不可微分的

When propagating light\|ray passes through two fixed points in the gradient index mediums and a cuspidal variable\|point （at this point the trace equation of propagating light\|ray is non\|differentiable） at the borderline of two different GRIN mediums, the mathematical relationship, which the trace equation of propagating light\|ray and borderline equation of two different GRIN mediums should satisfy, is derived by the Fermat's principle and calculus of variation.

当光线通过梯度折射率介质中两个固定点和两个GRIN介质界线上的可动尖点（光线轨迹方程的不可微点）时，由费马原理和变分法运算推得传输光线的轨迹方程与两种不同GRIN介质的界线方程应满足的微分关系式。

To study this situation,this paper proposes a theoretic and dynamical differential game ,in which the utilities of the two kinds of producer are the discounted profits and their decision variables are their choices of energy extraction and production.

就此情形构建了两类能源的生产者以各自的市场利润最大化为目标，以能源的开发与市场供给时间路径为战略选择的一个动态微分博弈的理论模型，研究两类能源并存的能源市场的均衡路径，分析两类能源的市场供给、市场价格、不可再生能源储量等经济变量的均衡特征和时间依变性质。

Let f be a solution of the higher order differential equation, a sufficient condition for f belonging to the weighted Dirichlet space D or to the Bergman space L, respectively, is obtained.

设f是高阶微分方程的解，得到了f分别属于加权Dirichlet空间D和Bergman空间L的一个充分条件，并得到了f是不可容许解的一个充分条件。

The thesis introduces summarily the differential form of Darcys Law, and derives the continuity equation of groundwater when it is incompressible and irrotional.

论文针对达西定律的微分形式，推导出对于不可压缩流体且无旋时的地下水连续性方程，确定了地下水自由面的边界条件，并求解出考虑降雨入渗时和地下水疏干时自由面的法向流速v〓。

The spectral element method, which combines the high-order precision of spectral methods and the geometrical flexibility of finite element methods, has achieved great success and is becoming a useful tool for investigation of such equations.

谱元法作为一种高阶的数值方法，结合了谱方法的高精度和有限元法灵活的网格剖分技术，在不可压流体的计算中已取得了很大的成功，并正成为计算随机微分方程的一个有力工具。

The objective of this study is to explore how the method of differential quadrature can be used to solve the motion of incompressible viscous fluid in the complexflow passage.

本文的主要目的是如何将微分求积法应用到求解复杂区域内不可压缩粘性流体的流动问题。

The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realization s of the SU(1,1) group are derived

利用玻色振子的逆算符构造了SU（1，1）群的生成元和不可约表示的相干态，导出了SU（1，1）群的非齐次逆微分实现。

Based on the virtual displacement principle of finite element method, a weak variation of GAO-YONG turbulence equations is put forward. The subroutine of the element and the integrated finite element code are generated by the finite element program generator successfully.

基于有限元方法中的虚位移原理，写出了不可压流Gao-Yong湍流方程组弱形式的微分方程表达式，利用有限元程序自动生成系统得到了全部有限元计算程序。

By using a similarity transformation, the Navier-Stobes equations in the cylindrical co-ordinates for the steady incompressible flow are reduced to an ordinary non-linear differential equation of the third order.

利用相似转换，将不可压缩流体，定常运动，柱坐标形式的纳非尔-斯托克司方程组简化为一三次非线性常微分方程，运用小参数法及适当边界条件求出此方程的解，结果表明，吸吮或吹注对流动的速度分布，沿流程压力下降和摩擦系数均有显著影响，其影响的大小，依赖于吸吮或吹注的性质，程度及二圆管的相对尺度。

Using Charent's pressure variable, two-phase, incompressible, immiscible flow in porous media is governed by a system of coupling nonlinear partial differential equations.

引入Charent压力变量，对于多孔介质中两相不可压缩流体的非混溶驱动问题，其模型表现为耦合的非线性偏微分方程组，一个是压力方程，另一个为饱和度方程。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。