cnanlime
valsi
cnanlime
type
fu'ivla
creator
time entered
Sun Apr 1 01:14:50 2018
English
Definition #70580 - Preferred
definition
x1 is the generalized weighted Lehmer mean of data x2 (completely specified ordered multiset/list of numbers) of Lehmer order x3 (either a single extended-real number xor an ordered pair of two extended-real numbers) with weights x4 (completely specified ordered multiset/list of numbers with the same cardinality as x2; defaults according to the Notes).
notes
Possibly dimensionful. If the cardinality of x2 is n, then the cardinality of x4 is also n and, moreover, the weights default to 1/n each. If x3 is a single extended-real number p, then MATH
$x_3 = (p, p-1)$
x3 = (p, p - 1) also. If MATH
$x_3 = (p, q)$
x3 = (p, q) validly for real p&q, then x1 =Sum MATH
$(w_i y_i^p, i$
(wiyip, i in Set MATH
$(1,...,n))/$
(1,..., n))/Sum MATH
$(w_i y_i^q, i$
(wiyiq, i in Set MATH
$(1,...,n))$
(1,..., n)), where yi is the ith term of x2 for all i, wi is the ith term of x4 for all i, and n is the cardinality of x2 (and thus x4). If x3 equals positive infinity (ma'uci'i), then the result x1 is the maximum of the data x2; if x3 equals negative infinity (ni'uci'i), then the result x1 is the minimum of the data x2.
gloss words
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time
Sun Apr 1 02:44:44 2018
Examples