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Welsh, the son of actor Kenneth Welsh and Corinne Farago, [5] began Majical Cloudz as a collaborative open project in Halifax, Nova Scotia, in 2010. Welsh first collaborated with friend Matthew E. Duffy, releasing a self-titled cassette on Numbers Station, followed by an EP, Earth to a Friend/Mountain Eyes. They released their debut full-length ...
The multiplicative order of a number a modulo n is the order of a in the multiplicative group whose elements are the residues modulo n of the numbers coprime to n, and whose group operation is multiplication modulo n. This is the group of units of the ring Zn; it has φ (n) elements, φ being Euler's totient function, and is denoted as U (n) or ...
[1] For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with a and n both being integers, many computing systems now allow other types of numeric ...
– John Lennon, 1980 "Baby, You're a Rich Man" was the result of combining two unfinished songs written by Lennon and McCartney, in a similar fashion to "A Day in the Life" and "I've Got a Feeling". The working title, based on Lennon's verses, was "One of the Beautiful People", to which McCartney added the "Baby, you're a rich man" chorus. In a 1980 interview, Lennon described it as "two ...
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 ...
A covering system is called irredundant (or minimal) if all the residue classes are required to cover the integers. The first two examples are disjoint. The third example is distinct. A system (i.e., an unordered multi-set) of finitely many residue classes is called an -cover if it covers every integer at least times, and an exact -cover if it ...
Launched. March 5, 2001; 23 years ago (2001-03-05) Current status. online. SongMeanings is a music website that encourages users to discuss and comment on the underlying meanings and messages of individual songs. [1][2][3] As of May 2015, the website contains over 110,000 artists, 1,000,000 lyrics, 14,000 albums, and 530,000 members. [4]
Cubic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x 3 ≡ p (mod q) is solvable; the word "reciprocity" comes from the form of the main theorem, which states that if p and q are primary numbers in the ring of Eisenstein integers, both coprime to 3, the congruence x 3 ≡ p (mod q) is solvable if and only if ...