全部

1·As a kind of automatic differentiation techniques, it is based on the nonstandard analysis and normal power series theory.

作为一种自动微分技术，它结合了非标准分析、简正级数理论等的思想。

2·Automatic differentiation (AD), based on the nonstandard analysis theory, is a new technique in computer numerical analysis.

自动微分(AD)技术以非标准分析为理论基础，是计算机数值计算领域中的一种很有前途的方法。

3·Automatic differentiation, by which the derivatives of the function can be evaluated both exactly and economically, is applied to the field of scientific and engineering computation extensively.

自动微分技术能以较低的成本精确计算中大规模问题函数的导数，在科学计算、工程计算及其应用领域中有着广泛的应用。

4·The paper introduces in detail the process of making knowledge object of automatic detection and adjustment of system differentiation rate.

文章就此详细介绍了“自动检测和调整系统的分辨率”知识对象的制作过程。