Sentence examples similar to vacuous multiset from inspiring English sources

The empty multiset is denoted by empty.

That is, a relation contains a (possibly empty) multiset of tuples at any point in time and this multiset changes over time though insertions and deletions of tuples.

A sequence of multisets (mathcal {T}) may contain one or more empty multisets.

Yet it's vacuous stuff.

It's vacuous".

By and large the knowledge is vacuous.

This tax loophole is also intellectually vacuous.

The vacuous modern era?

That was vacuous.

How is that not completely vacuous?

It's easy but vacuous logic.