Z Modulo 0. For example, you're calculating 15 mod 4. 15 / 4 = 3.75.
15 251 Great Theoretical Ideas In Computer Science from slidetodoc.com Let a;b;n be integers with n > 0. We saw in theorem 3.1.3 that when we do arithmetic modulo some number n, the answer doesn't depend on which numbers we compute with, only that they are the same modulo n. It would only find rational roots that is numbers z which can be expressed as the quotient of two integers.
Then na 6= 0 ∀n ∈ z+.
In this sense, the subgroup 0 is the trivial subgroup, so modding out by 0 falls more along the lines of the first way of thinking i mentioned above : Theorem 2.1 for a positive integer n, and integers a;b;c, we have (1) a a (mod n) (congruence mod n is re exive), Given two positive numbers a and n, a modulo n (abbreviated as a mod n) is the remainder of the euclidean division of a by n, where a is the dividend and n is the divisor. In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the modulus of the operation).
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