id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
easat-10856	Olegario, Marín-Machuca,; Eduardo, Candela-Díaz, José; Pilar, Rojas-Rueda, María del; Carlos Enrique, Chinchay-Barragán,; Adolfo, Pérez-Ton, Luis; Blanca, Vargas-Ayala, Jessica	Calculation and application of the engineering numbers of Bernoulli (B_n) and Euler (E_n) to integral analysis and other applications	2025	15	.pdf	application/pdf	7914	380	73	Like Bernoulli numbers, Euler numbers also participate in a large number of mathematical relationships and physical phenomena applied to technological, scientific, and engineering processes, such as those mentioned by Abramowitz and Stegun It is concluded that all the Euler numbers calculated are integers and positive, that the sum of two consecutive Euler numbers is divisible by 3 (three), that Euler numbers alternately end in 1 or 5, that Bernoulli numbers are all positive, that Bernoulli numbers, from the fourth position onward, grow indefinitely, that Bernoulli numbers are the smallest ratio between two relatively prime numbers, and there are other more important direct applications to the mathematics of Bernoulli and Euler numbers that appear in a wide variety of processes and that are truly the essence of engineering, applied mathematics, experimental models, and their various behaviors.	cache/easat-10856.pdf	txt/easat-10856.txt