General Mathematics

1407 Submissions

[4] viXra:1407.0030 [pdf] submitted on 2014-07-04 03:40:05

Using Matrix Method to Find What is the Next Number in this Sequence

Authors: Muneer Jebreel Karama
Comments: 6 Pages.

Given a sequence of numbers , that is generated by matrix I described an easy way to write down the matrix by computing the next value of this sequence which was located on the next number on the diagonal of the matrix.
Category: General Mathematics

[3] viXra:1407.0018 [pdf] submitted on 2014-07-02 16:16:09

The Human Doubt About the Innateness of Mathematics in Nature

Authors: Giuseppe Laquidara
Comments: 3 Pages. Keywords. Mathematics, Philosophy, Humanism, Naturalism, Hermeneutics, Quantum Logics, NCLs, Complexity

In this brief argument, I argue that a dilemma about the innateness of Math in Nature, opposite to the hypothesis that Mathematics could be an human invention, is a natural non-sense depending from human innate inclination to logical doubt, due to the effective irrelevance of the Human Mathematical order and its laws within the relation between the Natural Mathematical phenomena and the Nature itself. (Apr 5, 2014)
Category: General Mathematics

[2] viXra:1407.0014 [pdf] replaced on 2014-07-03 10:28:48

La Naturaleza Trans-Pitagórica de los Números Primos

Authors: Miguel Ángel Rodríguez-Roselló
Comments: 35 Pages. English version in http://vixra.org/abs/1407.0007

En este artículo se estudian los números primos y compuestos desde el punto de vista de los dos modos de conciencia: 1) la conciencia profunda, intuitiva y sintética; 2) la conciencia superficial, racional y analítica. Esta dualidad universal se manifiesta, respectivamente, en los números primos y compuestos. Según el principio de causalidad descendente, lo superficial es siempre una manifestación de lo profundo, y es imposible expresar lo profundo desde lo superficial. Por lo tanto, los números compuestos son manifestaciones de los números primos, y los números primos son inexpresables. Esta inexpresabilidad de los primos se manifiesta, se justifica y se fundamenta en la suma y resta de cuadrados, es decir, en las expresiones pitagóricas duales a^2+b^2 y a^2-b^2. Adicionalmente, este estudio ha conducido al descubrimiento de que existen 7 tipos de números impares desde el punto de vista de las expresiones pitagóricas.
Category: General Mathematics

[1] viXra:1407.0007 [pdf] replaced on 2014-07-03 10:32:31

The Trans-Pythagorean Nature of Prime Numbers

Authors: Miguel Ángel Rodríguez-Roselló
Comments: 34 Pages. Spanish version in http://vixra.org/abs/1407.0014

In this paper, prime an composite numbers are studied from the point of view of the two modes of consciousness: 1) the deep, intuitive and synthetic consciousness; 2) the superficial, rational and analytical consciousness. This universal duality manifests respectively in prime and composite numbers. According to the downwarding causation principle, the superficial level is always a manifestation of the deep one, and it is imposible to express the deep level from the superficial one. Therefore, composite numbers are manifestations of prime numbers, and prime numbers are inexpressible. This inexpressibility of the primes is manifested, justified and fundamented in the sum and difference of squares, i.e., in the dual Pythagorean expressions a^2+b^2 and a^2-b^2. Additionally, this study has led to the discovery of the existence of 7 types of odd numbers from the point of view of the Pythagorean expressions.
Category: General Mathematics