查询词典 contraction of tensor

In general relativity theory, graviton is the massless tensor particle, which results in gravitation action in proportion to the energy.

在爱因斯坦引力理论下，引力子为零质量的张量粒子，它导致了粒子之间存在着正比于能量的引力作用。

Atlast,we consider the tensor product representation of quantum group Uqslandthe representation of Hecke algebra Hwhich commutes with that of Uqsl.

最后，考虑了量子群Uqsl的张量表示及其与之可换的Hecke代数H的表示。

The Hessian tensor can also be used to find corners, which are useful for feature selection and edge linking.

此外，我们亦提出了一个Multi-scale的架构来侦测切割影像曲面中的平坦区域。

In fact, the construction of the geometry structure would be ill-use of a series of qualified formula in tensor analysis and where there is perplexity about coordinate system, reference system and geometry space.

事实上，相关几何结构的构建不仅混淆了坐标系、参照系、几何空间等彼此不同的基本概念，而且，只是对张量分析中若干"条件成立"公式的滥用。

The author has proposed a new decomposition of the strain gradient tensor so as to remove the constraint on material incompressibility.

这种旨在应用于微米和亚微米的全新的理论发表于1999和2000年后，引起力学研究者的注意，期待着这种理论与试验的成功比较。

In chapter 4, the incorrectness of two results in the paper "Disk theory for tensor product of matrix" and the book "spectral theory of matrix" is shown and the cause of these mistakes is pointed out.

第四章讨论了矩阵张量积的谱分布性质，指出了"矩阵张量积的圆盘理论"一文中的两个错误，给出了反例，并分析了产生错误的原因。

Additionally, for these non-homogeneous materials, there is a relation between the material energy-momentum tensor and material coefficients under the infinitesimal translation, rotation and dilate of coordinates.

对于此种非均匀材料，物质能量-动量张量在坐标无穷小平移，转动和膨胀条件下与电磁焓中包含材料系数导数的形式有关。

In [3], Professor Wang Xian-dong discussed the evaluation modules of Loop algebras of Lie algebras with a triangular decomposition; particularly, irreducibility of the tensor product of finitely many such modules was partially determined.

在[3]中，王宪栋教授讨论了可三角分解李代数其Loop代数的赋值模；特别值得一提的是，在一定程度上确定了有限多个赋值模其张量积的不可约性。

objective to obtain the diffusion tensor maps of the normal human brain,and assess intrinstic properties of water diffusion in quantitative parameters for an anatomic analysis.methods maps of isotropic apparent diffusion coefficient and various anisotropic maps were calculated in60healthy adults from seven diffusion imagings by using single-shot echo-planar diffusion-weighted sequence.brain parenchyma anatomy was analyzed and adciso and various anisotropic index were measured.results （1）diffusion properties of different tissues and anatomic areas of normal adult human brain are different.diffusion in white matter is anisotropic;diffusion in gray matter is isotropic.

目的 获取正常人脑组织扩散张力性图像（diffusion densor imaging，dti），定量分析正常人脑组织水扩散的内在特性，进一步评价脑解剖结构。方法 60例健康正常人，应用单次激发epi-dw序列，计算出adciso图及各向异性图，分析脑实质不同区域的解剖结构，测量adciso（isotropic apparent diffusion coefficient）及各向异性指数。结果（1）脑内不同组织结构弥散特性不同，脑白质弥散表现为各向异性，而脑灰质弥散表现为各向同性。

In this paper,we use the data of JiaShi earthquake sequence which was recorded by KAS station and WUS station of the regional digital station network in XinJiang near source region. We have calculated moment tensor solutions of more than 100 Ms≥3.5 earthquakes from 2001 to 2004 by the body waveform inverse. At the same time,we compared our result with Harvard CMT result.

本文利用新疆区域数字化地震台网中近震源周围的喀什、乌什两个台记录到的伽师地震序列的波形资料，使用波形拟合反演方法分别计算了该区域2001-2004年的100余个Ms≥3.5地震的矩张量解，得到了一系列的震源参数。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！