Crank

Crank may refer to:

Mechanism

Places

Popular culture

Crank of a partition

In number theory, the crank of a partition of an integer is a certain integer associated with the partition. The term was first introduced without a definition by Freeman Dyson in a 1944 paper published in Eureka, a journal published by the Mathematics Society of Cambridge University. Dyson then gave a list of properties this yet to be defined quantity should have. George E. Andrews and F.G. Garvan in 1988 discovered a definition for crank satisfying the properties hypothesized for it by Dyson.

Dyson's crank

Let n be a non-negative integer and let p(n) denote the number of partitions of n (p(0) is defined to be 1). Srinivasa Ramanujan in a paper published in 1918 stated and proved the following congruences for the partition function p(n), since known as Ramanujan congruences.

These congruences imply that partitions of numbers of the form 5n + 4 (respectively, of the forms 7n + 5 and 11n + 6 ) can be divided into 5 (respectively, 7 and 11) subclasses of equal size. The then known proofs of these congruences were based on the ideas of generating functions and they did not specify a method for the division of the partitions into subclasses of equal size.

Crank, Merseyside

Coordinates: 53°29′35″N 2°45′00″W / 53.493°N 2.750°W / 53.493; -2.750

Crank is a village near Rainford, Merseyside, England in the Metropolitan Borough of St Helens. Historically part of Lancashire, it is known locally for its ghost stories 'The White Rabbit of Crank' and 'Crank Caverns'.

The village had one public house - The Red Cat, which closed in August 2015.

See also

Tha (Javanese)

ꦛ is one of syllable in Javanese script that represent the sound /ʈɔ/, /ʈa/. It is transliterated to Latin as "tha", and sometimes in Indonesian orthography as "tho". It has another form (pasangan), which is ◌꧀ꦛ, but represented by a single Unicode code point, U+A99B.

Pasangan

It's pasangan form ◌꧀ꦛ, is located on the bottom side of the previous syllable.

Murda

The letter ꦛ doesn't have a murda form.

Glyphs

References

See also

Thai Airways International Flight 114

Thai Airways International Flight 114, a Thai Airways International Boeing 737-400 bound for Chiang Mai from Don Mueang Airport in Bangkok, was destroyed by an explosion of the center wing tank resulting from ignition of the flammable fuel/air mixture in the tank while the aircraft was parked prior to boarding on the ground on 3 March 2001. Officially, the source of the ignition energy for the explosion could not be determined with certainty, but the most likely source was an explosion originating at the center wing tank pump as a result of running the pump in the presence of metal shavings and a fuel/air mixture. One flight attendant died.

The passenger manifest included many government VIPs including Prime Minister Thaksin Shinawatra and his son, Panthongtae Shinawatra. No passengers had yet boarded the plane at the time of the explosion.

Assassination theory

Some surmise that this was a failed assassination attempt, as the explosion occurred before engine start, and originated under the seats which were to be occupied by the prime minister. Traces of Semtex, TNT, white phosphorus, PETN, and RDX were found in the wreckage.

Bass

Bass or Basses may refer to:

Fish

Music

Bass note

In music theory, the bass note of a chord or sonority is the lowest note played or notated. If there are multiple voices it is the note played or notated in the lowest voice. (the note furthest in the bass) While the bass note is often the root or fundamental of the chord, it does not have to be, and sometimes one of the other pitches of the chord will be found in the bass. See: inversion (music).

In pre-tonal theory (Early music), root notes were not considered and thus the bass was the most defining note of a sonority. See: thoroughbass. In pandiatonic chords the bass often does not determine the chord, as is always the case with a nonharmonic bass.