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valsi 
cnanydelta 
type 
lujvo 
creator 
krtisfranks 
time entered 
Tue Apr 24 20:28:25 2018 
Examples


English


Definition #70634
 Preferred
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definition 
x_{1} (li) is the (signed) difference between the average of all elements/data of x_{2} (completely specified ordered multiset/list) and single number x_{3} (li; default: infimum of x_{2} under ordering x_{6} if such is finite), using averaging function x_{4} (default: arithmetic average), weights x_{5} (completely specified ordered multiset/list with the same cardinality/length as x_{2}; default: according to notes), and inherited ordering x_{6} (default: standard ordering on the set of reals). 
notes 
Default for x_{5} is the same as the default for the weights of the given averaging function x_{4}, which for the arithmetic mean of a finite set is the ordered set of  x_{2} terms with each term equal identically to 1/ x_{2}, where " " represents the cardinality of its input (circumfixed). x_{6} is defined on a superset of x_{2} united with the singleton of x_{3}. The default for x_{6} is mrenspoi. For example: If
x_{2} = (1, 7) and all of the defaults hold, then
x_{1} = avg(1, 7)  min(1, 7) = 4  1 = 3; when all defaults hold and x_{2} is a bounded set, x_{1} is the difference between the arithmetic average of (or average of the uniform distribution on) x_{2} and the infimum of x_{2}. See also: "sigma".

gloss words 

created by 
krtisfranks 
vote information 
1

time 
Tue Apr 24 21:57:53 2018 



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