RE: Realsim and 4D Arrays

2000-10-06 Thread Paul Ihrig 

http://206.183.250.42/flash/bwCubes.swf

> -Original Message-
> From: Gavin Myers [SMTP:[EMAIL PROTECTED]]
> Sent: Friday, October 06, 2000 8:49 AM
> To:   CF-Talk
> Subject:      Realsim and 4D Arrays
> 
> 
> 
> Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> having a hard time thinking of what a 4D Array looks like.
> 
> 1d = X cordinate
> 2d = X,Y cordinate
> 3d = X,Y,Z cordinate
> 4d = bah!
> 
> Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
> then in this sense, be 1 cube seperated by several smaller cubes wich are
> in
> turn seperated by even smaller cubes?
> 
> or is it just not safe to go there?
> --
> 
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Realsim and 4D Arrays

2000-10-06 Thread Gavin Myers 



Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
having a hard time thinking of what a 4D Array looks like.

1d = X cordinate
2d = X,Y cordinate
3d = X,Y,Z cordinate
4d = bah!

Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
then in this sense, be 1 cube seperated by several smaller cubes wich are in
turn seperated by even smaller cubes?

or is it just not safe to go there?
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RE: Realsim and 4D Arrays

2000-10-06 Thread Paul Ihrig 

imagine the tardis.
with Dr. Who flying through space & time.
3-demensional on the out side, but infinite within.

just messing.
-paul

> -Original Message-
> From: [EMAIL PROTECTED] [SMTP:[EMAIL PROTECTED]]
> Sent: Friday, October 06, 2000 8:07 AM
> To:   CF-Talk
> Subject:      Re: Realsim and 4D Arrays
> 
> How about a cube moving thru time ... then each one of those little cubes 
> would have x,y,z at any giving point in time. The cube with a velocity
> moving 
> thru time ... yeap, I think that'll do it.
> --
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Re: Realsim and 4D Arrays

2000-10-06 Thread Wjreichard 

How about a cube moving thru time ... then each one of those little cubes 
would have x,y,z at any giving point in time. The cube with a velocity moving 
thru time ... yeap, I think that'll do it.
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RE: Realsim and 4D Arrays

2000-10-05 Thread BORKMAN Lee 

Thanks Rob,

It's really an old problem from I.T. god Donald Knuth.  He was looking for a
way to define ANY font with a finite set of parameters (MetaFont).  Of
course it's impossible - font-space is infinitely-dimensioned.

As for me, I did lots of post-grad work in genetic modelling, and it's
helpful to think of evolution as a walk through a many-dimensioned
gene-space (sometimes a random walk, sometimes biased).

Anyway,
thanks,
Lee Bjork Borkman
Bjork.Net - ColdFusion Tags by Bjork

---

From: Rob Keniger [mailto:[EMAIL PROTECTED]]
Sent: Friday, October 06, 2000 4:07 PM
To: CF-Talk
Subject: Re: Realsim and 4D Arrays


on 2000-10-07 1:45 AM, Lee Borkman at [EMAIL PROTECTED] wrote:

> It doesn't matter that you can't visualise the space
> like you can physical space - just think of n-dimensions as n knobs on
your
> hi-fi,

This is probably the best analogy for n-dimensional arrays I've seen yet.
Thanks.

-- 
 
Rob Keniger
big bang solutions
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RE: Realsim and 4D Arrays

2000-10-05 Thread BORKMAN Lee 

Well, that surely depends on what you're trying to do.

Philosophically (yippee!) I'm trying to define the space of all possible
hi-fi settings (in order to help our friend visualize n-dimensions).  Each
possible setting corresponds to a single point within the 10-dimensional
space.

Whether or not you would actually WOULD use a 10-d array to store hi-fi
settings depends on the circumstance. Basically, your 1-d array may be
suitable for some operations, but it doesn't really have much to say about
hi-fi space ;-)

After all, what does your single dimension represent?  It's the KNOB
dimension, and you have defined 10 separate points along that single Knob
dimension.  In my model, I have a Volume dimension, a Bass dimension, a
Treble dimension, etc.  There's a certain semantic richness there.

Sorry to descend into phil-speak.
see you soon,
Leeb.


-Original Message-
From: Jim McAtee [mailto:[EMAIL PROTECTED]]
Sent: Friday, October 06, 2000 1:43 PM
To: CF-Talk
Subject: Re: Realsim and 4D Arrays


I'm hoping your hi-fi example is just a bad analogy.  I'd represent it as a
structure or a one dimensional array with 10 items.

