Algebra

2409 Submissions

[4] viXra:2409.0112 [pdf] submitted on 2024-09-21 05:43:39

Algebraic Conception of the Five Common Notions of Euclid

Authors: Juan Elias Millas Vera
Comments: 1 Page.

Following Hilbert’s path to make algebraic the classical texts I express literal notions of Euclid in simple equations.
Category: Algebra

[3] viXra:2409.0108 [pdf] submitted on 2024-09-20 18:08:05

Goedelian Encryption & Goldbach's Conjecture

Authors: Paris S. Miles-Brenden
Comments: 16 Pages.

The qualifications to a mathematical context, in a theorem of elimination, remain the orderable indexed assumptive of a sequence in N, and a count, among hyperbolic and geometric spaces in general, to which this reproves to the theoretical limitations of the Turing Model, that the precalculability of machine states is in one exceptional qualifier, prohibitionally entitled of an Axiom of Choice, to Leonard Cohen's work.
Category: Algebra

[2] viXra:2409.0040 [pdf] submitted on 2024-09-09 01:54:29

Para Complexes Numbers

Authors: Ahcene Ait saadi
Comments: 9 Pages. (Note by viXra Admin: For the last time, please cite and list scientific references!)

In this article, I study the numbers that I have titled: para-complex numbers. A para- complex number consists of a real part and para- imaginary part. Algebraic form of a para- complex number:z=a+jb with j^2=1 and j different from 1 "J : is a pure para-imaginary."a, is the real part; b, is the imaginary part. In an orthonormal coordinate system, the x-axis represents the real numbers, while the y-axis represents the para-imaginary number. This work allows me to find a large number of mathematical formulas. This is just the beginning; I hope that researchers will improve it and derive more interesting mathematical formulas that will serve science.
Category: Algebra

[1] viXra:2409.0024 [pdf] submitted on 2024-09-07 03:30:30

Algebra zero

Authors: Ahcene Ait saadi
Comments: 6 Pages. (Note by viXra Admin: Author name should be between article title and the asbstract)

In ordinary arithmetic, the expression 0/0 does not make sense. It is an indeterminate form, for there is no such thing as a number that multiplied by 0, gives a number . So, the division Of 0/0 is indefinite (undetermined) in mathematics. I will show with three examples, that this theory is completely wrong. I will show from the following, three examples which are my discoveries, That ,this theory is completely wrong. 1) System of three equations.2) Resolution of the quadratic equation with a new formula.3) Pseudo differential calculus. Mathematical tool that I discoveredSee http://viXra.org/abs/2409.0003With this discovery, I give the definition of absolute zero.I hope that these discoveries, will open up new horizons for scientific research in general and for mathematics in particular.
Category: Algebra