Examples of using Binary relation in English and their translations into Russian
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The turnstile represents a binary relation.
A binary relation is a relation of degree two.
Keywords: integral index, ranking, matrix,symmetric binary relation.
Nor can we rely upon a binary relation to determine which of two points comes"first.
In the paper, the bases of identities of varieties generated by classes of groupoids of the binary relations are found.
A corollary of the axiom is that the binary relation of parallel lines is a serial relation. .
Unlike most structures in order theory,a cyclic order is not modeled as a binary relation, such as"a< b.
An association scheme is a collection of binary relations satisfying certain compatibility conditions.
We consider a functioning property of a system with a finite set of elements andwith different kinds of Boolean binary relations on it.
Directed graphs are structures with a single binary relation(adjacency) on the domain the vertex set.
As an operation on binary relations, the tensor product was introduced by Alfred North Whitehead and Bertrand Russell in their Principia Mathematica 1912.
Many of the theorems about partial cubes are based directly or indirectly upon a certain binary relation defined on the edges of the graph.
The converse relation of a binary relation is the relation that reverses the ordering of each pair of related objects.
The following image displays drawings of graphs corresponding to a non-transitive binary relation(on the left) and its transitive reduction on the right.
The binary relation⊆ defines a partial ordering relation on the set of all possible topologies on X. The finest topology on X is the discrete topology; this topology makes all subsets open.
This approach makes it possible to construct a lattice based on any binary relation or a mathematical description of a concept as an object-attribute pair.
Some authors use infix notation: a< b< c, with the understanding that this does not carry the usual meaning of a< b and b<c for some binary relation< Černy 1978, pp.
For Leroi-Gourhan, they are male symbols in binary relation to the cave itself, which represents the female principle discussed below.
The binary relation of nonadjacency in M is an equivalence relation, and its equivalence classes provide a k-coloring of G. However, this proof is more difficult to generalize than the compactness proof.
In the paper the bases of identities of varieties generated by classes of groupoids of the binary relations with diophantine operations are found.
For a matrix grammar G{\displaystyle G}, a binary relation⇒ G{\displaystyle\Rightarrow_{G}} is defined; also represented as⇒{\displaystyle\Rightarrow.
The finite basis of identities of the varieties of the ordered algebras generated by partially ordered semigroups of binary relations with cylindrifications operations is found in this paper.
More recently the implication has been phrased differently in terms of the binary relation expressed by parallel lines: In affine geometry the relation is taken to be an equivalence relation, which means that a line is considered to be parallel to itself.
We investigate the Green's relations L, R on the semigroups of isotone transformations of the partially ordered sets, and also the generalized Green's relations L∗,R∗ on the semigroup B(X) of binary relations on a set X.
On the left wall, together with more deer,the other five horses which apparently stand in binary relation to the cattle painted before the bend, which have been mentioned in the earlier description.
See e.g. Theorem 2.4 of Tutte(1960), showing that the vertex sets of bridges are path-connected, see Seymour& Weaver(1984) for a definition of bridges using chords and connected components, and also see Di Battista et al.(1998)for a definition of bridges using equivalence classes of the binary relation on edges.
We also construct the square matrices over arbitrary Boolean algebra which determine some Boolean binary relation and generate a cyclic semigroup with the maximum index and period.
The general definition is as follows: a cyclic order on a set X is a relation C⊂ X3, written, that satisfies the following axioms: Cyclicity: If then Asymmetry: If then not Transitivity: If and then Totality: If a, b, and c are distinct, then either or The axioms are named by analogy with the asymmetry, transitivity, andtotality axioms for a binary relation, which together define a strict linear order.
A concept or a category A is regarded as equivalent to another concept orcategory B if they satisfy the binary relation of"if and only if", or satisfy both the necessary and sufficient conditions for fulfilling each other.
The recommendations for behaviour of the partners, related by determined intertype relation are given,depending on what binary attributes this relation is described.