"Brian M. Scott" <b.scott@[EMAIL PROTECTED]
> wrote in message
news:7pjsntiqk3fs$.4eaycx81ywvj$.dlg@[EMAIL PROTECTED]
> On Fri, 25 Apr 2008 18:52:36 +0100, Jack <jj@[EMAIL PROTECTED]
>
> wrote in <news:EToQj.60181$_h7.47121@[EMAIL PROTECTED]
> in
> alt.algebra.help:
>
>> Take x and y to be integers.
>> If we have a set P(m) comprising the first m primes beneath a value z,
>> and a
>> general subset J of of P(m), then I am constructing a matrix M_1 in
which
>> the members of J index the rows.
>
>> I am also constructing an array M_[x,y] comprising black cells and
white
>> cells. The number of black cells in a column is given by t(n,M_[x,y]).
>> Will
>> it be acceptable in a mathematical paper to devise a form of notation
>> referencing an interval [x,y] in such a way that the values of
>> t(n,M_[x,y])
>> over [x,y] conform precisely to the divisibility distribution that is
>> exhibited in an interval [x,y] M_1?
>
> I can't tell from this description just what you're trying
> to do.
>
Let a(J) be the product of all members of J.
I'm trying to construct an array in which the black cells do not
necessarily
conform to the distribution of occupied matrix components in the matrix
M_1. I am considering subintervals [x,y] in the interval that is the
product
of all members of J. But I am also wondering if I can devise a form of
notation in which I indicate that the distribution of black cells in my
array, for some [x,y], do indeed conform to the distribution found for
[x,y]
in M_1. Ideally I want to have an array in which all the black cells in
columns indexed by integers 0 to 2a(J) conform to the same distribution as
do the occupied matrix components M_1. But I also want there to be other
subintervals in the array such that this conformity does not apply. This
will mean I don't have to keep switching between a matrix and an array.
It's
just that I don't know whether that sort of thing is done.
With thanks.
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