main diagonal

1. Get the main diagonal of a matrix, or put a vector into the main diagonal of a matrix.
   取得的主要矩阵，或将一个向量到对角线的主要矩阵对角线。
2. It is proved that the sum of squared residuals for each AR order can be obtained by the main diagonal elements of upper triangular matrix, so the column by column procedure can be used to develop a recursive algorithm for AR modeling and spectral estimation.
   可以证明，由上三角阵的主对角元素便可得到各阶AR模型的残差平方和。因此用逐列处理的方法可以构成AR模型化与谱估计的递推算法。
3. The sufficient condition and equivalent characterization of nonsingular H matrix is given and main result in reference is improved by use of the local double α diagonal superior matrix.
   利用局部双α对角占优矩阵，给出了非奇H矩阵的充分条件和等价表征，改进了文〔1〕的主要结果。
4. The main object of this paper is to design a diagonal impeller, which requires small size and high rotating speed.
   本文根据某型直升机滑油冷却及空气调节系统提出的参数要求，根据给定的流量、压力、转速及重量要求等，设计了一台小尺寸、高转速的斜流风机。
5. The main tension zone and law of stress distribution are investigated regarding the relative width of diagonal tension stress zone as variable.
   以坝踵主拉应力区相对宽度为变量，探讨了重力坝坝踵主拉应力区的范围和应力分布规律。
6. Based on 38 shear tests of Partially prestressed concrete beams, this paper discusses the main influence factors and advances a new calculated model of diagonal crack width.
   本文分析和讨论了影响部分预应力混凝土（以下以P.P.C.代之）梁斜裂缝开展的各主要因素，并根据38次P.P。
7. · Furthermore, We introduce a new kind of transitive matrix& main diagonal transitive matrix, and we discuss equivalent characterization, its graphic properties and consistent properties of its cut matrices.
   ·给出了一种新的传递矩阵&主优传递阵，并讨论了它的等价刻画、图论性质及与截阵的性质一致问题，丰富了典型阵的内容。
8. The paper analyzes main factors on the effect of brake torque at zero delivery condition by use of the total model and stationary characteristics curves of Д O-7 diagonal flow pump-turbine. A formula is deduced for brake torque at zero delivery condition.
   本文利用ДO-7型斜流式水泵水轮机的模型静态全特性曲线，分析了影响泵工况零流量制动力矩的主要因素，推导出了斜流式水泵水轮机泵工况零流量制动力矩的计算公式。
9. The main conclusions are the following: the parallelogram base of the symmetric DPCC ( SDPCC) must be diamond and the masses at the two vertices of each diagonal are equal, and the two masses of the SDPCC off the diamond base are equal.
   主要结论有：SDPCC的平行四边形基底必须是菱形，该菱形每条对角线上的两个质量相等，该菱形基底两侧的两个质量也相等；
10. The main trouble comes from the presence of "diagonal terms" in the equations.
    求解中的主要困难来自对角线项。
11. By using the property that negativeness of a matrix is not changed when its main diagonal blocks decrease, a nonlinear matrix inequality can be transformed into linear matrix inequalities ( LMIS).
    利用矩阵主对角线上的块阵缩小不改变矩阵的负定性的性质，将一个从输出反馈控制得到的非线性矩阵不等式转化为线性矩阵不等式（LMI）。
12. A diagonal latin square is a latin square whose main diagonal and back diagonal are both transversals.
    对角拉丁方是主对角线和反对角线均为截态的拉丁方。
13. The main contribution of the paper is to put forward the principal diagonal dominant norm for determining coordination equilibrated situation.
    论文的主要贡献是提出一种新的判断协同均衡局势的主对角占优准则。
14. Improve algebraic algorithm of the feedforward three-layer neural network such that the output matrix of hidden layer is upper triangular matrix whose main diagonal elements are not zero, and those matrix is nonsingular.
    改进前馈三层神经网络代数算法。改进算法后隐层的输出矩阵是主对角线上的元素全部非零的上三角矩阵，而这样的矩阵是非奇异的。
15. There are two main results in this thesis. One is an estimation of the distribution range of eigenvalues through seeking low bound of distance between eigenvalues and diagonal elements under some special conditions. The other is two constructive criteria for H-matrices.
    本文主要有两方面的结果.一方面是在一定条件下，通过寻找矩阵特征值与对角元距离的下界来估计特征值的分布；另一方面是给出了两个判别H-矩阵的构造性方法。

noun

1. the diagonal of a square matrix running from the upper left entry to the lower right entry

   Synonym:    principal diagonal