| appearance as argument number 1 |
|
| (documentation RemainderFn ChineseLanguage "(RemainderFn ?NUMBER ?DIVISOR)是数字 ?NUMBER 除以数字 ?DIVISOR 的余数，商数的正负值与 ?DIVISOR 相同。") | chinese_format.kif 2267-2268 | |
| (documentation RemainderFn EnglishLanguage "(RemainderFn ?NUMBER ?DIVISOR) is the remainder of the number ?NUMBER divided by the number ?DIVISOR. The result has the same sign as ?DIVISOR.") | Merge.kif 5113-5115 | |
| (documentation RemainderFn JapaneseLanguage "(RemainderFn ?NUMBER ?DIVISOR) は、数値?NUMBER の残りを数値?DIVISORで割った値である。結果の符号は?DIVISOR と同じである。") | japanese_format.kif 932-933 | |
| (domain RemainderFn 1 Integer) | Merge.kif 5109-5109 | |
| (domain RemainderFn 2 Integer) | Merge.kif 5110-5110 | |
| (instance RemainderFn BinaryFunction) | Merge.kif 5106-5106 | |
| (instance RemainderFn PartialValuedRelation) | Merge.kif 5108-5108 | |
| (range RemainderFn Integer) | Merge.kif 5111-5111 |
| appearance as argument number 2 |
|
|
| (format ChineseLanguage RemainderFn "%1 模除 %2") | chinese_format.kif 722-722 | |
| (format EnglishLanguage RemainderFn "%1 mod %2") | english_format.kif 724-724 | |
| (format FrenchLanguage RemainderFn "%1 reste %2") | french_format.kif 434-434 | |
| (format ItalianLanguage RemainderFn "%1 mod %2") | relations-it.txt 252-252 | |
| (format JapaneseLanguage RemainderFn "%1 を %2 で割った剰余数") | japanese_format.kif 2151-2151 | |
| (format PortugueseLanguage RemainderFn "%1 mod %2") | portuguese_format.kif 386-386 | |
| (format cz RemainderFn "%1 mod %2") | relations-cz.txt 446-446 | |
| (format de RemainderFn "%1 betrag %2") | relations-de.txt 935-935 | |
| (format hi RemainderFn "%1 aura %2 kaa sheshhaphala") | relations-hindi.txt 289-289 | |
| (format ro RemainderFn "%1 mod%t{modulo} %2") | relations-ro.kif 456-456 | |
| (format sv RemainderFn "%1 modulo %2") | relations-sv.txt 496-496 | |
| (termFormat ChineseLanguage RemainderFn "余函数") | chinese_format.kif 723-723 | |
| (termFormat ChineseLanguage RemainderFn "剩余") | domainEnglishFormat.kif 49475-49475 | |
| (termFormat ChineseTraditionalLanguage RemainderFn "剩餘") | domainEnglishFormat.kif 49474-49474 | |
| (termFormat EnglishLanguage RemainderFn "remainder") | domainEnglishFormat.kif 49473-49473 | |
| (termFormat de RemainderFn "RestFn") | terms-de.txt 286-286 |
| antecedent |
|
|
| (=> (and (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) (not (equal ?NUMBER 0)) (not (equal ?NUMBER1 0)) (not (equal ?NUMBER2 0))) (equal (SignumFn ?NUMBER2) (SignumFn ?NUMBER))) |
Merge.kif 5143-5155 | |
| (=> (and (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER) (not (equal ?NUMBER2 0))) (equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1)) |
Merge.kif 5117-5128 |
| consequent |
|
|
| (=> (and (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) (not (equal ?NUMBER 0))) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?ELEMENT ?NUMBER) 0)))) |
Merge.kif 4874-4885 | |
| (=> (and (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) (not (equal ?NUMBER 0))) (not (exists (?GREATER) (and (greaterThan ?GREATER ?NUMBER) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?ELEMENT ?GREATER) 0))))))) |
Merge.kif 4887-4901 | |
| (=> (and (equal (LeastCommonMultipleFn @ROW) ?NUMBER) (not (equal ?NUMBER 0))) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?NUMBER ?ELEMENT) 0)))) |
Merge.kif 4959-4969 | |
| (=> (and (equal (LeastCommonMultipleFn @ROW) ?NUMBER) (not (equal ?NUMBER 0))) (not (exists (?LESS) (and (lessThan ?LESS ?NUMBER) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?LESS ?ELEMENT) 0))))))) |
Merge.kif 4971-4985 | |
| (=> (and (instance ?LEAP LeapYear) (instance ?LEAP (YearFn ?NUMBER))) (or (and (equal (RemainderFn ?NUMBER 4) 0) (not (equal (RemainderFn ?NUMBER 100) 0))) (equal (RemainderFn ?NUMBER 400) 0))) |
Merge.kif 9099-9107 | |
| (=> (and (not (equal ?NUMBER2 0)) (equal (AdditionFn (MultiplicationFn (FloorFn (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1)) (equal (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)) |
Merge.kif 5130-5141 | |
| (=> (instance ?NUMBER EvenInteger) (equal (RemainderFn ?NUMBER 2) 0)) |
Merge.kif 5157-5160 | |
| (=> (instance ?NUMBER OddInteger) (equal (RemainderFn ?NUMBER 2) 1)) |
Merge.kif 5162-5165 | |
| (=> (instance ?PRIME PrimeNumber) (forall (?NUMBER) (=> (and (equal (RemainderFn ?PRIME ?NUMBER) 0) (not (equal ?NUMBER 0))) (or (equal ?NUMBER 1) (equal ?NUMBER ?PRIME))))) |
Merge.kif 5167-5178 |
|
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