Anonymous user
Talk:Formal power series: Difference between revisions
→About solving equations: Functional equations
(→About solving equations: Functional equations) |
|||
Line 35:
:::Can you give any examples of equations with these integrals where it would be "wrong"? I don't see anything unusual with what you've shown. Maybe you are not appreciating the power of recursive definitions. When you try to break it down into steps it might seem weird but the process is correct. --[[Special:Contributions/76.167.241.45|76.167.241.45]] 11:03, 18 February 2009 (UTC)
::::These integrals are OK, the implementations of functions using Taylor series are not, '''provided''' they should serve the purpose of solving functional equations like <math>F (x, f_1, f_2, ...) = 0</math>, where x is a variable, <math>f_i</math> are Taylor series and F is a combination of functional operators from the task (+, - etc). This is what <math>cos x + \int\int cos x=0</math> makes me suggest. But that does not looks to me like a use case of the Taylor series representation. If it were a case, then for example: <math>cos^2 x + sin^2 x=1</math> should work as well. Will it?
| |||