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Preprint ARTICLE | doi:10.20944/preprints202404.0872.v1

Enhancing Portfolio Allocation: A Random Matrix Theory Perspective

Fabio Vanni, Asmerilda Hitaj, Elisa Mastrogiacomo

Subject: Computer Science And Mathematics, Mathematics Keywords: portfolio selection; networks; dependence structure; Random Matrix Theory; Hilbert Transformation

Online: 15 April 2024 (11:25:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0725.v1

Green Measures for a Class of Non-markov Processes

Herry P. Suryawan, José L. da Silva

Subject: Computer Science And Mathematics, Mathematics Keywords: Fractional Brownian motion; generalized grey Brownian motion; Green measure; subordination

Online: 10 April 2024 (09:55:43 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202402.1120.v2

Introducing Novel Geometric Insights and Three-Dimensional Depictions of the Pythagorean Theorem for Any Triangles

Marco Aurélio Dos Santos Bernardes

Subject: Computer Science And Mathematics, Mathematics Keywords: Pythagorean theorem; three-dimensional space; triangles; three-dimensional geometric shape; Triangle Midsegment Theorem

Online: 9 April 2024 (12:17:11 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0484.v1

On Approximate Variational Inequalities and Bilevel Programming Problems

Balendu Bhooshan Upadhyay, I. M. Stancu-Minasian, Subham Poddar, Priyanka Mishra

Subject: Computer Science And Mathematics, Mathematics Keywords: limiting subdifferentials; ϵ-quasi solutions; approximate convex functions; variational inequalities

Online: 8 April 2024 (16:35:51 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0536.v1

Multi-Dimensional Integral Transform with Fox Function in Kernel on Lebesgue-Type Spaces

Sergey Sitnik, Oksana Skoromnik

Subject: Computer Science And Mathematics, Mathematics Keywords: Multi-dimensional integral transform; Fox H-function; Melling transform; weighted space; fractional integrals and derivatives

Online: 8 April 2024 (11:43:19 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.1598.v2

The Elba Curves

Elkhan B Beylarov, Ilyas R Hasanov

Subject: Computer Science And Mathematics, Mathematics Keywords: Fermat's last theorem; circle; ellipse; triangle; n-degree curves; equations

Online: 5 April 2024 (16:27:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202403.1316.v2

Peter Chew Sum: Beyond Newton Sum in Quadratic Root Function Computations

Peter Chew

Subject: Computer Science And Mathematics, Mathematics Keywords: Peter Chew Sum; Newton's Sum; Quadratic; Root; Function; Computations ;

Online: 5 April 2024 (03:16:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v17

Resolving the Collatz Conjecture: A Rigorous Proof through Inverse Discrete Dynamical Systems and Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: discrete dynamical systems; inverse modeling; topological equivalence; topological transport; algebraic trees; collatz conjecture; homeomorphic invariance

Online: 2 April 2024 (11:53:22 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v16

Resolving the Collatz Conjecture: A Rigorous Proof through Inverse Discrete Dynamical Systems and Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: discrete dynamical systems; inverse modeling; topological equivalence; topological transport; algebraic trees; collatz conjecture; homeomorphic invariance

Online: 29 March 2024 (11:23:27 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1680.v1

Existence and Nonexistence of Positive Solutions for Semilinear Elliptic Equations Involving Hardy-Sobolev Critical Exponents

Lin-Lin Wang, Yong-Hong Fan

Subject: Computer Science And Mathematics, Mathematics Keywords: semilinear elliptic equation; Hardy-Sobolev critical exponents; Mountain Pass Lemma; (PS)c condition

Online: 27 March 2024 (15:07:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1687.v1

Existences Results for Some Nonsingular $p$-Kirchhoff Problems with $\psi$-Hilfer Fractional Derivative

Hadeel Z. Alzumi, Wafa Shammakh, Abdeljabbar Ghanmi

Subject: Computer Science And Mathematics, Mathematics Keywords: Fractional calculus; Variational methods; $\psi$-Hilfer operators, Existence of solution.

