Modulus is a term used for absolute value in complex analysis, and also a term used for the thing-being-divided-by in remainder arithmetic (actually called modular arithmetic).

May 16, 2015 · More generally, the idea is that two numbers are congruent if they are the same modulo a given number (or modulus) For example, as above, $7 \equiv 2 \mod 5$ where $5$ …

Dec 3, 2024 · 6 I recently came across the following notations in a computer forum for modulus operations. $$5\equiv1\text { (mod 2)}$$ $$5=1\text { (mod 2)}$$ $$5=1\text { mod 2 }$$ …

Dec 22, 2013 · @ApprenticeHacker mod is overloaded in math. There is use of mod as a binary operator (often in computational conexts) and the more theoretical uses of mod for …

Apr 13, 2017 · 1 Modulus can refer to a couple of different things depending on the context. There is modulus in the sense of modular arithmetic (the base number under consideration), there is …

For complex numbers, you can see how $-b^2i^2$ becomes $+b^2$. For complex numbers, the notion between "modulus" and "size" goes through the notion that the modulus is a norm, and …

Oct 11, 2017 · Is there a established notation for the remainder of integer division? For example, I want a function gives zero for non-negative even integers and one for non-negative odd …

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 23, 2012 · In math the meaning of 'mod' differs from its meaning in programming. The programmers primarily see 'mod' as a binary remainder operator that spews out an integer as …

The modulus operation is clumsy in general. What you really want to use is congruences (also known as modular arithmetic) instead, which are much better behaved and allow for much (but …