查询词典 variational equation

Firstly, the paper puts forward the basic equation, and then establishes error equation. Then in light to the difficulties in rectifying and checking, put forward a useful rectification and check method.

首先给出了基本关系式，列立误差方程，然后针对该方法纠正影像存在的困难，给出了实用的检查精度和纠正的方法。

On the base of INS, the method of initial alignment is introduced. And the state equation and observation equation are proposed. Using velocity error as exterior value of observation, We achieve the initial alignment.

在实现INS的基础上，研究INS和GPS组合的初始对准方法，建立组合导航系统的状态方程及速度观测方程，应用卡尔曼滤波器实现了INS／GPS的组合对准。

Firstly,the differential equation with parameters is given,at the same time,in order to let the truncation error of differential equation reach O(Δt~2+Δx~4) as high as possible,the method of undetermined coefficent is used to appropriately select the expression of these parameters.Secondly,the stability condition of the scheme derived is given by using the Fourier method of stability analysi...

首先给出了含参变量的差分方程，并用待定系数法适当地选取了这些参数的表示式，以使差分方程的截断误差阶尽可能高地达到了O(Δt2+Δx4)；其次用稳定性分析的Fourier方法给出了所得格式的稳定性条件；然后给出了确定差分格式中参数的两种方法，得到了一个稳定性条件为r/3的分支稳定的高精度显式差分格式；最后给出了数值例子，数值结果表明了本文格式较现有同类格式的优越性和理论分析的正确性。

We can not apply Galerkin methods with radial basis functions to the first boundary value problem (the Dirichlet boundary value problem) of the second-order elliptic equation, because it requires that the approximate functions should fit the essential boundary condition, while the spaces spanned by the radial basis functions fails to satisfy this kind of boundary condition, and it is the same for the higher-order elliptic equation.

我们不能直接应用这样的无网格算法求解二阶椭圆型方程的第一类边值问题(Dirichlet边值问题)，因为第一类边界条件是本质边界条件(对二阶椭圆型方程为Dirichlet边界条件)，而径向基函数的支集通常是全空间，由它们所生成的近似函数空间一般不满足这样的条件。

In this paper, we construct the differential equation to solve the unconstrained optimization problem. Such methods solving the ill-conditioned problems are very effective. It indicates that the asymptotically stable region of explicit the Euler method to solve the differential equation equals to the descent region of the gradient method to solve the original unconstrained optimization problem.

我们发现，在用Euler方法求解二次优化问题的等价动力系统的方程时，由方法的步长确定的稳定区域对应于这些方法所得到的迭代公式的步长满足单调下降算法的条件确定的单调下降区域，因此我们可以利用这个性质构造解无约束优化问题的数值方法而不采用标准的常微分方程的数值求解公式。

Dimensionless equation of air flow resistance is functional relation of Euler number, Reynolds number and Prandtl number, is set up after experimental data is analyzed Air resistance through cooling coil is conveniently computed , fan of the new cooling tower is correctly selected and suitable distance of among cooling tubes is designed by the dimensionless equation.

建立了空气流动阻力的准则方程，即欧拉数Eu与雷诺数Re、普朗特数Pr之间的函数关系。利用这个准则方程可以方便地计算空气流经冷却盘管的阻力，合理地选配封闭式冷却塔所用风机和设计冷却盘管的管间距。

It is hardly to get and express the solution of the equation of evolution by the analysis, so it used to solve the equation by numerical method.

根据解析的方法求发展方程的解，并且通过已知函数表示出来。

From this equation we obtain the evolution equation of the image surface using the connection of the surface evolution and its level lines.

由这个演化方程，利用曲面演化和其水平线演化之间的关系，得到关于图像曲面的演化方程。

We establish a differential equation system via Newton method, and prove that the solution of nonlinear complementarity problems is exact the equilibrium point of differential equation system.

应用了牛顿的方法建立了微分方程系统，证明了非线性互补问题的解是所构造微分方程系统的渐近稳定平衡点，并给出了算法，证明了算法具有二阶收敛速度。

The matrix differential equation is solved using method of steps and applying Laplace transform. Using this method and exact solution of the matrix differential equation with delayed arguments was....

待流场达稳态后，於注水井筛段注入追踪剂并在抽水井筛段量测浓度穿透曲线，使用适当数学模式分析其浓度穿透曲线及上、下井筛段泄降差，即可同时。。。。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。