In this paper, the Rayleigh Ritz ′ s theorem is generalized from complex field to quaternion field, and some estimations of the inequality on the sum of eigenvalues of self conjugate quaternion matrices are obtained.

Study on Bounds on Determinants for Kronecker Products and Hadamard Products of Positive Definite Self conjugate Matrices

关于正定自共轭矩阵的Kronecker乘积与Hadamard乘积的行列式的界限

On Strongly General Self-conjugate Matrices

关于强广义自共轭矩阵的性质

Several Theorems on Trace and Eigenvalues for Quaternion Self Conjugate Matrices Products

关于四元数自共轭矩阵乘积迹和特征值的几个定理

Buffer Solution usually containing a weak acid and its conjugate weak base, or a salt, of such a composition that the pH is held constant within a certain range.

缓冲溶液化学术语。通常指含有一种微酸和与之结合的一种微碱或盐，并能维持酸碱值基本恒定的溶液。

By discussion about a half-neutralization in an acid-base equilibrium, we reveal how the three connected species of acid system can coexist in solution with equal concentrations or percent of its conjugate base, and offer the method of preparation for this solution.

通过对鲜见报道的半中和酸碱平衡现象的深入讨论，揭示了相关三组分等浓度或等含量共存平衡的充分必要条件及相应的配制方法；

This paper advances a new method of drawing approximate ellipse in a pair of conjugate diameter, and gives theoretical formulae of calculation error.

本文提出了根据一对共轭直径用似应为扁园画近似椭园的新型方法，并提供了计算误差的理论公式，讨论了在各种情况下的作图方法以及失效问题。

Algorithm of drawing ellipse by conjugate diameter

根据椭圆共轭直径绘制椭圆曲线的算法

Longjing Movement is transpressional, and the transpressional structures in Xihu sag are characterized by staggered second-order structure belts, en echelon anticlines and conjugate faults.

龙井运动具压扭特点，西湖凹陷压扭构造特征表现为二级构造带错开排列、背斜构造雁行排列和断层共轭排列。

Therefore the fracturing process associated with the main-shock as well as the ⅰ, ⅵ type small earthquakes are stick-slip of rock masses along conjugate faults trending NE and NW.

综上所述，本区破裂过程，主震及Ⅰ、Ⅳ类地震是岩块沿NE及NW向共轭构造的粘滑；

Not paralleling to the boundaries of faces, a surface fractures only move in two directions& the directions of conjugate faults.

地表裂缝没有平行开采边界的，它们只遵循两个方向&本区共轭断裂方向；

Moreover, in the paper further discussions of the characteristics of earthquake conjugate ruptures, its relations with the geologic structures and preparatory action of the conjugate faults, etc. were made.

文中进而讨论了地震共轭破裂特征及其与地质构造的关系，以及共轭断层的孕震作用等问题。

This paper presents two kinds of improved preconditioned conjugate gradient method for solution of large sparse symmetric ill-conditioned linear equations in 3D eddy current field analysis.

本文针对三维涡流场问题分析中所形成的大型稀疏对称病态线性代数方程组，提出了两种改进型预处理共轭梯度法。

Compared with direct conjugate gradient optimal control solution method, the method of this paper is a direct and effective way to solve the problem.

给出了使用共轭梯度直接最优控制解法与本文方法的结果比较，表明本文方法是解决该类问题的一种直观有效的途径。

The real quadratic system with one real straight line solution and two conjugate complex straight line solution

具有一条实积分直线和一对共轭复积分直线的实二次微分系统

In this paper, we consider the incomplete LU preconditioning strategies for the conjugate gradient iterative solution to the large sparse non-Hermitian systems resulting from finite element method ( FEM).

在这里，我们重点考虑了用不完全分解预处理技术结合共轭梯度迭代法求解此类型的大型非Hermit有限元方程。

The first step is to attach protein A on the reacting plate as solid coating layer; after adding double antibody, the following step is to use the conjugated enzyme with protein A to coat Fc segment of IgG immunoglobulin preventing the nonspecific reaction.

第1次是将A蛋白包被于反应板，加双抗体夹心后，第2次将酶联A蛋白包被抗体中IgG的Fc段，阻止了非特异性反应。

The rate of increase in conjugated enzyme, the peroxidase activity and the molar E/ P ratios increased with the amount of peroxidase added in biochemical determination.

免疫化学鉴定结果，标抗的酶量、酶活力和E/P比值随着酶加入量的增多而增高。

The conjugated double bond in tung oil molecular with high activity can take place substitution reaction with one of ortho or para hydrogens of phenol.

桐油的共轭双键具有极强的反应活性，易与苯酚芳环上邻或对位的活性氢发生傅氏取代反应。

Two types of metallic bond, conjugated σ bond and conjugated π bond, harve been treated by LCBO MO method.

用LCBO MO法统一地处理了金属键的两个类型：共轭σ键和共轭π键。

Mechanism of photo-carrier generation in polymer with conjugated triple bond

含有共轭三键共聚物中光生载流子产生机制的探讨