General Mathematics

Previous months:
2010 - 1003(1) - 1005(2) - 1008(2) - 1009(1) - 1010(2) - 1011(2) - 1012(1)
2011 - 1101(2) - 1103(3) - 1105(1) - 1108(1) - 1109(1) - 1111(2)
2012 - 1202(2) - 1203(3) - 1204(2) - 1205(2) - 1206(2) - 1207(1) - 1208(3) - 1211(1) - 1212(1)
2013 - 1301(1) - 1302(2) - 1303(4) - 1304(3) - 1305(2) - 1306(4) - 1309(3) - 1310(2) - 1311(2) - 1312(2)
2014 - 1401(2) - 1402(3) - 1403(639) - 1404(85) - 1405(59) - 1406(1) - 1407(4) - 1408(1) - 1409(2) - 1411(54) - 1412(19)
2015 - 1501(7) - 1502(18) - 1503(6) - 1504(7) - 1505(1) - 1506(6) - 1507(1) - 1508(111) - 1509(18) - 1510(143) - 1511(16) - 1512(176)
2016 - 1601(65) - 1602(28) - 1603(33) - 1604(38) - 1605(16) - 1606(24) - 1607(45) - 1608(36) - 1609(39) - 1610(9) - 1611(21) - 1612(25)
2017 - 1701(234) - 1702(9) - 1703(11) - 1704(20) - 1705(53) - 1706(79) - 1707(1) - 1708(9) - 1709(23) - 1710(17) - 1711(131) - 1712(7)
2018 - 1801(31) - 1802(31) - 1803(121) - 1804(36) - 1805(37) - 1806(8) - 1807(8) - 1808(165) - 1809(77) - 1810(20) - 1811(5) - 1812(13)
2019 - 1901(9) - 1902(12) - 1903(4) - 1904(9) - 1905(11) - 1906(16) - 1907(10)

Recent submissions

Any replacements are listed farther down

[3023] viXra:1907.0264 [pdf] submitted on 2019-07-15 20:00:11

Otimização de um Pórtico Tridimensional de Concreto Armado

Authors: Halina dos Santos Salles, Paulo Frederico Souza Lomeu, Franciane Conceição Peters, Webe João Mansur
Comments: 9 Pages.

In building design, the designers aim a better and safer project, regarding several structural aspects, besides the reduction of the costs of the inputs. Optimization methods can be used for this purpose without compromising structural safety. Thus, this article aims at the structural optimization by genetic algorithms of reinforced concrete 3D frames. In this study a Genetic Algorithm was developed, containing the specifications for the dimensioning of the structural elements reinforcement. The objective function is formed by the costs of concrete, molds and steel and will be minimized, according to the restrictions of NBR 6118:2014 (Concrete Structures Project - Procedure). The structural model is processed in the Ansys ® software, where discretization occurs through the finite element method, to analyze and obtain the stresses and deformations of the structure. The study consideres design variables: height of beams and columns. The results show that this methodology provided responses consistent when compared to the practice and also surprised with solutions that could be rejected by designers.
Category: General Mathematics

[3022] viXra:1907.0263 [pdf] submitted on 2019-07-15 20:01:49

Análise Energética e Exergética Para O Ciclo Dual em Motores de Alta Rotação

Authors: Antônio Chicharo Prata Lisboa, Claudia Mazza Dias, Julio Henrique Lopes de Almeida
Comments: 14 Pages.

This work has the purpose of performing the Dual Cycle analysis, suitable for high rotation engines, with the objective of obtaining its Energetic and Exergetic efficiencies, as well as quantifying the destruction of exergy in the processes. The results are obtained through parametric studies, which allow the evaluation of the behavior of parameters of interest. The calculations are developed in an open code written in Python® with the support of libraries numpy and scipy.
Category: General Mathematics

[3021] viXra:1907.0262 [pdf] submitted on 2019-07-15 20:04:02

Conteúdo Volumétrico da água no Solo Via Modelos de Competição Interespecífica

Authors: Wilian Jeronimo dos Santos, Rosane Ferreira de Oliveira, Marcos Bacis Ceddia, Juliana Lima de Almeida
Comments: 10 Pages.

