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Your search keyword '"Vincenzi, Giovanni"' showing total 2 results
2 results on '"Vincenzi, Giovanni"'

1. Irrationality via base-<italic>b</italic> representation: an alternative proof of Gauss's lemma.

Author

Vincenzi, Giovanni

Abstract

Using the basic properties of the base-b representation of rational numbers, we will give an elementary proof of Gauss's lemma: Every real root of a monic polynomial with integer coefficients is either an integer or irrational. The paper offers a new perspective in understanding the meaning of ‘irrational numbers’ from a deeper perspective, and a good occasion to improve the student's skills with point of view on number systems. [ABSTRACT FROM AUTHOR]

Published
2023
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2. On the Rational Values of Trigonometric Functions of Angles that Are Rational in Degrees.

Author

Paolillo, Bonaventura and Vincenzi, Giovanni

Subjects
*TRIGONOMETRIC functions, *IRRATIONAL numbers, *RATIONAL numbers
Abstract

Fix I n i such that Graph HT n ht is an integer multiple of Graph HT 360° ht . First, we assume that Graph HT cos( ) ht is a rational number different from 0. Suppose that Graph HT tan( ) ht is a rational number. [Extracted from the article]

Published
2021
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