Examples of 'non-empty set' in a sentence

non-empty set - a mathematical concept indicating a collection of distinct elements with at least one object

A set is defined as a non-empty set including at least one element.

Informally it states that one can simultaneously choose an element from every non-empty set.

For them a semigroup is by definition a non-empty set together with an associative binary operation.

Every non-empty set of real numbers which is bounded from above has a supremum.

The crossed derivatives are then non-zero for all the kernels that have a non-empty set J m.

Every non-empty set is an injective object in Set.

A line segment is a connected, non-empty set.

Let R be a non-empty set with two binary associative composition laws satisfying the distributivity condition.

Now, it still remains to define what a non-empty set would be.

For every non-empty set S there is a binary operation defined on S that gives it a group structure.

Is the output alphabet ( a finite, non-empty set of symbols ).

Let X be a non-empty set and E be a set of parameters.

This axiom states that every non-empty set A contains an element y that is disjoint from A.

Every non-empty set of points ( with no duplicates ) has at least one centerpoint.

V is a finite non-empty set of vertices.

Meaning of "non-empty set"