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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。") chinese_format.kif 2214-2215
(documentation AdditionFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are Numbers, then (AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these numbers.") Merge.kif 4710-4712
(documentation AdditionFn JapaneseLanguage "?NUMBER1 と ?NUMBER2 が Number の場合、 (AdditionFn ?NUMBER1 ?NUMBER2) はこれらの数値の算術合計である。") japanese_format.kif 878-879
(domain AdditionFn 1 RealNumber) Merge.kif 4706-4706 The number 1 argument of addition is an instance of real number
(domain AdditionFn 2 RealNumber) Merge.kif 4707-4707 The number 2 argument of addition is an instance of real number
(identityElement AdditionFn 0) Merge.kif 5289-5289 0 is an identity element of addition
(instance AdditionFn AssociativeFunction) Merge.kif 4702-4702 Addition is an instance of associative function
(instance AdditionFn BinaryFunction) Merge.kif 4701-4701 Addition is an instance of binary function
(instance AdditionFn CommutativeFunction) Merge.kif 4703-4703 Addition is an instance of commutative function
(instance AdditionFn TotalValuedRelation) Merge.kif 4705-4705 Addition is an instance of total valued relation
(range AdditionFn RealNumber) Merge.kif 4708-4708 The range of addition is an instance of real number

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


(format ChineseLanguage AdditionFn "(%*[+])") chinese_format.kif 682-682
(format EnglishLanguage AdditionFn "(%*[+])") english_format.kif 684-684
(format FrenchLanguage AdditionFn "(%*[+])") french_format.kif 414-414
(format ItalianLanguage AdditionFn "(%*[+]") relations-it.txt 20-20
(format JapaneseLanguage AdditionFn "(%*[+])") japanese_format.kif 2131-2131
(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 ro AdditionFn "(%*[+])") relations-ro.kif 436-436
(format sv AdditionFn "(%*[+])") relations-sv.txt 458-458
(format tg AdditionFn "(%*[+]") relations-cb.txt 54-54
(termFormat ChineseLanguage AdditionFn "加成") domainEnglishFormat.kif 5427-5427
(termFormat ChineseLanguage AdditionFn "加法函数") chinese_format.kif 683-683
(termFormat ChineseTraditionalLanguage AdditionFn "加成") domainEnglishFormat.kif 5426-5426
(termFormat EnglishLanguage AdditionFn "addition") domainEnglishFormat.kif 5425-5425
(termFormat de AdditionFn "AdditionFn") terms-de.txt 263-263
(termFormat tg AdditionFn "tungkulin ng pagsasama") relations-tg.txt 57-57

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


(=>
    (and
        (equal ?OUT
            (ReverseFn ?IN))
        (equal ?LEN
            (StringLengthFn ?IN))
        (greaterThan ?LEN 1)
        (greaterThan ?N 0)
        (lessThan ?N ?LEN)
        (equal ?PIVOT
            (CeilingFn
                (DivisionFn
                    (SubtractionFn ?LEN 1) 2)))
        (equal ?NEW
            (AdditionFn
                (SubtractionFn ?PIVOT ?N) ?PIVOT))
        (equal ?S
            (SubstringFn ?IN ?N
                (AdditionFn 1 ?N))))
    (equal ?S
        (SubstringFn ?OUT ?NEW
            (AdditionFn 1 ?NEW))))
Media.kif 3050-3071
(=>
    (and
        (holdsDuring ?T
            (attribute ?F Menopausal))
        (birthdate ?F ?B)
        (instance ?B
            (DayFn ?D
                (MonthFn ?M
                    (YearFn ?Y))))
        (equal ?A1
            (AdditionFn 49 ?Y))
        (equal ?A2
            (AdditionFn 52 ?Y))
        (equal ?START
            (BeginFn ?T)))
    (modalAttribute
        (and
            (greaterThan ?START ?A1)
            (greaterThan ?A2 ?START)) Likely))
Mid-level-ontology.kif 25035-25051
(=>
    (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 1238-1247
(=>
    (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 1287-1296
(=>
    (and
        (instance ?Bond ZeroCouponBond)
        (maturityDate
            (AccountFn ?Bond) ?Date)
        (possesses ?BondHolder ?Bond)
        (principalAmount
            (AccountFn ?Bond)
            (MeasureFn ?Principal ?CUNIT))
        (agreementPeriod
            (AccountFn ?Bond) ?Period)
        (interestEarned
            (AccountFn ?Bond)
            (MeasureFn ?Interest ?CUNIT) ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (exists (?Payment)
        (and
            (instance ?Payment Payment)
            (destination ?Payment ?BondHolder)
            (origin ?Payment
                (AccountFn ?Bond))
            (transactionAmount ?Payment
                (MeasureFn ?Total ?CUNIT)))))
FinancialOntology.kif 2347-2369
(=>
    (and
        (instance ?Deposit Deposit)
        (instance ?Account FinancialAccount)
        (destination ?Deposit
            (CurrencyFn ?Account))
        (transactionAmount ?Deposit
            (MeasureFn ?Amount ?CUNIT))
        (currentAccountBalance ?Account
            (ImmediatePastFn
                (WhenFn ?Deposit))
            (MeasureFn ?Balance1 ?CUNIT))
        (equal ?Balance2
            (AdditionFn ?Balance1 ?Amount)))
    (currentAccountBalance ?Account
        (ImmediateFutureFn
            (FutureFn ?Deposit))
        (MeasureFn ?Balance2 ?CUNIT)))
FinancialOntology.kif 436-453
(=>
    (and
        (instance ?LIST ConsecutiveTimeIntervalList)
        (equal ?T1
            (ListOrderFn ?LIST ?N))
        (equal ?T2
            (ListOrderFn ?LIST
                (AdditionFn ?N 1))))
    (equal
        (BeginFn ?T2)
        (EndFn ?T1)))
Weather.kif 1917-1926
(=>
    (and
        (not
            (equal ?NUMBER2 0))
        (equal
            (AdditionFn
                (MultiplicationFn
                    (FloorFn
                        (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
    (equal
        (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER))
Merge.kif 5111-5122

