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Sigma KEE - AdditionFn
AdditionFn

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


(documentation AdditionFn ChineseLanguage "如果 ?NUMBER1 和 ?NUMBER2 是 Number,那么 (AdditionFn ?NUMBER1 ?NUMBER2)就是这些数字的算术和。") Merge.kif 4851-4852
(documentation AdditionFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are Numbers, then (AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these numbers.") Merge.kif 4848-4850
(domain AdditionFn 1 Quantity) Merge.kif 4845-4845 The number 1 argument of addition is an instance of quantity
(domain AdditionFn 2 Quantity) Merge.kif 4846-4846 The number 2 argument of addition is an instance of quantity
(identityElement AdditionFn 0) Merge.kif 5373-5373 0 is an identity element of addition
(instance AdditionFn AssociativeFunction) Merge.kif 4841-4841 Addition is an instance of associative function
(instance AdditionFn BinaryFunction) Merge.kif 4840-4840 Addition is an instance of binary function
(instance AdditionFn CommutativeFunction) Merge.kif 4842-4842 Addition is an instance of commutative function
(instance AdditionFn TotalValuedRelation) Merge.kif 4844-4844 Addition is an instance of total valued relation
(range AdditionFn Quantity) Merge.kif 4847-4847 The range of addition is an instance of quantity

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


(format ChineseLanguage AdditionFn "(%*[+])") chinese_format.kif 682-682
(format EnglishLanguage AdditionFn "(%*[+])") english_format.kif 425-425
(format FrenchLanguage AdditionFn "(%*[+])") french_format.kif 414-414
(format ItalianLanguage AdditionFn "(%*[+]") relations-it.txt 20-20
(format PortugueseLanguage AdditionFn "(%*[+])") portuguese_format.kif 366-366
(format cz AdditionFn "(%*[+])") relations-cz.txt 423-423
(format de AdditionFn "(%*[+])") relations-de.txt 889-889
(format hi AdditionFn "(%*[+]") relations-hindi.txt 65-65
(format tg AdditionFn "(%*[+]") relations-cb.txt 54-54
(termFormat ChineseLanguage AdditionFn "加法函数") chinese_format.kif 683-683 "加法函数" is the printable form of addition in ChineseLanguage
(termFormat EnglishLanguage AdditionFn "addition") domainEnglishFormat.kif 1337-1337 "addition" is the printable form of addition in english language
(termFormat tg AdditionFn "tungkulin ng pagsasama") relations-tg.txt 57-57 "tungkulin ng pagsasama" is the printable form of addition in tg

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


(=>
    (and
        (instance ?Account CreditAccount)
        (accountHolder ?Account ?Agent)
        (principalAmount ?Account ?Principal)
        (agreementPeriod ?Account ?Period)
        (interestEarned ?Account ?Interest ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (holdsObligation
        (KappaFn ?Payment
            (transactionAmount ?Payment ?Total)) ?Agent))
FinancialOntology.kif 1166-1175
(=>
    (and
        (instance ?Account Loan)
        (borrower ?Account ?Agent)
        (principalAmount ?Account ?Principal)
        (agreementPeriod ?Account ?Period)
        (interestEarned ?Account ?Interest ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (holdsObligation
        (KappaFn ?Payment
            (transactionAmount ?Payment ?Total)) ?Agent))
FinancialOntology.kif 1215-1224
(=>
    (and
        (instance ?Bond ZeroCouponBond)
        (maturityDate
            (AccountFn ?Bond) ?Date)
        (possesses ?BondHolder ?Bond)
        (principalAmount
            (AccountFn ?Bond) ?Principal)
        (agreementPeriod
            (AccountFn ?Bond) ?Period)
        (interestEarned
            (AccountFn ?Bond) ?Interest ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (exists (?Payment)
        (and
            (instance ?Payment Payment)
            (destination ?Payment ?BondHolder)
            (origin ?Payment
                (CurrencyFn ?BondAccount))
            (transactionAmount ?Payment ?Total))))
FinancialOntology.kif 2264-2278
(=>
    (and
        (instance ?Deposit Deposit)
        (time ?Deposit ?TimeOfDeposit)
        (instance ?Account FinancialAccount)
        (destination ?Deposit
            (CurrencyFn ?Account))
        (transactionAmount ?Deposit ?Amount)
        (currentAccountBalance ?Account
            (ImmediatePastFn
                (WhenFn ?Deposit)) ?Balance1)
        (equal ?Balance2
            (AdditionFn ?Balance1 ?Amount)))
    (currentAccountBalance ?Account
        (ImmediateFutureFn
            (FutureFn ?Deposit)) ?Balance2))
FinancialOntology.kif 428-437
(=>
    (and
        (principalAmount ?Account ?Balance)
        (fixedInterestRate ?Account ?Rate)
        (compoundInterest ?Account ?Interest ?Period)
        (equal ?Rate-Decimal
            (DivisionFn ?Rate 100))
        (equal ?Add
            (AdditionFn 1 ?Rate-Decimal))
        (equal ?Exponent
            (ExponentiationFn ?Add
                (MagnitudeFn ?Period)))
        (equal ?Multiply
            (MultiplicationFn ?Exponent ?Balance)))
    (equal ?Interest
        (SubtractionFn ?Multiply ?Balance)))
FinancialOntology.kif 532-541

