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This paper mainly discusses a kind of indefinite stochastic linear quadratic optimal control problem with incomplete data, which can be described as: Minimize subject to Here Q, F are indefinite symmetric matrices,R is a positive semidefinite symmetric matrix.

本文主要讨论的是一类部分信息下的不定随机LQ问题，其形式如下：这里Q，F为不定对称矩阵，R为非负对称矩阵。

Therefore,a series studies of ice-pier vibration are performed from different aspects in this paper.The main work of this his thesis is summarized as follows:(1) Ice response spectra is proposed based on the idea of a seismic response spectra analysis of str .. uctures.Firstly,ice response spectra on the basis of power spectra density function is established;Secondly,based on the assumption of quadratic parabolic interpolation method,the nonlinear interpolation analysis method of ice response spectra is studied from both theoretical and practical points of view,and the successive computation formulas including ice displacement,velocity and acceleration response spectrum are deduced by Duhamel integral.Furthermore,to analyze the effectivity and applicability of the method, the real temporal curves of ice pressure are used to be studied.The results show that the presented method is more convenient and accurate to study the structural response induced by ice force,also it can be effectively applied in the design of ice resistance.

鉴于此，本文针对冰激桥墩结构振动问题从不同方面展开了一系列与之相关的研究，主要研究内容如下：(1)根据结构抗震反应分析思想提出了冰振反应谱，首先建立了基于功率谱密度函数的冰振反应谱；其次借鉴地震反应谱内插法的思想从理论和实际观点出发，假定在等距离微小时间间隔内冰荷载按二次抛物线规律变化，由Duhamel积分推导出冰振位移、速度以及加速度反应谱的一系列连锁公式，建立了基于非线性内插法的冰振反应谱，并利用实际冰压力时程曲线进行了冰振反应谱数值分析，为以后冰激结构振动的研究提供一种方便、简捷、精确的分析方法，也能够将其有效地应用到结构的抗冰计算中。

The proposed algorithm does not base on the primal quadratic programming problem of SVM,but a complementarity problem.

该算法不是基于支持向量机最优化问题本身，而是一个与之等价的互补问题。

For example, quadratic curve and quadric surface are used as primitive element in most modeling/CAD system. The implicit formulae for computing the intrinsic geometric invariant??

随着对参数曲线曲面研究的深入，早在80年代初苏步青教授等就将几何不变量的研究引入并应用到参数曲线、曲面的研究中，取得了重要的成果［1？

Since the gradient projection method was proposed, it has been paid much attention to because it has the following three advantages: 1 its structure is very simple, 2 it is easily operated, 3 its each computional step is iterated explictly and doesn't need to solve complex linear programming or quadratic programming problems.

梯度投影方法自提出以来，由于它简单易行，计算的每一步都是显式迭代，而不必去解复杂的线性规划或二次规划问题，因此颇为人们注意。

The quantum quadratic residue codes are also extended in a nice way, most of which allow, the projective unimodular group, to act.

构造出量子二次剩余码的扩展码，与经典情形类似，对几乎所有的，量子二次剩余码的扩展码都以射影幺模群为自同构子群。

Projective transformation between two rational quadratic Bzier curves is determined by pairs of corresponding control vertices and weights.

对于有理二次Bzier 曲线，两条有理二次Bzier 曲线间的射影变换由它们对应的控制顶点和权因子所确定。

It can be proved that this type of method has quadratic termination property without exact line search.

该方法可以视为特殊的迭代子空间方法，总体收敛性得到保证。

Quadratic generator is a kind of widely used pseudorandom number generator.

二次指数发生器是一种广泛使用的伪随机数发生器。

By using the model of quadratic common rotation established between planting density, N, P, K and synthetic value of wood chemical components of Eucalyptus grandis Pulpwood, mutual-efficiency and optimization choice were done.

利用造林密度、氮、磷、钾肥与巨桉纸浆原料林木材化学成分综合分之间的通用二次旋转效应模型，进行了因素的交互效应分析以及最优化选择。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。