In this paper we turn out the coherent - state expression of energy - momentum stress tensor in two dimensional schwarzschild black holes . the results have been discussed as well 讨论了一个二维黑洞的能量应力张量的相干态表示,并将这样得到的结果与已有的结果进行比较和讨论。
Now there are two methods on the resarch of finsler geometry . one shi tensor method , the other is analytic method . in present papaer , we majorly use the lat tor 对于finsler几何的研究，现在主要有两种方法，一种是张量的方法，一种是分析的方法，本文主要采用了后者。
The influence of turbulence is seen as a new term in the equations . this term is the divergence of a second - order correlation tensor of the fluctuating parts of each velocity component 湍流脉动的影响作为一个新的附加项?雷诺应力，出现在rans方程中，它是扰动速度分量二阶关联张量的散度。
9 . by the research of metric tensor and riemann tensor on riemann manifold , we get the inherent curvature of configuration space belonging to parallel mechanism . so the relative coordinates and generalized coordinates are inevitable choice for parallel mechanism . 10 9 、通过对度量张量和riemann张量的研究，得出并联机构运动可达子空间的内在“弯曲”性质，指出使用相对坐标系和广义坐标是研究并联机构运动学和动力学问题的必然选择。
The effect of the change of surface elevation on the wave development and elimination is pointed out for the first time , which provides the necessary theoretical basis for the development of united current - wave - tide model ; hi the discussion of the effects of waves on currents , a variety of wave - induced forces on the geostrophic and viscous condition and their producing mechanism are introduced systematically , their corresponding wave - induced currents are also analyzed qualitatively . moreover , a complete expression of wave - induced reynolds stresses tensor is presented for the first time 在浪对流作用的讨论中，系统的阐述了海浪在地转作用和粘性条件下所产生的各种作用力，详述了它们的生成机制，并定性的分析了相应的波生流，同时，首次提供了地转条件下浪致雷诺应力张量的完整表达式，为实现海流模式与海浪模式的并行数值计算提供了一种简便的途径。
This paper uses the method of tensor to proof the tenable condition of generalized plastic potential , discuss the mathematical essential of the associated and disassociated flow rule and the relation of the yield surface and plastic potential surface , reason the expression of plastic factor strictly . debate the limitation on drucker ' s postulate . subsequently , this paper gives the mathematical basis of constitutive theory involving the rotation of principal stress axes . so it is proved that the mathematical and mechanical foundation of the generalized plastic mechanic 本文运用张量的方法论证了广义塑性位势理论成立的充要条件，讨论了关联与非关联流到法则的数学实质，屈服面与塑性势面的关系，严密推导了塑性因子的表达式，讨论了drucker公设的局限性，并给出了考虑主应力轴旋转时土体本构模型理论的数学依据，系统的论证了广义塑性力学成立的数学力学基础。
In this dissertation , the author presents a model of transforming element fracture net into element equivalent hydraulic conductivity tensor . this model can effectively reflect the obvious anisotropy and non - homogeneity of fracture rock seepage and makes it easier to simulate the various aperture fissure and display the fundamental characteristics of discrete fissure net . in addition , the model is can also make the best use of the sound theoretic foundation of equivalent continuum model < wp = 5 > 5 、本文提出将单元裂隙网络转化为等效单元渗透张量的裂隙网络转换模型(单元网络模型) ，具有真正体现裂隙岩体渗流明显的各向异性和显著的非均质性、易于模拟变隙宽裂隙、基本显示岩体裂隙网络渗流的基本特点、充分利用连续介质模型雄厚的理论基础等特点。
Some numerical technicalities , such as choice of fundamental solution to governing equation of flow problem , treatment process to corner point problems , automatic meshing , treatment process for fractures partly beyond the flow domain boundaries , were also discussed . thirdly , a hybrid bem - channel model was presented , and the numerical procedure for which was described 进行了裂隙岩体的多孔介质水力等效性分析，研究了裂隙岩体的渗透系数的张量形式，阐述了裂隙岩体等效水力性质的计算方法，包括rev大小的估计和等效渗透系数张量的计算。
