可以解的

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

Fourth precision solution can be derived from two grid sets solution with a second precision central difference scheme by Richardson extrapolation. It reduces the amount of calculation. Uncertainty is determined from the discretization error analysis. A finer grid calculation is made to validate the extrapolation scheme.

对于2阶精度中心差分格式的2套网格数值解，用Richardson外推法可以得到4阶精度的解，其工作量比直接求解4阶离散方程的工作量减少许多；对于计算中的数值不确定度，用该方法分析了离散误差，并用逐次加密网格的方法探讨了外推法的合理性。

The problems considered can be very facilely translated into Riemann-Hilbert problem by application of the approaches which are resolved by usual Muskhelishvili's methods, and their closed solutions are acquired rather straightforward.

应用该法可以很容易地将所讨论的问题转化为Riemann-Hilbert问题，而后一问题可以用通常的Muskhel-ishvili方法进行求解，并且可以相当简单地得到问题的闭合解。

The remaining chapters of this thesis can be divided into two parts: thefirst part includes chapter 2 and 3, where studies about non-adiabaticphotodissociation of 〓 are discussed. Also presented is our theoreticalinvestigation on control of this process with pulsed laser fields; The secondpart of this thesis consists in chapter 4 and 5, where our application of quantumsymplectic methods to the full-dimensional unimolecular dissociation offormyl radical, HCO, is presented, results of ab initio calculation of the dipolemoment surface of HCO are also given.

论文余下的章节可以分成两个部分：第一部分包括第二和第三章，主要讨论对碘甲烷非绝热光解过程的研究，以及利用脉冲激光对这一过程进行控制的理论探讨；第二部分包括第四和第五章，借助量子辛算法研究了HCO三维解离过程中的一些动力学行为，并用从头算方法计算了HCO的偶极矩面。

The Schroedinger Equation with unitary evolution equations is a matrix differential equations, so Wei-Norman decomposition can be used for solving the multi-level quantum systems.

Wei-Norman分解对于分析矩阵微分方程的解是比较成熟的理论，含有幺正演化矩阵的薛定谔方程是矩阵微分方程，所以可以利用Wei-Norman分解来分析求出多能级量子系统的解。

The result "If X is a solution of a categorial equation, then there exists an unique essential solution Y such thatY X"makes it possible that the essential catgories of a word could generate all possible syntactic categories by some deductive rules.

定理&对于范畴方程的任意一个解x，都存在唯一的本质解Y使得Y x&使得我们可以通过一定的演绎规则对词w的本质范畴作扩张以得到w的所有句法范畴。

Furthermore, its optimal approximation to a given matrix X can be obtained by finding the least-norm centrosymmetric solution of a new matrix equation AXB+CXD=F.

对任意给定的矩阵Xo，矩阵方程AXB+CXD=F的最佳逼近中心对称解可以通过迭代求解新的矩阵方程AXB+CXD=F的极小范数中心对称解而得到。

The recent progress in sludge decrement technology was introduced, including the uncoupler addition process based on the theory of uncoupling the metabolism of bacteria, the oxic-settling-anaerobic process, and the returning lysis process based on the theory of cryptic growth.

介绍了污泥减量工艺的新进展，如基于代谢解耦联理论的投加解耦联剂工艺、好氧—沉淀—厌氧工艺以及基于隐性生长理论的回流溶胞工艺，这些工艺可以实现污泥的源减量，将来可能会得到广泛应用。

Studies on the effect of eluting time,temperature and ultrasonic on elution rate are carried out and X-ray fluorescence are used in analysis.

针对硫酸溶液可以有效洗脱树脂上的氰化物和锌，但不能洗脱铜的工艺问题，选择氨水溶液对酸洗后201×7树脂上的铜进行解吸；试验研究了解吸过程的时间、温度以及超声波作用等条件对解吸率的影响，并进行了X射线荧光分析。

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。