通常，你只会在这两种情况下用替代法，或者这可以极大地简化被积函数，或者就是这可以简化，积分的上下限。
I mean, normally, you would only do this kind of substitution if either it simplifies a lot the function you are integrating, or it simplifies a lot the region on which you are integrating.
函数和方法的默认参数极大地减少了需要创建的重载方法数量。
Default arguments on functions and methods greatly reduce the number of overloaded methods you need to create.
总之，测试函数可以极大地增强编写测试的简便性。
Above all, test functions vastly enhance what might be called the writability of tests.
函数性语言极大地影响了编程的思考方式。
Functional languages can dramatically impact the way you think about programming.
与尝试用正则表达式和字符串函数手动完成此工作相比，使用 filter_var()函数将极大地减少编码量。
The filter_var() function greatly reduces the amount of coding compared to if you were to try to do this manually with a regular expression and string functions.
用散射、叠加方法推导出两层大地的并矢格林函数。
The dyadic Green's functions of two-layered earth are derived by the method of scattered superposition.
函数模型逼近和统计模型逼近在大地测量均有广泛的应用。
Functional approximations and statistical approximations have been widely applied in geodetic computation.
使用这些函数，含三维异常体的二层大地的边值问题转变为积分方程。
With these functions, the boundary-value problem of the two-layered earth which contains three-dimensional inhomogeneities reduces to an integral equation.
为了快速精确计算分层大地媒质中格林函数，提出了模拟镜像方法。
In order to calculate Green's function of multi-layer earth media (GFMEM) rapidly and accurately, the simulated image method is presented.
同时，拟合方法采用目前非常成熟的多项式最小二乘拟合。从而不仅能控制拟合函数的复杂性，而且使分段拟合的补偿区间数量达到最少，极大地降低了计算成本。
The paper adopts the method of multinomial least squares as fitting to make the fitting function be simple and the amount of compensation interval be least, reduces the calculation cost.
本文根据有代表性的准则函数推演出大地测量反演参数可辨识条件，给出其适用范围；
In this paper, the identifiable conditions are derived from the representative criterion function and their application scope is given.
回顾了作为实用天文学和大地测量学中基本研究课题之一的大气折射映射函数研究的进展。
The development of the mapping function of atmospheric refraction, which is a basic research project in practical Astronomy and Geodesy, is listed in this paper.
通过对图灵机状态跳转函数的思索和状态树的构造，得到对于任意状态节点的最大后缀状态，从而大大地加快了识别器的识别效率。
And it also gets the longest suffix state in state tree derived through the constructing of the state-jump function and effectively speeds up the character matching.
利用GPS水准对模拟大地水准面进行约束，采用“移去——恢复”技术和多面函数法进行拟合内插，得到转换后的大地水准面。
The GPS-levelling is used to add constraints on the simulated geoid, and the "remove-restore" method and the multi-quadric function method are used to interpolation, so as to obtain the refined geoid.
采用埃尔米特插值多项式代替泰勒展开式逼近目标函数，极大地降低了高阶交叉灵敏度的阶数。
Adopting the Hermite polynomial instead of the Taylor polynomial can greatly decrease the order of high-order cross sensitivity.
采用埃尔米特插值多项式代替泰勒展开式逼近目标函数，极大地降低了高阶交叉灵敏度的阶数。
Adopting the Hermite polynomial instead of the Taylor polynomial can greatly decrease the order of high-order cross sensitivity.
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