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...

function for a partition and conjectured the existence of a "crank" function for partitions that would provide a combinatorial proof of Ramanujan's congruences...

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 crank of a partition 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, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two...

fields of q-series and integer partitions. Most famously, in 1988, Garvan and Andrews discovered a definition of the crank of a partition. The crank of a partition...

Pentagonal number theorem Plane partition Quotition and partition Rank of a partition Crank of a partition Solid partition Young tableau Young's lattice...

combinatorics, the rank of an integer partition is a certain number associated with the partition. In fact at least two different definitions of rank appear in...

can be raised and lowered by pressing a button or switch, as opposed to using a crank handle. A small number of cars in the 1920s, such as the 1925 Flint...

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...

centered on a cyclic multi-barrel design which facilitated cooling and synchronized the firing-reloading sequence. As the handwheel is cranked, the barrels...

three months of his sentence in Labour Order[clarification needed]. This consisted primarily of the treadmill or, as an alternative, the crank machine. This...

Pakistan (from 1956, East Pakistan). West Bengal became part of India, and a similar partition of the Punjab province became West Punjab (later the Pakistani...

students from the university. Of the mathematical articles, there is a paper by Freeman Dyson where he defined the rank of a partition in an effort to prove combinatorially...

Pedersen, Erik (January 24, 2022). "Golden Reel Awards: Sound Editors Crank Up Nominations For 69th Annual Ceremony". Deadline Hollywood. Archived from...

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...

harvesting energy with hand-crank generators to support dismounted soldier missions, 2004-12-xx Glenn Elert. "Power of a Human Brain - The Physics Factbook"...

top of the case and were trapped inside a receptacle hold by a lever. The operator would turn a crank which would slowly lower the bottom wall of the...

percent of the expected catch when pulled up to the deck. The rest are shells and slime. This work is hard beyond words. A person not used to cranking up the...

This is a list of notable software packages that implement the finite element method for solving partial differential equations. This table is contributed...

Encyclopedia of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A064410 (Number of partitions of n with zero crank)". The On-Line...

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...

"Russia and the Menace of Unreality". The Atlantic. Retrieved 19 February 2022. Rudenko, Olga (30 April 2014). "Russia cranks out propaganda as militants...

when starter is being operated (when cranking); after that an electromagnetic valve bypass the pump. It uses a gear-type lift pump mounted on the passenger-side...

machines with gears, pulleys, cams, and cranks. Later, Mughal emperor Babur provided a description on the use of water wheels in the Delhi Sultanate. According...

sun visors, and crank-operated front vent windows. A contoured hooded instrument panel held deep-set gauges. A six-way power seat was a new option, as...

unleashes a new era (called a turning) lasting around 21 years, in which a new social, political, and economic climate (mood) exists. They are part of a larger...

"Sorry" (contains elements of "Me, Myself and I" and "Kitty Kat") "Bow Down" / "I Been On" "Drunk in Love" (contains elements of "Crank That", "Lilac Wine" and...

about her life" and that "she's gonna crank the best pop booty jams until a social worker cuts off her supply of hits." Slant Magazine writer Sal Cinquemani...

ISBN 978-0191675294. McCrank, Lawrence (1974). Restoration and reconquest in medieval Catalonia: the church and principality of Tarragona. University of Virginia....