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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.. Given two positive numbers a and n, a modulo n (often 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.
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
Integer multiplication respects the congruence classes, that is, a ≡ a' and b ≡ b' (mod n) implies ab ≡ a'b' (mod n). This implies that the multiplication is associative, commutative, and that the class of 1 is the unique multiplicative identity. Finally, given a, the multiplicative inverse of a modulo n is an integer x satisfying ax ≡ ...
The Cass identity model is one of the fundamental theories of LGBT identity development, developed in 1979 by Vivienne Cass. [ 1] This model was one of the first to treat LGBT people as normal in a heterosexist society and in a climate of homophobia and biphobia instead of treating homosexuality and bisexuality themselves as a problem.
The White racial identity attitude scale was developed by African American Psychologists, Janet Helms and Robert Carter in 1990. It was designed and consists of 50 items to help understand the attitudes reflecting the five-status model of the White racial identity development (contact, disintegration, reintegration/pseudo independence, immersion/emersion, and autonomy). [5]
Extended Euclidean algorithm also refers to a very similar algorithm for computing the polynomial greatest common divisor and the coefficients of Bézout's identity of two univariate polynomials . The extended Euclidean algorithm is particularly useful when a and b are coprime. With that provision, x is the modular multiplicative inverse of a ...
Additive inverse. In mathematics, the additive inverse of an element x, denoted -x[ 1], is the element that when added to x, yields the additive identity, 0 [ 2]. In the most familiar cases, this is the number 0, but it can also refer to a more generalized zero element . In elementary mathematics, the additive inverse is often referred to as ...
A cycle graph for a cyclic group is simply a circular graph, where the group order is equal to the number of nodes. A single generator defines the group as a directional path on the graph, and the inverse generator defines a backwards path. A trivial path (identity) can be drawn as a loop but is usually suppressed.