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Re: Problems with interpolating

• To: mathgroup at smc.vnet.net
• Subject: [mg13162] Re: [mg13050] Problems with interpolating
• From: Sean Ross <seanross at worldnet.att.net>
• Date: Mon, 13 Jul 1998 07:42:12 -0400
• References: <199807042044.QAA02839@smc.vnet.net.>
• Sender: owner-wri-mathgroup at wolfram.com

Luca wrote:
> 
> Hi! I have a problem:
> I need to interpolate some data.
> I tried to use both "Interpolation" and "InterpolatingFunction", but I
> didn't achieve my aim. I need both the interpolating equation and the
> interpolating function displayed on video .What is the difference
> between "Interpolating" and "Fit"?  Can anyone help me, please? Thank
> you, Luca

Interpolation is a piecewise interpolation of polynomials, by default of
order three.  Because it is piecewise, there is no single equation, but
a large set of equations each of which is valid over a small segment of
the data range.  You can see the full version by using FullForm or by
saving the interpolation function object to file and then looking at it
in a text editor.

Fit is a single polynomial of arbitrary order that fits the data points
of the entire data set.

• References:
  • Problems with interpolating
    • From: "Luca " <luca.ort@flashnet.it>