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


(<=>
    (average ?LIST1 ?AVERAGE)
    (exists (?LIST2 ?LASTPLACE)
        (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 272-293 A real number is an average of a list if and only if there exist another list and a positive integer 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 another positive integer and the positive integer is equal to length of the other list and the real number is equal to the positive integerth element of the other list and the positive integer
(=>
    (and
        (arcLength ?SEMI
            (MeasureFn ?L ?U))
        (equal ?SEMI SemicircularArc))
    (exists (?CIR ?C)
        (and
            (equal ?CIR Circle)
            (geometricPart ?SEMI ?CIR)
            (circumference ?CIR
                (MeasureFn ?C ?U))
            (equal ?C
                (AdditionFn ?L ?L)))))
Mid-level-ontology.kif 5312-5322
(=>
    (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 5984-5997
(=>
    (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 5970-5982
(=>
    (and
        (equal
            (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
        (not
            (equal ?NUMBER2 0)))
    (equal
        (AdditionFn
            (MultiplicationFn
                (FloorFn
                    (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
Merge.kif 5098-5109
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))
Merge.kif 3253-3263
(=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList))
        (lessThanOrEqualTo ?NUMBER1
            (ListLengthFn ?LIST1))
        (lessThanOrEqualTo ?NUMBER2
            (ListLengthFn ?LIST2))
        (instance ?NUMBER1 PositiveInteger)
        (instance ?NUMBER2 PositiveInteger))
    (and
        (equal
            (ListOrderFn ?LIST3 ?NUMBER1)
            (ListOrderFn ?LIST1 ?NUMBER1))
        (equal
            (ListOrderFn ?LIST3
                (AdditionFn
                    (ListLengthFn ?LIST1) ?NUMBER2))
            (ListOrderFn ?LIST2 ?NUMBER2))))
Merge.kif 3078-3097
(=>
    (and
        (equal ?OUT
            (ReverseFn ?IN))
        (equal ?LEN
            (StringLengthFn ?IN))
        (greaterThan ?LEN 1)
        (greaterThan ?N 0)
        (lessThan ?N ?LEN)
        (equal ?PIVOT
            (CeilingFn
                (DivisionFn
                    (SubtractionFn ?LEN 1) 2)))
        (equal ?NEW
            (AdditionFn
                (SubtractionFn ?PIVOT ?N) ?PIVOT))
        (equal ?S
            (SubstringFn ?IN ?N
                (AdditionFn 1 ?N))))
    (equal ?S
        (SubstringFn ?OUT ?NEW
            (AdditionFn 1 ?NEW))))
Media.kif 3050-3071
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (greaterThan
            (SubtractionFn ?E ?S) 1))
    (equal ?R
        (ListConcatenateFn
            (ListFn
                (ListOrderFn ?L ?S))
            (SubListFn
                (AdditionFn 1 ?S) ?E ?L))))
Merge.kif 3185-3197
(=>
    (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 1436-1448
(=>
    (and
        (instance ?AREA GeographicArea)
        (objectGeographicCoordinates ?AREA ?LAT ?LONG)
        (equal
            (MeasureFn ?DEG AngularDegree)
            (MagneticDeclinationFn ?LAT ?LONG)))
    (exists (?MN)
        (and
            (headingWRTMagneticNorth ?AREA
                (MeasureFn ?MN AngularDegree))
            (headingWRTTrueNorth ?AREA
                (MeasureFn
                    (AdditionFn ?MN ?DEG) AngularDegree)))))
Geography.kif 3780-3792
(=>
    (and
        (instance ?M Mixture)
        (instance ?Z UnitOfMeasure)
        (mixtureRatio ?A ?B ?X ?Y ?Z)
        (measure ?M
            (MeasureFn ?T ?Z))
        (part ?A ?M)
        (part ?B ?M)
        (measure ?A
            (MeasureFn ?X ?Z))
        (measure ?B
            (MeasureFn ?Y ?Z)))