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


(<=>
    (average ?LIST1 ?AVERAGE)
    (exists (?LIST2)
        (and
            (equal
                (ListLengthFn ?LIST2)
                (ListLengthFn ?LIST1))
            (equal
                (ListOrderFn ?LIST2 1)
                (ListOrderFn ?LIST1 1))
            (forall (?ITEMFROM2)
                (=>
                    (inList ?ITEMFROM2 ?LIST2)
                    (exists (?POSITION ?POSITIONMINUSONE ?ITEMFROM1 ?PRIORFROM2)
                        (and
                            (greaterThan ?POSITION 1)
                            (lessThanOrEqualTo ?POSITION
                                (ListLengthFn ?LIST2))
                            (equal
                                (ListOrderFn ?LIST2 ?ITEMFROM2) ?POSITION)
                            (inList ?ITEMFROM1 ?LIST1)
                            (equal ?POSITION
                                (ListOrderFn ?LIST1 ?ITEMFROM1))
                            (inList ?PRIORFROM2 ?LIST2)
                            (equal ?POSITIONMINUSONE
                                (SubtractionFn ?POSITION 1))
                            (equal ?POSITIONMINUSONE
                                (ListOrderFn ?LIST2 ?PRIORFROM2))
                            (equal ?ITEMFROM2
                                (AdditionFn ?ITEMFROM1 ?PRIORFROM2))))))
            (equal ?LASTPLACE
                (ListLengthFn ?LIST2))
            (equal ?AVERAGE
                (DivisionFn
                    (ListOrderFn ?LIST2 ?LASTPLACE) ?LASTPLACE)))))
People.kif 285-306 A real number is an average of a list if and only if there exists another list such that length of the other list is equal to length of the list and 1th element of the other list is equal to 1th element of the list and for all a positive integer and a fourth positive integer is equal to length of the other list and the real number is equal to the fourth positive integerth element of the other list and the fourth positive integer
(<=>
    (equal
        (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (equal
        (AdditionFn
            (MultiplicationFn
                (FloorFn
                    (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
Merge.kif 5248-5250 An integer mod another integer is equal to a third integer if and only if (the largest integer less than or equal to the integer and the other integer and the other integer and the third integer) is equal to the integer
(=>
    (and
        (courseWRTMagneticNorth ?OBJ1 ?OBJ2 ?MAGDEGREE)
        (partlyLocated ?OBJ1 ?AREA)
        (partlyLocated ?OBJ2 ?AREA)
        (magneticVariation ?AREA ?DEGREE ?DIRECTION))
    (exists (?DIFFDEGREE ?TRUEDEGREE)
        (and
            (=>
                (and
                    (equal ?DIRECTION East)
                    (equal ?DIFFDEGREE
                        (AdditionFn ?MAGDEGREE ?DEGREE)))
                (courseWRTTrueNorth ?OBJ1 ?OBJ2 ?TRUEDEGREE))
            (=>
                (and
                    (equal ?DIRECTION West)
                    (equal ?DIFFDEGREE
                        (SubtractionFn ?MAGDEGREE ?DEGREE)))