Online: 27 March 2024 (13:38:19 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1598.v1

The Elba Curves

Elkhan B Beylarov, Ilyas R Hasanov

Subject: Computer Science And Mathematics, Mathematics Keywords: Fermat's last theorem; circle; ellipse; triangle; n-degree curves; equations

Online: 26 March 2024 (12:27:57 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1535.v1

The General Solution to a Classical Matrix Equation AXB=C over the Dual Split Quaternion Algebra

Kai-Wen Si, Qing-Wen Wang

Subject: Computer Science And Mathematics, Mathematics Keywords: dual split quaternion; real representation; matrix equation; general solution

Online: 26 March 2024 (11:51:23 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v15

Resolving the Collatz Conjecture: A Rigorous Proof through Inverse Discrete Dynamical Systems and Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: discrete dynamical systems; inverse modeling; topological equivalence; topological transport; algebraic trees; collatz conjecture; homeomorphic invariance

Online: 26 March 2024 (11:50:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1551.v1

Exploring the Impact of Deep Learning Activities in the Mathematics Classroom on Students’ Academic Performance: A Comprehensive Study

Enoch Suglo

Subject: Computer Science And Mathematics, Mathematics Keywords: Deep learning; academic performance; mathematics

Online: 26 March 2024 (08:23:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1316.v1

Weighing the Pros and Cons of Newton’s Sum in Quadratic Root Function Computations Analysis

Peter Chew

Subject: Computer Science And Mathematics, Mathematics Keywords: Newton's Sum; Quadratic; ; Root; Function; Computations ;

Online: 26 March 2024 (02:48:26 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1461.v1

On δP-approximation Spaces

Faik Mayah, Huda Mohsin

Subject: Computer Science And Mathematics, Mathematics Keywords: Rough sets; Upper and lower approximations; P-open sets; δ P-open sets

Online: 25 March 2024 (11:15:54 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1386.v1

A Nonlinear ODE Model for a Consumeristic Society

Marino Badiale, Isabella Cravero

Subject: Computer Science And Mathematics, Mathematics Keywords: Human and nature dynamics; ODE systems for society dynamics; Ecological- Economic Modeling

Online: 22 March 2024 (14:44:07 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1214.v1

The Feit-Thompson Conjecture: An Example for Mathematical Research Based on Contradictory Sources

Carolin Hannusch

Subject: Computer Science And Mathematics, Mathematics Keywords: Feit-Thompson conjecture; prime numbers; mathematical research; research education; twin primes, generalized twin prime conjecture

Online: 21 March 2024 (01:53:40 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v14

The Collatz Conjecture: A New Proof using Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Discrete dynamical systems; Inverse modeling; Topological equivalence; Topological transport; Algebraic trees; Collatz Conjecture; Homeomorphic invariance

Online: 18 March 2024 (10:42:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0390.v1

On Induced Topologies by Ideal, Primal, Filter and Grill

Milan Matejdes

Subject: Computer Science And Mathematics, Mathematics Keywords: ideal; prima; grill; filter; local function; finer topology; compatibility; codense system

Online: 7 March 2024 (08:09:59 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0016.v1

RBF Neural Networks-Based Near-Optimal Tracking Control of Partially Unknown Discrete-Time Nonlinear Systems

Huang Jiashun, Xu Dengguo, Li Yahui, Ma Yan

Subject: Computer Science And Mathematics, Mathematics Keywords: adaptive dynamic programming; optimal tracking control; RBF neural network; nonlinear systems

Online: 1 March 2024 (13:12:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1667.v1

On Gohar Fractional Calculus

Abdelrahman Gohar, Mayada Younes, Salah Doma

Subject: Computer Science And Mathematics, Mathematics Keywords: ; Gohar fractional calculus; Gohar fractional Laplace transform; Gohar fractional power series expansion; Left and right Gohar fractional derivatives; Left and right Gohar fractional integrals ;

Online: 29 February 2024 (09:13:33 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1463.v1

About Bellman Principle and Solution Properties of Navier–Stokes Equations in the 3d Cauchy Problem

Vladimir I. Semenov

Subject: Computer Science And Mathematics, Mathematics Keywords: Navier-Stokes equations 1; blow up solution 2; regular solution 3

Online: 26 February 2024 (14:14:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1328.v1

Removable Singularities of Harmonic Functions on Stratified Sets

Nurlan S. Dairbekov, Oleg M. Penkin, Denis V. Savasteev

Subject: Computer Science And Mathematics, Mathematics Keywords: stratified measure; soft Laplacian; mean value; gradient flux

Online: 23 February 2024 (08:35:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1327.v1

Strict Sense Minimizers Which Are Not Extended Minimizers and Abnormality

Giovanni Fusco, Monica Motta

Subject: Computer Science And Mathematics, Mathematics Keywords: Optimal control problems; Maximum principle; State constraints; Gap phenomena; Impulsive optimal control

Online: 23 February 2024 (08:33:55 CET)

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Preprint ARTICLE | doi:10.20944/preprints202309.0513.v5

A Modest Contribution to the Riemann Hypothesis Using the Poincaré Index

Hime Oliveira

Subject: Computer Science And Mathematics, Mathematics Keywords: Riemann hypothesis; Riemann zeta function; Poincaré; index; Dirichlet eta function.

