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Sigma KEE - AbsoluteValueFn
AbsoluteValueFn

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


s__documentation(s__AbsoluteValueFn__m,s__ChineseLanguage,'"(AbsoluteValueFn ?NUMBER)的值时 RealNumber ?NUMBER 的绝对值。"')

chinese_format.kif 2224-2225
s__documentation(s__AbsoluteValueFn__m,s__EnglishLanguage,'"The value of (AbsoluteValueFn ?NUMBER) is the absolute value of the RealNumber ?NUMBER."')

Merge.kif 4592-4593
s__domain(s__AbsoluteValueFn__m,n__1,s__RealNumber)

Merge.kif 4589-4589 The number 1 argument of absolute value is an instance of real number
s__instance(s__TotalValuedRelation,s__SetOrClass)

s__instance(s__AbsoluteValueFn__m,s__TotalValuedRelation)

Merge.kif 4588-4588 Absolute value is an instance of total valued relation
s__instance(s__UnaryFunction,s__SetOrClass)

s__instance(s__AbsoluteValueFn__m,s__UnaryFunction)

Merge.kif 4587-4587 Absolute value is an instance of unary function
s__lexicon(s__AbsoluteValueFn__m,s__LexNoun,'"abs"')

engineering.kif 133-133
s__lexicon(s__AbsoluteValueFn__m,s__LexNoun,'"absolute value"')

engineering.kif 134-134
s__range(s__AbsoluteValueFn__m,s__NonnegativeRealNumber)

Merge.kif 4590-4590 The range of absolute value is an instance of nonnegative real number

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


s__format(s__ChineseLanguage,s__AbsoluteValueFn__m,'"%1 的绝对值"')

chinese_format.kif 688-688
s__format(s__EnglishLanguage,s__AbsoluteValueFn__m,'"the absolute value of %1"')

english_format.kif 693-693
s__termFormat(s__ChineseLanguage,s__AbsoluteValueFn__m,'"绝对值"')

domainEnglishFormat.kif 5163-5163
s__termFormat(s__ChineseLanguage,s__AbsoluteValueFn__m,'"绝对值函数"')

chinese_format.kif 689-689
s__termFormat(s__ChineseTraditionalLanguage,s__AbsoluteValueFn__m,'"絕對值"')

domainEnglishFormat.kif 5162-5162
s__termFormat(s__EnglishLanguage,s__AbsoluteValueFn__m,'"absolute value"')

domainEnglishFormat.kif 5161-5161

antecedent
-------------------------


( ! [V__NUMBER1,V__NUMBER2] :
   (((((s__AbsoluteValueFn(V__NUMBER1)
           = V__NUMBER2)
         &
         s__instance(V__NUMBER1,s__RealNumber) &
         s__instance(V__NUMBER2,s__RealNumber))
       =>
       ((s__instance(V__NUMBER1,s__NonnegativeRealNumber) &
           (V__NUMBER1 = V__NUMBER2))
         |
         (s__instance(V__NUMBER1,s__NegativeRealNumber) &
           (V__NUMBER2 = s__SubtractionFn(n__0,V__NUMBER1)))))
   &
   (((s__instance(V__NUMBER1,s__NonnegativeRealNumber) &
         (V__NUMBER1 = V__NUMBER2))
       |
       (s__instance(V__NUMBER1,s__NegativeRealNumber) &
         (V__NUMBER2 = s__SubtractionFn(n__0,V__NUMBER1))))
   =>
   ((s__AbsoluteValueFn(V__NUMBER1)
     = V__NUMBER2)
   &
   s__instance(V__NUMBER1,s__RealNumber) &
   s__instance(V__NUMBER2,s__RealNumber))))
)
)

Merge.kif 4595-4606 The absolute value of a real number is equal to a nonnegative real number and the real number is an instance of real number and the nonnegative real number is an instance of real number if and only if the real number is an instance of nonnegative real number and the real number is equal to the nonnegative real number or the real number is an instance of negative real number and the nonnegative real number is equal to (0 and the real number)


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