The present work aimed to create a tool that can contribute to the prediction of moisture content in heterogeneous and well-drained plots of soil over a given period of time. To characterise the water balance, which is a criterion for the redistribution of water in the soil, an analogy is made to the competition model in population dynamics. This analogy can be explained by “competition” for water among the different soil compartments. The different layers “compete” with each other for water due to difference in hydraulic potential. In this sense, the model proposed is based on models of interspecific competition. Furthermore, the numerical methodology proposed is characterized to be solved more easily than the traditional and highly non-linear Richards’ equation. Numerical results were compared against simulation results from the Hydrus-1D program.
Category: General Mathematics

[3020] viXra:1907.0261 [pdf] submitted on 2019-07-15 20:05:32

Resolução de Problemas de Elasticidade Com Carga de Domínio Pelo Método Dos Elementos de Contorno na Formulação de Dupla Reciprocidade

Authors: Carlos Andrés Reyna Vera-Tudela
Comments: 12 Pages.

The Boundary Element Method transforms partial differential equations that govern the problem domain into integral equations involving only contour values after the introduction of weighting functions called fundamental solutions. When the problem studied involves internal loads, such as self weight, one must search for a solution that preserves the philosophy of the method. For this purpose, the Dual Reciprocity technique is used. This work illustrates dual reciprocity with Navier’s equation with a self-weight load term. Numerical results are presented.
Category: General Mathematics

[3019] viXra:1907.0251 [pdf] submitted on 2019-07-16 05:52:11

Non-Trivial Zero Point I376.3241

Authors: Toshiro Takami
Comments: 3 Pages.

I found a non-trivial zero point i 376.3241, which has a real part value of 0 and a value other than 0.5 that is 0. This is only real part 0 and imaginary part is not 0. This implies that there may be a near zero point outside of 0.5. It was zeta (0.32669532237383891329 + i 376.3241) = -2.73410 ... 10 ˆ-21-0.399046 ... i. Although it suggests that there may be a zero point other than real part 0.5 nearby, it is judged that the probability is low and search is not performed. We confirmed that it was a mirror image relationship by dividing the non-trivial zero value real values 0.0 to 1.0 by 0.1 in order from i14.1347, the imaginary value of the first non-trivial zero, from i14.1347. That is, the absolute value of the real part increases proportionally as 0.5 is set to 0 and all nontrivial zeros go away from 0.5, but there is a tendency that only nontrivial zero i376.3241 will not. was there. The imaginary part i 376.3241 has a real part 0 at 0.327 other than 0.5.
Category: General Mathematics

[3018] viXra:1907.0218 [pdf] submitted on 2019-07-13 12:49:43

Note on a Lyapunov-Type Inequality for a Fractional Boundary Value Problem with Caputo-Fabrizio Derivative

Authors: Zaid Laadjal
Comments: 5 Pages.

In this short note, we present a Lyapunov-type inequality that corrects the recently obtained result in [M. Kirane, B. T. Torebek: A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative, J. Math. Ineq. Vol. 12, 4(2018), 1005-1012].
Category: General Mathematics

[3017] viXra:1907.0216 [pdf] submitted on 2019-07-14 03:02:59

Corrected Weak Duality Theorem by Way of Refutation of the Strong Duality Theorem

Authors: Colin James III
Comments: 3 Pages. © Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at ersatz-systems.com.

The equation of the weak duality theorem, (Ax≤b, x≥0) ≤ (A^Ty≥c, y≥0), is confirmed as tautologous. Three proofs of it in the literature are not tautologous. The equation of the strong duality theorem, (Ax≤b, x≥0) = (A^Ty≥c, y≥0), is refuted as not tautologous. These form a non tautologous fragment of the universal logic VŁ4. What follows is the weak duality theorem could just as easily exclude the “or equal to” relation to read (Ax≤b, x≥0) < (A^Ty≥c, y≥0) as the corrected weak duality theorem.
Category: General Mathematics

[3016] viXra:1907.0215 [pdf] submitted on 2019-07-12 10:03:19

Chebychop: a New Method for Constrained Global Optimization

Authors: John Mark Vincent
Comments: 5 Pages.