Online: 21 February 2024 (04:40:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1134.v1

Division by Zero: Using Semi-structured Complex Numbers to Find the Inverse of a Singular Matrix and Show Its Applications

Peter Jean Paul, Shanaz Wahid

Subject: Computer Science And Mathematics, Mathematics Keywords: division by zero; inverse of a singular matrix; singular matrix; semi-structured complex numbers; projective geometry

Online: 21 February 2024 (03:45:11 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1120.v1

Introducing Novel Geometric Insights and Three-Dimensional Depictions of the Pythagorean Theorem for any Triangles

Marco Aurélio Dos Santos Bernardes

Subject: Computer Science And Mathematics, Mathematics Keywords: Pythagorean theorem; three-dimensional space; triangles; three-dimensional geometric shape; Triangle Midsegment Theorem

Online: 20 February 2024 (09:00:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1042.v1

A First Approach to Quantum Logical Shape Classification Framework

Alexander Köhler, Marvin Kahra, Michael Breuß

Subject: Computer Science And Mathematics, Mathematics Keywords: quantum logic; principal component analysis; shape classification; Hilbert space

Online: 19 February 2024 (10:24:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0399.v1

On Adaptive Identification of Interconnected Systems

Nikolay Karabutov

Subject: Computer Science And Mathematics, Mathematics Keywords: excitation constancy, geometric structure, Lyapunov exponent, structural identification, structural identifiability, S-synchronization

Online: 7 February 2024 (11:50:18 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0242.v1

A Unified Statistical Relativistic Theory of the Generalized Brownian Motion Manifold

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Mathematics Keywords: Einsteinian Relativities; the Generalized Brownian Motion; information geometry

Online: 5 February 2024 (07:59:57 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202401.0551.v4

Metallic Ratios and Angles of a Real Argument

Szymon Łukaszyk

Subject: Computer Science And Mathematics, Mathematics Keywords: metallic ratios; metallic angles; Pythagorean triples; emergent dimensionality; mathematical physics

Online: 2 February 2024 (04:33:46 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.2213.v1

Solvability Criterion for a System Arising from Monge-Amp`ere Equations with Two Parameters

Liangyu Wang, Hongyu Li

Subject: Computer Science And Mathematics, Mathematics Keywords: fixed point theorem; Monge-Ampere equations; boundary value problem

Online: 31 January 2024 (11:05:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1488.v2

A Proof of Collatz Conjecture Using Pyramid Fractions

Mehdi Khoshakhlagh Varnosfaderani

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz conjecture; 3x+1 problem; Syracuse problem; pyramid fraction; Ulam’ s conjecture; Kakutani’ s problem

Online: 30 January 2024 (12:51:11 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.2058.v1

Continuous Multi-utility Representations of Preorders and the Chipman Approach

Gianni Bosi, Roberto Daris, Magalì Zuanon

Subject: Computer Science And Mathematics, Mathematics Keywords: Hausdorff space; Continuous multi-utility representation; order-embedding; semi-closed preorder

Online: 30 January 2024 (04:01:45 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1877.v1

Nonlinear Differential Equation and SIS Epidemiological Model with a Time Delay Bounded by Two Positive Functions

Iveta Ilavská, Zuzana Malacká

Subject: Computer Science And Mathematics, Mathematics Keywords: nonlinear differential equation with time delay; SIS model; epidemiological model; positive solution

Online: 26 January 2024 (09:38:06 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1488.v1

A Proof of Collatz Conjecture Using Pyramid Fractions

Mehdi Khoshakhlagh Varnosfaderani

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz conjecture; 3x+1 problem; Syracuse problem; pyramid fraction; Ulam’ s conjecture; Kakutani’ s problem

Online: 19 January 2024 (13:14:04 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1233.v1

An Algorithm Based on CUDA for Estimating Covering Functionals of Convex Bodies

Xiangyang Han, Senlin Wu, Longzhen Zhang

Subject: Computer Science And Mathematics, Mathematics Keywords: Hadwiger’s covering problem; covering functionals; CUDA; error estimation

Online: 16 January 2024 (12:32:18 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1238.v1

A Review Study of Prime Period Perfect Gaussian Integer Sequences

Ho-Hsuan Chang, Shiqi Guan, Miaowang Zeng, Peiyao Chen

Subject: Computer Science And Mathematics, Mathematics Keywords: correlation function; degree; perfect sequence; PGIS

