[PD] converting decimal to binary

[Mathieu Bouchard]

On Tue, 4 Jul 2006, Martin Peach wrote:

> Mathieu Bouchard wrote:
>> On Mon, 3 Jul 2006, Chuckk Hubbard wrote:
>>> On 7/3/06, padawan12 <padawan12 at obiwannabe.co.uk> wrote:
>>>> I forgot, what's the name for a curve that oscillates (asymptotically?) 
>>>> around a value converging on it, in the purest mathspeak?
>>> Got me.  Curious if you find out.
>> I don't think that there's a name for such a sequence.
> A limit cycle?
> http://mathworld.wolfram.com/LimitCycle.html

No, a LimitCycle not only doesn't (generally) have a single Limit (the 
concept exists for the case where an ordinary Limit is not enough), it 
also can apply to cases where values don't "oscillate" around the Limit 
points.

Padawan is talking about something that does always converge. E.g. he 
might be thinking about exp(t)*sin(t) or sin(t)/t, neither of which have a 
limit cycle bigger than 1 element, which means that they have a single 
limit, and then calling that a limit cycle doesn't imply anything about 
oscillations.

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