       Re: Function interpolation

• To: mathgroup at smc.vnet.net
• Subject: [mg45358] Re: Function interpolation
• From: drbob at bigfoot.com (Bobby R. Treat)
• Date: Fri, 2 Jan 2004 04:23:47 -0500 (EST)
• References: <bt0uc8\$hec\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Lists are bounded by {}, not [], and Table is a protected symbol.

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

Bobby

fernandoronci at hotmail.com (Fernando Ronci) wrote in message news:<bt0uc8\$hec\$1 at smc.vnet.net>...
> 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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