Online: 16 January 2024 (12:28:06 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202401.0551.v3

Metallic Ratios are Defined by an Argument of a Normalized Complex Number

Szymon Łukaszyk

Subject: Computer Science And Mathematics, Mathematics Keywords: metallic ratios; Pythagorean triples; emergent dimensionality; mathematical physics

Online: 16 January 2024 (06:19:33 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1070.v1

Exact Closed-Form M/D/c Queueing Delay Formula

David Tung Chong Wong

Subject: Computer Science And Mathematics, Mathematics Keywords: M/D/c Queue; Poisson Arrivals; Deterministic (Constant) Service Time; c Multiple Servers; root(s) of an equation; mean number of customers; mean queueing delay

Online: 15 January 2024 (08:50:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0843.v1

Nonlocal Boundary Problem for a Loaded Equation of Mixed Type in a Special Domain

Islomov Bozor, Yunusov Oybek, Abdullaev Akmaljon

Subject: Computer Science And Mathematics, Mathematics Keywords: loaded equation; nonlocal boundary value problem; mixed type equation; general solution representation; integral Volterra equation with shift; fractional derivatives

Online: 10 January 2024 (14:22:51 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202401.0551.v2

Metallic Ratios are Defined by an Argument of a Normalized Complex Number

Szymon Łukaszyk

Subject: Computer Science And Mathematics, Mathematics Keywords: metallic ratios; Pythagorean triples; emergent dimensionality

Online: 10 January 2024 (04:28:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0328.v2

Dissipative Chaotic Itinerancy and the Dirichlet Eta Function

Hime Oliveira

Subject: Computer Science And Mathematics, Mathematics Keywords: Dirichlet Eta function; Samsara; Moksha; Quasi-attractor; Bifurcation; Chaotic Itinerancy

Online: 8 January 2024 (06:30:30 CET)

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This work presents a new type of chaotic dynamical system originated from Dirichlet Eta function. Although the exposition describes only a bidimensional instance, it is certainly possible to construct higher dimensional such models. The novelty resides in the multitude of interesting characteristics concentrated in only one kind of dynamical system, mainly because of its simple abstract definition - it provokes dissipative, chaotic and itinerant behavior, and its paths typically display nonrecurring quasi-attractors and associate regions of ruin. In addition, it is discrete and nonautonomous, being additively driven by a simple real vector sequence. Also, the defining formulas have parameters which permit to activate bifurcatory effects, mainly related to setting the number of quasi-attractors and overall geometric complexity and diversity. In this fashion, it holds a certain similarity with classical itinerant chaotic systems, but it is a completely different object. One of its parameters is very influential and may be intuitively compared to a type of "potential energy", capable of changing the duration of sojourns etc. In this fashion, there is a potential opportunity to employ artificial inference techniques for designing specific structures on paths. Of course, the other parameters are also relevant, but not necessarily in the control of the number of quasi-attractors and the permanence periods near them. It is important to state that the described system was found during a previous investigation about certain features of the Riemann hypothesis, using the Dirichlet Eta function instead of the Riemann Zeta function - the components of the system under study here were part of certain series whose convergence had to be established, and that scenario produced this very positive side effect. The text also suggests an atypical, but important, potential application in philosophy: the representation of the Hindu concepts of Samsara and Moksha.

Preprint COMMUNICATION | doi:10.20944/preprints202401.0551.v1

Metallic Ratios are Uniquely Defined by an Acute Angle of a Right Triangle

Szymon Łukaszyk

Subject: Computer Science And Mathematics, Mathematics Keywords: metallic ratios; Pythagorean triples; emergent dimensionality

Online: 8 January 2024 (06:20:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0449.v1

Hongpeng Wang, Chenglong Li

Subject: Computer Science And Mathematics, Mathematics Keywords: Pythagorean fuzzy sets; Tanimoto similarity measure; distance measure; pattern recognition; medical diagnosis; multi-attribute decision-making

Online: 5 January 2024 (12:02:37 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2321.v2

Galactic Spiral from ROTASE Model with Large Enough ρ Is Equivalent to Archimedean Spiral

Hongjun Pan

Subject: Computer Science And Mathematics, Mathematics Keywords: Galactic spiral; Prime spiral; ROTASE model; X-matter

Online: 4 January 2024 (07:24:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0328.v1

Dissipative Chaotic Itinerancy and the Dirichlet Eta Function

Hime Oliveira

Subject: Computer Science And Mathematics, Mathematics Keywords: Dirichlet Eta function; Samsara; Moksha; Quasi-attractor; Bifurcation; Chaotic Itinerancy

