Browsing Interface
: Welcome guest :
log in
[
Home
| 
Graph
|  ]
KB:
SUMO
Language:
ChineseLanguage
ChinesePinyinWriting
ChineseSimplifiedWriting
ChineseTraditionalLanguage
EnglishLanguage
FrenchLanguage
GermanLanguage
HerbaceousPlant
Hindi
ItalianLanguage
JapaneseLanguage
PortugueseLanguage
SpanishLanguage
SwedishLanguage
WoodyPlant
cb
cz
de
hi
ro
sv
tg
Formal Language:
OWL
SUO-KIF
TPTP
traditionalLogic
KB Term:
Term intersection
English Word:
Any
Noun
Verb
Adjective
Adverb
RemainderFn
Sigma KEE - RemainderFn
RemainderFn
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 5100-5102
(
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 5096-5096
The number 1 argument of
remainder
is an
instance
of
integer
(
domain
RemainderFn
2
Integer
)
Merge.kif 5097-5097
The number 2 argument of
remainder
is an
instance
of
integer
(
instance
RemainderFn
BinaryFunction
)
Merge.kif 5093-5093
Remainder
is an
instance
of
binary function
(
instance
RemainderFn
PartialValuedRelation
)
Merge.kif 5095-5095
Remainder
is an
instance
of
partial valued relation
(
range
RemainderFn
Integer
)
Merge.kif 5098-5098
The
range
of
remainder
is an instance of
integer
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 49442-49442
(
termFormat
ChineseTraditionalLanguage
RemainderFn
"剩餘")
domainEnglishFormat.kif 49441-49441
(
termFormat
EnglishLanguage
RemainderFn
"remainder")
domainEnglishFormat.kif 49440-49440
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 5130-5142
If
an integer
mod
another integer
is
equal
to
a third integer
and
the third integer
is not
equal
to 0 and
the integer
is not
equal
to 0 and
the other integer
is not
equal
to 0,
then the
sign
of
the other integer
is
equal
to the
sign
of
the third integer
(=>
(
and
(
equal
(
RemainderFn
?NUMBER1 ?NUMBER2) ?NUMBER)
(
not
(
equal
?NUMBER2 0)))
(
equal
(
AdditionFn
(
MultiplicationFn
(
FloorFn
(
DivisionFn
?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
Merge.kif 5104-5115
If
an integer
mod
another integer
is
equal
to
a third integer
and
the other integer
is not
equal
to 0,
then (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
consequent
(=>
(
and
(
equal
(
GreatestCommonDivisorFn
@ROW) ?NUMBER)
(
not
(
equal
?NUMBER 0)))
(
forall
(?ELEMENT)
(=>
(
inList
?ELEMENT
(
ListFn
@ROW))
(
equal
(
RemainderFn
?ELEMENT ?NUMBER) 0))))
Merge.kif 4861-4872
If the
greatest
common divisor of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then for all
another integer
if
the other integer
is a
member
of (@ROW),
then
the other integer
mod
the integer
is
equal
to 0
(=>
(
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 4874-4888
If the
greatest
common divisor of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then there doesn't exist
another integer
such that
the other integer
is
greater
than
the integer
and for all
a third integer
if
the third integer
is a
member
of (@ROW),
then
the third integer
mod
the other integer
is
equal
to 0
(=>
(
and
(
equal
(
LeastCommonMultipleFn
@ROW) ?NUMBER)
(
not
(
equal
?NUMBER 0)))
(
forall
(?ELEMENT)
(=>
(
inList
?ELEMENT
(
ListFn
@ROW))
(
equal
(
RemainderFn
?NUMBER ?ELEMENT) 0))))
Merge.kif 4946-4956
If the
least
common multiple of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then for all
another integer
if
the other integer
is a
member
of (@ROW),
then
the integer
mod
the other integer
is
equal
to 0
(=>
(
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 4958-4972
If the
least
common multiple of @ROW is
equal
to
an integer
and
the integer
is not
equal
to 0,
then there doesn't exist
another integer
such that
the other integer
is
less
than
the integer
and for all
a third integer
if
the third integer
is a
member
of (@ROW),
then
the other integer
mod
the third integer
is
equal
to 0
(=>
(
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 9001-9009
If
an entity
is an
instance
of
leap year
and
the entity
is an
instance
of the
year
an integer
,
then
the integer
mod
4 is
equal
to 0 and
the integer
mod
100 is not
equal
to 0 or
the integer
mod
400 is
equal
to 0
(=>
(
and
(
not
(
equal
?NUMBER2 0))
(
equal
(
AdditionFn
(
MultiplicationFn
(
FloorFn
(
DivisionFn
?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
(
equal
(
RemainderFn
?NUMBER1 ?NUMBER2) ?NUMBER))
Merge.kif 5117-5128
If
an integer
is not
equal
to 0 and (the
largest
integer less than or equal to
another integer
and
the integer
and
the integer
and
a third integer
) is
equal
to
the other integer
,
then
the other integer
mod
the integer
is
equal
to
the third integer
(=>
(
instance
?NUMBER
EvenInteger
)
(
equal
(
RemainderFn
?NUMBER 2) 0))
Merge.kif 5144-5147
If
an integer
is an
instance
of
even integer
,
then
the integer
mod
2 is
equal
to 0
(=>
(
instance
?NUMBER
OddInteger
)
(
equal
(
RemainderFn
?NUMBER 2) 1))
Merge.kif 5149-5152
If
an integer
is an
instance
of
odd integer
,
then
the integer
mod
2 is
equal
to 1
(=>
(
instance
?PRIME
PrimeNumber
)
(
forall
(?NUMBER)
(=>
(
and
(
equal
(
RemainderFn
?PRIME ?NUMBER) 0)
(
not
(
equal
?NUMBER 0)))
(
or
(
equal
?NUMBER 1)
(
equal
?NUMBER ?PRIME)))))
Merge.kif 5154-5165
If
an integer
is an
instance
of
prime number
,
then for all
another integer
if
the integer
mod
the other integer
is
equal
to 0 and
the other integer
is not
equal
to 0,
then
the other integer
is
equal
to 1 or
the other integer
is
equal
to
the integer
Show simplified definition (without tree view)
Show simplified definition (with tree view)
Show without tree
Sigma web home
Suggested Upper Merged Ontology (SUMO) web home
Sigma version 3.0 is
open source software
produced by
Articulate Software
and its partners