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KB Term:  Term intersection
English Word: 

  part

Sigma KEE - ReciprocalFn
ReciprocalFn

appearance as argument number 1
-------------------------


(instance ReciprocalFn UnaryFunction) Merge.kif 5179-5179 互相 is an instance of unary function
(instance ReciprocalFn TotalValuedRelation) Merge.kif 5181-5181 互相 is an instance of total valued relation
(domain ReciprocalFn 1 RealNumber) Merge.kif 5182-5182 The number 1 argument of 互相 is an instance of real number
(range ReciprocalFn RealNumber) Merge.kif 5183-5183 The range of 互相 is an instance of real number
(documentation ReciprocalFn EnglishLanguage "(ReciprocalFn ?NUMBER) is the reciprocal element of ?NUMBER with respect to the multiplication operator (MultiplicationFn), i.e. 1/ ?NUMBER. Not all numbers have a reciprocal element. For example the number 0 does not. If a number ?NUMBER has a reciprocal ?RECIP, then the product of ?NUMBER and ?RECIP will be 1, e.g. 3*1/ 3 = 1. The reciprocal of an element is equal to applying the ExponentiationFn function to the element to the power -1.") Merge.kif 5185-5192 The range of 互相 is an instance of real number

appearance as argument number 2
-------------------------


(termFormat EnglishLanguage ReciprocalFn "互相") domainEnglishFormat.kif 48957-48957
(termFormat ChineseTraditionalLanguage ReciprocalFn "互相") domainEnglishFormat.kif 48958-48958
(termFormat ChineseLanguage ReciprocalFn "倒数") domainEnglishFormat.kif 48959-48959
(format EnglishLanguage ReciprocalFn "the reciprocal of %1") english_format.kif 722-722

consequent
-------------------------


(=>
    (instance ?NUMBER Integer)
    (equal
        (ReciprocalFn ?NUMBER)
        (ExponentiationFn ?NUMBER -1)))
Merge.kif 5194-5196 If X is an instance of integer, then equal the reciprocal of X and X raised to the power -1
(=>
    (and
        (instance ?NUMBER Integer)
        (not
            (equal ?NUMBER 0)))
    (equal 1
        (MultiplicationFn ?NUMBER
            (ReciprocalFn ?NUMBER))))
Merge.kif 5198-5203 If X is an instance of integer and equal X and 0, then equal 1, X, and the reciprocal of X


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