Alternative cf format.
- To: mathgroup at smc.vnet.net
- Subject: [mg21514] Alternative cf format.
- From: "Alan W.Hopper" <awhopper at hermes.net.au>
- Date: Fri, 14 Jan 2000 02:43:32 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Dear Math group, A message I meant to go to mathworld at wolfram.com i.e. Eric Weisstein's encyclopedia project at Wolfram , http://mathworld.wolfram.com was posted inadvertantly as [mg21478] , I apologize for this, but if anyone has some comments to make about that CyclicDecimals notebook of mine, I would be interested to know about it. But here is a separate little question for the mathgroup. with Mathematica 3.0 ; In[1]:= <<NumberTheory`ContinuedFractions` In[2]:= cf = ContinuedFraction[87 / 37] 1 Out[2]:= 2 + --------- 1 2 + ------- 1 1 + ------- 1 5 + ------- 2 In[3]:= Normal[cf] Out[3]= 87 / 33 Or has Mathematica 4 gone back to the old list format of Mathematica 2, (much more convenient for long periods), as ; In[4]:= List @@ cf Out[4]= {{2,2,1,5,2}} Now an alternative way of representing continued fractions is with the nested form ; In[5]:= 2+1/(2+1/(1+1/(5+1/2))) Out[5]= 87 / 33 My HP-48SX calculator can convert from the 'standard' to the nested formats (for short cont. frs) at the press of a key, and I imagine it would be straightforward to compose some Mathematica code, for the same purpose. Does anyone know a way to convert from the standard to the nested form, via the list form ? Best wishes to all for the new year/decade/millenium , Alan W. Hopper Katoomba, Australia. awhopper at hermes.net.au