Altogether, these equations depend upon 15 parameters.

The equations for the individual components depend on the particular scoring rule.

The coupled operator equations thus obtained depend on nuclear coordinates only.

The torsion itself does not, in fact, affect the family of geodesics, since the geodesic equation depends only on the symmetric part of the connection.

The equations are non-trivial and also depend on the distance from the magnet and the orientation of the magnet.

The equation of state to use depends on context (often the ideal gas law), the conservation of energy will read:

The update equations for the parameters of the variable depend on the statistic , which depends in turn on .

The equation of state depends on the type of fluid and the conditions to which it is subjected.

Of course, the final equation depends upon the amount of butter and salt you heap on.

The proper equation depends on whether the vertical curve is shorter or longer than the available sight distance.