Jim


- Original Message -
From: "Lee Borkman" <[EMAIL PROTECTED]>
To: "CF-Talk" <[EMAIL PROTECTED]>
Sent: Friday, October 06, 2000 9:45 AM
Subject: RE: Realsim and 4D Arrays


You can do much worse than that.  In genetics we talk about essentially
infinitely-dimensioned spaces, one dimension for every gene on the
chromosome.

But there are ways to comprehend it all.  Imagine your hi-fi.  It has maybe
ten knobs on it.  Each knob can be turned to an infinite number of
positions.
If you wanted to write or store the information about the settings on your
hi-fi, you would probably use a ten-dimensional array, thus defining a
ten-dimensional 'space'.  It doesn't matter that you can't visualise the
space
like you can physical space - just think of n-dimensions as n knobs on your
hi-fi,

Lee Bjork Borkman
Bjork.Net - ColdFusion Tags by Bjork


> -Original Message-
> From: Gavin Myers [mailto:[EMAIL PROTECTED]]
> Sent: Thursday, October 05, 2000 12:59 PM
> To: CF-Talk
> Subject: Realsim and 4D Arrays
>
>
> Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> having a hard time thinking of what a 4D Array looks like.
>
> 1d = X cordinate
> 2d = X,Y cordinate
> 3d = X,Y,Z cordinate
> 4d = bah!
>
> Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
> then in this sense, be 1 cube seperated by several smaller cubes
> wich are in
> turn seperated by even smaller cubes?
>
> or is it just not safe to go there?



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Re: Realsim and 4D Arrays

2000-10-05 Thread Rob Keniger 

on 2000-10-07 1:45 AM, Lee Borkman at [EMAIL PROTECTED] wrote:

> It doesn't matter that you can't visualise the space
> like you can physical space - just think of n-dimensions as n knobs on your
> hi-fi,

This is probably the best analogy for n-dimensional arrays I've seen yet.
Thanks.

-- 
 
Rob Keniger

big bang solutions






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Re: Realsim and 4D Arrays

2000-10-05 Thread Jim McAtee 

I'm hoping your hi-fi example is just a bad analogy.  I'd represent it as a
structure or a one dimensional array with 10 items.

Jim


- Original Message -
From: "Lee Borkman" <[EMAIL PROTECTED]>
To: "CF-Talk" <[EMAIL PROTECTED]>
Sent: Friday, October 06, 2000 9:45 AM
Subject: RE: Realsim and 4D Arrays


You can do much worse than that.  In genetics we talk about essentially
infinitely-dimensioned spaces, one dimension for every gene on the
chromosome.

But there are ways to comprehend it all.  Imagine your hi-fi.  It has maybe
ten knobs on it.  Each knob can be turned to an infinite number of
positions.
If you wanted to write or store the information about the settings on your
hi-fi, you would probably use a ten-dimensional array, thus defining a
ten-dimensional 'space'.  It doesn't matter that you can't visualise the
space
like you can physical space - just think of n-dimensions as n knobs on your
hi-fi,

Lee Bjork Borkman
Bjork.Net - ColdFusion Tags by Bjork


> -Original Message-
> From: Gavin Myers [mailto:[EMAIL PROTECTED]]
> Sent: Thursday, October 05, 2000 12:59 PM
> To: CF-Talk
> Subject: Realsim and 4D Arrays
>
>
> Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> having a hard time thinking of what a 4D Array looks like.
>
> 1d = X cordinate
> 2d = X,Y cordinate
> 3d = X,Y,Z cordinate
> 4d = bah!
>
> Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
> then in this sense, be 1 cube seperated by several smaller cubes
> wich are in
> turn seperated by even smaller cubes?
>
> or is it just not safe to go there?


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Re: Realsim and 4D Arrays

2000-10-05 Thread pan 


From: "Gavin Myers" <[EMAIL PROTECTED]>

> Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> having a hard time thinking of what a 4D Array looks like.
> 
> 1d = X cordinate
> 2d = X,Y cordinate
> 3d = X,Y,Z cordinate
> 4d = bah!
> 

1d = line of text
2d = page of text
3d = book of pages
4d = shelf of books
5d = my collection of cardboard boxes full of books

Pan


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Re: Realsim and 4D Arrays

2000-10-05 Thread Richard Ramos 

Hey its Vetor Calc all over again. Next week Diff Eq.  Ha.

