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In order to analyse the structural reliability by stochastic finite element method rapidly and efficiently, a method combined with finite element method and gradient optimum algorithm based on ANSYS is presented when referring to the geometric interpretation of structural reliability index.

为快速、高效地进行基于随机有限元法的结构可靠度分析，从结构可靠性指标的几何意义出发，提出了在ANSYS平台上采用有限元法和梯度优化算法相结合的方法进行可靠度分析的构想，对ANSYS进行二次开发实现了该方法。

Geometric interpretation,...

几何级数解释，。。。

The first part of the paper focuses on Saddlepoint Programming . It explicates SP's origin background, classification and relationship with other mathematical programing . The optimal conditions of SP has been proven and its geometric interpretation has been made.

文中首先讨论鞍点规划原理，阐明了这种规划产生的工程背景、分类、数学表述及其与一般数学规划的关系；证明了鞍点规划最优性条件的有关定理，并给出了几何解释。

In this section an intuitive geometric interpretation of the standard support vector machine for classification of both linearly separable and inseparable data are developed, and a rigorous derivation of the concepts behind the geometry are provided.

在这一节中，给出了线性可分离问题和线性不可分离情况标准支持向量机分类的直观解释，并在几何上给出严格的推导。

The main contributions are two-fold: Firstly, some theoretical analyses are carried out on trinocular rectification, including the relationship among the three rectified images and their three fundamental matrices, and an geometric interpretation of the 6 free parameters involved in the rectification process.

主要讨论两方面的工作。首先，对三视校正问题进行理论分析，给出了校正后图像的基本矩阵与其约束条件之间的关系，讨论了三视校正过程中的6个自由参数的几何含义。

To meet the need of image interpretation and object geometric measuring, this paper discusses the methods to remove the noise, mosaic line and different color in DMC mini-satellite product, which will improve DMC mini\|satellite image quality.

为了满足图像解译和目标几何量测的要求，研究DMC小卫星数据产品中噪声、拼接缝以及色调不均匀去除的方法，以提高DMC小卫星图像质量。

The signal-phase-matching principle of three and multi sensors are proposed in this dissertation. By using these principles, the formulae of estimated spatial signal are derived. The physical meaning and the geometric interpretation of these principles are given. The performances of estimated signal are analyzed when the phase of expected signal and the amplitude of noise are fluctuant.

提出了三元阵及多元阵的信号相位匹配原理，推导了利用信号相位匹配原理的空间信号估计公式，给出了信号相位匹配原理的物理意义及几何解释，分析了信号相位和噪声幅度起伏对信号估计性能的影响。

Surfaces of Revolution in E_2~4 Space;2. The subdivision rules based on the geometric interpretation of the tensor product scheme, and it can reproduce the surfaces of revolution .

其细分规则基于张量积曲面细分模式的几何意义，不仅可以生成旋转曲面等特殊曲面，而且可以根据参数来控制细分曲面的形状。

The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms.

这些条文所涉及的主题是线性方程组的几何解释，在两个和三个有限对称群的分类方面，一个矩阵及其应用，以解决一阶常系数线性差分方程，系统指数赫尔维茨定理在二次形式组成。

By the best approximation and the geometric interpretation of signal vectors in adaptive filters, the input noise variance is obtained with the information obtained from the traditional LMS algorithm. Then, based on γ-LMS algorithm, it can iteratively eliminate the input noise effects to obtain the bias in the Wiener solution and the true system coefficients.

根据自适应滤波器的最佳逼近原理和各信号矢量的几何关系，利用传统LMS算法获得的信息来估计输入噪声的功率，再通过γ-LMS算法在迭代过程中逐步修正维纳解，去除输入噪声的影响从而得到系统参数的真实估计。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。