A new method for multi-dimensional global optimization is presented. The fundamental idea is to obtain the Chebyshev norm from a set of L_p=norms; an original extrapolation procedure is used to converge to the optimum value, which is identical to the Chebyshev norm. This allows the optima to be efficiently pin-pointed by repeatedly bisecting the domain. Estimates of computational cost indicate that the method is fast.
Category: General Mathematics

[3015] viXra:1907.0149 [pdf] submitted on 2019-07-10 03:16:40

Chord Mathematics

Authors: Li xiaohong
Comments: 14 Pages.

Chord mathematics is a mathematical model of chord language. The main features are: octave duodecimal number system, symmetric, mirror phase, and spatial expression of chord language, also known as "chord geometry". Chord mathematics is scattered in various disciplines related to chord language, such as musicology, chord colorology, meridian science (life expression), etc. In this paper, quantitative, number system, positive and negative, coordinate, formula, calculation method and so on are integrated and unified. Chord language is composed of chord spectrum, with quantum, string (opening, closed string, N string), symmetry, mirroring and other physical, mathematical (geometric) characteristics, manifested in music (time expression), painting (space expression), meridian (life expression) and other disciplines, with spiritual, physical duality, it has thousands of years of accumulation of understanding, The more mature mathematical model, which can be observed and verified, should be the characteristic of the theory of everything. Key words: chord mathematics, chord geometry, duodecimal system, discrete, symmetric, mirror image
Category: General Mathematics

[3014] viXra:1907.0044 [pdf] submitted on 2019-07-02 08:45:44

The Number pi and the Integral: Int(exp(a*ln(tanh(x)))*(dx/x))

Authors: Edgar Valdebenito
Comments: 2 Pages.

This note presents some formulas for Pi.
Category: General Mathematics

[3013] viXra:1906.0487 [pdf] submitted on 2019-06-25 08:32:45

Elementary Integral and Some Series

Authors: Edgar Valdebenito
Comments: 1 Page.

We recall a elementary integral and some series.
Category: General Mathematics

[3012] viXra:1906.0486 [pdf] submitted on 2019-06-25 08:34:51

Three Equations

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents three series for Pi.
Category: General Mathematics

[3011] viXra:1906.0472 [pdf] submitted on 2019-06-24 08:20:39

Final Extra Credit Possibilities

Authors: Timothy W. Jones
Comments: 17 Pages.

The teaching of college algebra or algebra 2 has been influenced a little by calculators, but not nearly enough. Currently algebra texts do not really develop their topics with programming calculators or making spreadsheets. This \emph{article} gives some of the ways students could program calculators. The article is glossed as extra credit possibilities. But really it should be hard to suggest that students, loaded up with their i-phones and computers, should ever think to use pencil and paper to solve quadratics, for example; it is embarrassing to the teaching profession. This is the sense in which algebra pedagogy has not changed nearly enough over the years. Regression analysis and programming calculators to solve real problems should be paramount, not doing algebra the same way it was done fifty or more years ago.
Category: General Mathematics

[3010] viXra:1906.0471 [pdf] submitted on 2019-06-24 08:24:58

Doing Functions Right in 1105

Authors: Timothy W. Jones
Comments: 8 Pages.

This powerpoint presentation gives a way to upgrade the treatment of functions in elementary algebra courses.
Category: General Mathematics

[3009] viXra:1906.0466 [pdf] submitted on 2019-06-24 11:49:57

Euler's Formula Motivated, Trigonometric Derivatives Eased Too

Authors: Timothy W. Jones
Comments: 4 Pages.

