General Mathematics

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Recent submissions

Any replacements are listed farther down

[3059] viXra:1910.0165 [pdf] submitted on 2019-10-10 18:32:05

Tutorial: Continuous-Function on Closed Interval Basics, with Mean-Value and Taylor Theorem Upshots

Authors: Steven Kenneth Kauffmann
Comments: 5 Pages.

This tutorial explores the relation of the local concept of a function's continuity to its global consequences on closed intervals, such as a continuous function's unavoidable boundedness on a closed interval, its attainment of its least upper and greatest lower bounds on that interval, and its unavoidable assumption on that closed interval of all of the values which lie between that minimum and maximum. In a nutshell, continuous functions map closed intervals into closed intervals. It is understandable that verifying this astonishing fact involves subtle and very intricate manipulation of the least-upper-bound/greatest-lower-bound postulate for the real numbers. In conjunction with the basic inequality properties of integrals, this continuous-function fact immediately implies the integral form of the mean-value theorem, which is parlayed into its differential form by the fundamental theorem of the calculus. Taylor expansion and its error estimation are additional fascinating developments intertwined with these lines of thinking.
Category: General Mathematics

[3058] viXra:1910.0022 [pdf] submitted on 2019-10-01 11:58:09

Using the Rational Root Test to Factor with the TI-83

Authors: Timothy W. Jones
Comments: 4 Pages.

The rational root test gives a way to solve polynomial equations. We apply the idea to factoring quadratics (and other polynomials). A calculator speeds up the filtering through possible rational roots.
Category: General Mathematics

[3057] viXra:1909.0603 [pdf] submitted on 2019-09-29 14:48:48

MMM Imfinities Version 1.0 6 a4 Pages 29.09.2019) on Two Proposed Distinct Types of Imaginary (Im) Infinities ("imfinities") in Mathematics and Meta-Mathematics (Including Meta-Geometry), Emphasizing the Unlimited "Diversity" of Zero and Infinity

Authors: Andrei Lucian Dragoi
Comments: 6 Pages.

This paper proposes two distinct types of imaginary (im) infinities ("imfinities") in mathematics and meta-mathematics (including meta-geometry), emphasizing the unlimited "diversity" of zero and infinity, with far-reaching implications in all these domains, but also in math-related domains like modern physics, including the help in redefining the basics of Einstein's General relativity theory (GRT), quantum field theory (QFT), superstring theories (SSTs) and M-theory (MT). Keywords (including a list of main abbreviations): imaginary (im) infinities (“imfinities”), mathematics, metamathematics, metageometry, zero, infinity; Einstein’s General relativity theory (GRT); quantum field theory (QFT); superstring theories (SSTs); M-theory (MT);
Category: General Mathematics

[3056] viXra:1909.0550 [pdf] submitted on 2019-09-25 13:28:46

Historical Problem of Mathematics. Complex Numbers

Authors: A.I.Somsikov
Comments: 4 Pages. -

The description of the complex number which is not containing a concept of the complex plane is offered.
Category: General Mathematics

[3055] viXra:1909.0537 [pdf] submitted on 2019-09-24 07:30:46

Numbers: Part 4," Pi Representations "

Authors: Edgar Valdebenito
Comments: 3 Pages.

We give some representations of Pi.
Category: General Mathematics

[3054] viXra:1909.0536 [pdf] submitted on 2019-09-24 07:33:18

Numbers: Part 5 , Two Formulas

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents two formulas.
Category: General Mathematics

[3053] viXra:1909.0535 [pdf] submitted on 2019-09-24 07:35:55

Simpson's Rule and Simpson's 3/8 Rule

Authors: Edgar Valdebenito
Comments: 2 Pages.

Numerical evaluation of the integral: int(f(x),x=0..1)=pi/2
Category: General Mathematics

[3052] viXra:1909.0517 [pdf] submitted on 2019-09-24 16:12:58

What Was Division by Zero?; Division by Zero Calculus and New World (Compact Version)

Authors: Saburou Saitoh
Comments: This version was written for the Proceedings of ICRAMA2019 (16-18 July, 2019) with the 8 pages restriction under the requested form.

