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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 ...
In mathematics, the result of the modulo operation is an equivalence class, and any member of the class may be chosen as representative; however, the usual representative is the least positive residue, the smallest non-negative integer that belongs to that class (i.e., the remainder of the Euclidean division ). [ 2]
t. e. A binary prefix is a unit prefix that indicates a multiple of a unit of measurement by an integer power of two. The most commonly used binary prefixes are kibi (symbol Ki, meaning 210 = 1024 ), mebi (Mi, 2 20 = 1 048 576 ), and gibi (Gi, 2 30 = 1 073 741 824 ). They are most often used in information technology as multipliers of bit and ...
Indeed, a is coprime to n if and only if gcd(a, n) = 1. Integers in the same congruence class a ≡ b (mod n) satisfy gcd(a, n) = gcd(b, n); hence one is coprime to n if and only if the other is. Thus the notion of congruence classes modulo n that are coprime to n is well-defined.
Theory of Knowledge (TOK) is a compulsory core subject of the International Baccalaureate Diploma Programme covering, for example, epistemological topics. [ 1] It is marked on a letter scale (A-E) and aims to "provide an opportunity for students to reflect on the nature of knowledge, and on how we know what we claim to know." [ 2]
Primes p for which there are no solutions to H k ≡ 0 (mod p) and H k ≡ −ω p (mod p) for 1 ≤ k ≤ p−2, where H k denotes the k-th harmonic number and ω p denotes the Wolstenholme quotient.
The constants listed here are known values of physical constants expressed in SI units; that is, physical quantities that are generally believed to be universal in nature and thus are independent of the unit system in which they are measured.
While not an SI-unit, the litre may be used with SI units. It is equivalent to (10 cm) 3 = (1 dm) 3 = 10 −3 m 3. Many non-SI units continue to be used in the scientific, technical, and commercial literature. Some units are deeply embedded in history and culture, and their use has not been entirely replaced by their SI alternatives.