If I have a set of n numbers, (n=0,1,2, ... n-1), what is the maximum number coefficients in a series I would need in order to find y=f(n) true on the integers up to n-1? Or is that something I just have to check after fitting it? ( does it need an nth degree polynomial?)(adsbygoogle = window.adsbygoogle || []).push({});

Another question:

If I have a finite set of functions, F_{t}(x), and these functions may or may not be similar (i.e. F_{t}(x) = x, x^{2}, x^{3}... x^{t}), how can I fit a plane to a set of functions such that F(1,x)=F_{1}(x), F(2,x)=F_{2}(x) ... in order to find an equation F(t,x)?

can/how is this done if each function is a summation? (i.e. F_{1}=[itex]\sum[/itex]a_{1}(n)*x^{n}, F_{2}=[itex]\sum[/itex]a_{2}(n)*x^{n})

can I find an equation like F(t,x) = [itex]\sum[/itex]G(t)*a_{t}(n)*x^{n}that will satisfy this?

thanks

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Curve fitting and Plane fitting

Loading...

Similar Threads for Curve fitting Plane | Date |
---|---|

I Curve fitting | Jun 7, 2016 |

Interpolation help fitting curve to three points | Nov 28, 2011 |

Curve fitting piecewise function | Oct 1, 2011 |

Curve Fitting | Aug 25, 2004 |

Fitting a Sine Curve to Two Points | Jun 29, 2004 |

**Physics Forums - The Fusion of Science and Community**