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