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(37) - 1805(37) - 1806(8) - 1807(8) - 1808(164) - 1809(77) - 1810(20) - 1811(5) - 1812(13)
2019 - 1901(9) - 1902(12) - 1903(5) - 1904(9) - 1905(7)

Recent submissions

Any replacements are listed farther down

[2996] 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

[2995] 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

[2994] 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

[2993] viXra:1905.0187 [pdf] submitted on 2019-05-14 00:16:05

Collapse of the Riemann empire

Authors: Toshiro Takami
Comments: 4 Pages.

As the number grows close to the limit, 0.5 becomes equal to zero. This is why Riemann hypothesis can not be proved. That is Riemann hypothesis is a mistake.
Category: General Mathematics

[2992] 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

[2991] 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

[2990] 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

[2989] 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

[2988] 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

[2987] 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

[2986] 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

[2985] 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

[2984] viXra:1904.0298 [pdf] submitted on 2019-04-15 08:28:41

Explorando Una Fórmula de Ramanujan

Authors: Edgar Valdebenito
Comments: 5 Pages.

En esta nota recordamos una fórmula de Ramanujan y mostramos algunos resultados relacionados con dicha fórmula.
Category: General Mathematics

[2983] viXra:1904.0184 [pdf] submitted on 2019-04-09 11:32:00

Interpolating Values in Code Space

Authors: Adam Bourne
Comments: 20 Pages.

A method is described for interpolating un-sampled values attributed to points in code space. A metric is used which counts the number of non-equal corresponding indices shared by two given points. A generalised interpolation equation is derived for nets, which is then applied specifically to code space. This interpolation equation is then solved in general for a set of given known sampled values in the space.
Category: General Mathematics

[2982] viXra:1904.0028 [pdf] submitted on 2019-04-02 20:08:20

Division by Zero and Bh\={a}skara's Example

Authors: Saburou Saitoh, Yoshinori Saitoh
Comments: 10 Pages. In this paper, from an example of Bh\={a}skara, we will see the result $1/0=0/0=0$. {\bf This very simple and clear example will be very attractive for general people over mathematicians}.

In this paper, we will introduce the division by zero calculus and Bh\={a}skara's simple example which shows clearly both $1/0=0$ and $0/0=0$.
Category: General Mathematics

[2981] viXra:1904.0022 [pdf] submitted on 2019-04-01 07:34:05

Sobre Una Integral Del Tipo Frullani

Authors: Edgar Valdebenito
Comments: 4 Pages.

En esta nota se presentan algunas fórmulas relacionadas con una integral del tipo Frullani.
Category: General Mathematics

[2980] viXra:1903.0535 [pdf] submitted on 2019-03-29 09:56:35

A Paradigm Shift in Mathematics

Authors: Savior F. Eason
Comments: 24 Pages.

An introduction and explanation of easometric theorems, the easonic standard model, and other paradigm shifts in mathematics brought by coecis; And an explanation of what coecis actually is, why it's so important, what the discovery says, and how it's useful pragmatically.
Category: General Mathematics

[2979] viXra:1903.0280 [pdf] submitted on 2019-03-14 12:05:33

Investigation of the Characteristics of the Zeros of the Riemann Zeta Function in the Critical Strip Using Implicit Function Properties of the Real and Imaginary Components of the Dirichlet Eta Function V2

Authors: Andrew Alexander Logan
Comments: 9 Pages, 3 Figures Small addition on convergence of harmonic addition result for infinite series.

This paper investigates the characteristics of the zeros of the Riemann zeta function (of s) in the critical strip by using the Dirichlet eta function, which has the same zeros. The characteristics of the implicit functions for the real and imaginary components when those components are equal are investigated and it is shown that the function describing the value of the real component when the real and imaginary components are equal has a derivative that does not change sign along any of its individual curves - meaning that each value of the imaginary part of s produces at most one zero. Combined with the fact that the zeros of the Riemann xi function are also the zeros of the zeta function and xi(s) = xi(1-s), this leads to the conclusion that the Riemann Hypothesis is true.
Category: General Mathematics

[2978] viXra:1903.0184 [pdf] submitted on 2019-03-10 20:57:02

Who Did Derive First the Division by Zero $1/0$ and the Division by Zero Calculus $\tan(\pi/2)=0, \log 0=0$ as the Outputs of a Computer?

Authors: Saburou Saitoh
Comments: 9 Pages. The results of José Manuel Rodríguez Caballero will be important historically on the division by zero calculus and so, we would like to know the exact information.

In this short paper, we will introduce an essence of the division by zero calculus and the situation from the viewpoint of computers that will contain a surprising news on the division by zero calculus.
Category: General Mathematics

[2977] viXra:1903.0087 [pdf] submitted on 2019-03-05 15:06:40

Euler-Mascheroni Irrationality Proof

Authors: F.L.B. Périat
Comments: 2 Pages.

A new lemma that permits it's proof
Category: General Mathematics

[2976] viXra:1903.0067 [pdf] submitted on 2019-03-04 12:49:54

The Third International Scientific Conference of the Faculty of Nursing Port Said University 2017 Neutrosophic Information Systems and Nursing Scientific Research.

Authors: A.A. Salama, Florentin Smarandache
Comments: 5 Pages.

Abstracts for The Third International Scientific Conference of the Faculty of Nursing Port Said University 2017, Neutrosophic Information Systems and Nursing Scientific Research.
Category: General Mathematics

Replacements of recent Submissions

[176] viXra:1904.0315 [pdf] replaced on 2019-05-16 05:41:40

Time and Continuum: Zenon Manifold

Authors: D. Chakalov
Comments: 6 Pages. Text expanded and references added.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold.
Category: General Mathematics

[175] viXra:1904.0315 [pdf] replaced on 2019-05-12 04:17:46

Time and Continuum: Zenon Manifold

Authors: D. Chakalov
Comments: 6 Pages.

Ensuing from first principles, I suggest pre-geometric theory of spacetime, in which the apex of light cone ‘here and now’ is not modeled with dimensionless point, but with non-trivial mathematical object along null intervals, endowed with brand new structure, topology and dynamics, and defined on so-called Zenon manifold.
Category: General Mathematics

[174] viXra:1903.0280 [pdf] replaced on 2019-05-01 10:29:29

Investigation of the Characteristics of the Zeros of the Riemann Zeta Function in the Critical Strip Using Implicit Function Properties of the Real and Imaginary Components of the Dirichlet Eta Functionv3 Poster

Authors: Andrew Alexander Logan
Comments: 1 page A0 poster, 3 figures

This poster investigates the characteristics of the zeros of the Riemann zeta function (of s) in the critical strip by using the Dirichlet eta function, which has the same zeros. The characteristics of the implicit functions for the real and imaginary components when those components are equal are investigated and it is shown that the function describing the value of the real component when the real and imaginary components are equal has a derivative that does not change sign along any of its individual curves - meaning that each value of the imaginary part of s produces at most one zero. Combined with the fact that the zeros of the Riemann xi function are also the zeros of the zeta function and xi(s) = xi(1-s), this leads to the conclusion that the Riemann Hypothesis is true.
Category: General Mathematics