This article gives a way to quickly understand Euler's formula.
Category: General Mathematics

[3008] viXra:1906.0461 [pdf] submitted on 2019-06-25 00:19:05

Арифметизация комбинаторного соотношения перестановок

Authors: Анатолий Вайчунас
Comments: 3 Pages. in Russian

Традиционно перестановки выражаются соотношением сдвига-оборота или перерасположения; но возможна и арифметизация совыражений перестановок на основе соответствия сложения по определённому счислению.
Category: General Mathematics

[3007] viXra:1906.0442 [pdf] submitted on 2019-06-23 20:18:18

Отбор аддитивных арифметических соответствий

Authors: Анатолий Вайчунас
Comments: 6 Pages. in Russian

Сколько ни было неудач, но формализация математики, начиная с арифметики, начиная в ней с соответствия сложения и его выражений, когда-то должна была состояться. Это лишь ознакомительный обзор, но тому, кому доступно понимание формализации, этого достаточно для собственного осмысления, наконец-то пришедших к вам, возможностей.
Category: General Mathematics

[3006] viXra:1906.0430 [pdf] submitted on 2019-06-22 08:36:57

Понятие основного математического предмета

Authors: Анатолий Вайчунас
Comments: 2 Pages. in Russian

Математические предметы полагаются до того невообразимо разнообразными, что некоторым математикам стыдно начинать свою теорию с примитивного понятия математической точки: вот вам элемент множества – мыслите настолько, насколько у вас развито математическое воображение… А мы, вот, начинаем с понятия точки.
Category: General Mathematics

[3005] viXra:1906.0389 [pdf] submitted on 2019-06-21 08:32:18

Точечные операнды арифметических соответствий

Authors: Анатолий Вайчунас
Comments: 3 Pages. in Russian

Как создавать точечные матметы, как обращаться к ним языковыми конструкциями поодиночно или сразу к нескольким.
Category: General Mathematics

[3004] viXra:1906.0357 [pdf] submitted on 2019-06-19 13:32:52

he Poisson Summation Formula Can Neither Prove Nor Disprove Riemann’s Functional Equation

Authors: Armando M. Evangelista Jr.
Comments: 4 Pages.

Riemann and others have used the Poisson summation formula to prove Riemann’s “functional” equation. But because of my latest paper The s-Parameter On The Transform Integrals Is A Constant [1], I’ve realized that the Poisson summation formula can neither prove nor disprove it.
Category: General Mathematics

[3003] viXra:1906.0354 [pdf] submitted on 2019-06-19 21:04:15

Языковая конструкция соответствия и его совыражений

Authors: Анатолий Вайчунас
Comments: 4 Pages. in Russian

Языковая конструкция соответствия и конструкции его совыражений во многом определяют принципы на которых далее строится основное понятие группы.
Category: General Mathematics

[3002] viXra:1906.0296 [pdf] submitted on 2019-06-15 07:40:12

Simplicity as Ultimate Sophistication?

Authors: Stephen I. Ternyik
Comments: 2 Pages.

Simple Solutions, complex, problems.
Category: General Mathematics

[3001] viXra:1906.0283 [pdf] submitted on 2019-06-15 15:13:56

Another Way to Sum up the Grandi Series.

Authors: Andrew W. Ivashenko
Comments: 2 Pages. ivashenko_a_v@mail.ru, language Russian

The original method is indicated in the article summation series grande considerations. The result is summed expected to match the result cesaro summation.
Category: General Mathematics

[3000] viXra:1906.0216 [pdf] submitted on 2019-06-12 12:16:20

The S-Parameter on the Transform Integrals is a Constant

Authors: Armando M. Evangelista Jr.
Comments: 11 Pages.

The proposition of this paper is simple: the s parameter on any transform integral is a constant and not an independent variable. Every transform integral is a different independent sytem that has its own set of parameters. The integral is evaluated through all values of the independent variable such that it is constant.
Category: General Mathematics

[2999] viXra:1906.0119 [pdf] submitted on 2019-06-07 08:36:28

Three Arcsin Type Formulas for pi

Authors: Edgar Valdebenito
Comments: 2 Pages.

We give three arcsin type formulas for Pi.
Category: General Mathematics

[2998] viXra:1906.0118 [pdf] submitted on 2019-06-07 08:38:18

Two Integrals

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents two Elementary integrals.
Category: General Mathematics

[2997] viXra:1905.0573 [pdf] submitted on 2019-05-29 18:16:55

Central Limit Theorems for Other Types of Means

Authors: D Williams
Comments: 3 Pages. Some simple transformations are used to construct CLTs for Geometric and Harmonic Means.

