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Sigma KEE - VarianceAverageFn

VarianceAverageFn

appearance as argument number 1

(documentation VarianceAverageFn ChineseLanguage "这是用于定义 VarianceFn 的“辅助”函数。(VarianceAverageFn ?M ?L) 的意思是序列(List) ？L内每一个数值和平均值 ?M 之差的平方的总和。")	Weather.kif 2169-2170
(documentation VarianceAverageFn EnglishLanguage "A 'helper' function that supports the definition of VarianceFn. (VarianceAverageFn ?M ?L) means the sum of squared difference between each number and and the mean (?M) in the List ?L.")	Weather.kif 2167-2168
(domain VarianceAverageFn 1 Number)	Weather.kif 2171-2171	The number 1 argument of variance average function is an instance of number
(domain VarianceAverageFn 2 List)	Weather.kif 2172-2172	The number 2 argument of variance average function is an instance of list
(instance VarianceAverageFn BinaryFunction)	Weather.kif 2173-2173	Variance average function is an instance of binary function
(range VarianceAverageFn Number)	Weather.kif 2176-2176	The range of variance average function is an instance of number

appearance as argument number 2

(format EnglishLanguage VarianceAverageFn "VarianceAverageFn of %2 with the mean of %1")	Weather.kif 2175-2175
(termFormat ChineseLanguage VarianceAverageFn "方差均差函数")	domainEnglishFormat.kif 27859-27859
(termFormat EnglishLanguage VarianceAverageFn "variance average function")	domainEnglishFormat.kif 27858-27858

antecedent

(=> (and (equal ?VA (VarianceAverageFn ?M ?L)) (equal 1 (ListLengthFn ?L))) (equal ?VA (MultiplicationFn (SubtractionFn ?M (ListOrderFn ?L 1)) (SubtractionFn ?M (ListOrderFn ?L 1)))))	Weather.kif 2211-2222	If equal a real number and VarianceAverageFn of a list with the mean of another real number and equal 1 and length of the list, then equal the real number and (the other real number and 1th element of the list) and (the other real number and 1th element of the list)
(=> (and (equal ?VA (VarianceAverageFn ?M ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?VA (AdditionFn (VarianceAverageFn ?M (ListOrderFn ?L 1)) (VarianceAverageFn ?M (SubListFn 2 (ListLengthFn ?L) ?L)))))	Weather.kif 2178-2190	If equal a real number and VarianceAverageFn of a list with the mean of a number and length of the list is greater than 1, then equal the real number and (VarianceAverageFn of 1th element of the list with the mean of the number and VarianceAverageFn of the sub-list from 2 to length of the list of the list with the mean of the number)

consequent

(=> (and (equal ?V (VarianceFn ?L)) (equal ?M (AverageFn ?L))) (equal ?V (DivisionFn (VarianceAverageFn ?M ?L) (ListLengthFn ?L))))	Weather.kif 2200-2209	If equal a real number and The VarianceFn a list and equal another real number and the average of the numbers in the list, then equal the real number and VarianceAverageFn of the list with the mean of the other real number and length of the list
(=> (and (equal ?VA (VarianceAverageFn ?M ?L)) (greaterThan (ListLengthFn ?L) 1)) (equal ?VA (AdditionFn (VarianceAverageFn ?M (ListOrderFn ?L 1)) (VarianceAverageFn ?M (SubListFn 2 (ListLengthFn ?L) ?L)))))	Weather.kif 2178-2190	If equal a real number and VarianceAverageFn of a list with the mean of a number and length of the list is greater than 1, then equal the real number and (VarianceAverageFn of 1th element of the list with the mean of the number and VarianceAverageFn of the sub-list from 2 to length of the list of the list with the mean of the number)

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