查询词典 differentiation of implicit function

An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

State Key Laboratory of Millimeter Waves, Southeast University , Nanjing 210096, ChinaIn this paper, it is proven that the divergence relationship of electric-field and magnetic-field is non-zero even in charge-free regions, when the electric-field and magnetic-field are calculated with Alternating Direction Implicit Finite-Difference Time-Domain method, and the concrete expression of the divergence relationship is derived.

摘要该文证明了即使在无源区域，交替方向隐式时域有限差分法所给出的电磁场量不满足零散度关系，同时推导出了该散度关系的具体表达式。

The alternating group iterative method is used to solve the implicit scheme and the Crank-Nicolson scheme of the dispersive equation.

数值试验对色散方程的隐格式与Crank-Nicolson格式分别应用交替分组迭代求解。

Furthermore, we constructed group explicit method, alternating group explicit method and alternating section explicit-implicit method. The last two methods are unconditionally stable. The numerical results show that our methods have good accuracy.

分析表明，通过格式在不同时间层的交替，如分组显式方法、交替分组显式方法、交替分段显-隐方法，后两种方法是绝对稳定的，而且数值试验表明计算精度较好。

For accelerating this problem's compute time in parallel computer, we use Saul'yev type asymmetric different scheme and classicality explicit-implicit type to get a new alternating group explicit method for solving diffusion equation.

为便于在并行计算机上计算以加快计算速度，现将第二类saul'yev非对称格式以及古典显、隐式相结合，构造了求解扩散方程的一类交替分组显格式，其基本结构为四点组，并针对内点为偶数的情况，在节点两端点处进行了处理，以提高精度。

To give a hopelessly commonsense answer to a question is a very common device to suggest the answerer's reluctance to reply and to propose a change in topic in a polite, implicit, and somewhat humorous way.

四、按照一般的逻辑，一个美人嫁给一个离异、年老的男人，通常不是为了爱，而是为了钱，因此Mary影射这位继母是一个"傍大款"的贪婪女人。

To gie a hopelessly commonsense answer to a question is a ery common deice to suggest the answerer's reluctance to reply and to propose a change in topic in a polite, implicit, and somewhat humorous way.

总之，语用学确实是一门很有趣的学科，遗憾的是，在我们中国的英语教学中，并不教授这门课程，因而造成许多学生不能准确理解外国人讲话的真正含义。

The critics see in some aspects of the government's diplomacy an implicit anti-Americanism.

批评者们还声称，从若干方面来看，政府外交骨子里隐含着一种反美主义。

The disadvantage of apprehensibility implicit in graphical modeling technic, such as Barker Notation, UML during requirement analysis is discussed, including the tendency of satisfying the developers instead of users.

以Barker表示法、UML为例，分析了需求分析过程中图示建模技术在可理解性方面的缺陷，指出了这些建模技术偏重于开发人员的倾向。

As for 3D visual clothing simulations, the primary problems are the sense of the reality of fabric and the efficiency for collision operation. For these reasons, we simulate the sense of reality of the fabric using an approximate implicit integration and the texture mapping technique. Besides, we improve the efficiency for collision operation using the vector and voxel model.

在3D虚拟服装的模拟过程中，主要的问题为服装布料的真实性与碰撞运算的效率，透过利用近似隐含法、材质贴图与光学法则达到布料模拟的真实性，并利用向量运算与体素法增加模拟过程中碰撞运算的效率。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。