变换

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

在n-1维超曲面的反图变换中，示明反图变换为保角表示法，曲率线系的反影仍为反超曲面的曲率线系，反超曲面的主曲率，全曲率与平均曲率为原超曲面的主曲率的函数等。 3。最后导出公式(1)在四维空间与通常空间之特殊形式

Uncertain singular systems are transformed into the form of restricted equivalence by a nonsingular linear transformation. By the method of Lyapunov function, a new terminal sliding mode control strategy based on the form of restricted equivalence is proposed for the first time, and the hypersurface of a special terminal sliding mode is given. A terminal sliding mode controller is designed correspondingly such that the motion of sliding mode can be guaranteed and the systems state variables can converge to the equilibrium point in a finite time.

通过非奇异线性变换把不确定奇异系统变换成受限等价形式，利用Lyapunov函数方法，首次提出了一种新的Terminal滑模控制策略，给出了特殊的Terminal滑模超曲面，设计了相应的滑模控制器，实现了滑模运动，保证了系统状态变量在有限时间内收敛到平衡点。

This paper presented a robust image watermarking algorithm utilizing the stability of SIFT points and the features of DWT.

利用数字图像SIFT(scale invariant feature transform)特征的稳定性和小波变换的特性，提出了一种抗仿射变换和剪切的鲁棒水印算法。

An immersible transducer is a hermetically sealed stainless steel container which contains a number of transducer elements. These transducers offer the major

浸水式变换器使用一个气密不锈钢容器，里面含有大量变换器元件。

Though several leak detecting methods are available, they are not ideal inapplication scope, including responses speed and accuracy of leak localization. In thisdissertation, according to the conditions of pipeline transportation in our country,research is carried out on crude oil transported pipelines leak detection and locationtheory and the study on its supervisory system is given.

本文结合我国管道输送的实际情况，针对原油管道泄漏检测技术及其运行监测系统进行了深入的研究，主要进行了以下几个方面的工作：将小波变换技术引入到负压波特征拐点的捕捉，利用连续小波变换时间-尺度特性检测信号的奇异点，能够有效的检测出强噪声背景下的信号边沿，此外，还提出了负压波法泄漏检测中误报警消除的多种方法。

In this paper, an increasing sequence of structure element was used to detect the best response to each pixel of image and the output of the response pixel would be the most sensitive structure element by using this improved Top-Hat transform.

通过定义一个递增的结构元素序列对图像进行Top-Hat变换，在每一个像素处用不同的结构元素作Top-Hat变换，以寻找对该像素最敏感的结构元素，并把此结构元素对图像的处理结果作为该像素处最后的输出值。

Different from conventional MLLR, the regression classes of TMLLR are generated dynamically based on increment of target function and a multi-layer feedback mechanism.

这种算法基於目標驱动的原则，引入反馈机制，根据目標函数似然概率的增加来动態决定MLLR变换的变换类，大大提高了系统的识别率。

Also the conformal transformation with complex variable theory can give an image of section of line to a circle and it could meet the condition to set mirror image currents before infinite half plane region.

磁场求解的场域满足磁势的拉普拉斯方程，可以通过复变函数的保角变换方法把圆环域变换为矩形域并延拓为带状域，结合平面镜象电流方法求解。

But , when we changeour trainofthought , we can find that sometimes using mathematical Analysis is a better solution to the linear algebraic problems.In thispaper, use the propertyofcontinuous function andimproper integralof infinite interval and to solve some matrix and quadratic form problems.Algebraic ideas andmethodstosolvemathematical analysisproblems are indicated by several specific examples. Close contactof differentmathematical analysis fields is shown.

该文探讨运用数学分析的有关知识（如：函数连续性、无穷区间的广义积分）和方法解决高等代数中的某些复杂、繁琐的问题；通过具体的实例，阐述高等代数的思想和方法在解决数学分析问题中的作用，揭示不同的数学领域之间的密切联系，例如：二次型与正交变换是代数学的基本内容，其用途十分广泛，而重积分的计算往往存在技术性的困难，若利用"二次型"与"正交变换"的有关理论去解决某些重积分的计算问题是颇有功效的。

The analytic expressions for the displacement components and stresses at any point of an infinite micropolar orthotropic elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained.

在无限大微极正交各向异性弹性介质上覆盖弹性介质的弹性半空间的任意点上，作用着任意方向倾斜的移动荷载，给出了位移分量和应力的解析表达式·假设倾斜荷载是法向荷载和切向荷载的线性组合·利用Fourier变换采用特征值方法，并利用数值技术反演了Fourier变换·给出了铝环氧树脂复合材料的数值结果图形

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