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Topic: a really easy question?
Replies: 0

 robby roiter Posts: 21 Registered: 12/12/04
a really easy question?
Posted: Jul 11, 1996 2:39 AM

Let's say you have a direct product of n copies of Z12, i.e.,
Z12_1 x z12_2... x Z12_n, whose elements are n-tuples of the
form: Y_1=(y_1,y_2,...y_n)
Note '_' means subscript. Is there a special name/notation for a set/
cycle of twelve n-tuples generated by evaluating:
Y_q+1=([y_1]+q, y_2,...y_n), where q ranges from 0 to 12,
& '+' is addition mod12 ; in other words, one entry in the n-tuple varys
through all possible values while the others stay constant.
Please forgive any awkward notation...I'm a musician woking on
mathematizing a model I've been developing in pitch class theory.
Thanks a bundle...or should I say fibre bundle?---Robby Roiter
P.S. Are there any decent basic discrete math educational free resources
on the net or do I have to get a book?