Based on the preprint survey paper, we will introduce the importance of the division by zero and its great impact to elementary mathematics and mathematical sciences for some general people. For this purpose, we will give its global viewpoint in a self-contained manner by using the related references. This version was written for the Proceedings of ICRAMA2019 (16-18 July, 2019) with the 8 pages restriction under the requested form.
Category: General Mathematics

[3051] viXra:1909.0483 [pdf] submitted on 2019-09-22 08:27:44

Tutorial: Generating All of the Real Powers from Two Simple Properties of Positive-Integer Powers

Authors: Steven Kenneth Kauffmann
Comments: 4 Pages.

This tutorial parlays two simple properties of positive-integer powers of positive numbers into a closed formula for arbitrary real-valued powers of positive numbers. The two properties are the very familiar result for the derivative of a positive-integer power of a positive real variable, and the fact that positive-integer powers of unity equal unity. Extended to real values of the powers of positive numbers, these two properties comprise a set of first-derivative linear differential equations for functions of a positive real variable, together with their initial conditions, so it isn't surprising that a unique solution is in fact forthcoming via Taylor expansion methods. The additive property of multiplied powers emerges immediately from the two properties of powers that are initially assumed, and enters prominently into working out the closed-formula result, which turns out to be a creature of the exponential function and its inverse. Logarithms are defined in terms of the inverse operation of taking powers in the familiar way, and the special base whose powers reproduce the exponential function and whose logarithms reproduce the exponential function's inverse is pointed out and developed.
Category: General Mathematics

[3050] viXra:1909.0439 [pdf] submitted on 2019-09-20 12:25:01

Number and Arithmetic Operation

Authors: A.I.Somsikov
Comments: 4 Pages. -

The meaning (logical content) of the concept of numbers is revealed. Arithmetic operations are defined.
Category: General Mathematics

[3049] viXra:1909.0421 [pdf] submitted on 2019-09-19 07:58:13

Successions and Series

Authors: Viola Maria Grazia
Comments: Pages. Successions are successions with positive terms

In this pdf there is my point of view about successions and series. I talk about when a succession (and so a serie) is said convergent making attention to the succession's definition.
Category: General Mathematics

[3048] viXra:1909.0359 [pdf] submitted on 2019-09-18 06:27:24

Mathematics as Information Compression Via the Matching and Unication of Patterns

Authors: J Gerard Wolff
Comments: 61 Pages. Accepted for publication in the journal "Complexity", 2019-09-17.

This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about 'information compression (IC) via the matching and unification of patterns' (ICMUP. That is itself a novel approach to IC, couched in terms of non-mathematical primitives, as is necessary in any investigation of the foundations of mathematics. This new perspective on the foundations of mathematics reects the idea that, as an aid to human thinking, mathematics is likely to be consonant with much evidence for the importance of IC in human learning, perception, and cognition. This perspective on the foundations of mathematics has grown out of a long-term programme of research developing the SP Theory of Intelligence and its realisation in the SP Computer Model, a system in which a generalised version of ICMUP -- the powerful concept of SP-multiple-alignment -- plays a central role. The paper shows with an example how mathematics, without any special provision, may achieve compression of information. Then it describes examples showing how variants of ICMUP may be seen in widely-used structures and operations in mathematics. Examples are also given to show how several aspects of the mathematics-related disciplines of logic and computing may be understood as ICMUP. Also discussed is the intimate relation between IC and concepts of probability, witharguments that there are advantages in approaching AI, cognitive science, and concepts of probability via ICMUP. Also discussed is how the close relation between IC and concepts of probability relates to the established view that some parts of mathematics are intrinsically probabilistic, and how that latter view may be reconciled with the all-or-nothing, 'exact', forms of calculation or inference that are familiar in mathematics and logic. There are many potential benefits and applications of the mathematics-as-IC perspective.
Category: General Mathematics

[3047] viXra:1909.0330 [pdf] submitted on 2019-09-15 08:15:06

My Contribustion in Claymath Millenium Problems:

Authors: Louiz Akram
Comments: 1 Page.

I present my contribustion in three Claymath Millenium problems.
Category: General Mathematics

[3046] viXra:1909.0288 [pdf] submitted on 2019-09-13 12:22:55

The Prime as a Consequence of Skip Number

Authors: Suraj Deshmukh
Comments: 2 Pages.

