Function interpolation

• To: mathgroup at smc.vnet.net
• Subject: [mg45336] Function interpolation
• From: fernandoronci at hotmail.com (Fernando Ronci)
• Date: Thu, 1 Jan 2004 05:54:29 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,

I'm new to Mathematica and need some hints on how to derive (or
estimate) a function from a given set of discrete x/y values.
I know Mathematica can do this but I don't know how.
For example, I tried to create a table of x/y values, then assign the
approximated funcion to 'newfunction' and test it by calling it with
2.3 as argument, but it failed as follows (I couldn't even figure out
how to build the table):

Table = [{0, 0}, {1, 2}, {2, 4}, {3, 8}, {4, 16}, {5, 32}]
newfunction = Interpolation[%]
newfunction[2.3]

Syntax::"sntxf": "Table =" cannot be followed by "[{0, 0}, {1, 2}, {2,
4}, {3, 8}, {4, 16}, {5, 32}]".
Table = [{0, 0}, {1, 2}, {2, 4}, {3, 8}, {4, 16}, {5, 32}]

BTW, I'm working with Mathematica 4.
Help appreciated.
Thank you,

Fernando Ronci
E-mail: fernandoronci at hotmail.com

```

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