Online: 4 January 2024 (07:11:12 CET)

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This work presents a new type of chaotic dynamical system originated from Dirichlet Eta function. Although the exposition describes only a bidimensional instance, it is certainly possible to construct higher dimensional such models. The novelty resides in the multitude of interesting characteristics concentrated in only one kind of dynamical system, mainly because of its simple abstract definition - it provokes dissipative, chaotic and itinerant behavior, and its paths typically display nonrecurring quasi-attractors and associate regions of ruin. In addition, it is discrete and nonautonomous, being additively driven by a simple real vector sequence. Also, the defining formulas have parameters which permit to activate bifurcatory effects, mainly related to setting the number of quasi-attractors and overall geometric complexity and diversity. In this fashion, it holds a certain similarity with classical itinerant chaotic systems, but it is a completely different object. One of its parameters is very influential and may be intuitively compared to a type of "potential energy", capable of changing the duration of sojourns etc. In this fashion, there is a potential opportunity to employ artificial inference techniques for designing specific structures on paths. Of course, the other parameters are also relevant, but not necessarily in the control of the number of quasi-attractors and the permanence periods near them. It is important to state that the described system was found during a previous investigation about certain features of the Riemann hypothesis, using the Dirichlet Eta function instead of the Riemann Zeta function - the components of the system under study here were part of certain series whose convergence had to be established, and that scenario produced this very positive side effect. The text also suggests an atypical, but important, potential application in philosophy: the representation of the Hindu concepts of Samsara and Moksha.

Preprint ARTICLE | doi:10.20944/preprints202401.0032.v1

A Natural Origin of the Beautiful Gamma Function from the WJ Distribution

JunHua Wu, Geying Liang, Qiong Jia

Subject: Computer Science And Mathematics, Mathematics Keywords: Gamma function; WJ distribution; integral function; bi-exponent; computation; statistics.

Online: 3 January 2024 (03:57:40 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2272.v1

Tractability of Approximation of Functions Defined over Weighted Hilbert Spaces

Huichao Yan, Jia Chen

Subject: Computer Science And Mathematics, Mathematics Keywords: multivariate approximation; information complexity; tractability; weighted Hilbert spaces

Online: 2 January 2024 (01:52:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2321.v1

Galactic Spiral from ROTASE Model with Large Enough ρ Is Equivalent to Archimedean Spiral

Hongjun Pan

Subject: Computer Science And Mathematics, Mathematics Keywords: Galactic spiral; Prime spiral; ROTASE model; X-matter.

Online: 29 December 2023 (14:40:21 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2216.v1

Fermatean Fuzzy Versions of Tanimoto Similarity Measure and Distance Measure and Their Application to Decision-Making Processes

Hongpeng Wang, Caikuan Tuo, Guoye Feng, Chenglong Li

Subject: Computer Science And Mathematics, Mathematics Keywords: Fermatean fuzzy sets; similarity measures; distance measures; pattern recognition; medical diagnosis; multiple-attribute decision-making

Online: 29 December 2023 (11:56:34 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v13

The Collatz Conjecture: A New Proof using Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Conjecture; Algebraic Inverse Trees; Formal Proof; Topological Framework; Inverse Graph Characterization; Path Convergence; Cycles Absence; Recursive Number Sequences; Discrete Mathematics Structures

Online: 29 December 2023 (01:14:06 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2158.v1

New Equivalent of the Riemann Hypothesis

Leonardo De Lima

Subject: Computer Science And Mathematics, Mathematics Keywords: zeta function; Riemann hypothesis; critical strip

Online: 28 December 2023 (10:17:44 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1856.v1

Inference of Stress-Strength Reliability Based on Adaptive Progressive Type-II Censing from Bath Tube Distribution with Application to Carbon Fiber Data

Essam A. Ahmed

Subject: Computer Science And Mathematics, Mathematics Keywords: Chen distribution; Stress-strength reliability; Maximum likelihood estimator; Delta method; Bootstrap; Bayes estimator; Markov Chain Monte Carlo; Adaptive progressive censored

Online: 26 December 2023 (02:22:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1434.v1

On Bicomplex (p,q)-Fibonacci Quaternions

Çağla Çelemoğlu

Subject: Computer Science And Mathematics, Mathematics Keywords: p,q- Fibonacci number; p,q- Fibonacci quaternion; bicomplex fibonacci number; generating function; catalan identity

Online: 19 December 2023 (11:51:04 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1403.v1

