1) three solutions
三解
1.
With different assumptions between p(x),q(x) and N and some reasonable assumptions and growth conditions on nonlinearities, the existences of three solutions that are of the same systems under different conditions is obtained by using three-critical-points theorem obtained by B.
在p(x),q(x)与N不同的大小关系下,对非线性项做适当假设和增长性条件,我们在变指数Sobolev空间W_0~(1,p(x))(Ω)×W_0~(1,(q(x))(Ω)中,利用Ricceri三临界点定理(Nonlinear Analysis 70(2009)3084-3089)得同一方程组在不同条件下的三解性。
2) 3D analytical solution
三维解析解
1.
3D analytical solution for a piezoelectric rotating annular plate with functionally graded property
功能梯度压电旋转圆环的三维解析解
3) 3-dimensional graphic solution
三维图解
1.
With the 3-dimensional CAD software—MDT(Mechanical DeskTop),the procedure of 3-dimensional graphic solution for opening value of cross rolling pass was.
节省了设计时间,减轻了设计强度,为管件斜轧工业生产提供了一种简便、精确、直观的三维图解计算方法。
4) anatomic triangle
解剖三角
5) three dimensional explanation and construction
三维解构
6) triangular factorization
三角分解
1.
Then,a new fast algorithm of the minimal norm least squares solution for linear system whose coefficients is an m×n symmetric Loewner matrix with full column rank is given by forming a special block matrix and researching the triangular factorization of its inverse.
对于工程计算中常常遇到的一类线性方程组的求解,通过构造特殊分块矩阵并研究其逆矩阵的三角分解,给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组,及极小范数最小二乘解的快速算法,该算法的计算复杂度为O(mn)+O(n2),而一般方法的计算复杂度为O(mn2)+O(n3)。
2.
In order to decrease the computation amount and reduce the triangular factorization error of Hankel matrix and its inverse,a new fast algorithm is presented in terms of the symmetrical structure of Hankel matrix.
为了降低Hankel矩阵及其逆矩阵三角分解算法的计算量和减小这类算法的误差。
3.
A fast algorithm for determining the triangular factorization of a symmetric r-circulant matrix and inverse matrix using O(n~2) operations is presented.
根据r-对称循环矩阵的特殊结构给出了求这类矩阵本身及其逆矩阵三角分解的快速算法,算法的运算量均为O(n2),一般矩阵及逆矩阵三角分解的运算量均为O(n3)。
补充资料：三解脱门
【三解脱门】
（术语）又云三三昧。有单重二种。(参见：三三昧)
（术语）又云三三昧。有单重二种。(参见：三三昧)
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