查询词典 contraction of tensor

In the process of degree reduction for tensor product Bézier surfaces, we discuss not only the case with constraints of corners interpolations but also that without constraints of corners interpolations.

在张量积Bézier曲面的降阶中，分别考虑了不带角点插值条件和具有角点高阶插值条件的情形。

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。

First of all, the author gives a method for merging two Bezier surfaces with the construction of transition band, after discussing the G1,G2 continuous conditions of two Bezier tensor product surfaces and their geometric properties.

本文首先考虑参数曲面片上几何连续的特性和在几何造型中的应用。它相应地赋予设计者更多的自由度和灵活的调整手段。

Based on the theory of B spline,this paper discusses the sufficient and necessary conditions of G 1 continuity between two patches of bi cubic tensor product non uniform B spline surfaces in a special type,and gives a kind of sufficient condition of G 1 continuity so as to satisfy the need of application.

依据有关B样条理论，研究了一种特定类型的双三次张量积非均匀B样条曲面间G1光滑拼接的充要条件，且给出了此种类型的两张双三次张量积非均匀B样条曲面间G1光滑拼接的一个充分条件，以满足实际应用的需

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。

The Master of Science degree program in Economics features a curriculum that is flexibl...

在经济学理学硕士学位的课程计划的特点是灵活而全面的方法，在理论和应用课程培训工作。

This module is used for constructing and visualizing 3D models.

该模块是用于建设和可视化的三维模型。