Semi-Structured Complex Numbers:Extending the Cauchy–Riemann Equations and developing Semi-Structured Complex Analytic Functions

Peter Jean Paul, Shanaz Wahid

Subject: Computer Science And Mathematics, Mathematics Keywords: Semi-structured Complex numbers; Semi-structured Complex analytic functions; Cauchy– Riemann Equations; Laplace Equation; Poisson Equation

Online: 19 December 2023 (08:01:08 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0573.v2

The Archimedean Origin of Modern Positional Number Systems

Vincenzo Manca

Subject: Computer Science And Mathematics, Mathematics Keywords: Number Representation Systems; Zeroless positional systems; Arithmetic Algorithms; Ordinals; Recursive enumerability

Online: 12 December 2023 (10:55:21 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0676.v1

Geometric Properties of a Linear Operator Involving Lambert Series and Rabotnov Function

Jamal Salah

Subject: Computer Science And Mathematics, Mathematics Keywords: Univalent; Starlike; Convex; Hadamard product; Lambert series; Sum of divisors function; Robin’ s inequalities; Riemann hypothesis; Rabotnov function

Online: 11 December 2023 (12:16:12 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0573.v1

The Archimedean Origin of Modern Positional Number Systems

Vincenzo Manca

Subject: Computer Science And Mathematics, Mathematics Keywords: Number Representation Systems; Zeroless positional systems; Arithmetic Algorithms; Ordinals; Recursive enumerability

Online: 8 December 2023 (10:06:12 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0596.v1

Multi-Objective Optimization by Means of Pairs of Functions

Gianni Bosi, Daris Roberto, Magalì Zuanon

Subject: Computer Science And Mathematics, Mathematics Keywords: Pareto optimal elemen; Bi-multi-objective optimization; Interval order; Ambiguity; Markowitz portfolio selection

Online: 8 December 2023 (09:17:23 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0504.v1

Dynamic System Identification via Randomized Stochastic Optimization Under Unknown-but-Bounded Noise

Oleg Granichin, Yury Ivanskiy, Kseniia Denisovna Kopylova

Subject: Computer Science And Mathematics, Mathematics Keywords: mesoscopic observations; randomized stochastic optimization; unknown-but-bounded noise

Online: 7 December 2023 (11:20:42 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0061.v1

Global Non-existence of a Coupled Parabolic-Hyperbolic System of Thermoelastic Type with History

Jorge Alfredo Esquivel-Avila

Subject: Computer Science And Mathematics, Mathematics Keywords: blow up; evolution equations; parabolic-hyperbolic system; thermoelasticity

Online: 1 December 2023 (08:18:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0013.v1

On the Asymptotic of Solutions of Odd Order Two-Term Differential Equations

Yaudat T. Sultanaev, Nur F. Valeev, Elvira A. Nazirova

Subject: Computer Science And Mathematics, Mathematics Keywords: asymptotic methods; oscillating coefficients; singular differential equations; Campbell’ s identity

Online: 1 December 2023 (03:14:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1954.v2

Global and Local Enhancement of Low-light Endoscopic Images

En Mou, Huiqian Wang, Meifang Yang, Enling Cao, Yuanyuan Chen, Chunlan Ran, Yu Pang

Subject: Computer Science And Mathematics, Mathematics Keywords: endoscopic image enhancement; dual attention; higher-order curve function

Online: 1 December 2023 (03:06:55 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1982.v1

Extensions Of Derivations on JC-algebras

Fatmah B. Jamjoom, Doha A. Abulhamail

Subject: Computer Science And Mathematics, Mathematics Keywords: JC-algebras; JW-algebras; C*-algebras; von Neumann algebras; Banach bimodules; Derivations

Online: 30 November 2023 (13:04:10 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1950.v1

Application Of Peter Chew Theorem For Calculus (Second Order Linear Equations With Constant Coefficients)

Peter Chew

Subject: Computer Science And Mathematics, Mathematics Keywords: Calculus; Second Order Linear Equations With Constant Coefficients; Peter Chew Theorem; Quadratic Surds

Online: 30 November 2023 (10:50:00 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1957.v1

Novel Fuzzy Contractions and Applications to Engineering Science

Mudasir Younis, Afrah Nouman Ahmad Abdou

Subject: Computer Science And Mathematics, Mathematics Keywords: Fixed point; Fractional-Differential equation; Equation of motion; Fuzzy-Kannan mapping; Fuzzy metric; Directed graph

Online: 30 November 2023 (10:43:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1954.v1

Global and Local Enhancement of Low-light Endoscopic Images

En Mou, Huiqian Wang, Meifang Yang, Enling Cao, Yuanyuan Chen, Chunlan Ran, Yu Pang

