In number theory, the crank of an integer partition is a certain number associated with the partition. It was first introduced without a definition by Freeman Dyson, who hypothesised its existence in a 1944 paper.[1] Dyson gave a list of properties this yet-to-be-defined quantity should have. In 1988, George E. Andrews and Frank Garvan discovered a definition for the crank satisfying the properties hypothesized for it by Dyson.[2]
^Freeman J. Dyson (1944). "Some Guesses in The Theory of Partitions" (PDF). Eureka (Cambridge). 8: 10–15. ISBN 9780821805619.
^Cite error: The named reference def was invoked but never defined (see the help page).
and 22 Related for: Crank of a partition information
number theory, the crankof an integer partition is a certain number associated with the partition. It was first introduced without a definition by Freeman...
Look up crank or cranks in Wiktionary, the free dictionary. Crank may refer to: Crank (mechanism), in mechanical engineering, a bent portion of an axle...
the crankofapartition is a certain integer associated with the partition. Dyson first introduced the term without a definition in a 1944 paper in a journal...
theory and combinatorics, apartitionofa non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two...
particularly in the fields of number theory and combinatorics, the rank of an integer partition is a certain number associated with the partition. In fact at least...
fields of q-series and integer partitions. Most famously, in 1988, Garvan and Andrews discovered a definition of the crankofapartition. The crankofa partition...
formula is known as the Crank–Nicolson method. One can obtain u j n + 1 {\displaystyle u_{j}^{n+1}} from solving a system of linear equations: ( 2 + 2...
by pressing a button or switch, as opposed to using acrank handle. Packard had introduced hydraulic window lifts (power windows) in fall of 1940, for its...
three months of his sentence in Labour Order[clarification needed]. This consisted primarily of the treadmill or, as an alternative, the crank machine. This...
centered on a cyclic multi-barrel design which facilitated cooling and synchronized the firing-reloading sequence. As the handwheel is cranked, the barrels...
Pakistan (from 1956, East Pakistan). West Bengal became part of India, and a similar partitionof the Punjab province became West Punjab (later the Pakistani...
sequence by turning a knob, crank, or pushing down a lever. The first design was patented by Antoine Claudet in 1855, but the design of Alexander Beckers...
top of the case and were trapped inside a receptacle hold by a lever. The operator would turn acrank which would slowly lower the bottom wall of the...
UltraSPARC revival", The Register Timothy Prickett Morgan (22 July 2009), "Sun cranks clocks on Sparc T2 and T2+", The Register Ashlee Vance (13 April 2006),...
space provides a classical analog to the partition function (sum over states) known as the phase integral. Instead of summing the Boltzmann factor over discretely...
President, Cuki Alvarez Thoughts on CNMI Mixed Martial Arts (MMA)". Frank The Crank Camacho's Big Adventure. Archived from the original on February 23, 2019...
includes all forms of submissions, including leg locks, footlocks, kneebars, heel hooks, shoulder locks, wrist locks, neck cranks, body cranks, chokes and others...
demand for cotton. The increasing use of the spinning wheel, and the incorporation of the worm gear and crank handle into the roller cotton gin, led...
air-cooled V8 with acrank case made from elektron, a magnesium alloy. The gearbox was also made from elektron, and it was positioned in front of the engine and...
This is a list of notable software packages that implement the finite element method for solving partial differential equations. This table is contributed...
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