The Principle of Mathematical Induction: Applications in Physical Optics

Box 1

                        Standard formulation

Let be a statement concerning a set of natural numbers . If is true and for , is true, then by the PMI, is true for all-natural numbers .

                       Generalized formulation

For some fixed natural number and for a set of natural numbers , let be a statement concerning . If is true and for , is true, then by the PMI, is true for all-natural numbers .