Multiplex PCR amplification from the CFTR gene using DNA prepared from buccal brushes/swabs

All valid identities in terms of variables, real constants, the arithmetic operations of addition and multiplication, and the trigonometric operations of sine and cosine are shown to be consequences of a few familiar identities and numerical facts. We also indicate how to decide whether f eventually dominates g, for and g from a certain class of exponential functions. Finally, we correct a statement from an earlier paper.