Generally, these equations do not provide a more convenient way of solving a particular problem.

These equations, entered in a business's general ledger, will provide the material that eventually makes up the foundation of a business's financial statements.

The following equations will provide conversion between S and T parameters for 2-port networks.

Maxwell's equations provide the theoretical foundation for sailing with light pressure.

Einstein's equation is constantly at work, providing an unseen hand that shapes the world into its familiar form.

All the other equations are all right but will not necessarily provide the simplest starting point for solving a given problem.

These equations provided him with a new criterion for determining the geometrical nature of the physical space.

These equations provide a predicted distance vs. intensity curve for various regions based on the known magnitude of the earthquake.

This means that the first equation can't provide a solution for the value for obtained in the second equation.

The Euler-Lotka equation provides a means of identifying the intrinsic growth rate.