This distinction is important, because many definitions by transfinite induction rely upon it.

In turn, this definition relies on the definition of a "type series."

But we need to know how the broad sense of meaning, on which the definition relies, is to be delimited.

The definition relies on a stack of relatively dense notation.

Our definition of actual malice relies upon this historical understanding.

Other definitions rely on "nonphysical coercion and control" as an equally effective means of asserting influence.

In its place, they offer several other self-referential sequences whose definitions rely only on mathematics rather than on the English language.

Ostensive definitions rely on an analogical or case-based reasoning by the subject they are intended to.

This definition relies on the notion of the cartesian product.

The economist's definition of public goods relies solely on the fact that everyone consumes the same quantity.