平移

At first, some properties in the sampling subspace are classified. Then, that the subspace spanned by the translation of a function is also a subspace is proved in the shift invariant subspace.

首先通过Zak变换刻画了抽样空间的一些性质，然后证明了在一个平移不变的抽样空间中，由其中任一个函数的整平移所张成的子空间也是抽样空间。

After the paralysis patient is translated to the leftwards overturn unit or the rightwards overturn unit, he may be turned over leftwards or rightwards easily by one person.

本发明通过平移装置将瘫痪病人平移至左侧位翻身装置上面，让瘫痪病人向左翻身，反之则向右翻身。本发明只需一人即可将瘫痪病人轻松翻身，可大为减少瘫痪病人患褥疮的可能性。

Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

首先，根据微分几何中的基本知识，得到了该种度量形式下的平移曲面的第一、第二基本形式以及高斯曲率和平均曲率；然后，主要利用高斯曲率和平均曲率之间的线性关系和平方关系，得到了这类平移曲面的分类定理。

Singular integral equations with complex translations on smooth closed curve are discussed if equations satisfy regularity condition. And the solutions are obtained by the method of regularization.

在正则型的假设下，讨论了封闭曲线带复平移的奇异积分方程，并利用正则化方法得到方程解的表达式，所得结论补充了带平移的奇异积分方程的理论。

A new metric form is chosen to study the Weingarten translation surfaces which are translating in the two null directions in a pseudo orthogonal frame.

在伪正交标架下，选取一种新的度量形式，对沿两个类光方向平移的平移Weingarten曲而进行了研究。

Based on Huygens principle,the translation of transmission light relative to incident light is analyzed in theory as the incident light parallels to the normal Nicol prism's long side,according to the propagation characteristics of e light in crystals.The beam translation of six species of improved Nicol prism are calculated.

从惠更斯原理出发，根据e光在晶体中的传播特性，从理论上详细分析了光线平行于常规尼科耳棱镜长边入射时透射光相对入射光的平移，并给出了6种改进形式尼科耳棱镜的光束平移。

The results indicate that for the same aperture Φ of the prism,Ahrens Nicol prism has the least beam translation,and Thompason inversed Nicol prism has the biggest beam translation.

结果表明：对于相同的棱镜孔径Φ，阿伦斯尼科耳棱镜产生的光束平移量最小，而汤普逊倒尼科耳棱镜产生的光束平移量最大。

After understanding the principle and related algorithm of parallel ray projection, I proposed Project-shift algorithm, that based on two steps: making a projection model and shifting other images.

在了解平行光投影性质及相关算法的基础上，利用这些特性，提出投影-平移最大密度投影算法，该方案主要通过建立投影模板和对每层图像的平移处理来完成。

Second, the author proves the transformation of parallel translation can make discrete data more smooth, so can revise prediction error.

其次，从实用的角度应用了一种平移技巧，并证明了这种平移变换确实可以提高离散数据的"光滑性"，从而提高预报精度。

If P is a convex lattice polygon, and its pair-wise disjoint family of translates are also lattice polygons, whose union contains every lattice point, it is called a TLP .

若P为凸格点多边形，其内部边界不交平移覆盖平面格点集，则称之为可平移格点多边形TLP。记顶点数为v的TLP的内格点数的下确界为i ，得出i(5)=i(6)=1，i(7)=i(8)=4。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。