张量

The patient showed atrophy in frontal and temporal lobe on regular MRI, significantly reduced amount of Nacetyl aspartic acid、cholineand creatinecompared with contralateral on MRS , remarkably decreased blood flow in the left temporal polar and front part of fontal lobe compared with contralateral on PWI. There were decreased association fibers between Broca and other regions meanwhile no association fibers were found between triangular area and wernicke region on DTI. The fibers projecting to opercular part of frontal lobe via archiform fibers were lessened. The mean FA and fibers of Broca and Wernick regions were less than that of the healthy subjects.

常规MRI显示左侧额叶及颞叶萎缩；磁共振波谱分析显示左侧颞叶和额叶N乙酰天门冬氨酸、胆碱、肌酸含量较对侧明显减低；磁共振灌注成像显示左侧颞极及额前部的血流量较对侧减低；弥散张量成像显示左Broca区与其他脑区间纤维联系减少，三角区与Wernicke区无纤维联络，左侧Wernicke区通过弓状纤维到达额叶岛盖部的纤维减少，Broca及Wernicke区平均FA及纤维束较正常人减少。

Image fusion method based on a new class of wavelet non-separable wavelet with compactly supported, symmetric, orthogonal and dilation matrix is presented.

提出了基于一类新的小波具有紧支撑、对称性和正交性、伸缩矩阵为(20 02)的非张量积小波的图像融合新方法。

The practical employment of multidimensional wavelet is only limited to tensor product wavelet. To construct a tensor product orthonormal wavelet basis in L〓, 2〓-1 different mother wavelets are used, and thus storing and computing wavelet basis of large dimension are of prohibitive cost.

根据Meyer的小波基存在性定理，利用张量积方法构造L〓的一个规范正交小波基，需要2〓-1个不同的函数，存储和计算方面的开销太大，在实时应用方面尚有很大的局限性。

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

The energy-momentum tensor of gravitational field is a very important physical quantity.

引力场的能动张量是引力理论中一个极为重要的物理量。

It depends on the increment of invariants of the stress, and therefore is independent of the rotation of the principal axes of stress.

使用张量函数表示定理，给出了内变量演化方程的一般表达式，它取决于应力不变量的增量，因而与主轴旋转无关。

It is shown that the atmosphere turbulence slows the downtrend of the twist parameter,gives rise the peak value of wave front curvature in the principal direction,degrades beam′s coherence and increases the spreading of beams.

根据有扭曲的各向导性高斯-谢尔模型光束在大气湍流中传播距离z处的部分相干复曲率张量给出了光束参量的表达式和详细的数值计算结果。

We studied the properties of the projective cone in tensor vector space defined by Barker.

给出了张量空间中射影锥可分解的充分必要条件，并由此可得出有限维实空间中真正锥可分解的已有结论。

In order to derive the qq-qq interaction, we generalize the Fierz transformation from SU(N ≤4) scalar and pseudo scalar to SU tensor and point out that the qq — qq interaction may be useful in an extended quark potential model calculation.

为了得到三体夸克-夸克对之间的相互作用，我们将著名的Fierz变换从SU(N＜4)的标量和赝标量推广到任意的SU张量。

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。