                (courseWRTTrueNorth ?OBJ1 ?OBJ2 ?TRUEDEGREE)))))
Geography.kif 3619-3636
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (graphPart ?ARC1 ?PATH)
        (graphPart ?ARC2 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (arcWeight ?ARC2 ?NUMBER2)
        (forall (?ARC3)
            (=>
                (graphPart ?ARC3 ?PATH)
                (or
                    (equal ?ARC3 ?ARC1)
                    (equal ?ARC3 ?ARC2)))))
    (equal
        (PathWeightFn ?PATH)
        (AdditionFn ?NUMBER1 ?NUMBER2)))
Merge.kif 6100-6113
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (subGraph ?SUBPATH ?PATH)
        (graphPart ?ARC1 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (forall (?ARC2)
            (=>
                (graphPart ?ARC2 ?PATH)
                (or
                    (graphPart ?ARC2 ?SUBPATH)
                    (equal ?ARC2 ?ARC1)))))
    (equal ?SUM
        (AdditionFn
            (PathWeightFn ?SUBPATH) ?NUMBER1)))
Merge.kif 6086-6098
(=>
    (and
        (instance ?UNIT UnitOfArea)
        (landAreaOnly ?AREA
            (MeasureFn ?LAND ?UNIT))
        (waterAreaOnly ?AREA
            (MeasureFn ?WATER ?UNIT)))
    (totalArea ?AREA
        (MeasureFn
            (AdditionFn ?LAND ?WATER) ?UNIT)))
Geography.kif 559-564
(=>
    (and
        (totalLengthOfHighwaySystem ?AREA
            (MeasureFn ?LENGTH ?UNIT))
        (lengthOfPavedHighway ?AREA
            (MeasureFn ?LENGTH1 ?UNIT))
        (lengthOfUnpavedHighway ?AREA
            (MeasureFn ?LENGTH2 ?UNIT))
        (instance ?UNIT UnitOfLength))
    (totalLengthOfHighwaySystem ?AREA
        (MeasureFn
            (AdditionFn ?LENGTH1 ?LENGTH2) ?UNIT)))
Transportation.kif 477-484
(=>
    (and
        (totalLengthOfHighwaySystem ?AREA ?LENGTH)
        (lengthOfPavedHighway ?AREA ?LENGTH1)
        (lengthOfUnpavedHighway ?AREA ?LENGTH2))
    (equal ?LENGTH
        (AdditionFn ?LENGTH1 ?LENGTH2)))
Transportation.kif 470-475
(=>
    (conjugate ?COMPOUND1 ?COMPOUND2)
    (exists (?NUMBER1 ?NUMBER2)
        (and
            (protonNumber ?COMPOUND1 ?NUMBER1)
            (protonNumber ?COMPOUND2 ?NUMBER2)
            (or
                (equal ?NUMBER1
                    (AdditionFn ?NUMBER2 1))
                (equal ?NUMBER2
                    (AdditionFn ?NUMBER1 1))))))
Mid-level-ontology.kif 6189-6197
(=>
    (equal
        (RelativeTimeFn ?TIME1 CentralTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 6 HourDuration))))
Merge.kif 17502-17504
(=>
    (equal
        (RelativeTimeFn ?TIME1 EasternTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 5 HourDuration))))
Merge.kif 17511-17513
(=>
    (equal
        (RelativeTimeFn ?TIME1 MountainTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 7 HourDuration))))
Merge.kif 17493-17495
(=>
    (equal
        (RelativeTimeFn ?TIME1 PacificTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 8 HourDuration))))
Merge.kif 17484-17486

statement
-------------------------


(forall (?NUMBER)
    (equal
        (SuccessorFn ?NUMBER)
        (AdditionFn ?NUMBER 1)))
Merge.kif 4854-4855 For all an integer (the integer+1) is equal to (the integer and 1)


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