In this paper I have defined primes on the basis of "skip function" which basically is nothing but tells you how many numbers are skipped between two numbers. And we define a collection of set which I call skip set. The occurrence of a number decides weather it is prime or not.
Category: General Mathematics

[3045] viXra:1909.0283 [pdf] submitted on 2019-09-14 00:46:51

Number and Arithmetic Action

Authors: A.I.Somsikov
Comments: 4 Pages. -

Definition is given to concepts of number and arithmetic action.
Category: General Mathematics

[3044] viXra:1909.0215 [pdf] submitted on 2019-09-09 08:08:04

Simple Tesla Algorithm, the Art of Multiplying by Adding.

Authors: Zeolla Gabriel Martín
Comments: 25 Pages.

The Simple Tesla algorithm, is the art of multiplying by adding. We can use this method to calculate the product of any number with true accuracy. It has indisputable applications in various areas such as polynomials, complex numbers, binary numbers and many more. Basically multiplying is an act of repeated sums, and true to this concept is how this algorithm is developed.
Category: General Mathematics

[3043] viXra:1909.0080 [pdf] submitted on 2019-09-04 22:40:00

Division by Zero Because Next Infinity is Zero

Authors: Toshiro Takami
Comments: 5 Pages.

tan(π)=0, 0 =1, 1 =z =0 2000 When I saw this expression, I was surely suspicious. But I knew intuitively that Next infinity is zero. For me, infinite and zero were equal, that’s true now. The universe did not start with the Big Burn. The universe has existed for an infinite amount of time, and has repeated an infinite number of big burns. In other words, the universe is a repetition of Next infinity is zero.
Category: General Mathematics

[3042] viXra:1908.0619 [pdf] submitted on 2019-08-30 15:59:20

On Basic Tensor Concepts and the Taylor Series

Authors: Anamitra Palit
Comments: 7 Pages.

In this article we derive an anomalous result that with curved space time transformations have to be linear. Technical difficulties with infinitesimal space time coordinates as tensors are exposed. Analysis with the Taylor series brings out a stupendous fact that it considers only such functions as are linear in the independent variables.
Category: General Mathematics

[3041] viXra:1908.0588 [pdf] submitted on 2019-08-28 08:29:01

Algunas Integrales Relacionadas Con el Número pi

Authors: Edgar Valdebenito
Comments: 4 Pages.

En esta nota mostramos algunas integrales relacionadas con la constante Pi:pi=3.1415926535...
Category: General Mathematics

[3040] viXra:1908.0587 [pdf] submitted on 2019-08-28 08:32:25

Integrals and Series

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note present some Elementary integrals and series.
Category: General Mathematics

[3039] viXra:1908.0584 [pdf] submitted on 2019-08-28 08:45:25

Sobre Los Números: Z(n) Complex / N*z(n)=1+i*z(n)*z(n)*z(n) , N=1,2,3,...

Authors: Edgar Valdebenito
Comments: 4 Pages.

En esta nota mostramos algunas fórmulas relacionadas con las raíces de la ecuación: n*z=1+i*z*z*z,i=sqrt(-1),n=1,2,3,...,Re(z)>0,Im(z)>0.
Category: General Mathematics

[3038] viXra:1908.0502 [pdf] submitted on 2019-08-24 06:49:05

Convergent Series

Authors: Viola Maria Grazia
Comments: 1 Page.

In this article the author talk about convergent series using ordinal number.
Category: General Mathematics

[3037] viXra:1908.0453 [pdf] submitted on 2019-08-21 09:50:23

Cuadrado Mágico de Orden 13

Authors: Zeolla Gabriel Martín
Comments: 7 Pages.

Este documento demuestra el descubrimiento de patrones ocultos en los cuadrados mágicos, estos forman figuras geométricas sorprendentes Cuando reducimos los valores de un cuadrado mágico a los 9 principales dígitos, este forma 3 patrones. Dos opuestos complementarios, (estos se necesitan entre sí para lograr la armonía) y un tercero llamado equitativo el cual está organizado y en equilibrado en sí mismo
Category: General Mathematics

[3036] viXra:1908.0391 [pdf] submitted on 2019-08-18 16:34:48

Publications and Closure Theorems.

Authors: Bheemaiah, Anil Kumar
Comments: 3 Pages.

