ArcCosineFn - Sigma Knowledge base Browser

appearance as argument number 1

(documentation ArcCosineFn EnglishLanguage "The inverse of CosineFn.")	Merge.kif 5262-5262
(domain ArcCosineFn 1 RealNumber)	Merge.kif 5260-5260	The number 1 argument of arccosine is an instance of real number
(instance ArcCosineFn TotalValuedRelation)	Merge.kif 5259-5259	Arccosine is an instance of total valued relation
(instance ArcCosineFn UnaryFunction)	Merge.kif 5258-5258	Arccosine is an instance of unary function
(range ArcCosineFn RealNumber)	Merge.kif 5261-5261	The range of arccosine is an instance of real number

appearance as argument number 2

(format EnglishLanguage ArcCosineFn "the arccosine of %1")	Merge.kif 5263-5263
(format ItalianLanguage ArcCosineFn "l' arcocoseno di %1")	relations-it.txt 24-24
(format de ArcCosineFn "der arcuskosinus von %1")	relations-de.txt 897-897
(format hi ArcCosineFn "%1 kaa aarakosaaina")	relations-hindi.txt 68-68
(format sv ArcCosineFn "arccosinus av %1")	relations-sv.txt 462-462
(format tg ArcCosineFn "ang arccosine ng %1")	relations-cb.txt 58-58
(termFormat EnglishLanguage ArcCosineFn "arccosine")	Merge.kif 5264-5264
(termFormat tg ArcCosineFn "arccosine")	relations-tg.txt 65-65

consequent

(=>
    (and
        (relativeAngle ?O1 ?O2 ?N)
        (physicalEnd ?E1 ?O1)
        (physicalEnd ?E2 ?O1)
        (not
            (equal ?E1 ?E2))
        (length ?O1
            (MeasureFn ?N1 ?U))
        (length ?O2
            (MeasureFn ?N2 ?U))
        (distance ?E1 ?E3
            (MeasureFn ?N3 ?U))
        (physicalEnd ?E3 ?O2)
        (physicalEnd ?E4 ?O2)
        (not
            (equal ?E3 ?E4))
        (not
            (meetsSpatially ?E1 ?E3)))
    (equal ?N
        (ArcCosineFn
            (DivisionFn
                (SubtractionFn
                    (SubtractionFn
                        (MultiplicationFn ?N3 ?N3)
                        (MultiplicationFn ?N1 ?N1))
                    (MultiplicationFn ?N2 ?N2))
                (MultiplicationFn 2.0
                    (MultiplicationFn ?N1 ?N2))))))

Merge.kif 17985-18010

If the relative angle between an object and another object is a real number and one end of the object is a third object and one end of the object is a fourth object and the third object is not equal to the fourth object and the length of the object is the real number1 an unit of measure(s) and the length of the other object is the real number2 the unit of measure(s) and the distance between the third object and a fifth object is the real number3 the unit of measure(s) and one end of the other object is the fifth object and one end of the other object is a sixth object and the fifth object is not equal to the sixth object and the third object doesn't meet the fifth object,
then the real number is equal to the arccosine of ((the real number3 and the real number3 and the real number1 and the real number1) and the real number2 and the real number2) and 2.0 and the real number1 and the real number2

statement

(equal
(ArcCosineFn
(CosineFn ?X)) ?X)

Merge.kif 5266-5266

The arccosine of the cosine of a real number is equal to the real number

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