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KB:
SUMO
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Formal Language:
OWL
SUO-KIF
TPTP
traditionalLogic
KB Term:
Term intersection
English Word:
Any
Noun
Verb
Adjective
Adverb
ListSumFn
Sigma KEE - ListSumFn
ListSumFn
appearance as argument number 1
(
documentation
ListSumFn
EnglishLanguage
"The sum of all the numbers in a
List
.")
Merge.kif 3242-3242
(
domain
ListSumFn
1
List
)
Merge.kif 3240-3240
The number 1 argument of
sum of elements
is an
instance
of
list
(
instance
ListSumFn
UnaryFunction
)
Merge.kif 3239-3239
Sum of elements
is an
instance
of
unary function
(
range
ListSumFn
RealNumber
)
Merge.kif 3241-3241
The
range
of
sum of elements
is an instance of
real number
appearance as argument number 2
(
format
EnglishLanguage
ListSumFn
"the sum of %1")
Merge.kif 3243-3243
(
termFormat
EnglishLanguage
ListSumFn
"sum of elements")
Merge.kif 3244-3244
antecedent
(=>
(
and
(
equal
?A
(
ListSumFn
?L))
(
equal
1
(
ListLengthFn
?L)))
(
equal
?A
(
ListOrderFn
?L 1)))
Merge.kif 3252-3256
If
a real number
is
equal
to the
sum
of
a list
and 1 is
equal
to
length
of
the list
,
then
the real number
is
equal
to 1th
element
of
the list
(=>
(
and
(
equal
?A
(
ListSumFn
?L))
(
greaterThan
(
ListLengthFn
?L) 1))
(
equal
?A
(
AdditionFn
(
FirstFn
?L)
(
ListSumFn
(
SubListFn
2
(
ListLengthFn
?L) ?L)))))
Merge.kif 3258-3268
If
a real number
is
equal
to the
sum
of
a list
and
length
of
the list
is
greater
than 1,
then
the real number
is
equal
to (the
first
of
the list
and the
sum
of the sub-list from 2 to
length
of
the list
of
the list
)
consequent
(=>
(
and
(
amount
?S ?CO
(
MeasureFn
?N ?U))
(
instance
?SI ?S)
(
measure
?SI
(
MeasureFn
?N2 ?U))
(
part
?SI ?CO))
(
exists
(?L)
(
and
(
inList
(
MeasureFn
?N2 ?U) ?L)
(
equal
?L
(
AmountsFn
?S ?CO ?U))
(
equal
?N
(
ListSumFn
?L)))))
Merge.kif 7596-7611
If
amount
a kind of substance
,
a corpuscular object
and
a real number
an unit of mass
(s) and
a kind of substance
I is an
instance
of
the kind of substance
and the
measure
of
the kind of substance
I is
the real number
2
the unit of mass
(s) and
the kind of substance
I is a
part
of
the corpuscular object
,
then there exists
a list
such that
the real number
2
the unit of mass
(s) is a
member
of
the list
and
the list
is
equal
to
Amounts fn
the kind of substance
,
the corpuscular object
and
the unit of mass
and
the real number
is
equal
to the
sum
of
the list
(=>
(
and
(
equal
?A
(
AverageFn
?L))
(
greaterThan
(
ListLengthFn
?L) 0))
(
equal
?A
(
DivisionFn
(
ListSumFn
?L)
(
ListLengthFn
?L))))
Merge.kif 3277-3284
If
a real number
is
equal
to the
average
of the numbers in
a list
and
length
of
the list
is
greater
than 0,
then
the real number
is
equal
to the
sum
of
the list
and
length
of
the list
(=>
(
and
(
equal
?A
(
ListSumFn
?L))
(
greaterThan
(
ListLengthFn
?L) 1))
(
equal
?A
(
AdditionFn
(
FirstFn
?L)
(
ListSumFn
(
SubListFn
2
(
ListLengthFn
?L) ?L)))))
Merge.kif 3258-3268
If
a real number
is
equal
to the
sum
of
a list
and
length
of
the list
is
greater
than 1,
then
the real number
is
equal
to (the
first
of
the list
and the
sum
of the sub-list from 2 to
length
of
the list
of
the list
)
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