Abstract: We consider the world of scientific publications, from their journey of inception in an editor to a publication server like the DOI server. Publications live in an interactive fiction universe of text and hyper-media. We define closure operations on Camera streams, IF based Rooms and arrays of publication urls. Since we believe in open science and technology, the publications are not subjected to undue scrutiny, judgement and review by peers. They find freedom in an open repository. Formal theory of closure theorems are presented. Keywords: Publication Space, Camera Readiness, Interactive Fiction, Open Publishing, OCR, Digital Repositories, Closure Theorems, Isomorphism, Homeomorphism
Category: General Mathematics

[3035] viXra:1908.0389 [pdf] submitted on 2019-08-18 17:03:48

Cuadrado Mágico de Orden 7

Authors: Zeolla Gabriel Martín
Comments: 6 Pages. Idioma Español

Este documento demuestra el descubrimiento de patrones ocultos en los cuadrados mágicos, estos forman figuras geométricas sorprendentes Cuando reducimos los valores de un cuadrado mágico a los 9 principales dígitos, este forma 3 patrones. Dos opuestos complementarios, (estos se necesitan entre sí para lograr la armonía) y un tercero llamado equitativo el cual está organizado y en equilibrado en sí mismo.
Category: General Mathematics

[3034] viXra:1908.0387 [pdf] submitted on 2019-08-18 22:30:24

God and Mathematical Beauty III

Authors: Addie bint Ishak
Comments: 1 Page.

I discovered an evidence of the existence of God as the mathematically beautiful equality of the sum of all natural numbers.
Category: General Mathematics

[3033] viXra:1908.0365 [pdf] submitted on 2019-08-17 19:07:07

Some Associativity Results for Random Variables in Strange Groups

Authors: Bheemaiah, Anil Kumar
Comments: 7 Pages.

Abstract. Let ̃z be a bare-foot dependent path. Recently, there has been much interest in the derivation of isomorphisms on strange groups that come in the way of ~z. Let there exist a countable infinity of such groups, [[G]]. We show that [[G]] has one or more isomorphisms to a Dojo D. Keywords; Bare-foot paths, Measure Theory, Higher Operators, Strange Groups, Techno Gibberish, model theory, Dojo Theory
Category: General Mathematics

[3032] viXra:1908.0332 [pdf] submitted on 2019-08-17 05:06:48

Definition Ⅶ

Authors: Yuji Masuda
Comments: 1 Page.

This is definition ⑦
Category: General Mathematics

[3031] viXra:1908.0327 [pdf] submitted on 2019-08-15 22:31:43

Dedinition Ⅵ

Authors: Yuji Masuda
Comments: 1 Page.

This is definition⑥
Category: General Mathematics

[3030] viXra:1908.0321 [pdf] submitted on 2019-08-16 04:31:44

A Proof of Sondow's Conjecture

Authors: Wiroj Homsup
Comments: 2 Pages.

Based on the functional equation of the Dirichlet eta function, Sondow’s conjecture is proved. The advantage of a method is that it only use undergraduate mathematics.
Category: General Mathematics

[3029] viXra:1908.0272 [pdf] submitted on 2019-08-14 05:45:24

Definition Ⅴ

Authors: Yuji Masuda
Comments: 1 Page.

This is definition ⑤
Category: General Mathematics

[3028] viXra:1908.0252 [pdf] submitted on 2019-08-13 00:21:59

Dedinition Ⅳ

Authors: Yuji Masuda
Comments: 1 Page.

This is definition ④.
Category: General Mathematics

[3027] viXra:1908.0214 [pdf] submitted on 2019-08-11 12:12:46

Definition III

Authors: Yuji Masuda
Comments: 1 Page.

This is Definition III;
Category: General Mathematics

[3026] viXra:1908.0213 [pdf] submitted on 2019-08-11 12:42:25

Ensuring Efficient Convergence to a Given Stationary Distribution

Authors: Kenny Peluso
Comments: 29 Pages. Amended version of the author's undergraduate thesis, submitted 4/18

How may we find a transition matrix that guarantees the long-run convergence of a Markov Chain to a given stationary distribution? Solving for this (usually) undetermined system is non-trivial and presents unique computational challenges. Five different of methods of directly solving for a transition matrix are presented along with their limitations. Relaxations of the two core assumptions underlying these direct methods - the Identityless and Independence Assumptions - are considered. A method of generating a Mass Matrix - the transition matrix underlying hops between entire population states - is described while developing the notion of successively-bounded weak compositions. An algorithm for their exhaustive generation is also presented. Applications of some methods are provided with respect to optimizing firm profit via optimally distributing workers among wage brackets and optimizing measures of national wealth via manipulation of class distribution and immigration policy. A generalization of all applications is formulated.
Category: General Mathematics

[3025] viXra:1908.0166 [pdf] submitted on 2019-08-09 15:26:29

La Trinidad de Los Cuadrados Magicos

Authors: Zeolla Gabriel Martín
Comments: 149 Pages.

