Ivanov presents mathematical problems at about the first-year university level for teachers, students, and others interested in mathematics who have at least a high-school senior or first-year university calculus understanding of functions, quadratic equations,

mathematical induction, Euclidean geometry of triangles and circles, and coordinate geometry as it applies to these figures and to parabolas.

The reason that this formula is valid for higher values of N is through

mathematical induction which students learn in later years of high school.

32) and by

mathematical induction on [alpha], we get (3.

The

mathematical induction is used to prove the theorem.

Use

mathematical induction and Feynman's version of the product rule to prove the fundamental result from differential calculus:

Proof: We prove the theorem by

mathematical induction.

Clearly, applying

mathematical induction and using the fact that C is convex and T C [subset] C one can obtain [C.

Using the method of

mathematical induction, the characteristics of an open stochastic network consisting of n, n+1 and any arbitrary number of nodes maybe similarly calculated.

Students should be comfortable with at least one-variable calculus, vector algebra in the plane,

mathematical induction, and elementary set theory.

We will prove together that there are infinitely many sets of n-odd prime numbers and pairs of consecutive odd prime numbers by the

mathematical induction with aid of such equivalent line segments and odd points thereof, in this article.

1 < l simultaneously by double

mathematical induction on l, and k + [k.

Instead, it is shown in Appendix A with

mathematical induction [18,19] that an approximation of [SINR.