Re: Corresponding function to given values...
- To: mathgroup at smc.vnet.net
- Subject: [mg35989] Re: [mg35966] Corresponding function to given values...
- From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
- Date: Sun, 11 Aug 2002 05:13:49 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
On Saturday, August 10, 2002, at 05:05 AM, Sven Richter wrote: > Is there a possibility that Mathematica gives me a function to given > pairs of values? > In other words: I have several pairs like {1, 2}, {2, 4}, {3, 9}. And I > what like to know the corresponding function (what is in this example > obviously f[x]=x^2). > > TIA > Sven > > > > > > Is that really obvious? How about: In[7]:= Rationalize[Fit[{{1, 2}, {2, 4}, {3, 9}}, {x, x^2, x^3}, {x}]] Out[7]= 3*x - (3*x^2)/2 + x^3/2 In[8]:= % /. {{x -> 1}, {x -> 2}, {x -> 3}} Out[8]= {2, 4, 9} Andrzej Kozlowski Toyama International University JAPAN http://platon.c.u-tokyo.ac.jp/andrzej/