Una obra inspirada en los misteriosos y enigmáticos cuadrados Mágicos y los números de la magnificencia a los que hacía referencia Nikola Tesla.(3,6,9) Los cuadrados Mágicos eran usados como amuletos de protección, estos se forman utlizando números ordenados en armonía.
Category: General Mathematics

[3024] viXra:1908.0144 [pdf] submitted on 2019-08-07 08:26:09

Bernoulli Numbers and Pi

Authors: Edgar Valdebenito
Comments: 1 Page.

We give a formula for Pi.
Category: General Mathematics

[3023] viXra:1908.0141 [pdf] submitted on 2019-08-07 08:39:34

Numbers : Part 2

Authors: Edgar Valdebenito
Comments: 4 Pages.

We give four series for Pi.
Category: General Mathematics

[3022] viXra:1908.0102 [pdf] submitted on 2019-08-06 15:17:18

DefinitionⅡ

Authors: Yuji Masuda
Comments: 1 Page.

First, ±∞ is constant at any observation point (position).
Category: General Mathematics

[3021] viXra:1908.0100 [pdf] submitted on 2019-08-06 20:03:01

Fundamental of Mathematics; Division by Zero Calculus and a New Axiom

Authors: Saburou Saitoh
Comments: 18 Pages. The contents in this paper seem to be serious for our mathematics and for our world history with the materials in \cite{sur}. So, the author hopes that the related mathematicians, mathematical scientists and others check and consider the topics from vari

Based on the preprint survey paper (\cite{sur}), we will discuss the theoritical point of the division by zero calculus. We will need a new axiom for our mathematics. The contents in this paper seem to be serious for our mathematics and for our world history with the materials in \cite{sur}. So, the author hopes that the related mathematicians, mathematical scientists and others check and consider the topics from various viewpoints.
Category: General Mathematics

[3020] viXra:1908.0018 [pdf] submitted on 2019-08-01 13:15:35

Definition

Authors: Yuji Masuda
Comments: 1 Page.

±∞ is constant at any observation point (position).
Category: General Mathematics

[3019] viXra:1908.0015 [pdf] submitted on 2019-08-01 22:59:14

Why Finite Mathematics Is More Fundamental Than Classical One

Authors: Felix M Lev
Comments: 9 Pages.

In our previous publications we have proved that quantum theory based on finite mathematics is more fundamental than standard quantum theory, and, as a consequence, finite mathematics is more fundamental than classical one. The goal of the present paper is to explain without formulas why those conclusions are natural.
Category: General Mathematics

[3018] viXra:1907.0534 [pdf] submitted on 2019-07-26 08:31:02

Elementary Sums

Authors: Edgar Valdebenito
Comments: 3 Pages.

We recall some Elementary sums for Pi.
Category: General Mathematics

[3017] viXra:1907.0531 [pdf] submitted on 2019-07-26 08:35:13

Pi , Three Series

Authors: Edgar Valdebenito
Comments: 2 Pages.

We give three series for Pi.
Category: General Mathematics

[3016] viXra:1907.0527 [pdf] submitted on 2019-07-26 10:43:36

Sense Theory. Sense Function

Authors: Egger Mielberg
Comments: 12 Pages.

The Sense Theory is not a part of traditional mathematics. It is a new paradigm of how we can formalize complex cognitive processes of the human brain. The basis of the theory is a sense function which determines sense conformity between a set of objects or/and events and a single subject (described object/event). The sense function has a series of unique properties that can help find associative connections between trillions different-type objects/events. By the function, we can investigate a whole process of forming a single sense of big data set of different business or scientific events.
Category: General Mathematics

Replacements of recent Submissions

[192] viXra:1910.0165 [pdf] replaced on 2019-10-12 16:29:46

Tutorial: Continuous-Function on Closed Interval Basics, with Mean-Value and Taylor Theorem Upshots

Authors: Steven Kenneth Kauffmann
Comments: 4 Pages.

