求值

If b is the total area of the shaded parts, find the value of b .

b 是阴影部份之面积，求 b 的值。

An approach to image interpolation based on local fractal similarity transformation suitablefor complex images in natural scenes is described. Similarity transformation of rectangular image blocks are added and the extremem method in the function with two variables is used to obtain the optical similarity transformation.

提出了适用于复杂自然景物图像的基于局部分形自相似变换的图像插值方法，在常用的局部分形自相似变换基础上增加了矩形图像块的自相似变换，并采用二元函数的极值方法求最佳相似变换。

In this method the transfer functions, which are the response of the temperature and thermal stress in the key parts of the special structures caused by the unit temperature load with the special loading model, are computed firstly using the detailed finite element analysis. Then both the thermal and stress responses and their sensitivities to any complex change of temperature can be obtained by the simple cirro-product integral.

该方法的基本思想是：基于一定的结构和热载荷模式，将事先通过详细有限元分析求出的单位突加热边界条件变化引起的结构控制区的温度和热应力响应作为传递函数，然后进行简单的卷积积分运算，就可以得到任意热载荷幅值变化历史所对应的温度和热应力，进而也可快速进行灵敏度分析。

This method can find the kernel spaces of different fault distribution matrices through singular value decomposition and use it to remove the influence from residual of specified faults; a fault isolation method is given in the end.

将不同故障分布矩阵进行奇异值分解求取其核空间在分别进行故障影响消除，最后给出了故障诊断分离方法。

The left singular vector of the projection has been tracked by the projection approximation subspace tracking algorithm. Then the modal parameters are obtained by least square method. At last an experiment is made using a cantilever beam to prove the efficiency and stability of the method by changing the frequency band of the exciting signal.

通过子空间跟踪算法，不断跟踪计算投影的左奇异值向量，再利用最小二乘法求出系统的模态参数，最后用悬臂梁作为实验模型，通过不断改变系统激励的频带范围，验证方法的有效性及稳定性。

Based on Snell's law, an approach for calculation firstarrival travel times in a transverse isotropic media is developed, of which result can be used as the imaging condition of reverse time migration.

从snell定理出发，采用插值法求取网格空间中各点的直达波旅行时，以此作为弹性波逆时偏移的成像条件，实现多波多分量资料的逆时偏移。

This source is used C language for the expression of the value of small programs.

此源码是用C++语言编写的求表达式的值小程序。

What's more, therelationship is built up between the joint space of robot and theworld space.

基于几何投影原理推导出相应的逆运动学模型，求出了各个关节的角度值，建立了机器人关节空间与世界空间的映射关系。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。