Algebra

2503 Submissions

[6] viXra:2503.0180 [pdf] submitted on 2025-03-27 23:46:42

[attempted] Proof that π and √2 Are Rational

Authors: Armando Evangelista Jr
Comments: 1 Page.

In this short paper, I've used Wallis' product formula to prove that π is rational, while the product expansion of the cosine function was used to prove that √2 is rational.
Category: Algebra

[5] viXra:2503.0125 [pdf] submitted on 2025-03-20 07:11:55

Proof that e is Rational

Authors: Armando Evangelista Jr
Comments: 1 Page.

In this short paper, I used Joseph Fourier's proof that e is irrational to prove that it is actually a rational number.
Category: Algebra

[4] viXra:2503.0104 [pdf] submitted on 2025-03-17 22:42:04

Irrational Numbers Do Not Exist [?]

Authors: Armando Evangelista Jr
Comments: 1 Page. (Note by viXra Admin: Please cite and list scientific references)

This short paper proves that there are no such things as irrational numbers.
Category: Algebra

[3] viXra:2503.0103 [pdf] replaced on 2025-06-03 15:27:44

Surface Area of the Mobius Strip

Authors: Richard J. Mathar
Comments: 13 Pages. Version 3 contains an introduction with screw-type surface calculations.

The (half) area of the surface of the Mobius strip is the expected product of the length of the circular spine times the width of the sweep line times a positive correction factor. The manuscript writes down this factor as a Taylor series of the ratio of width over circle radius; it approachesone if that ratio approaches zero.
Category: Algebra

[2] viXra:2503.0095 [pdf] submitted on 2025-03-17 01:37:32

Pythagorean Complex: on Truth and Falsness Superpositions

Authors: Osvaldo Duilio Rossi
Comments: 1 Page. (Note by viXra Admin: An abstract in the article is required and cited references should be listed)

r^2 = x^2+y^2 implies r^2 = (x+yi)(x-yi), implying r^2 = rr*, superposing a statement true under algebra with a statement fals under epistemology, revealing the true nature of complex numbers and mathematical thinking.
Category: Algebra

[1] viXra:2503.0048 [pdf] submitted on 2025-03-09 20:08:31

Fraction Algebra

Authors: Huhnkie Lee
Comments: 55 Pages.

This paper will explore fractions and introduce brand new concepts related to fractions. We will also introduce related ideas such as Iverson transformation, inverse Iverson transformation. We will also introduce theorems related to flooring and ceiling functions.
Category: Algebra