Subject: Computer Science And Mathematics, Mathematics Keywords: endoscopic image enhancement; dual attention; higher-order curve function

Online: 30 November 2023 (05:47:06 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1769.v1

HRA-Secure Proxy Re-encryption with Re-encryption Simulatability under Lwe in Standard Model

Bimei Wang, Li Hou, Lisha Yao, Feixiang Zhao, Jian Weng

Subject: Computer Science And Mathematics, Mathematics Keywords: Proxy re-encryption; re-encryption simulatability; honest re-encryption attacks; learning with errors; quantum-resistant

Online: 28 November 2023 (10:22:47 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v12

The Collatz Conjecture: A New Proof using Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Conjecture; Algebraic Inverse Trees; Formal Proof; Topological Framework; Inverse Graph Characterization; Path Convergence; Cycles Absence; Recursive Number Sequences; Discrete Mathematics Structures

Online: 24 November 2023 (04:11:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1472.v1

The Heteromorphic Approach to Adjunctions: Theory and History

David Ellerman

Subject: Computer Science And Mathematics, Mathematics Keywords: adjoint functors; adjunctions; heteromorphisms; category theory

Online: 23 November 2023 (05:38:51 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1168.v1

Exploring Polygonal Number Sieves through Computational Triangulation

Sergei Abramovich

Subject: Computer Science And Mathematics, Mathematics Keywords: computation; number theory; triangulation; polygonal numbers; spreadsheet; Wolfram Alpha; Maple

Online: 20 November 2023 (07:51:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202309.0513.v4

A Modest Contribution to the Riemann Hypothesis Using the Poincaré Index

Hime Oliveira

Subject: Computer Science And Mathematics, Mathematics Keywords: Riemann hypothesis; Riemann zeta function; Poincaré; index; Dirichlet eta function

Online: 20 November 2023 (07:30:41 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0961.v1

Queueing-Inventory Systems with Catastrophes under Various Replenishment Policies

Serife Ozkar, Agassi Melikov, Janos Sztrik

Subject: Computer Science And Mathematics, Mathematics Keywords: Queueing-inventory system; Catastrophe; Negative customer; (s,S)-type policy; (s,Q)-type policy; Matrix geometric method; MAP arrival; Phase-type distribution

Online: 15 November 2023 (10:06:03 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0762.v1

Using Beta Function and Factorization to Find New π-Series

Li Guo-Jie

Subject: Computer Science And Mathematics, Mathematics Keywords: Beta Function; Polynomial Factorization; Convergence

Online: 13 November 2023 (14:14:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202309.0513.v3

A Modest Contribution to the Riemann Hypothesis Using the Poincaré Index

Hime Oliveira

Subject: Computer Science And Mathematics, Mathematics Keywords: Riemann hypothesis; Riemann zeta function; Poincaré index; Dirichlet eta function

Online: 13 November 2023 (10:09:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0712.v1

Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid

Irina Vladimirovna Denisova, Vsevolod Alexeevich Solonnikov

Subject: Computer Science And Mathematics, Mathematics Keywords: equilibrium figures; viscous compressible two-layer fluid; capillary forces; interface problem for the Navier – Stokes system; the Hölder spaces

Online: 10 November 2023 (13:25:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v11

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: collatz cojecture; algebraic inverse trees; formal proof of collatz conjecture

Online: 8 November 2023 (07:53:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0297.v1

On a Generalized Gagliardo-Nirenberg Inequality with Radial Symmetry and Decaying Potentials

Mirko Tarulli, George Venkov

Subject: Computer Science And Mathematics, Mathematics Keywords: Fractional Laplacian; radially symmetric potential; non-homogeneous potential; Gagliardo-Nirenberg inequality; non-local noninearity

Online: 6 November 2023 (13:40:12 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0349.v1

Total Edge Irregularity Strength of Star Snake Graphs

Hala Attiya, Nasr Ahmed, Fatma Salama

Subject: Computer Science And Mathematics, Mathematics Keywords: Edge labeling; Irregularity strength; Irregular labelling; Total edge irregularity strength; Star snake graph.

