A clutter H is a hypergraph , with the added property that whenever and (i.e. no edge properly contains another).

This space properly contains BMO.

If is a flat, then the flats that cover (meaning that properly contains but there is no flat between and ), partition the elements of .

Where the application properly contains no such statement, the fee is £150.

"It has always been very difficult, in film and television and the various mediums that he's performed in, for the vessel to properly contain him," Mr. Thomas said.

Formally, this states that any filter that properly contains an ultrafilter has to be equal to the whole poset.

Irreducible ideal: An ideal is said to be irreducible if it cannot be written as an intersection of ideals which properly contain it.

Both properly contain the context-free languages and are properly contained in the family of quasirealtime languages.

It contains only properly encoded legal Unicode characters.

In mathematics, an ideal of a commutative ring is said to be irreducible if it cannot be written as a finite intersection of ideals properly containing it.