Finally, substituting this value of back into our constraint equations, we have:

This requires giving constraint equations which must be satisfied by the original hyperslice.

The holonomic constraint equations can help us easily remove some of the dependent variables in our system.

Consider the following differential form of a constraint equation:

There is a constraint equation for each area limiting the land use for housing to the land supply available.

And there is a constraint equation for each household group assuring that all folks can find housing.

The constraint equations may force such policy actions.

It turns out that this tensor yields seven constraint equations.

For a system subject to the constraint equation on the generalized coordinates:

This is repeated until the constraint equations are satisfied up to a prescribed tolerance.