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In order to simplify the subsequent analysis,the obtained independent components can be divided into two parts containing dominant part and excluded part according to the concept of vector norm,and two types of statistics,I2 and SPE that reflect the system's variety and error,are respectively calculated whose confidence bounds need to be identified.

独立分量分析在过程监控、故障检测方面的应用则刚刚起步,通常是把分离得到的独立分量直接作为某种特征的反映[4],或者对混合系数进行多次计算、对比,直接作为检测故障的指标,然后结合支持向量机方法诊断故障[5]。

The pair-wise error probability analysis and simulation results show that,under the condition of high SNR,by selecting the set of antennas that observe the largest instantaneous Frobenius-2 norm of received signal vector,the same diversity gain can be achieved as the one obtained by using all the receive antennas.

成对错误概率分析和仿真结果表明:在高信噪比情况下,选择有最大范数的接收天线,系统能实现和使用全部接收天线相同的分集增益。

Meanwhile, the neural network algorithm and the multiple regression analysis method were utilized to estimate dry weight by parameters obtained from six time points such as diastolic blood pressure, ratios of bio-impendence vector norm and weight.

利用类神经数学演算法及多元回归分析,以各测量时间点之舒张压、生物阻抗向量长度比和体重为自变数做乾体重的估测。

Then the necessary conditions of optimal control problem is obtained by the conception of normal cone.

由法锥概念得到了控制问题的最优必要条件。

The existence and uniqueness of solution for population dynamics and the corresponding maximum principle are obtained by using Banach's fixed point theorem and the concept of normal cone.

第二节和第三节分别对具有年龄结构的竞争两种群和n种群扩散系统的最优收获问题进行了研究,获得了相应的极大值原理,以及两种群竞争系统最优控制问题解的存在唯一性。

The third chapter is about the optimal control for a class of age-dependent competitive population dynamics with diffusion, the continuity properties of the system solution in terms of the control variable is certificated, the Normal cone theory is applied and the necessary conditions of optimal control problem is obtained.

第三章研究了一类年龄相关的具有空间扩散的竞争种群系统最优控制问题,证明了最优解关于控制变量的连续依赖性,应用法锥理论,得到了最优解的必要条件。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中,主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识;在第二章中,我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题,在弱连续的条件下,得到了不动点的存在唯一性和迭代收敛性,同时,给出了它们的一些应用;在第三章中,我们建立了拟弱连续减算子的正不动点定理,并证明了算子C=A+B,C=D-A的正不动点存在唯一性定理;在第四章中,我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

Firstly, we normalized the basic voxel by constructing its minimum oriented bounding box. Secondly, we constructed its D2 shape distribution curve, and computed the values of EMD(earth mover's distance) compared with the corresponding curves of the normal cone and cylinder respectively, and the corresponding top diameters. Finally, we compared the top diameters and obtained the parameters by the bounding box.

首先建立基本体素的MOBB,对体素进行标准化;然后生成其D2形状分布曲线,计算此曲线分别与标准圆锥体形状分布曲线、标准圆柱体形状分布曲线的EMD(earth mover's distance)值以及相应的上底直径;最后通过比较两个上底直径的大小来判断此体素是否为圆台体,并由包围盒的边长给出圆台体的参数。

According to the theoretical tooth surface model, the measuring grids schema is accomplished on the rotary projection of tooth surface, and coordinates and the normal of the grids are obtained.

根据建立的理论验面模型,在齿面的旋转投影面上进行测量网格规划,得到网格节点的坐标和法线方向。

Then, an algorithm of mesh smoothingcan be obtained by moving every vertex along the direction determined by themean curvature normal with speed defined by the new predictor.

并根据该预测子和平均曲率法向,给出了三角网格的双边滤波光滑算法。

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The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

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