In mathematics the Watson quintuple product identity is an infinite product identity introduced by Watson (1929) and rediscovered by Bailey (1951) and...

Jacobi triple product identity, Watson's quintuple product identity, several identities found by Dyson (1972), and a 10-fold product identity found by Winquist...

solvable cases of the quintic equation. He introduced Watson's quintuple product identity. In 1919 Watson was elected a Fellow of the Royal Society, and...

. Structure constants Super Jacobi identity Three subgroups lemma (Hall–Witt identity) Quintuple product identity C. G. J. Jacobi (1862), §26, Theorem...

Hershel M. Farkas: Farkas, Hershel M.; Kra, Irwin (1999). "On the quintuple product identity". Proc. Amer. Math. Soc. 127 (3): 771–778. doi:10.1090/S0002-9939-99-04791-7...

abstraction of the sequence: single, couple/double, triple, quadruple, quintuple, sextuple, septuple, octuple, ..., n‑tuple, ..., where the prefixes are...

numbers. Euler's four-square identity implies that if Lagrange's four-square theorem holds for two numbers, it holds for the product of the two numbers. Since...

by 3 a multiple of 4 are multiplied, then their product will be composed of a square and the quintuple of another square. In other words, if p, q are of...

of the quadruple-wise intersections. Include the cardinalities of the quintuple-wise intersections. Continue, until the cardinality of the n-tuple-wise...

to a CFG, a probabilistic context-free grammar G can be defined by a quintuple: G = ( M , T , R , S , P ) {\displaystyle G=(M,T,R,S,P)} where M is the...

doi:10.2140/pjm.1984.113.303. ISSN 0030-8730. Michael, E.A. (1972). "A quintuple quotient quest". General Topology and Its Applications. 2 (2): 91–138...

In the 1830s, Cyrus McCormick invented a mechanical mower-reaper that quintupled the efficiency of wheat farming. Prior to the mower-reaper, wheat farming...

Consequently, between 1990 and 2000, the number of Brazilians in Japan quintupled, reaching 250,000 people. This law also allowed Japanese descendants to...

the Five Classics"), Xu Shen explains that the designation of Heaven is quintuple: The image is a good synthesis of the basic virtues of Chinese religion...

supplied with the tape on the beginning of which is written the string of quintuples separated by semicolons of some computing machine M, then U will compute...

Greece, Hungary, Poland, Portugal, and the United States. It was certified quintuple million by Korea Music Content Association (KMCA), and gold in France...

package of tax cuts into law. The legislation repealed the retirement tax, quintupled the Michigan Earned Income Tax Credit, and allocated up to $500 million...

Portugal, and 1,200 from France. The yearly rate of naturalization has quintupled over the 1990s and 2000s, from roughly 9,000 to 45,000. Relative to the...

transposition, and their inverses) in the category C {\displaystyle C} . The quintuple ( H , ∇ , η , Δ , ε ) {\displaystyle (H,\nabla ,\eta ,\Delta ,\varepsilon...

the Five Classics"), Xu Shen explains that the designation of Heaven is quintuple: Huáng Tiān (皇天) —"Yellow Heaven" or "Shining Heaven", when it is venerated...

29 April 2020. Bhagat Ram Talwar, later known as Silver, was the only quintuple spy in World War-II, working for the British, Russians, Germans, Italians...

M=\emptyset } ). An ( n + 1 ) {\displaystyle (n+1)} -dimensional cobordism is a quintuple ( W ; M , N , i , j ) {\displaystyle (W;M,N,i,j)} consisting of an ( n...

1870 to 302,000 in 1880. The improved acreage (land under cultivation) quintupled, rising from 5.0 million acres to 24.6 million acres during the same period...

real-estate web portal, to EQT AB, for a sum of EUR1.3 billion, achieving a quintuple return on its 2015 investment of EUR235 million. In Dec 2020, Azentio...

released as singles on August 22, 2018, and August 12, 2020, respectively; "Quintuple Smile" and "TWINKLE CiRCLE", both of which are theme songs for the game...

personnel and facilities. The faculty doubled and the graduate student body quintupled during the presidential terms of Karl Taylor Compton (1930–1948), James...

poverty in what is now considered the developed world. World GDP per person quintupled during the 20th century. In 1820, 75% of humanity lived on less than a...

number one album on the chart. In March 2020, the album was certified quintuple Platinum by the Recording Industry Association of America (RIAA) for shipment...

double, Daly City's population quadrupled, and Santa Clara's population quintupled. By the early 1960s, the Bay Area and the rest of Northern California...

1900. That year, Mint Director George E. Roberts called on Congress to quintuple the Mint's appropriation to purchase base metals for striking into nickels...