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addition fn (AdditionFn)

If number1 and number2 are Numbers, then (AdditionFn number1 number2) is the arithmetical sum of these numbers.

Ontology

SUMO / NUMERIC-FUNCTIONS

Class(es)

varga
is instance of
  inheritable relation  
is instance of
  dvi-aadhaary prakaarya  
is instance of
sahachaary prakaarya
is instance of
vinimaya-sambandhI prakaarya
is instance of
varga
is instance of
  inheritable relation  
is instance of
  matraaon kaa sanbandha vistaara  
is instance of

is instance of
  addition fn  

Coordinate term(s)

day fn  density fn  division fn  edition fn  exponentiation fn  graph path fn  hour fn  intersection fn  interval fn  kappa fn  list concatenate fn  list order fn  log fn  max fn  maximal weighted path fn  measure fn  mereological difference fn  mereological product fn  mereological sum fn  min fn  minimal weighted path fn  minute fn  month fn  multiplication fn  periodical issue fn  reciprocal fn  recurrent time interval fn  relative complement fn  relative time fn  remainder fn  round fn  second fn  series volume fn  speed fn  subtraction fn  temporal composition fn  time interval fn  union fn  where fn  equal  greater than  greater than or equal to  less than  less than or equal to 

Type restrictions

parimaaNa AdditionFn(parimaaNa, parimaaNa)

Related WordNet synsets

summation, addition, plus
the arithmetic operation of summing; calculating the sum of two or more numbers; "the summation of four and three gives seven"; "four plus three equals seven"
summation is kind of (all)...   summation is kind of...  
See more related synsets on a separate page.

Axioms (12)

Agar number is an instance of sanyukta anka, to yah kuch vaastavika anka real1,vaastavika anka real2 nahin, ki number is equal to "(real1+"real2*"the square root of "")".
(=>
      (instance ?NUMBER ComplexNumber)
      (exists
            (?REAL1 ?REAL2)
            (and
                  (instance ?REAL1 RealNumber)
                  (instance ?REAL2 RealNumber)
                  (equal
                        ?NUMBER
                        (AdditionFn
                              ?REAL1
                              (MultiplicationFn
                                    ?REAL2
                                    (SquareRootFn -1)))))))

list3 is equal to "the list composed of list1 and list2" agar hai sab-kuch number1,number2 ke lie hai, ki: agar number1 is less than or equal to "list1 kii lambaaaii" aur number2 is less than or equal to "list2 kii lambaaaii" aur number1 is an instance of dhanaatmaka pUrNaanka aur number2 is an instance of dhanaatmaka pUrNaanka, to "number1th element of list3" is equal to "number1th element of list1" aur ""("list1 kii lambaaaii"+number2)"th element of list3" is equal to "number2th element of list2".
(<=>
      (equal
            ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
      (forall
            (?NUMBER1 ?NUMBER2)
            (=>
                  (and
                        (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))))))

(=>
      (subList ?LIST1 ?LIST2)
      (exists
            (?NUMBER3)
            (forall
                  (?ITEM)
                  (=>
                        (inList ?ITEM ?LIST1)
                        (exists
                              (?NUMBER1 ?NUMBER2)
                              (and
                                    (equal
                                          (ListOrderFn ?LIST1 ?NUMBER1)
                                          ?ITEM)
                                    (equal
                                          (ListOrderFn ?LIST2 ?NUMBER2)
                                          ?ITEM)
                                    (equal
                                          ?NUMBER2
                                          (AdditionFn ?NUMBER1 ?NUMBER3))))))))

"(number+1)" is equal to "(number+)".
(equal
      (SuccessorFn ?NUMBER)
      (AdditionFn ?NUMBER 1))

"number1 mod number2" is equal to number agar hai "(""the largest integer less than or equal to "number1/number2""*number2"+number)" is equal to number1.
(<=>
      (equal
            (RemainderFn ?NUMBER1 ?NUMBER2)
            ?NUMBER)
      (equal
            (AdditionFn
                  (MultiplicationFn
                        (FloorFn
                              (DivisionFn ?NUMBER1 ?NUMBER2))
                        ?NUMBER2)
                  ?NUMBER)
            ?NUMBER1))

is an identity element of addition fn.
(identityElement AdditionFn 0)

(=>
      (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)))

(=>
      (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)))

Agar "relative time fn(time1,pacific time zone)" is equal to time2, to time2 is equal to "(time1+)".
(=>
      (equal
            (RelativeTimeFn ?TIME1 PacificTimeZone)
            ?TIME2)
      (equal
            ?TIME2
            (AdditionFn ?TIME1 8)))

Agar "relative time fn(time1,mountain time zone)" is equal to time2, to time2 is equal to "(time1+)".
(=>
      (equal
            (RelativeTimeFn ?TIME1 MountainTimeZone)
            ?TIME2)
      (equal
            ?TIME2
            (AdditionFn ?TIME1 7)))

Agar "relative time fn(time1,central time zone)" is equal to time2, to time2 is equal to "(time1+)".
(=>
      (equal
            (RelativeTimeFn ?TIME1 CentralTimeZone)
            ?TIME2)
      (equal
            ?TIME2
            (AdditionFn ?TIME1 6)))

Agar "relative time fn(time1,eastern time zone)" is equal to time2, to time2 is equal to "(time1+)".
(=>
      (equal
            (RelativeTimeFn ?TIME1 EasternTimeZone)
            ?TIME2)
      (equal
            ?TIME2
            (AdditionFn ?TIME1 5)))