超定问题

Being based on the acknowledgement of continuum medium hypothesis, it has made an analysis of some general movements of macro material, which points out that there are a series non-consistence problems in logic in the Cauchy's stress theory and Stokes's stress hypothesis, etc.

除了指出 Cauchy 的两个应力定理， Stokes 应力假设等存在的逻辑不自洽问题，并产生的原因进行了系统分析以外，演绎地构造了连续介质物质模型严格假设下的完整形式表述体系，并且演绎地导得这个演绎体系必然导致三维物质流形，在三维 Euclid 空间中恒为超定。

The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point.

在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题。

The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point. The former can be solved directly by the equilibrium differential equation and the boundary conditions of four edges of the plate.

在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题，广义静定弯曲可以由板的平衡微分方程及四边边界条件直接求解，广义超静定弯曲可以由叠加法求解。

The elastic wave scattering of a cylinder with inhomogeneous interface properties is studied by use of wave function expansion method.

该文研究了这一问题，通过沿周向的离散化将弹性波散射的边界条件归结为一个超定线性代数方程组。

The observational equations have been derived using the three methods above which are based on high-low SST and low-low SST observational data respectively, at the same time, the shortages and merits of these three methods are analyzed. 3The problem of gravity field recovery can be attributed to the solution of over determined system of equations.

本文分别以高低卫卫跟踪和低低卫卫跟踪观测数据为基础，导出了基于上述三种方法的观测方程，并分析了它们的优缺点。3重力场恢复最终归结为超定线性方程组的求解问题。

The problem of overdetermined Blind Source Separation where there are more mixtures than sources is considered.

摘要该文研究超定盲信号分离，即观测信号个数不少于源信号个数情况下的盲信号分离问题。

Least Squares Estimates of the SVD decomposition method, the valuation process can be transformed into squares overdetermined equations deal with the problem, and can be calculated singular value decomposition least squares problem.

详细说明：最小二乘估值的SVD分解计算方法，本程序可将最小二乘估值问题转化为超定方程组的问题处理，且可用奇异值分解的方法计算最小二乘问题。

Distinct from those methods, this paper's main idea is to reformulate CPs as an unconstrained minimization problem with the form of least squares of a system of overdetermined equations being equivalent to the CPs.

与这些方法不同，本文的基本思想是借助互补问题与某个超定方程组同解的事实，利用该方程组的最小二乘形式将原问题直接转化为无约束优化问题，这样不仅把问题转化为光滑优化问题，而且避免了引入光滑参数导致的不便。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

For signals that exhibit a weak or moderate long-term persistence,an OIVPM-MDL structure identification method is proposed based on overdetermined instrumental variable product moment and minimum description length criteria,and for signals with a strong long-term correlation between samples a combinative approach of inverse fractional filtering and the OIVPM-MDL method is also described.

本文研究了滤波分形差分高斯噪声过程的结构辨识问题，针对存在较弱和适中的长期间相关的信号，提出了一种基于超定辅助变量乘积矩和最小描述长度准则的OIVPM－MDL结构辨识方法；针对存在强长期间相关的过程，提出了分形反滤波与OIVPM－MDL的组合定阶方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。