I was reading paper and it had some expression modulo $1$, and modulo $\frac12$. Could someone explain me what this $2$ things even mean? I'm confused mainly by the fact of divisibility over rationals. Is it maybe something more related to congruence as a property of groups?
2026-05-16 00:47:56.1778892476
About fractional modulus
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Without any more context I can't be certain, but I don't see any reason it should be different from regular modulus: $$x\equiv y \pmod a \iff \exists n\in \Bbb Z: n(x-y) = a$$