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).

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 …

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 …

Jun 9, 2025 · I'm studying differential equations by reading book Differential equations with applications and historical notes and the book asks the question: Verify that the following …

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

May 20, 2020 · The modulus operator returns the magnitude of a complex number $\mathbb {C}$, while the cardinality of a set returns the number of elements a set contains. But the operations …

May 24, 2025 · What is the relationships between Jacobi Elliptic Functions and their modulus Ask Question Asked 5 months ago Modified 5 months ago

For complex numbers, the notion between "modulus" and "size" goes through the notion that the modulus is a norm, and norms and sizes are intuitively linked. For the split-complex numbers, …

Jan 24, 2025 · I am interested in finding a solution to a system of multivariate equations with varying prime power modulus. For example, finding solutions $ (a,b,t) \in (\mathbb {F}_ …

Oct 31, 2025 · Why do modulo graphs repeat when the input is shifted by a multiple of the modulus? Ask Question Asked 10 days ago Modified 10 days ago