Sentence examples for by a binary relation from inspiring English sources

This was the basic idea behind Peter Gärdenfors's proposal that contraction of beliefs should be ruled by a binary relation, epistemic entrenchment.

In this paper, we consider interaction between a user and a machine through a user-interface, where both the user and the machine are modeled by automata and the user-interface is represented by a binary relation.

The agents are located in a social network, represented by a binary relation → over P. The intended meaning of i → j is that agent i 'talks' to agent j, that is to say, agent i knows the threshold of agent j.

Note that by assuming that an access control state ε is given by a binary relation UP ⊆ U × P, we are not assuming permissions are directly assigned to users; rather, we assume only that one can calculate the relation UP from the access control state.

An overlapping class system can be defined by a binary relation α: V× V→{0, 1}, such that α xy =1 if both x and y belong at least once to a common class and 0 otherwise.

The coincidence point result follows immediately from Theorem 2.1 by taking a binary relation (mathcal {R}) given by begin{aligned} x,yin X:xmathcal {R}y Longleftrightarrow xle y. end{aligned} (quad square).

Put a binary relation on by (3.3).

Any subset of the cartesian product set (Ptimes P={(x,y)|x,yin P}) is called a binary relation, denoted by R. (a,bin P), (aRb) if and only if ((a, b in R) [23].

A binary relation '≤' is defined by x ≤ y if and only if x ∧ y = x and x ∨ y = y.

The class of measurable ⪯-preserving functions generates a binary relation on P, denoted by ⪯ g, as follows: given P, Q ∈ P, then P ⪯ g Q when ∫ f d P ≤ ∫ f d Q. for all measurable ⪯-preserving functions f for which both integrals exist.

Define a binary relation '≤' on D ( L ) by d 1 ≤ d 2 iff d 1 ∧ d 2 = d 1.