General Mathematics

1911 Submissions

[9] viXra:1911.0311 [pdf] submitted on 2019-11-18 01:26:38

A Note on a Possible Anomaly in the Complex Numbers

Authors: Han Geurdes
Comments: 3 Pages.

In the present paper a conflict in basic complex number theory is reported. The ingredients of the analysis are Euler's identity and the DeMoivre rule for $n=2$. The outcome is that a quadratic equation only has one single solution because one of the existing solutions gives rise to an impossibility.
Category: General Mathematics

[8] viXra:1911.0252 [pdf] submitted on 2019-11-14 11:58:07

Catalan's Constant and pi :Integrals

Authors: Edgar Valdebenito, Rodrigo Valdebenito
Comments: 2 Pages.

Double integrals
Category: General Mathematics

[7] viXra:1911.0251 [pdf] submitted on 2019-11-14 12:00:10

Numbers: Part 6, Three Integrals .

Authors: Edgar Valdebenito, Rodrigo Valdebenito
Comments: 1 Page.

We give three definite integrals
Category: General Mathematics

[6] viXra:1911.0242 [pdf] submitted on 2019-11-14 06:51:46

Numbers Do Not Exist

Authors: Averky Glebov
Comments: 1 Page.

In this paper we discuss how numbers, are just not real, and do not exist in the world.
Category: General Mathematics

[5] viXra:1911.0233 [pdf] submitted on 2019-11-13 17:21:28

Refutation of Multiplication, Addition, and Subtraction by Zero Calculus

Authors: Colin James III
Comments: 1 Page. © Copyright 2019 by Colin James III All rights reserved. Note that Disqus comments here are not read by the author; reply by email only to: info@cec-services dot com. Include a list publications for veracity. Updated abstract at ersatz-systems.com.

We evaluate the conjecture of the following equations: (a×0)≠0 ; (a×0)<a; and (a−0)<a<(a+0). None is tautologous, and the first two are contradictory. This refutes the conjectures to form a non tautologous fragment of the universal logic VŁ4.
Category: General Mathematics

[4] viXra:1911.0231 [pdf] submitted on 2019-11-13 01:57:55

Multiplication by Zero Calculus, Addition by Zero Calculus, and Subtraction by Zero Calculus

Authors: Toshiro Takami
Comments: 2 Pages.

In physics, there are many particles in a vacuum.\\ Perfect zero cannot exist.\\ 0 is not perfect zero.\\ 0 is almost zero.\\ Perfect zero is only a mathematical fantasy.\\ $a\times0\approx0$, but $a\times0\neq0$.\\ $a\times0\times0\times0\times0\times0<a\times0\times0\times0\times0<a\times0\times0\times0<a\times0\times0<a\times0<a$.\\ $a-0-0-0<a-0-0<a-0<a<a+0<a+0+0<a+0+0+0$.\\
Category: General Mathematics

[3] viXra:1911.0206 [pdf] submitted on 2019-11-11 18:05:40

Finite-Time Lyapunov Exponents in the Instantaneous Limit and Material Transport

Authors: Peter J. Nolan, Mattia Serra, Shane D. Ross
Comments: 43 Pages. Submitted for publication

Lagrangian techniques, such as the Finite-Time Lyapunov Exponent (FTLE) and hyperbolic Lagrangian coherent structures, have become popular tools for analyzing unsteady fluid flows. These techniques identify regions where particles transported by a flow will converge to and diverge from over a finite-time interval, even in a divergence-free flow. Lagrangian analyses, however, are time consuming and computationally expensive, hence unsuitable for quickly assessing short-term material transport. A recently developed method called OECSs rigorously connected Eulerian quantities to short-term Lagrangian transport. This Eulerian method is faster and less expensive to compute than its Lagrangian counterparts, and needs only a single snapshot of a velocity field. Along the same line, here we define the instantaneous Lyapunov Exponent (iLE), the instantaneous counterpart of the finite-time Lyapunov exponent (FTLE), and connect the Taylor series expansion of the right Cauchy-Green deformation tensor to the infinitesimal integration time limit of the FTLE. We illustrate our results on geophysical fluid flows from numerical models as well as analytical flows, and demonstrate the efficacy of attracting and repelling instantaneous Lyapunov exponent structures in predicting short-term material transport.
Category: General Mathematics

[2] viXra:1911.0058 [pdf] submitted on 2019-11-04 06:03:56

SCIS- Traffic Congestion Optimisation using River Formation Dynamics

Authors: Kunal Verma, Vishal Paike
Comments: 5 Pages.

The raising level of traffic imposes a great demand in the growth of intelligent traffic systems. With increase in complexity of alleviation, finding solutions to traffic congestion problem have become one of the challenges. Various optimization techniques have been proposed in literature to meet these challenges. This paper surveys different optimization techniques based on heuristics for automated traffic congestion control. Moreover, an approach based on River Formation Dynamics scheme is introduced to analyze the optimization problem for traffic congestion control and a scheme to extract real time information through Internet of Things is presented for superior efficiency and productivity
Category: General Mathematics

[1] viXra:1911.0050 [pdf] submitted on 2019-11-03 02:41:08

О парадоксе при классическом подходе к доказательству теорем и непригодности общепринятых стереотипных тавтологий классической математики для доказательства теорем

Authors: Victoria Kondratenko Виктория Александровна Кондратенко
Comments: 5 Pages.

Аннотация. В текущее время в естественных и прикладных науках в большинстве публикаций доказательство теорем осуществляется: во-первых, содержательным способом, что противоречит настоятельному требованию философов науки использовать исключительно формальное доказательство, которое является критерием оценки корректности и достоверности доказательства; во-вторых, при содержательном доказательстве в 95% случаев используются исключительно стандартный перечень тавтологий, который по определению некорректен для целей доказательства теорем о явлениях и процессах мироздания на основе истинных аксиом, полученных в результате натурного экспериментирования с этими явлениями и процессами. В статье анализируется часто используемый стандартный перечень тавтологий, доказывается непригодность этих тавтологий для доказательства теорем, что порождает очередной неразрешимый парадокс в началах математики. Автором предлагается выход из создавшегося тупика.
Category: General Mathematics