OpenEuphoria

Re: Dimension of sequences

• Posted by Derek Parnell <ddparnell at b?gpond.?om> Sep 15, 2007
• 657 views

I must disagree with Chris here.

A sequence doesn't have a 'dimension' in geometrical sense. A sequence is not a
geometric object.

Why do you need to know the 'dimension' of a sequence? I mean if you knew that a
given sequence has a dimension of 'x', what would you use 'x' for?

Are you asking the right question?

 
Fernando Bauer wrote:
> Then, suppose you have the following sequence:
> {
>  {1,1,1},
>  {1},
>  {1,1,1}
> }
> 
> If I can view this sequence as a representation of the letter "U", 
> using your answer below, I can conclude that the dimension of this
> sequence is 1.

This sequence has a length of 3 and a depth of 1, so in that sense it has two
dimensions I suppose - Length and Depth. It also has a content of 7 (the number
of atoms in total) so maybe a sequence has three dimensions? It also has a
sub-sequence of 3, so maybe a sequence has four dimensions - Length, Depth,
Content, Sub-sequence. Each of these is independant of the other so they sort of
qualify as dimensions, no? But then 'Content' is kinda like 'area' in concept so
maybe it doesn't count after all.



> > > Trying to answer that question, others more basics and related to that
> > > arise
> > > to me (sorry if they are stupid!):
> > > 
> > > What is the dimension of the circumference ?

Exactly my point. The dimension of a sequence is a meaningless concept. What are
you really trying to know about the sequence?

-- 
Derek Parnell
Melbourne, Australia
Skype name: derek.j.parnell