"GNU Octave is a high-level language, primarily intended for numerical
computations", according to its home page
[http://www.octave.org].  Its language "is mostly compatible with
[Matlab]."  Additional compatibility functions are available at 
octave-forge[http://octave.sourceforge.net].


http://merlin.inescn.pt/~qual/tk_octave/index.htm ?

Tkoctave

octcl: Tcl client for the Octave server.  Part of octave-forge[http://octave.sourceforge.net].
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Also, octaves are 8-dimensional numbers, just as complex numbers are 2-dimensional and quaternions 
4-dimensional, and more dimensions seem not to make any sense anymore, in number theory.

[AM] I think you will find that ''octonions'' are 8-dimensional numbers, they are also called biquaternions.

Their properties or better the ''lack'' of familiar properties is rather curious:

   * Complex numbers can not be ordered:  "i < 1" makes no sense
   * Quaternions do not commute when multiplied: a * b != b * a
   * Octionions do not have the associative property: a * (b * c) != (a * b) * c

(This latter lack of properties seems to be responsible for there not being a system of 16-dimensional numbers ...)

The existence of octonions does mean that in 7-dimensional space, just as in 3-dimensional space, but in no others, there exists an out-product for vectors.

(Okay, there are all rather impractical faits divers - but I thought you might like to know :)
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[Category Application] |
[Category Mathematics]