Engineering, Mathematics and Computer Science Journal (EMACS)
Vol. 4 No. 1 (2022): EMACS

Fractional Generating Function from The Square Root of Two with A-B Goen Numbers

Stephanus Ivan Goenawan (Atma Jaya Catholic University)

Article Info

Publish Date
05 Feb 2022

Abstract

The square root of two is an irrational number that cannot be written as a fraction of the numerator and denominator. By using the generating function of A-B Goen, from the resulting set of numbers, the sequence of A-B Goen numbers can be obtained by selecting integer numbers. The A Goen numbers are generated from the generator function which have integer numbers, while the B Goen numbers are obtained from the sequence numbers. In this study, through the generating function of A-B Goen, it can be proven that the division between the A Goen number and the B Goen number in an infinite sequence will result the value of the square root of two.

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Journal Info
Engineering, Mathematics and Computer Science Journal (EMACS)
Website

Abbrev

EMACS

Publisher

Universitas Bina Nusantara

Subject

Civil Engineering, Building, Construction & Architecture Computer Science & IT Engineering Industrial & Manufacturing Engineering Mathematics

Description

Engineering, MAthematics and Computer Science (EMACS) Journal invites academicians and professionals to write their ideas, concepts, new theories, or science development in the field of Information Systems, Architecture, Civil Engineering, Computer Engineering, Industrial Engineering, Food ...