characteristic function

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characteristic function

n
1. (Mathematics) maths a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers
2. (Statistics) statistics a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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irreducible) [G.sub.n]-modules, and the simple [G.sub.n]-modules are indexed by partitions [lambda] of n, which correspond to the Schur functions [s.sub.[lambda]] via the Frobenius characteristic map. Hotta-Springer [11] and Garsia-Procesi [9] discovered that the cohomology ring of the Springer fiber indexed by a partition p of n is isomorphic to certain quotient ring of F[X], which admits a graded [G.sub.n]-module structure corresponding to the modified Hall-Littlewood symmetric function [[??].sub.[mu]] (x; t) via the Frobenius characteristic map.
To state our result, we first recall the two characteristic maps for representations of [H.sub.n](0) introduced by Krob and Thibon [14], which we call the quasisymmetric characteristic and the noncommutative characteristic.
Corresponding characteristic maps are programmed into the vehicle electronics.
Eight tables provide percentile equivalent scores, factor structure matrices, and item characteristic maps of the study data; and a 48-item list of references is included.

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