(keeping in mind some conventional symbols are here written out in words...)(adsbygoogle = window.adsbygoogle || []).push({});

For

n * X + M = y

where

n is in N,

X is in Z and nonnegative,

M is in Z and nonnegative and less than n,

and y is, of course, defined by n, X, and M

sequence

M_i = (n * X + i) [X = (0, 1, 2, ...)]

where i takes, in turn, each value of M for some n (or for each n, or when n is constant, how should I say this?). So when n = 3, then M = {0, 1, 2} and M_i denotes collectively the sequences

M_0 = ( n * X + 0 ) [X = ( 0, 1, 2, ... )]

M_1 = ( n * X + 1 ) [X = ( 0, 1, 2, ... )]

M_2 = ( n * X + 2 ) [X = ( 0, 1, 2, ... )],

i.e, there is a sequence for each value, i, that M takes.

Does a better way of saying this jump out at anyone?

Any help will be greatly appreciated, as I am working on my own and don't know how this is conventionally expressed.

Rachel

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# A better way to say

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