution
强非零解
4) all-nonzero solution
全非零解
1.
On the basis of the solution identification theorem in linear equations,a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.
在线性方程组有解判别定理的基础上,给出了一个判定非齐次线性方程组存在全非零解的方法。
2.
We present a necessary and sufficient conditions of homogeneous linearity equations existing all-nonzero solution.
给出了一个判定齐次线性方程组存在全非零解的充分必要条件。
5) Non-zero solution
非零解
1.
On the non-zero solutions and eigenvectors for a class of nonlinear equation;
关于一类非线性方程的非零解与固有元问题
2.
Homogeneous linear equations of n-variables have the non-zero solutions when the rank of its matrix is less than n.
n元齐次线性方程组当其矩阵的秩小于 n时有非零解。
3.
This paper mainly discusses the non-zero solution of non-linear symmetrical equation sets of S1=S2…=Sλ_1 = Sλ+１=…=Sn= Sn +1,(1≤λ≤ｎ),(Sk= x1k+x2k+…xnk,k =0,1,2,…） and points out the structure of the solution sets.
主要讨论了非线性对称方程组Ｓ１＝Ｓ２＝…Ｓ２＝…＝Ｓλ－１＝Ｓλ＋１＝…＝Ｓｎ＝Ｓｎ＋１（１≤λ≤ｎ），（Ｓｋ＝ｘ１ｋ＋ｘ２ｋ＋…＋ｘｎｋ，ｋ＝０，１，２，…）的非零解，并指出其解集的结构。
6) nonzero solution
非零解
1.
The existence of the nonzero solution for set-valued condensing mapping equation in Hilbert space;
关于Hilbert空间中的多值凝聚映象方程的非零解
2.
Furthermore,we utilize our results to study the global characteristics of the eigenvalue on the condensing operator and the nonzero solution of operator equation, and application to YpbIcoH operator.
本文建立凝聚映象的锥拉、压不动点定理和更为广泛的范数形式凝聚映象的锥拉、压不动点定理以及对非锥映象的表现形式 ,然后利用所得的结果来研究凝聚算子的固有值的全局特征和算子方程的非零解并用到YpbIcoH算子上 。
3.
The existence of nonzero solutions of KyFan inequality is studied by topological degree theory.
我们用拓扑度理论对一类KyFan不等式讨论了其非零解的存在性。
补充资料：非想非非想处天
1.佛教语。即三界中无色界第四天。此天没有欲望与物质﹐仅有微妙的思想。
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