Re: Dimension of sequences
Fernando Bauer wrote:
>
> Derek Parnell wrote:
>
> Hi Derek. Thanks for your reply.
>
> > A sequence doesn't have a 'dimension' in geometrical sense. A sequence is
> > not
> > a geometric object.
>
> A vector or a matrix aren't geometric objects in mathematics or in programming
> either, however they
> have a dimension, as you know.
Yes, but their 'dimension' is just a special term, which means
just number of members. And at all another thing, if, for example,
some vector describes x-y-z coordinates of some point
in some 3-dimensional space.
> > 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?
> It is a theoretical question. Maybe there are rules or functions (e.g.
> compression
> factor?) that depends on this parameter. Why do the mathematicians and
> physicists
> calculate dimensions of fractal objects?
There is very simple theory of Euphoria sequences in Euphoria
documentation, firsthand about EU sequences.
These sequences have 'length', and nothing more.
But any member of any sequence can be a sequence itself
with its own length.
This 'length' is just number of members.
See, 'dimension' of vector is equal to 'length' of sequence.
So, your question is not 'theoretical' one, but is just some
question about sense of some terms in Euphoria.
This is a question about multimeaning of the word 'dimension',
I think.
Another thing that EU sequences can describe any
multidimensional real and unreal objects and things,
thanks to very flexible nature of these sequences.
> > Are you asking the right question?
> I think yes, since I understand your response as option e) (the concept does
> not apply to). I don't know the answer.
I think, the answer may be simple enough - dimension of
Euphoria sequence is just its length.
But we must not confuse sequence itself and thing,
which is described with that sequence.
Regards,
Igor Kachan
kinz at peterlink.ru
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