张量

Compare the result of this figure with that of Fig. 3. Even though that the Coons patch had many more data points as well as control points, the surface is not as good as the tensor product surface.

拿这个图形的结果和Fig.3对比一下，尽管昆氏曲面包含更多的数据点和控制点，但它还是比不上张量乘积曲面。

Wavelet transform is done in image space directly. The multiplication number of the method is rough 25% less than the conventional implementation based on 1-D tensor product, so the memory usage is also reduced.

该方法进行小波变换时直接在图像空间进行2维分解，其乘法运算次数比传统的基于1维张量积的2维提升整数小波变换减少约25％，从而也减少了存储空间。

According to project operator concept, the many-knot spline and Hermite many-knot spline surfaces, which have the schemes of Boolean sum and Tensor product, are set up in this paper.

本文根据投影算子的概念，构造了多结点样条、多结点Hermite样条的布尔和曲面和张量积曲面。

Character 2 discusses seismic moment tensor representation of explosions in ellipsoidal cavities and their far-field radiation patterns.

第二章讨论了一般形状的椭球腔中的爆炸的地震矩张量表示及其在远场的地震波辐射图案。

By this approach the seismic moment tensor representation for explosions in ellipsoidal cavities and their seismic radiation patterns in the far field is obtained analytically.

应用这一方法作者首次求出了一般形状的椭球腔中的爆炸的地震矩张量的解析表达式及其远场地震波辐射图案。

The main purpose of the present paper is to obtain the relation between the abstract presentation of Euclidean objectivity and its component representation with respect to the general curvilinear coordinate systems with a relative rigid motion under a fixed frame of reference, so that the tensor representation of Euclidean objective quantity has its component form.

建立了欧几里德标架无关性的一般表述与某一参考标架\phi 下作相对刚体运动的一般曲线坐标、分量表述之间的关系，从而使欧几里德标架无关性的张量表述有相应的分量表述形式。

There are two kinds of models about the higher-order correlation networks. In the two-state model, the higher-order Hebbian algorithm is usually used. For this Hebbian algorithm can have better associative memory only to orthogonal or near orthogonal prototype patterns, another learning rule, higher-order projection algorithm, is proposed in tensor representation in this dissertation.

关于高阶关联网络有两种模型，即两状态离散时间模型和模拟状态连续时间模型，在两状态离散时间高阶关联网络中最常用的是高阶Hebb规则，这种规则对于正交或近似正交的原型模式才具有比较好的联想记忆性能，因而本文用张量表示法给出了另外一种学习规则—高阶投影规则。

By decomposing the tensor representation of Uqslinto the direct sum of the ir-reducible representations of it,we can get the Schur-Weyl duality between Uqsland Hwhich is announced in[Jim86a]without proof where q is not a root ofunit.

通过将Uqsl的张量表示分解成它的不可约表示的直和，我们得到当q不是单位根时，Uqsl和H间的Schur-Weyl对偶。

This dissertation discusses four problems that have relations with these topics. These problems are, i seismic moment tensor representation for explosions in ellipsoidal cavities and their seismic radiation patterns in the farfield; ii seismic waves from point sources in transversely isotropic media; iii yield-estimation by mb or mb for Chinese underground nuclear explosions and, iv simultaneously inversion for source parameters of underground nuclear explosions and parameters of apparent Lg Q for paths from source to stations.

本文讨论与此课题有关的椭球腔中的爆炸的地震矩张量表示及地震波辐射图案，各向异性介质中的点源激发的弹性波，由Lg波震级或Lg尾波震级估算地下核爆炸当量，由Lg波位移谱反演地下核爆炸震源参数及相关路径的Lg波视衰减参数等四个方面的问题。

Tensor of the dual space and in the "Linear Algebra"(version 2) At the same time to explain, which is "Linear Algebra"(version 2) is a major feature.

对偶空间和张量在《线性代数》(第2版)同时讲解，这也是《线性代数》(第2版)的一大特色。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。