可解方程

Based on the concept of the non-proportional damping which may be divided into the proportional part for dissipation of energy and the nonproportional part for transformation of energy, a new modal superposition pseudo-force method is presented if the approximate decoupling method is not suitable. In this method the coupled modal equations are solved by iteration in which the coupling terms are treated as pseudo-force and set to the right side of the equations.

在不能进行近似解耦分析时，基于非比例阻尼可分为耗散能量的比例部分和转换能量的非比例部分这种概念，建立了一种拟力实模态叠加法，即把正则化的耦合模态方程中代表非比例阻尼部分的耦合项作为虚力，放到方程的右端，再运用迭代法求解。

The result shows: at different temperatures the outcomings obtained in determining dissociation constants with such two theories can be seen effective, but the doubly reciprocal curves of quenching equation are not conformed to quenching curves based on dynamic and static quenching mechanism as those of fluorescence enhancement.

通过荧光和紫外方法研究盐酸左氧氟沙星、氟罗沙星、加替沙星和沃氟沙星四种喹诺酮类药物与人血清白蛋白的作用，在不同温度下对荧光加强和猝灭理论公式的等价性和精细差异进行了比较，结果表明：在不同温度下两种理论公式尽管在求取解离常数上所得结果都可视为有效，但猝灭方程的双倒数图反而不及荧光加强方程的双倒数图与体现动态、静态猝灭机理的猝灭曲线一致。

A new sufficient condition of passive control for the systems is given by using the methods of Riccati equation, Lyapunov stable theory and matrix theory.

利用Riccati方程的方法，Lyapunov稳定理论和矩阵理论，给出了一类具有饱和输入的线性系统可无源控制的一个新的充分条件、利用Riccati方程的解，提出了该系统的一种无源控制器的设计方法。

Some references indicated that the reachability of a Petri net can be analyzed by solving its state equation and judging whether or not there exists a legal firing sequence whose firing number vector is a solution of the state equation, but it is somewhat difficult to achieve.

已有文献提出通过解petri网的状态方程并判定是否存在以它的某个解为发生数向量的合法引发序列来分析petri网的可达性，这往往有一定的困难。

By the properties of k-th order symmetric function , we obtained some estimations of integral mean value of the solutions of the boundary value problems for some kind of special partial differential equations in Dk which can be changed into Laplace equations in the unit circle by way of suitable transform .

另外，D_k上的某一类特殊的偏微分方程经过适当变换后转化为单位圆上的Laplace方程，其边值问题的解的积分平均估计可由k次对称化函数的性质较好给出。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Based on the wave equation in the acoustic fluid space and the theory of thin-wall structure, the uncoupling error in low frequency range about the nonsymmetrical coupled structure-acoustic analysis equation is studied.

该对称模型特征值的非负性及特征问题的可降阶性也在本文中进行了深入研究，同时指出了在复模态分析中应当注意的问题；（2）由声空间波动方程和薄板理论出发，对非对称声振耦合方程的低频解耦误差问题进行了研究。

The 5-D mothod was used in the optimum design of nonsymmetrical T-type passive filter. Results show that 5-D data field obtained provides direct decisionmaking supports in the global optimum solution of quaternion nonlinear equation, and for the robust analysis of the solution as well.

变频器用非对称T型无源滤波器优化设计的实践表明，在求此类4元非线性方程全局最优解及判别数值解的鲁棒性时，该方法所得到的五维数据场可提供直观的信息。

The bi-harmonic equation of simply supported thin polygonic plates is decomposed into Poisson's equations.

简支多边形薄板双调和定解问题可分解为二个互不耦合的Poison方程的定解问题。

Then we systematically study state transition probability of two-unit series system and paralleled system and stable availability of system, and drew the following conclusions:Firstly, we present the partial differential equation which satisfies state transition probability of the two-unit series system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

然后对两个不同型部件、一个修理设备组成的串联系统和并联系统的状态转移概率，以及系统的稳态可用度进行系统研究，得到了如下一些结果。第一，对两个不同型部件、一个修理设备组成的串联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。