应用函数

And many kinds of ways that any summable functions expande to FOURIER progression in symmetrical and dissymmetrical area that was defined , and

以及定义在对称和非对称区域上的任意可积函数展开成FOURIER级数的各种方法，并以典型算例说明其在数学中的应用。

Sinceβkernel is non-symmetric, there will be problem in the precision of graduation if using kernel graduation method, because, generally, kernel function is supposed to be symmetric in kernel graduation method, thus will cause boundary deviation in actual application.

但β核为非对称核，如果使用核修匀方法，在修匀精度上仍会存在问题，因为一般核修匀方法中均假设核函数具有对称性，在实际应用中将导致出现边界偏差现象。

By adopting its complex variable solutions, the stress solutions of dislocation in bi-material on the whole plane were worked out, integration of which along the crack line would lead to the basic stress solutions in Cartesian and polar coordinates system of an bi-material incline crack.

应用两相材料中点位错在全平面的复势函数解，导出了两相材料中点位错在全平面的应力场解，进而将该解沿裂纹线积分得到倾斜裂纹的直角坐标及极坐标应力场基本解，同时利用该基本解退化出单根界面裂纹的直角坐标及极坐标应力场基本解。

This paper illuminates several applications of Taylor formula, such as solving the limitation of variable equation, proving variable function equation and so on. It is an important guide for us to have a better understanding of Taylor formula's great functions, to exploit students' ways to thinking problems, to improve students' ability in analyzing and solving problems and to multi-use knowledge.

文章阐述了泰勒公式在求不定式的极限、函数不等式的证明等几个方面的应用，这对深刻体会泰勒公式的重要作用，开拓学生的解题思路，提高学生分析问题、解决问题的能力以及综合运用知识的能力有着巨大的指导作用。

Taylor formula in the function approximation, approximate calculation, the limits of computing, levels of Convergence and Divergence and judge evidence of inequality, such as extremely important aspects of the application.

泰勒公式在函数逼近、近似计算、极限运算、级数与的敛散性判断、不等式的证明等方面都有极其重要的应用。

Based on orthogonal function unfolding theory, the transverse fields can be represented as a superposition of waveguide modes. And according to coupled-wave theory, the time-dependent multi-mode coupling-wave equations (or the generalized telegrapher's equations) and the coupling coefficients among the different modes were deduced. The generalized telegrapher's equations are a set of coupled one-dimensional partial differential equations for the amplitudes of the modes.

应用正交函数的展开理论，将变截面波导中的电磁场表示为横电波和横磁波本征模式的级数；然后根据耦合波理论，推导了考虑波导金属壁有限电导率的变截面波导时域多模耦合波方程组及各模式间耦合系数的表达式。

Third, applied the variational function to the analysis of the reservoir property variety predication in three dimension, and the last, It is valuable and useful for low permeability gas field development to use the Darcy law and the permeability tensor analysis to describe the Permeability anisotropy.

本文对储层的宏观及微观非均质性统计分析的研究成果，特别是首次应用地质统计学的实验变差函数，量化分析储层属性变量的空间变异性，为储层参数

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

The effectiveness of the method was demonstrated by test function and engineering case.

测试函数和工程应用实例验证了该方法的有效性。

Introduction to the fundamental theory of complex functions and their application.

介绍复变数函数之基本理论及一些应用。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。