       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:=  <<NumberTheory`ContinuedFractions`

In:=  cf = ContinuedFraction[87 / 37]

1
Out:=     2 + ---------
1
2 + -------
1
1 + -------
1
5 + -------
2

In:=  Normal[cf]

Out=  87 / 33

Or has Mathematica 4 gone back to the old list format of Mathematica 2,
(much more convenient for long periods),

as ;

In:=  List @@ cf

Out=  {{2,2,1,5,2}}

Now an alternative way of representing continued fractions is with the
nested form ;

In:=  2+1/(2+1/(1+1/(5+1/2)))

Out=  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

```

• Prev by Date: Re: odd behaviour in rule delayed
• Next by Date: RE: "mma" becomes "Mathematica"
• Previous by thread: RE: "mma" becomes "Mathematica"
• Next by thread: Re: Alternative cf format.