Simple Browser : Welcome guest : log in
Home |  Graph |  ]  KB:  Language:   

Formal Language: 




Sigma KEE - Relation
KB Term: 
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
relation
The Class of relations. There are three kinds of Relation: Predicate, Function, and List. Predicates and Functions both denote sets of ordered n-tuples. The difference between these two Classes is that Predicates cover formula-forming operators, while Functions cover term-forming operators. A List, on the other hand, is a particular ordered n-tuple.
Relationships      
Parents abstract Properties or qualities as distinguished from any particular embodiment of the properties/qualities in a physical medium. Instances of Abstract can be said to exist in the same sense as mathematical objects such as sets and relations, but they cannot exist at a particular place and time without some physical encoding or embodiment.
Children binary relationBinaryRelations are relations that are true only of pairs of things. BinaryRelations are represented as slots in frame systems.
 inheritable relationThe class of Relations whose properties can be inherited downward in the class hierarchy via the subrelation Predicate.
 intentional relationThe Class of Relations between an Agent and one or more Entities, where the Relation requires that the Agent have awareness of the Entity.
 listEvery List is a particular ordered n-tuple of items. Generally speaking, Lists are created by means of the ListFn Function, which takes any number of items as arguments and returns a List with the items in the same order. Anything, including other Lists, may be an item in a List. Note too that Lists are extensional - two lists that have the same items in the same order are identical. Note too that a List may contain no items. In that case, the List is the NullList.
 partial valued relationA Relation is a PartialValuedRelation just in case it is not a TotalValuedRelation, i.e. just in case assigning values to every argument position except the last one does not necessarily mean that there is a value assignment for the last argument position. Note that, if a Relation is both a PartialValuedRelation and a SingleValuedRelation, then it is a partial function.
 PPP based economic valuationPPPBasedEconomicValuation is a class of relations used to state international economic information in U.S. dollar amounts. The U.S. dollar amounts are derived from Purchasing Power Parity conversions of economic totals (e.g., GDP) given in local currency. This contrasts with a method of conversion based on currency exchange rates. The PPP method is used by the CIA World Fact Book for the purpose of presenting economic data for all countries covered. Their basis for PPP dollar price weights is the UN International Comparison Program (UNICP) and the work of Professors Robert Summers and Alan Heston of the University of Pennsylvania.
 predicateA Predicate is a sentence-forming Relation. Each tuple in the Relation is a finite, ordered sequence of objects. The fact that a particular tuple is an element of a Predicate is denoted by '(*predicate* arg_1 arg_2 .. arg_n)', where the arg_i are the objects so related. In the case of BinaryPredicates, the fact can be read as `arg_1 is *predicate* arg_2' or `a *predicate* of arg_1 is arg_2'.
 probability relationThe Class of Relations that permit assessment of the probability of an event or situation.
 quaternary relationQuaternaryRelations relate four items. The two subclasses of QuaternaryRelation are QuaternaryPredicate and TernaryFunction.
 quintary relationQuintaryRelations relate five items. The two subclasses of QuintaryRelation are QuintaryPredicate and QuaternaryFunction.
 relation extended to quantitiesA RelationExtendedToQuantities is a Relation that, when it is true on a sequence of arguments that are RealNumbers, it is also true on a sequence of instances of ConstantQuantity with those magnitudes in some unit of measure. For example, the lessThan relation is extended to quantities. This means that for all pairs of quantities ?QUANTITY1 and ?QUANTITY2, (lessThan ?QUANTITY1 ?QUANTITY2) if and only if, for some ?NUMBER1, ?NUMBER2, and ?UNIT, ?QUANTITY1 = (MeasureFn ?NUMBER1 ?UNIT), ?QUANTITY2 = (MeasureFn ?NUMBER2 ?UNIT), and (lessThan ?NUMBER1 ?NUMBER2), for all units ?UNIT on which ?QUANTITY1 and ?QUANTITY2 can be measured. Note that, when a RelationExtendedToQuantities is extended from RealNumbers to instances of ConstantQuantity, the ConstantQuantity must be measured along the same physical dimension.
 single valued relationA Relation is a SingleValuedRelation just in case an assignment of values to every argument position except the last one determines at most one assignment for the last argument position. Note that not all SingleValuedRelations are TotalValuedRelations.
 spatial relationThe Class of Relations that are spatial in a wide sense. This Class includes mereological relations and topological relations.
 temporal relationThe Class of temporal Relations. This Class includes notions of (temporal) topology of intervals, (temporal) schemata, and (temporal) extension.
 ternary relationTernaryRelations relate three items. The two subclasses of TernaryRelation are TernaryPredicate and BinaryFunction.
 total valued relationA Relation is a TotalValuedRelation just in case there exists an assignment for the last argument position of the Relation given any assignment of values to every argument position except the last one. Note that declaring a Relation to be both a TotalValuedRelation and a SingleValuedRelation means that it is a total function.
 variable arity relationThe Class of Relations that do not have a fixed number of arguments.


Show simplified definition with tree view
Show full definition (without tree view)
Show full definition (with tree view)


Sigma web home      Suggested Upper Merged Ontology (SUMO) web home
Sigma version 2.99c (>= 2017/11/20) is open source software produced by Articulate Software and its partners