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Thermal expansion is one of the important properties of minerals, and thermal expansion coefficient is an important thermodynamic parameter.

热膨胀是矿物材料的重要物理性质，热膨胀系数是重要的热力学参数之一。

Now, there are many aspect that is one of factor space, such as, the state space of modern control theory, feature space and parameter space in model identify.

现代控制论中的状态空间，模式识别中的特征空间和参数空间，现代物理中的相空间等都是因素空间的特殊情形。

In the first part of the paper, we construct a family of 1 parameter cubic algebraic curves interpolating four given points and two tangent lines at the endpoints, and one can manipulate the shape of cubic algebraic curves by controlling the points or the tangent line directly.

该文提出的代数曲线的结构有两种，一种是插值平面上四点及两端点切线的三次代数曲线；另一种是插值两端点、两切线及两曲率的三次代数曲线。

First of all, this paper introduces the whole design project and interrelated knowledge about Non-destructive detection, ultrasonic detection, and Phased-Array ultrasonic detection Then the paper depicts the principle of Phased-Array focus and abstracts a set of math model and feasible arithmetic on the base of the real parameter of the system. Put forward several problems that exist during the course of system development and program. Introduce some measures of distinguish that are often used in non-destructive detecting and echo wave crest. Then I depict one of the measures in detail that used in the course of non-destructive detection, which is the way of distinguishing whether defects exist or not. Then provide part core program to realize it. This paper also provides main flow chart through analyzing how main control program controls different parts to make the whole system more effective.

然后在文中以较大的篇幅，描述了相控阵聚焦的原理，并根据该系统的实际参数，抽象出一套数学模型和可行的算法，在此基础上提出了在系统开发过程及编程实现过程中存在的一些问题；介绍了在无损检测中缺陷的分类和对回波峰常用的识别方法，详述了系统开发过程中使用的其中一种识别方法，即判别是否存在缺陷的算法，并给出实现之的部分核心程序；详述主控程序如何控制各部分并协调各相关软件的工作，使整个系统发挥最高效能，并给出主要设计框图和程序。

In order to preserve more details while erasing mixed noise, a new algorithm based on the structure of modified trimmed mean filter was proposed. Characters of the new one are: 1 replaces the median filter with center weighted median which shows better performance in preserving details; 2 uses the filtering result to estimate the deviation of Gaussian noise. The estimating result is used to change the filter parameter, so the new algorithm is robust.

为了在滤除退化图像中混合噪声的同时能更好地保护图像的细节，文中提出了基于改进均值滤波结构的新算法，其特点为： 1）用中心加权中值滤波算法替代MTM 方法中的中值滤波算法以更好地保护细节； 2）提出了一种直接利用滤波结果来估计混合噪声中高斯噪声方差的方法，估计的结果被用于滤波器系数的调整，使得新算法有很好的鲁棒性。

In this paper, the finite point method is used to obtain numerical solutions of one-dimensional and two-dimensional inverse heat conduction problems with a source parameter, and the corresponding discrete equations are obtained.

本文利用无网格有限点法求带有源参数的一维和二维热传导反问题，推导了相应的离散方程。

On Image-Collecting, trapezoidal distortion is one of the most common distortion. We present a rectification method for it. In the case of knowing the focal distance and the size of CCD, the only parameter needed to know to restore the image is the angle of the camera axis with the ground.

摘要图像采集中的梯形失真是工程中最常见的失真之一，对此本文提出一种校正方法，在已知摄像机的镜头焦距和CCD大小的情况下，仅需要知道摄像机中轴线与地面的倾角一个参数，不需要控制点，就可以恢复原始图像。

In this paper, the performance of SVM based on Fourier kernel is studied which aims at the regression in signal processing questions, and the influence of parameter q on performance of SVM is analyzed. A conclusion is drew that the integral of Fourier kernel in one period is a constant and the concept of equivalent kernel function width is proposed.

本文针对信号处理中的回归问题，研究了基于傅立叶核函数支持向量机的性能，并分析了参数q对其性能的影响；根据推导得出傅立叶核函数在单个周期内积分为常数的结论，并提出了等效核宽度的概念；最后的仿真结果证实了，在信号处理领域，采用傅立叶核函数的支持向量机比采用径向基核函数的有着更好的性能。

The procedure estimating the regularization parameter is the same as that the adaptive Marquardt algorithm used. The Frechet derivative is directly derived from the forward methods: SAM and FEM. With the theory of SAM and Zhang′s geometric factor, the relationship between the Frechet derivative and the geometric factor is established, at the same time, one useful corollary is given, i.

选取正则化因子时，沿用自适应的Marquardt算法中阻尼因子的选取计算方法；计算Frechet导数时，根据逐次逼近解法和张氏几何因子理论，推导出了Frechet导数与张氏几何因子的关系，得出了Frechet导数为张氏一阶积分几何因子的结论。

The first level of verification used the characteristic parameter technique, and also proposed an on-line signature verification algorithm based on the one dimensional Gauss probability distribution model.

以前面已经分割形成的曲线段为动态匹配对象，可以实现参考模板与测试签名之间曲线段的"一对一"或者"一对多"的动态匹配。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。