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_2phi_1(a,q^(-n);c;q,q)=(a^n(c/a,q)_n)/((a;q)_n), where _2phi_1(a,b;c;q,z) is a q-hypergeometric function.
A q-analog of the Saalschütz theorem due to Jackson is given by where _3phi_2 is the q-hypergeometric function (Koepf 1998, p. 40; Schilling and Warnaar 1999).
The Cartesian product of a finite or infinite set of modules over a ring with only finitely many nonzero entries in each sequence.
A nonparametric alternative to the two-sample t-test.
A polynomial in which the sum of subscripts is the same in each term.
A sum over all cluster perimeters.
A generalization of the Wilcoxon rank sum test.
A double sum is a series having terms depending on two indices, sum_(i,j)b_(ij). (1) A finite double series can be written as a product of series ...
The differential forms on C^n decompose into forms of type (p,q), sometimes called (p,q)-forms. For example, on C, the exterior algebra decomposes into four types: ^ C = ^ ^0 ...
Any sum of a selection of Pi_ks, where Pi_k denotes a k-D polytope.
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