Central Limit theorems for Geometric and Harmonic Means are given using simple transformations. The technique can be generalized.
Category: General Mathematics

[2996] viXra:1905.0561 [pdf] submitted on 2019-05-28 08:32:26

Pi in Terms of Phi

Authors: Edgar Valdebenito
Comments: 2 Pages.

We give two formulas for Pi in terms of Phi.
Category: General Mathematics

[2995] viXra:1905.0558 [pdf] submitted on 2019-05-28 08:41:32

The Number V=phi-Sqrt(phi)

Authors: Edgar Valdebenito
Comments: 2 Pages.

This note presents some formulas related with the number: v=Phi-sqrt(Phi) , Phi=(1+sqrt(5))/2
Category: General Mathematics

[2994] viXra:1905.0557 [pdf] submitted on 2019-05-28 08:44:30

Una Integral Logarítmica

Authors: Edgar Valdebenito
Comments: 1 Page.

Esta nota presenta una integral con la función logarítmo.
Category: General Mathematics

[2993] viXra:1905.0505 [pdf] submitted on 2019-05-27 01:39:18

Multifaceted Approaches to a Berkeley Problem: Part 2

Authors: Kohji Suzuki
Comments: 66 Pages.

We once presented a few ways to solve a Berkeley problem without paying attention to initial values, which we try taking into account in this sequel.
Category: General Mathematics

[2992] viXra:1905.0407 [pdf] submitted on 2019-05-22 03:20:09

Division by Zero Calculus and Pompe's Theorem

Authors: Tsutomu Matsuura, Hiroshi Okumura, Saburou Saitoh
Comments: 5 Pages.

In this paper, we will introduce the application of the division by zero calculus to geometry and it will show the power of the new calculus.
Category: General Mathematics

[2991] viXra:1905.0240 [pdf] submitted on 2019-05-17 04:19:21

Correction Concours Bceas 2019

Authors: Idriss Olivier Bado
Comments: 16 Pages.

Dans cet article il s'agira pour nous de corriger le sujet BCEAS 2019
Category: General Mathematics

[2990] viXra:1905.0197 [pdf] submitted on 2019-05-13 11:31:13

Relationship Between Napier Number e and pi Without I

Authors: Yuji Masuda
Comments: 1 Page.

The length √x, that x is a prime number, can be set in a geometric pattern composed of circles with a diameter 1. And in many lines or curves through the center of circles of prime, some limited conditions, which is on the center of the circles of x=3 and 7(Fig.1), shows some graphs. Especially, graph of Gauss’ prime number theorem. which meets the limited condition, shows relationship between Napier number e and π without imaginary number i.
Category: General Mathematics

[2989] viXra:1905.0105 [pdf] submitted on 2019-05-06 07:57:19

Sense Theory

Authors: Egger Mielberg
Comments: 21 Pages.

Cognitive processes of human brain are strongly tied to such a well-known part of the brain as cortex. All psychological, logical or illogical solutions made by a human being are the result of the cortex. Thus, the maximum approximation of mathematical theory to the processes of the cortex can become a good trampoline to the creation of a self-learning intellectual system, a Real Artificial Intelligence. We propose a new concept of mathematical theory which gives a possibility to form, find and separate senses of two or more objects of different nature. The theory encompasses the knowledge of cybernetics, linguistics, neurobiology, and classical mathematics. The Sense Theory is not a part of traditional mathematics as we know it now, it is a new paradigm of how we can formalize complex cognitive processes of the human brain.
Category: General Mathematics

[2988] viXra:1905.0072 [pdf] submitted on 2019-05-04 12:55:51

Том Второй: "Философия исправления математики. Счётные структуры и вычисления"

Authors: Райков Александр Геннадьевич
Comments: 74 Pages. Язык русский. Работа "Том Второй. Философия исправления математики. Счётные структуры и вычисления" является составной частью "Курса лекций. Всеобъемлющие начала и механизмы действительности" в 3-х томах.

В течение 300 лет теоретическое развитие операционного аппарата высшей математики опиралось на абстракции и аксиомы, формируемые на основе логики ассоциативной формы мышления. Однако единственной научной формой мышления и исследований является объективно-аналитическое мышление и методология познания.

