The function approximation method based on space theory is very theoretical,and textbooks of-ten separate the topics of continuous function approximation and discrete data curve fitting,causing repeti-tive derivations and confusion for students.This paper unifies these problems under a general theory,highlighting differences in expressing linear independence and inner products in various spaces.Examples demonstrate the unified solving steps and specific expressions of linear independence in different spaces.This approach avoids redundancy and helps students understand through comparison,reducing confusion.
关键词
函数逼近法/空间/内积/造型/线性无关性
Key words
function approximation method/space/inner product/modeling/linear independent
维普
万方数据