This tutorial explores the relation of the local concept of a function's continuity to its global consequences on closed intervals, such as a continuous function's unavoidable boundedness on a closed interval, its attainment of its least upper and greatest lower bounds on that interval, and its unavoidable assumption on that closed interval of all of the values which lie between that minimum and maximum. In a nutshell, continuous functions map closed intervals into closed intervals. It is understandable that verifying this local-to-global fact involves subtle and very intricate manipulation of the least-upper-bound/greatest-lower-bound postulate for the real numbers. In conjunction with the basic inequality properties of integrals, this continuous-function fact immediately implies the integral form of the mean-value theorem, which is parlayed into its differential form by the fundamental theorem of the calculus. Taylor expansion and its error estimation are further developments which are intertwined with these fascinating concepts.
Category: General Mathematics

[191] viXra:1910.0022 [pdf] replaced on 2019-10-08 04:49:08

Using the Rational Root Test to Factor with the TI-83

Authors: Timothy W. Jones
Comments: 5 Pages. Further corrections and amplifications.

The rational root test gives a way to solve polynomial equations. We apply the idea to factoring quadratics (and other polynomials). A calculator speeds up the filtering through possible rational roots.
Category: General Mathematics

[190] viXra:1910.0022 [pdf] replaced on 2019-10-06 06:08:11

Using the Rational Root Test to Factor with the TI-83

Authors: Timothy W. Jones
Comments: 4 Pages. Corrections and amplifications.

The rational root test gives a way to solve polynomial equations. We apply the idea to factoring quadratics (and other polynomials). A calculator speeds up the filtering through possible rational roots.
Category: General Mathematics

[189] viXra:1909.0483 [pdf] replaced on 2019-09-29 20:36:38

Tutorial: The Real Powers from Extension of Two Determining Properties of Positive-Integer Powers

Authors: Steven Kenneth Kauffmann
Comments: 5 Pages.

This tutorial parlays two determining properties of positive-integer power functions of a positive real variable into closed formulas for the real power functions of a positive real variable. These two determining properties are that any positive-integer power of unity equals unity, and the linear first-order differential equation that a positive-integer power function of a real positive variable satisfies, which is implicit in its derivative. These two determining properties of positive-integer power functions of a positive real variable are extended to arbitrary real values of the positive-integer power. The extended linear first-order differential equations and initial conditions are then used to generate the Taylor expansions of those real power functions of a positive real variable around the zero value of the real power; this can be carried out in at least two different ways. Those Taylor expansions converge for every real value of the power and every positive real value of the variable, and are readily reexpressed entirely in terms of the exponential function and its inverse; one thus has closed formulas for all the real power functions of a positive real variable. Logarithms describe arbitrary positive numbers as real powers of a given positive number; they can expressed entirely in terms of the exponential function's inverse. The value of the particular positive constant whose powers yield the exponential function itself is worked out.
Category: General Mathematics

[188] viXra:1909.0080 [pdf] replaced on 2019-09-18 22:02:27

Division by Zero Because Next Infinity is Zero

Authors: Toshiro Takami
Comments: 4 Pages.

tan(π)=0, 0 =1, 1 =z =0 2000 When I saw this expression, I was surely suspicious. But I knew intuitively that Next infinity is zero. For me, infinite and zero were equal, that’s true now. The universe did not start with the Big Burn. The universe has existed for an infinite amount of time, and has repeated an infinite number of big burns. In other words, the universe is a repetition of Next infinity is zero.
Category: General Mathematics

[187] viXra:1909.0080 [pdf] replaced on 2019-09-08 16:25:04

Division by Zero Because Next Infinity is Zero

Authors: Toshiro Takami
Comments: 4 Pages.

tan(π)=0, 0 =1, 1 =z =0 2000 When I saw this expression, I was surely suspicious. But I knew intuitively that Next infinity is zero. For me, infinite and zero were equal, that’s true now. The universe did not start with the Big Burn. The universe has existed for an infinite amount of time, and has repeated an infinite number of big burns. In other words, the universe is a repetition of Next infinity is zero.
Category: General Mathematics

[186] viXra:1908.0214 [pdf] replaced on 2019-08-13 00:20:19

Definition Ⅲ

Authors: Yuji Masuda
Comments: 1 Page.

This is Definition ③.
Category: General Mathematics