Algebra

1901 Submissions

[6] viXra:1901.0377 [pdf] submitted on 2019-01-26 00:54:05

A Simple Introduction & Suggestion to Using Nested Relational Algebra Theory,Data Processing & Related Concepts in the Context of Protein Folding Mechanisms/Metabolomics/Other Bio-informatics Applications.

Authors: Nirmal Tej Kumar
Comments: 2 Pages. Short Communication & Technical Notes

A Simple Introduction & Suggestion to Using Nested Relational Algebra Theory,Data Processing & Related Concepts in the Context of Protein Folding Mechanisms/Metabolomics/Other Bio-informatics Applications.
Category: Algebra

[5] viXra:1901.0340 [pdf] submitted on 2019-01-23 00:37:15

Доказательство гипотезы Эндрю Била

Authors: Ведерников Сергей Иванович
Comments: 7 Pages. Научный журнал "Интернаука" №48(82), 2018.

Доказательство гипотезы Била в контексте "Полного доказательства великой теоремы Ферма методом деления".
Category: Algebra

[4] viXra:1901.0306 [pdf] submitted on 2019-01-20 22:03:16

Refutation of Heyting Algebra

Authors: Colin James III
Comments: 4 Pages. © Copyright 2019 by Colin James III All rights reserved. Respond to author by email only at: info@ersatz-systems dot com. See website ersatz-systems.com . (We warn troll Mikko at Disqus to read the article four times before hormonal typing.)

Using the Lindenbaum method, we show pseudo-complementation is not tautologous along with its eight properties. This refutes Heyting algebra. Based thereon, what follows is the Gödel n-valued matrix logic is refuted and the derivative intuitionistic propositional logic.
Category: Algebra

[3] viXra:1901.0246 [pdf] submitted on 2019-01-16 21:58:12

Construction of Multivector Inverse for Clif Ford Algebras Over 2m+1-Dimensional Vector Spaces from Multivector Inverse for Clifford Algebras Over 2m-Dimensional Vector Spaces

Authors: Eckhard Hitzer, Stephen J. Sangwine
Comments: Advances of Applied Clifford Algebras, Vol. 29, article #29, 22 pages, First Online: 19 February 2019. DOI: 10.1007/s00006-019-0942-7.

Assuming known algebraic expressions for multivector inverses in any Clifford algebra over an even dimensional vector space R^{p',q'), n' = p' +q' = 2m, we derive a closed algebraic expression for the multivector inverse over vector spaces one dimension higher, namely over R^{p,q}, n = p+q = p'+q'+1 = 2m+1. Explicit examples are provided for dimensions n' = 2,4,6, and the resulting inverses for n = n' +1 = 3,5,7. The general result for n = 7 appears to be the first ever reported closed algebraic expression for a multivector inverse in Clifford algebras Cl(p,q), n = p + q = 7, only involving a single addition of multivector products in forming the determinant.
Category: Algebra

[2] viXra:1901.0142 [pdf] submitted on 2019-01-10 08:52:27

Classification Des Formes Quadratiques

Authors: BOUCHOUAT El Mehdi
Comments: 23 Pages.

La théorie des formes quadratiques est très vaste et dans ce mémoire je n'en mentionne qu'une très petite partie. Dans la première section, j'introduis les formes quadratiques et leurs formes bilinéaires associées et je présente quelques résultats généraux. La deuxième section est consacrée à la classification des formes quadratiques sur $\mathbb{C}$, $\mathbb{R}$, et sur les corps finis $\mathbb{F}_{q}$, et dans la troisième section je me concentre sur l'une des applications de la classification des formes quadratiques : La loi de réciprocité quadratique.
Category: Algebra

[1] viXra:1901.0128 [pdf] submitted on 2019-01-09 09:14:26

The Modified Clifford Algebra

Authors: Antoine Balan
Comments: 1 page, written in english

We propose here a modification of the Clifford algebra with relations using three vectors instead of two.
Category: Algebra