According to the paper, we may know whether a new solar minimum is occurring as soon as 2015.

This minimum occurred at approximately the middle of the eight hour sleep period for morning types, but closer to waking in evening types.

Sometimes an energetical minimum or a maximum of entropy occur for such aperiodic structures.

If the minimum occurs under case (c), we make non-basic (instead of) and do not change the tree.

By Fermat's theorem, local maxima and minima of a function can occur only at its critical points.

Here the minimum only occurs if one subspace is contained in the other, while the maximum is the most general case.

If the function is differentiable, the minima and maxima can only occur at critical points or endpoints.

We found earlier that the minimum of V occurs at where .

Multiple minima can occur in a variety of circumstances some of which are:

The velocity maxima and minima do not necessarily occur when the crank makes a right angle with the rod.