查询词典 tensor density

In chapter 2, a new concept- property T〓 is introduced, it is proved that nest subalgebras of von Neumann algebras, finite width CSL and atomic CSL subalgebras of von Neumann algebras have property T〓. Some tensor product formulae of nest subalgebras and CSL subalgebras in von Neumann algebras are obtained. Tensor products of W〓-dynamical systems are studied. Finally, the essential commutant of tensor product of operator algebras is discussed.

第二章我们引入了性质T〓这一新概念，并证明了任一vonNeumann中的任何套子代数，有限宽度的可交换格子代数和原子可交换格子代数都具有性质T〓；得到了von Neumann代数中套子代数和可交换格子代数的张量积公式；研究了W*-动力系统的张量积问题；最后讨论了张量积代数的本性换位。

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle...

基于Stroh公式和表面阻抗张量理论，提出了研究界面滑移波动态失稳问题的一种新的方法·该方法将表面阻抗张量概念推广到复波速域，并将摩擦接触界面上的边界条件以表面阻抗张量表示·最终将边值问题化归为求解一个复多项式在单位圆内的根·以弹性半空间与刚体平面相对稳态摩擦滑移为例进行了详细的分析，导出了一个4次复特征方程并讨论了方程在单位圆内解的特性，给出了滑移界面波失稳条件的显式解析表达式

Several new magnetometric technologies have been introduced and reviewed, including airborne vector magnetometry in Australia, ground tensor magnetic gradiometer system using fluxgate magnetometers installed by USGS, airborne full tensor LTS-SQUID gradiometer developed and tested by IHPT in Germany, full-tensor airborne HTS-SQUID magnetometer designed and tested by ORNL and Tristan Technologies Inc.

评介了澳大利亚BHP比利顿矿产勘查公司和矿产发现技术公司的航空矢量磁测，美国地质调查所研制的地面张量磁梯度仪，德国耶拿物理学高技术研究所的航空全张量磁力梯度仪系统，美国橡树岭国家实验室和特瑞斯坦技术公司Tristan Technologies， Inc。

Finally, after defining an evaluation module of the corresponding Loop superalgebra (Section 4), two major results of the paper -Theorem 4.land Theorem 4.2 are proved: Theorem 4.1 reduces the irreducibility of the tensor product of finitely many evaluation modules to the irreducibility of the tensor product of finitely many irreducible modules of a nilpotent Lie superalgebra; Theorem 4.2 gives a criterion for the tensor product of such modules to be irreducible.

第4节在定义了相应的Loop超代数的赋值模之后，证明了本文的两个主要结论：定理4.1和定理4.2。定理4.1将有限多个赋值模其张量积的不可约性归结为一幂零李超代数的限多个不可约模其张量积的不可约性；定理4.2利用不可约指标给出了一幂零李超代数的限多个不可约模其张量积仍不可约的判别准则。

Complicated system ; space metric tensor ; natural base ; physical base ; non-Cartesian tensor ; Cartesian tensor ; helical-Cartesian coordinate system ; parabolic cylindrical coordinate system

复杂系统；空间度量张量；自然基物理基；笛卡儿张量；非笛卡儿；张量；螺旋线——笛卡儿坐标系；抛物柱面坐标系

With the help of the notation of the skew-symmetric tensor, the expression for the 1st order absolute and relative derivatives of a tensor was presented, and the expression for the 2nd order absolute and relative derivatives of a tensor was offered further.

由此，并借助于反对称张量，给出了张量的一阶绝对导数和相对导数之间的关系式，并又进一步给出了张量的二阶绝对导数和相对导数之间的关系。

Defined the velocity gradient tensor and showed how it can be broken down into the sum of the strain rate tensor and the rotation rate tensor.

定义速度梯度张量，并说明如何将它表示为应变速率张量与转动率张量的。

Following the constraint of AMFI on the SGS stress model, a non-linear SGS stress model is developed, based on the tensor algebra and Taylor expansion theory, in terms of resolvable strain rate tensor and rotation tensor.

根据旋转湍流SGS模型的建模规则，利用张量代数和Taylor近似理论发展了一种由大涡应变率和旋转张量构成的非线性SGS应力模型，并满足AMFI条件。

This method is based on tensor and tensor algebra. To utilize the multidimensional data of the remote sensing image, the vector-based learning machine is generalized to the tensor-based learning machine which accepts tensors as input, then the convex optimization theory and the alternating projection procedure are used to get the solution of the TLM.

该方法基于张量数据模型和张量代数运算，针对遥感影像数据多维或高维的特点，将基于向量的监督法学习机扩展为基于张量的监督法学习机，然后利用凸函数最优化理论和交互投影迭代法求得张量学习机的最优解。

Then, the permeability tensor theory is utilized to calculate permeability tensor value of each measured chamber section in order to obtain crack medium three-dimension permeability tensor field.

针对裂隙岩体的非均质性、各向异性特点，本次毕业设计对紫坪铺水利枢纽工程地下洞室开挖后洞壁裂隙结构面进行了几何参数测量和分组，再利用渗透张量理论计算各测量洞段渗透张量值，获得裂隙介质三维渗透张量场。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。