Jan 9, 2013 · I was wondering what would happen if we tried to do a modulo operand with complex numbers? For instance, what would be the answer (if any) to the next statement? $ x …

I completely understand the concept of modulus arithmetic and grasp all the main ideas. The only thing I don’t understand is equivalence classes. The formal definition is: Another interpretatio...

I know how to solve mod using division i.e. $$11 \\mod 7 = 4$$ For this I did a simple division and took its remainder: i.e. $$11 = 7 \\cdot 1 + 4$$ Where $11$ was dividend, $7$ divisor, $1$ …

Modular arithmetic (clock arithmetic) is a system of integer arithmetic based on the congruence relation a ≡ b (mod n) a ≡ b (mod n) which means that n n divides a − b a b.

Dec 3, 2024 · This is fairly common to use when you need to move back and forth between integer and modular arithmetic. In particular, programming languages usually have such an …

How do you reduce polynomials that are mod m? For example if I have 10x + 5 (mod 3) can I just reduce that to x + 2 (mod 3)?

Oct 24, 2013 · I have been stuck with a question on eliptic curves lately. I need to know whether perfect square mod n is different than a normal perfect square. And also is 3 a perfect square …

Aug 15, 2018 · I had a doubt regarding the ‘mod’ operator So far I thought that modulus referred to the remainder, for example $8 \\mod 6 = 2$ The same way, $6 \\mod 8 = 6$, since $8\\cdot …

Feb 16, 2015 · 4 You can think of modular arithmetic either as the numbers wrapping around, or what's more typical is to think of the numbers as remainders when divided by 5 (in this case). …

Mar 31, 2015 · Yes, this is certainly something one can talk about. But first, let's look at normal modular arithmetic. If m, n ∈Z m, n ∈ Z, you can talk about m (mod n) m (mod n). Often, we …