| 1. | In order to define this irrotationality condition mathematically, let us consider the equation of motion in terms of velocities .
为了从数学上确定此无旋性条件，我们考虑以速度为未知函数的运动方程。 |
| 2. | Tracking differentiator approaches for solving optimization problems and finding roots of algebraic equations
利用跟踪微分器构造未知函数的寻优器及求根器 |
| 3. | In the paper the local polynomial method which is contained the local modelling approach is employed to estimate the unknown functions
本论文使用局部光滑方法中的局部多项式方法给出未知函数的估计。 |
| 4. | The method is firstly applied to solve the linear convection - dominated diffusion problems and the optimal l2 - error estimates of the unknown function c and the vector flux p are gained
此方法首先被用于求解线性对流扩散问题，得到了关于未知函数c及伴随函数p的最优l ~ 2误差估计。 |
| 5. | By use of the fourier transform , the problem can be solved with the help of two pairs of dual integral equations in which the unknown variables are the jumps of the displacements across the crack surfaces
利用傅立叶变换，将问题的求解转换为对以裂纹面上位移差为未知函数的对偶积分方程的求解。 |
| 6. | Expanded mixed finite element approximations of the parabolic problems are considered . error estimates for the scalar unknwon , its gradient and its flux in l2 - norm are obtained for this new mixed formulation
通过数值分析进一步说明扩展混合元方法是稳定的，并得到了未知函数、未知函数的梯度和流体流量的l ~ 2 -误差估计。 |
| 7. | Actually , n - s equation has three unknown functions u , v , p and three equations , now prandtl boundary layer equation has two unknown functions w , vand two equations only , and viscosity terms has partly reduced
原来有三个未知函u ， v ， p及三个方程，现在只有两个未知函数u ， v及两个方程，且粘性项也少了一些，这些都是简化的地方。 |
| 8. | The regression coefficients in mixed geographically weighted regression model characterize by that portion of its regression coefficients are unknown constants while other regression coefficients are unknown functions of geographical locations
摘要混合地理加权回归模型系数特征是部分回归系数为未知常数，而其它回归系数为地理位置的未知函数。 |
| 9. | Based on this fomulation , expanded mixed finite element approximations of the hyperbolic problems are considered . optimal order error estimates for the scalar unknwon , its gradient and its flux in l2 - norms are obtained for this new mixed formulation
给出了逼近未知函数、未知函数梯度和流体流量的最优l ~ 2模误差估计以及拟最优的最大模误差估计。 |
| 10. | Using the difference method and quasi - linearization method , the nonlinear differential equations , which include ten basic unknown functions in all , are reduced to a sequence of quasi - linear differential equations , which can be solved by the method of discrete orthogonalization
采用差分及准线性化方法，将含有10个基本未知函数的偏微分方程组，变换成能用离散正交法编程求解的准线性微分方程组。 |