Цель данной работы очистить операционный аппарат математики от закоренелых ошибок абстрактно-идеалистической логики и способов исчисления. Дать аналитическое обоснование понятийного и операционного аппарата объективной математики на базе физически статусного структурно-алгебраического метода. Заложить теоретические основы объективно-аналитической формы математического мышления и инструментально-символического языка в сфере научной коммуникации, которые отвечают требованиям адекватного отображения в естествознании объективных качественно-количественных причинно-следственных связей и отношений взаимодействия и взаимного перехода форм материи друг в друга.

Книга содержит достаточно полное и доступное изложение приёмов вычисления методом структурной иерархии алгебраических групп. Раскрыты причинные источники «постоянства формальных законов» математики. Настоящее сочинение должно помочь учителям школы, преподавателям ВУЗов и теоретикам естествознания обрести твёрдую теоретическую основу возвращения математического мышления на позиции объективного знания. Овладеть приёмами структурно-алгебраического метода преобразований и вычислений. Книга будет способствовать глубокой переструктуризации математических знаний и их унификации.

Для широкого круга читателей.


Category: General Mathematics

[2987] viXra:1905.0008 [pdf] submitted on 2019-05-01 20:40:00

An Interpretation of the Identity $ 0.999999...... =1$

Authors: Saburou Saitoh
Comments: 4 Pages. In this short paper, we will give a very simple and important interpretation for the identity: $ 0.999999......=1$, because we have many questions for the identity from general people. Furthermore, even mathematicians and mathematics teachers will see an

In this short paper, we will give a very simple and important interpretation for the identity: $ 0.999999......=1$, because we have many questions for the identity from general people. Furthermore, even mathematicians and mathematics teachers will see an interesting interpretation in this paper.
Category: General Mathematics

[2986] viXra:1904.0593 [pdf] submitted on 2019-04-30 08:36:42

A Trigonometric Integral

Authors: Edgar Valdebenito
Comments: 1 Page.

In this note we give a trigonometric integral.
Category: General Mathematics

[2985] viXra:1904.0591 [pdf] submitted on 2019-04-30 08:42:19

Some Integrals

Authors: Edgar Valdebenito
Comments: 2 Pages.

This note presents some definite integrals.
Category: General Mathematics

[2984] viXra:1904.0590 [pdf] submitted on 2019-04-30 08:44:57

Three Numbers

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents some formulas for Pi.
Category: General Mathematics

[2983] viXra:1904.0589 [pdf] submitted on 2019-04-30 10:32:39

End of Mathematics

Authors: August Lau
Comments: Pages.

Data is abundant but has few answers. Massive data challenges mathematics when no equation exists. Data processing has no universal operator but uses a combination of operators. Physical science has done well with formal rules and equations, typically low order equation and low dimensional space. Data science lives in high/infinite dimensional space where an object has many attributes. Finally, “point set topology” liberated us from the rigidity of differential calculus and extended our mind to perceive infinite/infinitesimal objects. Our response should be to embrace more data and more operators. We should be inventors of new mathematical tools to process and interpret data.
Category: General Mathematics

[2982] viXra:1904.0453 [pdf] submitted on 2019-04-23 08:42:05

Roots of the Equation X=1+cos(3-3x)

Authors: Edgar Valdebenito
Comments: 4 Pages.

In this note we give, the three real roots of the equation: x=1+cos(3-3x) ,x real.
Category: General Mathematics

Replacements of recent Submissions

[185] viXra:1906.0357 [pdf] replaced on 2019-06-20 08:38:47

The Poisson Summation Formula Can Neither Prove Nor Disprove Riemann’s Functional Equation

Authors: Armando M. Evangelista Jr.
Comments: 4 Pages. Missing T on the title of the paper.

Riemann and others have used the Poisson summation formula to prove Riemann’s “functional” equation. But because of my latest paper The s-Parameter On The Transform Integrals Is A Constant [1], I’ve realized that the Poisson summation formula can neither prove nor disprove it.
Category: General Mathematics