| Line 7: | Line 7: | ||
i mod n Z = r | i mod n Z = r | ||
| + | |||
| + | ---- | ||
| + | |||
| + | |||
| + | Let a = i mod nZ, then a - i = nZ. This shows that Z divides a - i by n. | ||
| + | We can also look at the formula as a = nZ + i which tells us that a is a product of Z and the remainder of it. | ||
Revision as of 09:32, 14 September 2008
It's been a while since I've taken Discrete Math... How do you do i mod n Z?
I believe this is how you do it:
n = iq + r, where q is the quotient and r is the remainder.
i mod n Z = r
Let a = i mod nZ, then a - i = nZ. This shows that Z divides a - i by n.
We can also look at the formula as a = nZ + i which tells us that a is a product of Z and the remainder of it.
