A set A is a subset of a set B if A is "contained" inside B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment. Examples: The set ...

Enriching over a set of subsets. Now another class of examples of monoidal categories to enrich over that Lawvere gives is the following. Suppose that X X is set. Let ℳ \mathcal{M} be some set of ...

For example, in the axioms, we only asked for the existence of preimages (inverse images) of one-element subsets of the codomain of a function. But we didn’t ask for the existence of preimages of ...

For example, the set of even numbers E = {0, 2, 4, 6, …} is a proper subset of the natural numbers ℕ = {0, 1, 2, …}. Intuitively, you might think that the set E is half the size of ...

Example 49.2: Best Subset Selection An alternative to stepwise selection of variables is best subset selection. The procedure uses the branch and bound algorithm of Furnival and Wilson (1974) to find ...