Sentence examples for diagonal of a nonempty from inspiring English sources

Let Δ = { ( x, x ) | x ∈ X } be the diagonal of a nonempty set X.

We call a pair to be a uniform space which consists of a nonempty set together with an uniformity wherein the latter begins with a special kind of filter on whose all elements contain the diagonal.

Since the retract of a nonempty space is nonempty, PC S, T) is nonempty.

Consider the side and the diagonal of a square.

The diagonal of a grand crisis separates him from his personal and artistic past".

Traditional logic studied certain simple relationships between classes, namely being a subclass of and having a nonempty intersection with.

A cut on a weighted graph over vertices is a partition of V in a nonempty set S and its complementary.

A Constraint Satisfaction Problem is defined by a set of variables and a set of constraints, each variable has a nonempty domain of possible values.

The function diag constructs a diagonal matrix by selecting the diagonal elements of a matrix.

Each of these scenarios corresponds to a nonempty subset of K1 = {2, 3}.

A uniformity for a set is a nonempty family of subsets of satisfying the following conditions: each member of contains the diagonal, for each,, for each, there exists such that, if,, then, if and, then.