Richard Ramos
Network Administrator
Softitler Net, Inc.
www.softitler.com
[EMAIL PROTECTED]

- Original Message -
From: "Jaime Garza" <[EMAIL PROTECTED]>
To: "CF-Talk" <[EMAIL PROTECTED]>
Sent: Thursday, October 05, 2000 3:15 PM
Subject: RE: Realsim and 4D Arrays


> One easy way to think about the 4D, is as X,Y,Z,t where t stands for time.
> Then you can think on the life of your cube (or whatever 3d figure) where
> X,Y,Z are just a point in time.  Real matematicians can figure more than
> that, but us engineers use t in our third degree integrals.  But then, I
> left school in '85.
>
> 
>
>
>
> > -Original Message-
> > From: Gavin Myers [mailto:[EMAIL PROTECTED]]
> > Sent: Thursday, October 05, 2000 12:59 PM
> > To: CF-Talk
> > Subject: Realsim and 4D Arrays
> >
> >
> > Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> > having a hard time thinking of what a 4D Array looks like.
> >
> > 1d = X cordinate
> > 2d = X,Y cordinate
> > 3d = X,Y,Z cordinate
> > 4d = bah!
> >
> > Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would
4d
> > then in this sense, be 1 cube seperated by several smaller cubes
> > wich are in
> > turn seperated by even smaller cubes?
> >
> > or is it just not safe to go there?
> > --
> > 
> > Archives: http://www.mail-archive.com/cf-talk@houseoffusion.com/
> > To Unsubscribe visit
> > http://www.houseoffusion.com/index.cfm?sidebar=lists&body=lists/cf
> _talk or send a message to [EMAIL PROTECTED] with
> 'unsubscribe' in the body.
>
> --

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RE: Realsim and 4D Arrays

2000-10-05 Thread Lee Borkman 

You can do much worse than that.  In genetics we talk about essentially
infinitely-dimensioned spaces, one dimension for every gene on the
chromosome.

But there are ways to comprehend it all.  Imagine your hi-fi.  It has maybe
ten knobs on it.  Each knob can be turned to an infinite number of positions. 
If you wanted to write or store the information about the settings on your
hi-fi, you would probably use a ten-dimensional array, thus defining a
ten-dimensional 'space'.  It doesn't matter that you can't visualise the space
like you can physical space - just think of n-dimensions as n knobs on your
hi-fi,

Lee Bjork Borkman
Bjork.Net - ColdFusion Tags by Bjork


> -Original Message-
> From: Gavin Myers [mailto:[EMAIL PROTECTED]]
> Sent: Thursday, October 05, 2000 12:59 PM
> To: CF-Talk
> Subject: Realsim and 4D Arrays
>
>
> Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> having a hard time thinking of what a 4D Array looks like.
>
> 1d = X cordinate
> 2d = X,Y cordinate
> 3d = X,Y,Z cordinate
> 4d = bah!
>
> Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
> then in this sense, be 1 cube seperated by several smaller cubes
> wich are in
> turn seperated by even smaller cubes?
>
> or is it just not safe to go there?
> --
> 
> Archives: http://www.mail-archive.com/cf-talk@houseoffusion.com/
> To Unsubscribe visit
> http://www.houseoffusion.com/index.cfm?sidebar=lists&body=lists/cf
_talk or send a message to [EMAIL PROTECTED] with
'unsubscribe' in the body.

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RE: Realsim and 4D Arrays

2000-10-05 Thread Jaime Garza 

One easy way to think about the 4D, is as X,Y,Z,t where t stands for time.
Then you can think on the life of your cube (or whatever 3d figure) where
X,Y,Z are just a point in time.  Real matematicians can figure more than
that, but us engineers use t in our third degree integrals.  But then, I
left school in '85.





> -Original Message-
> From: Gavin Myers [mailto:[EMAIL PROTECTED]]
> Sent: Thursday, October 05, 2000 12:59 PM
> To: CF-Talk
> Subject: Realsim and 4D Arrays
>
>
> Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
> having a hard time thinking of what a 4D Array looks like.
>
> 1d = X cordinate
> 2d = X,Y cordinate
> 3d = X,Y,Z cordinate
> 4d = bah!
>
> Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
> then in this sense, be 1 cube seperated by several smaller cubes
> wich are in
> turn seperated by even smaller cubes?
>
> or is it just not safe to go there?
> --
> 
> Archives: http://www.mail-archive.com/cf-talk@houseoffusion.com/
> To Unsubscribe visit
> http://www.houseoffusion.com/index.cfm?sidebar=lists&body=lists/cf
_talk or send a message to [EMAIL PROTECTED] with
'unsubscribe' in the body.

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Realsim and 4D Arrays

2000-10-05 Thread Gavin Myers 

Maybe its because I don't exist in some Sci-Fi Channel tv show, but I'm
having a hard time thinking of what a 4D Array looks like.

1d = X cordinate
2d = X,Y cordinate
3d = X,Y,Z cordinate
4d = bah!

Considering a 1d array is a line, a 2d is a plane, 3d is a cube, would 4d
then in this sense, be 1 cube seperated by several smaller cubes wich are in
turn seperated by even smaller cubes?

or is it just not safe to go there?
--
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