摘要
本文先介绍泰勒公式的近似计算、求函数极限、证明一些非规则的中值问题等基本应用,然后拓展到利用泰勒公式推导出非线性方程求根的迭代公式的数值计算、数字散斑亚像素的偏移测量公式的工程应用,以此说明数学的有趣、有用,也阐释了数学理论的模型化、数值化.
This paper first introduces the basic application of Taylor s formula in approximation calculation,to obtain the limit of a function,and to prove irregular mean value problem.Tayler s formula is then further used in the numerical calculation to deduce iteration formulas for solving nonlinear equations and in engineering application for the offset measurement calculation of digital speckle subpixel,which indicate the interesting and usefulness of mathematics,and demonstrate the utilization of mathematical theory for modeling and numerical calculation.
作者
蔡光程
吕毅斌
叶凤英
杨小芹
CAI Guangcheng;LU Yibin;YE Fengying;YANG Xiaoqin(Faculty of Science,Kunming University of Science and Technology,Kunming 650500,China)
出处
《高等数学研究》
2023年第6期52-54,60,共4页
Studies in College Mathematics
基金
国家自然科学基金(11461037)
云南省一流课程(高等数学)建设项目(2019-3-018)
云南省研究生优质课程(数值分析)项目(109920210027).
关键词
泰勒公式
近似计算
非线性方程
工程应用
Taylor s formula
approximation calculation
nonlinear equation
engineering application