Online: 6 November 2023 (11:13:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v10

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: collatz cojecture; algebraic inverse trees; formal proof of collatz conjecture

Online: 2 November 2023 (08:16:04 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0128.v1

Two Dynamic Remarks on the Chebyshev-Halley Family of Iterative Methods for Solving Nonlinear Equations

José Manuel Gutiérrez, Víctor Galilea

Subject: Computer Science And Mathematics, Mathematics Keywords: Chebyshev-Halley family of iterative methods; extraneous fixed points; critical points; parameter plane; dynamical systems

Online: 2 November 2023 (06:26:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.0053.v1

Theory of Relationships between Spaces to Obtain Numerical Knowledge

carlos eduardo ramos cardoso cardoso

Subject: Computer Science And Mathematics, Mathematics Keywords: relationships between spaces; numerical knowledge; sense of mathematics; odd and even numbers

Online: 1 November 2023 (09:46:00 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v9

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: collatz cojecture; algebraic inverse trees; formal proof of collatz conjecture

Online: 31 October 2023 (11:01:44 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.1969.v1

The Relationship Between the Box Dimension of Continuous Functions and Their (k,s)-Riemann-Liouville Fractional Integral

Bingqian Wang, Wei Xiao

Subject: Computer Science And Mathematics, Mathematics Keywords: the fractal dimension; continuous functions; the (k,s)-Riemann-Liouville fractional integral

Online: 31 October 2023 (02:48:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.1895.v1

Bounded Number Theory: A Study on the Negation of Infinite Numbers in Parts or Completely

carlos eduardo ramos cardoso cardoso

Subject: Computer Science And Mathematics, Mathematics Keywords: limited number; different physical spaces; mathematics sense; number belongs to space

Online: 30 October 2023 (10:11:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v8

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz cojecture; Algebraic Inverse Trees; proof of Collatz conjecture

Online: 30 October 2023 (09:38:23 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.1880.v1

Theory of Major and Minor Numerical Progressions

Carlos Eduardo Ramos Cardoso

Subject: Computer Science And Mathematics, Mathematics Keywords: bigger numbers; smaller numbers; varied numbers; simple numbers

Online: 30 October 2023 (09:28:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v7

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz cojecture; Algebraic Inverse Trees; Proof of Collatz Conjecture

Online: 27 October 2023 (09:14:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.1591.v1

Some New Fractional Inequalities for Coordinated Convexity over Convex Set Pertaining to Fuzzy-Number Valued Settings Governed by Fractional Integrals

Tareq Saeed, Adriana Cătaş, Muhammad Bilal Khan, Ahmed Mohammed Alshehri

Subject: Computer Science And Mathematics, Mathematics Keywords: Fuzzy-number valued mappings; generalized fractional integral; coordinated convex mappings; coordinated UD-convexity; Hermite-Hadamard’s inequalities

Online: 25 October 2023 (07:33:52 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v6

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz cojecture; Algebraic Inverse Trees; formal proof

Online: 23 October 2023 (10:35:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v5

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Cojecture; Algebraic Inverse Trees; Formal Proof (Draft);

Online: 20 October 2023 (10:28:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.1306.v1

Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications

Junjie Wang, Shoucheng Yuan, Xiao Liu

Subject: Computer Science And Mathematics, Mathematics Keywords: fractional laplacian; fractional diffusion equation; finite difference scheme; finite volume scheme; weak singular integral

Online: 20 October 2023 (06:32:00 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v4

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Cojecture; Algebraic Inverse Trees; Hypotesis of Representations; Hypotesis of Saturation; Suryectivity of Reverse Function

Online: 18 October 2023 (10:09:49 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v3

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Cojecture; Algebraic Inverse Trees; Hypotesis of Representations; Hypotesis of Saturation; Suryectivity of Reverse Function

Online: 17 October 2023 (10:26:40 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0973.v1

A Characterization of Lie Type Higher Derivations on von Neumann Algebras with Local Actions

Ab Hamid Kawa, Turki Alsuraiheed, S. N. Hasan, Shakir Ali, Bilal Ahmad Wani

Subject: Computer Science And Mathematics, Mathematics Keywords: Lie derivation; Multiplicative Lie type-derivation; multiplicative Lie type-higher derivation; von Neumann algebra

Online: 17 October 2023 (08:01:09 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v2

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Cojecture; Algebraic Inverse Trees; Hypotesis of Representations; Hypotesis of Saturation; Suryectivity of Reverse Function

Online: 13 October 2023 (04:48:03 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202310.0773.v1

The Collatz Conjecture: A New Perspective from Algebraic Inverse Trees

Eduardo Diedrich

Subject: Computer Science And Mathematics, Mathematics Keywords: Collatz Cojecture; Algebraic Inverse Trees; Hypotesis of Representations; Hypotesis of Saturation; Suryectivity of Reverse Function

Online: 12 October 2023 (04:43:40 CEST)

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Computer Science and Mathematics