Search results
Results from the WOW.Com Content Network
Allen's interval algebra is a calculus for temporal reasoning that was introduced by James F. Allen in 1983. The calculus defines possible relations between time intervals and provides a composition table that can be used as a basis for reasoning about temporal descriptions of events.
As an example, "is less than" is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not between the values 3 and 1 nor between 4 and 4, that is, 3 < 1 and 4 < 4 both evaluate to false.
If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.
For premium support please call: 800-290-4726 more ways to reach us more ways to reach us
A relation algebra (L, ∧, ∨, −, 0, 1, •, I, ˘) is an algebraic structure equipped with the Boolean operations of conjunction x∧y, disjunction x∨y, and negation x −, the Boolean constants 0 and 1, the relational operations of composition x•y and converse x˘, and the relational constant I, such that these operations and constants satisfy certain equations constituting an ...
The two axioms describe two features of the connection relation, but not the characteristic feature of the connect relation. [2] For example, we can say that an object is less than 10 meters away from itself and that if object A is less than 10 meters away from object B, object B will be less than 10 meters away from object A.
This set includes pairs like [1,2], [1,3], and [2,17]. [9] Mathematical functions are a special type of relation in which one or several elements are uniquely associated with exactly one other element. [10] Relations have various characteristic features, like the number of relata they have and the direction in which they connect them. [11]
A stimulus can have different functions depending on contextual cues. However a stimulus function can change based on the arbitrary relations with that stimulus. [14] For example, this relational frame: A is more than B and B is more than C. For now the stimulus functions of these letters are rather neutral.