range (range)

Gives the range of a function. In other words, (range function class) means that all of the values assigned by function are instances of class.

Ontology

SUMO / STRUCTURAL-ONTOLOGY

Class(es)

class

inheritable relation

binary predicate
is instance of

asymmetric relation
is instance of

range

Coordinate term(s)

back fn cardinality fn front fn principal host fn probability fn skin fn arc weight attribute authors before or equal causes causes subclass citizen closed on completely fills connected contains information cooccur copy crosses date decreases likelihood developmental form disjoint distributes documentation duration earlier editor element employs equal equivalence relation on exploits expressed in language faces family relation fills finishes frequency graph part greater than greater than or equal to has purpose has skill holds during holds obligation holds right hole identity element immediate instance immediate subclass in list in scope of interest increases likelihood independent probability inhabits inhibits initial list instance inverse irreflexive on larger less than less than or equal to manner material measure meets temporally member modal attribute overlaps temporally parent partial ordering on partially fills partly located path length penetrates possesses precondition prevents proper part properly fills property publishes range subclass realization refers reflexive on related internal concept sibling smaller starts sub attribute sub collection sub graph sub list sub process sub proposition subclass subrelation subsumes content class subsumes content instance successor attribute successor attribute closure surface temporal part time total ordering on trichotomizing on uses valence version

Type restrictions

range(function, set or class)

Related WordNet synsets

range: the limits of the values a function can take; "the range of this function is the interval from 0 to 1"

Axioms (7)

If range of function is an instance of class and "function()" is equal to value, then value is an instance of class.

(=>
      (and
            (range ?FUNCTION ?CLASS)
            (equal
                  (AssignmentFn ?FUNCTION @ROW)
                  ?VALUE))
      (instance ?VALUE ?CLASS))

If rel1 is a subrelation of rel2 and range of rel2 is an instance of class1, then range of rel1 is an instance of class1.

(=>
      (and
            (subrelation ?REL1 ?REL2)
            (range ?REL2 ?CLASS1))
      (range ?REL1 ?CLASS1))

If range of rel is an instance of class1 and range of rel is an instance of class2, then class1 is a subclass of class2 or class2 is a subclass of class1.

(=>
      (and
            (range ?REL ?CLASS1)
            (range ?REL ?CLASS2))
      (or
            (subclass ?CLASS1 ?CLASS2)
            (subclass ?CLASS2 ?CLASS1)))

If range of rel1 is an instance of class1 and range of rel2 is an instance of class2 and class1 is disjoint from class2, then rel1 and rel2 are disjoint.

(=>
      (and
            (range ?REL1 ?CLASS1)
            (range ?REL2 ?CLASS2)
            (disjoint ?CLASS1 ?CLASS2))
      (disjointRelation ?REL1 ?REL2))

If function is an instance of unary constant functionquantity, then the number argument of function is an instance of constant quantity and range of function is an instance of constant quantity.

(=>
      (instance ?FUNCTION UnaryConstantFunctionQuantity)
      (and
            (domain ?FUNCTION 1 ConstantQuantity)
            (range ?FUNCTION ConstantQuantity)))

rel is an instance of binary relation
the number argument of rel is an instance of class1 or the number argument of rel is a subclass of class1
the number argument of rel is an instance of class2 or the number argument of rel is a subclass of class2 or range of rel is an instance of class2 or the values returned by rel are subclasses of class2
class1 is disjoint from class2

, then rel is an instance of asymmetric relation.

(=>
      (and
            (instance ?REL BinaryRelation)
            (or
                  (domain ?REL 1 ?CLASS1)
                  (domainSubclass ?REL 1 ?CLASS1))
            (or
                  (domain ?REL 2 ?CLASS2)
                  (domainSubclass ?REL 2 ?CLASS2)
                  (range ?REL ?CLASS2)
                  (rangeSubclass ?REL ?CLASS2))
            (disjoint ?CLASS1 ?CLASS2))
      (instance ?REL AsymmetricRelation))

If seq is an instance of sequence function and range of seq is an instance of class, then class is a subclass of integer.

(=>
      (and
            (instance ?SEQ SequenceFunction)
            (range ?SEQ ?CLASS))
      (subclass ?CLASS Integer))