According to

mathematical induction, (6) is established for all n = 0, 1, ***, N -1.

Therefore, by

mathematical induction, we can say that Eq.

Again using the

mathematical induction, we obtain that [alpha]([C.

Keywords Sets of n-odd prime numbers, Pairs of consecutive odd prime numbers,

Mathematical induction, Odd points, Positive directional half line of the number axis, [RLSS.

Here, we apply the well-known

mathematical induction [18, 19] to prove (48) is a reasonable approximated result of (32) after expanding Q.

Now, relation (5) follows by

mathematical induction, the induction step [y.

By using

mathematical induction, the general solution of a polyanalytic differential equation of the Fempl type is

Secondly, using

mathematical induction on a we obtain (3.

The proof, using

mathematical induction is straight forward.

The book includes many elementary but rigorous mathematical proofs appropriate for beginning mathematics majors, as well as appendices on set notation, logic, and

mathematical induction.

The proof of correctness of the basics of Floyd-Warshallovog algorithm, that is the above recursive formula LongestPath(i, j, k), is carried out with an

mathematical induction, according to the cardinal number k of vertices set {[v.

We use this term in a different way than is usually employed in

mathematical induction or complete induction, which is a formal method of proof, based more on deductive than on inductive reasoning.