特征方程

Based on the new explicit parametric solution to the generalized Sylvester matrix equation, a parametric approach for eigenstructure assignment via output feedback is proposed.

基于广义Sylvester矩阵方程新的显式参数解，提出了输出反馈特征结构配置的一种参数化方法。

Based on the proposed analytical general solution of the second-order Sylvester matrix equation,a parametric method of the state feedback eigenstructure assignment in a class of vibration second-order linear systems is presented.

基于二阶Sylvester矩阵方程的解析通解，给出了振动二阶线性系统的状态反馈特征结构配置设计参数化方法。

Finally,a numerical example shows the simplicity and effectiveness of the analytical general solution to the second-order Sylvester matrix equation and the parametric method of state feedback eigenstructure assignment.

最后，数值算例表明二阶Sylvester矩阵方程的解析通解和状态反馈特征结构配置设计参数化方法的简单有效性。

Based on the proposed ana- lytical general solution of the second-order Sylvester matrix equation, a parametric method of the state feedback eigenstructure assignment in a class of vibration second-order linear systems is presented.

基于二阶Sylvester矩阵方程的解析通解，给出了振动二阶线性系统的状态反馈特征结构配置设计参数化方法。

Based on the theory of stochastic differential equation, the physical property of price model was proved.

依据随机微分方程理论，证明提出的价格模型满足该文描述电价的物理特征。

The results of resonance wavenumbers and the Q -factors of WGMs deduced from the intuitive self-consistent picture of eigenray beam are well coincident with the ones obtained by directly solving the eigenvalue equation.

根据特征光线束自洽的直观图像推导了WGM谐振波数与品质因子 Q 值，并与直接求解本征值方程所获得的结果符合很好。

The assumption of the variable tendency of slip-line in active zone is made based on the numerical results. Combining the slip-line equations and boundaries, the formula of bearing capacity is deduced which can consider the density of soil. The formula of bearing capacity of strip footing on ponderable soil is also deduced assuming that the slip-line field of ponderable soil is the same with that of weightless soil, which is proved to be an upper-limit solution, as its the same with that deduced by the upper-limit method in Prandtl mechanism.

在数值计算结果的基础上，对有重土地基主动区滑移线变化趋势进行了合理假设，根据边界条件和特征线方程求得了条形基础极限承载力的解析表达式，该表达式可以计算考虑土重度的条形基础的极限承载力；获得了不考虑重度对滑移线场影响时(即有重土在普朗特尔滑移线场下)极限承载力的解析表达式，该表达式与普朗特尔机动场对应的极限承载力上限解的表达式相同，这就从理论上证明了在土重度对滑移线场没有影响这一假定前提下得到的极限承载力是一个上限；(3)利用上限定理求解了极限承载力的最小上限。

The paper prices bond and bond option, analyzing dynamic interest rate, regime-switching and option pricing. According to the affection of regime-switching to interest rate derivative pricing, the paper deduces the partial differential equation of bond pricing with Ito lemma, and obtains characteristic function and recursion equation of bond option.

从利率动态变化、结构转换和期权定价三个方面进行分析，对结构转换下的债券和债券期权进行定价，考虑了结构转换对利率衍生物定价的影响，利用Ito引理获得债券定价的偏微分方程，并得到债券期权定价的特征函数与递归等式。

The influence of the ratios of skin and core in the fiber and their properties was researched on the extended broken behavior of the spider silk.

研究了皮芯层的比例和性能特征对蜘蛛丝纤维拉伸断裂模式的作用，并建立了理论方程。

Stress intensity factor is obtained by solving singular integral equation. Numerical examples are given to show the effects of material properties, interlayer thickness, and especially the distribution parameter k on the stress intensity factor.

通过处理奇异积分方程得到了应力强度因子，数值结果给出了材料特性、界面层厚度、尤其是分布特征参数k对应力强度因子的影响。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失