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Jan
31
comment If $a^2 + p^2 = b^2$ then $2(a+p+1)$ is a perfect square
How does $b-a=1$ follow from everything that precedes it?
Oct
6
awarded  Student
Oct
6
comment Modular Arithmetic order of operations
"... many abuses of the mod notation." That is absolutely the truth. If everyone would just use the notation correctly...
Oct
6
awarded  Scholar
Oct
6
awarded  Supporter
Oct
6
comment Modular Arithmetic order of operations
That iff statement is helpful, but you didn't quite get my question. Thanks for the answer anyway, though!
Oct
6
accepted Modular Arithmetic order of operations
Oct
6
comment Modular Arithmetic order of operations
Interesting, my LaTeX-obsessed teacher used $=$, not $\equiv$, and there is not a big space before the $($. I transposed it exactly as she posted it. This is helpful, though, thanks!
Oct
6
comment Modular Arithmetic order of operations
Well, in the event of $M = 27$ and $K = 26$, they could both produce a different result; the first would be $(27 + 26) (mod\ 26) = 53\ mod\ 26 = 1$, the second would be $27 + (26 (mod\ 26)) = 27\ mod\ 26 = 27$. So to me, both do kinda make sense, which is why I ask... if you are certain, you can post that as an answer.
Oct
6
asked Modular Arithmetic order of operations
Oct
6
awarded  Autobiographer