    (equal ?T
        (AdditionFn ?X ?Y)))
Food.kif 1248-1262
(=>
    (and
        (instance ?MIT BarMitzvah)
        (patient ?MIT ?X)
        (instance ?X Boy)
        (member ?X ?GROUP)
        (instance ?GROUP Judaism)
        (birthdate ?X ?DAY)
        (instance ?DAY
            (DayFn ?D
                (MonthFn ?M
                    (YearFn ?Y)))))
    (exists (?Y13 ?BD13)
        (and
            (instance ?Y13 Integer)
            (equal ?Y13
                (AdditionFn ?Y 13))
            (instance ?BD13
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y13))))
            (equal
                (WhenFn ?MIT)
                (ImmediateFutureFn ?BD13)))))
Biography.kif 69-85
(=>
    (and
        (instance ?MIT BatMitzvah)
        (patient ?MIT ?X)
        (instance ?X Girl)
        (member ?X ?GROUP)
        (instance ?GROUP Judaism)
        (birthdate ?X ?DAY)
        (instance ?DAY
            (DayFn ?D
                (MonthFn ?M
                    (YearFn ?Y)))))
    (exists (?Y13 ?BD13)
        (and
            (instance ?Y13 Integer)
            (equal ?Y13
                (AdditionFn ?Y 13))
            (instance ?BD13
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y13))))
            (equal
                (WhenFn ?MIT)
                (ImmediateFutureFn ?BD13)))))
Biography.kif 99-115
(=>
    (and
        (instance ?UNIT UnitOfArea)
        (landAreaOnly ?AREA
            (MeasureFn ?LAND ?UNIT))
        (waterAreaOnly ?AREA
            (MeasureFn ?WATER ?UNIT)))
    (totalArea ?AREA
        (MeasureFn
            (AdditionFn ?LAND ?WATER) ?UNIT)))
Geography.kif 555-560
(=>
    (and
        (instance ?UTC
            (HourFn ?H1
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (instance ?CST
            (HourFn ?H2
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (equal
            (RelativeTimeFn ?UTC CentralTimeZone) ?CST))
    (equal ?H2
        (AdditionFn ?H1 6)))
Merge.kif 17302-17308
(=>
    (and
        (instance ?UTC
            (HourFn ?H1
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (instance ?EST
            (HourFn ?H2
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (equal
            (RelativeTimeFn ?UTC EasternTimeZone) ?EST))
    (equal ?H2
        (AdditionFn ?H1 5)))
Merge.kif 17314-17320
(=>
    (and
        (instance ?UTC
            (HourFn ?H1
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (instance ?MST
            (HourFn ?H2
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (equal
            (RelativeTimeFn ?UTC MountainTimeZone) ?MST))
    (equal ?H2
        (AdditionFn ?H1 7)))
Merge.kif 17290-17296
(=>
    (and
        (instance ?UTC
            (HourFn ?H1
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (instance ?PST
            (HourFn ?H2
                (DayFn ?D
                    (MonthFn ?M
                        (YearFn ?Y)))))
        (equal
            (RelativeTimeFn ?UTC PacificTimeZone) ?PST))
    (equal ?H2
        (AdditionFn ?H1 8)))
Merge.kif 17278-17284
(=>
    (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 510-517
(=>
    (and
        (totalLengthOfHighwaySystem ?AREA
            (MeasureFn ?LENGTH ?UNIT))
        (lengthOfPavedHighway ?AREA
            (MeasureFn ?LENGTH1 ?UNIT))
        (lengthOfUnpavedHighway ?AREA
            (MeasureFn ?LENGTH2 ?UNIT)))
    (equal ?LENGTH
        (AdditionFn ?LENGTH1 ?LENGTH2)))
Transportation.kif 503-508
(=>
    (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 7050-7058

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


(forall (?NUMBER)
    (equal
        (SuccessorFn ?NUMBER)
        (AdditionFn ?NUMBER 1)))
Merge.kif 4714-4715 For all an integer (the integer+1) is equal to (the integer and 1)


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