This theorem is formulated using Jacobi fields to measure the variation in geodesics.

Hypotheses will be formulated and tested using variables, such as cost savings, development times and profitability.

A similar, but more technical, approach to defining differentiable manifolds can be formulated using the notion of a ringed space.

Student grade paints have less pigment, and often are formulated using two or more less expensive pigments.

In the general case these facts may be formulated using algebraic manifolds.

Most linear adaptive filtering problems can be formulated using the block diagram above.

Sometimes negation elimination is formulated using a primitive absurdity sign .

These special versions are formulated using components not known to be an ingestion hazard.

Zipf's law is an empirical law formulated using mathematical statistics.

Some new coatings formulated using nanotechnology promise to create long-term surface protection.