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MathGroup Archive 2004

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Re: Function interpolation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45374] Re: Function interpolation
  • From: "Jean.Pellegri" <Jean.Pellegri at wanadoo.fr>
  • Date: Sun, 4 Jan 2004 04:56:06 -0500 (EST)
  • References: <bt0uc8$hec$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"Fernando Ronci" <fernandoronci at hotmail.com> a écrit dans le message de
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]

In[4]:= f=Interpolation[{{0, 0}, {1, 2}, {2, 4}, {3, 8}, {4, 16}, {5, 32}}]

Out[4]= InterpolatingFunction[{{0,5}},<>]

In[7]:= f[3.4]

Out[7]= 10.496

In[6]:= f'[3.4]

Out[6]= 7.25333

Salut

-- 
< Jean Pellegri >
"fortitudo mea in rota"
F - 93100 Montreuil
I - 54023 Filattiera



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