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Preprint ARTICLE | doi:10.20944/preprints201909.0154.v1

A QUBO Model for the Traveling Salesman Problem with Time Windows for Execution on the D-Wave

Christos Papalitsas, Theodore Andronikos, Konstantinos Giannakis, Georgia Theocharopoulou, Sofia Fanarioti

Subject: Computer Science And Mathematics, Mathematics Keywords: TSP; TSPTW; metaheuristics; quantum annealing; Ishing model; QUBO; D-Wave

Online: 15 September 2019 (16:14:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202102.0559.v3

Euler-Bernoulli Beam Theory: First-Order Analysis, Second-Order Analysis, Stability, and Vibration Analysis Using the Finite Difference Method

Valentin Fogang

Subject: Computer Science And Mathematics, Mathematics Keywords: Euler Bernoulli beam; finite difference method; additional points; element stiffness matrix; tapered beam; first-order analysis; second-order analysis; vibration analysis; direct time integration method

Online: 23 September 2021 (13:08:38 CEST)

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This paper presents an approach to the Euler-Bernoulli beam theory (EBBT) using the finite difference method (FDM). The EBBT covers the case of small deflections, and shear deformations are not considered. The FDM is an approximate method for solving problems described with differential equations. The FDM does not involve solving differential equations; equations are formulated with values at selected points of the structure. Generally, the finite difference approximations are derived based on fourth-order polynomial hypothesis (FOPH) and second-order polynomial hypothesis (SOPH) for the deflection curve; the FOPH is made for the fourth and third derivative of the deflection curve while the SOPH is made for its second and first derivative. In addition, the boundary conditions and not the governing equations are applied at the beam’s ends. In this paper, the FOPH was made for all of the derivatives of the deflection curve, and additional points were introduced at the beam’s ends and positions of discontinuity (concentrated loads or moments, supports, hinges, springs, etc.). The introduction of additional points allowed us to apply the governing equations at the beam’s ends and to satisfy the boundary and continuity conditions. Moreover, grid points with variable spacing were also considered, the grid being uniform within beam segments. First-order analysis, second-order analysis, and vibration analysis of structures were conducted with this model. Furthermore, tapered beams were analyzed (element stiffness matrix, second-order analysis). Finally, a direct time integration method (DTIM) was presented. The FDM-based DTIM enabled the analysis of forced vibration of structures, with damping taken into account. The results obtained in this paper showed good agreement with those of other studies, and the accuracy was increased through a grid refinement. Especially in the first-order analysis of uniform beams, the results were exact for uniformly distributed and concentrated loads regardless of the grid. Further research will be needed to investigate polynomial refinements (higher-order polynomials such as fifth-order, sixth-order…) of the deflection curve; the polynomial refinements aimed to increase the accuracy, whereby non-centered finite difference approximations at beam’s ends and positions of discontinuity would be used.

Preprint ARTICLE | doi:10.20944/preprints201610.0064.v1

Optimize Siteation the Tower Crane Using a Mathematical Models

Peyman Beiranvand, Hamid Reza Ashrafi, Fereydoon Omidinasab, Amir Alipour

Subject: Computer Science And Mathematics, Mathematics Keywords: tower crane; location; operating time; feasible area

Online: 15 October 2016 (08:50:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201610.0039.v1

Numerical Simulation of a Vortex Combustor Based on Aluminum and Steam

Xianhe Chen, Zhixun Xia, Liya Huang, Likun Ma

Subject: Computer Science And Mathematics, Mathematics Keywords: aluminum particle; steam; vortex combustor; diffusion flame; numerical simulation

Online: 12 October 2016 (10:11:48 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201611.0009.v1

A New Consequence Of Van Aubel’s Theorem

Dasari Naga Vijay Krishna

Subject: Computer Science And Mathematics, Mathematics Keywords: van Aubel’s theorem; iso Ortho Diagonal Quadrilateral; equilateral triangle

Online: 1 November 2016 (10:08:03 CET)

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Preprint ARTICLE | doi:10.20944/preprints201608.0129.v1

The Analytical Solution of Parabolic Volterra Integro- Differential Equations in the Infinite Domain

Yun Zhao, Feng-Qun Zhao

Subject: Computer Science And Mathematics, Mathematics Keywords: parabolic Volterra integro-differential equations; memory kernel; Laplace transform; Fourier transform; convolution theorem; analytical solution

Online: 11 August 2016 (11:47:10 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201703.0121.v2

Two Finite Mirror-Image Series Restrict the Non-Trivial Zeros of Riemann’s Zeta Function to Re(s) = 1/2 and the Zeros of its Derivative to Re(s) > 1/2

Anthony Lander

Subject: Computer Science And Mathematics, Mathematics Keywords: Riemann Hypothesis; Dirichlet eta function; Zeta function; prime numbers; number theory; critical-line; critical-strip; symmetry breaking

Online: 22 March 2017 (04:48:57 CET)

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Preprint ARTICLE | doi:10.20944/preprints201607.0018.v1

New algorithm for problems with exponential solutions

Olaide Adesanya, Oziohu Onsachi, Remilekun Odekunle

Subject: Computer Science And Mathematics, Mathematics Keywords: Exponentially-fitted method, interpolation, collocation, stability properties, continuous method, stiff problems

Online: 11 July 2016 (08:15:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201712.0119.v1

Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga-Kutta-Merson-Method under generalized H-differentiability and its Application in Industry

Sankar Prasad Mondal, Susmita Roy, Biswajit Das, Animesh Mahata

Subject: Computer Science And Mathematics, Mathematics Keywords: fuzzy sets; fuzzy differential equation; modified runge kutta method and runge kutta mersion method

Online: 18 December 2017 (10:23:51 CET)

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Preprint ARTICLE | doi:10.20944/preprints201608.0017.v4

Propositions for Confidence Interval in Systematic Sampling on Real Line

Mehmet Niyazi Çankaya

Subject: Computer Science And Mathematics, Mathematics Keywords: biomedical imaging; covariogram; design-based stereology; estimation of volume; systematic sampling

Online: 15 September 2016 (05:18:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201704.0105.v1

A Robust Symmetric Nonnegative Matrix Factorization Framework for Clustering Multiple Heterogeneous Microbiome Data

Yuanyuan Ma, Xiaohua Hu, Tingting He, Xingpeng Jiang

Subject: Computer Science And Mathematics, Mathematics Keywords: symmetric nonnegative matrix factorization; similarity network fusion; human microbiome; multi-view clustering

Online: 18 April 2017 (03:31:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201804.0305.v1

The Zeros of the Dirichlet Beta Function Encode the Odd Primes and Have Real Part 1/2

Anthony Lander

Subject: Computer Science And Mathematics, Mathematics Keywords: Catalan beta function; Riemann’s zeta function; primes; Dirichlet L-function

Online: 24 April 2018 (05:10:20 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201703.0121.v1

Two Finite Mirror-Image Series Restrict the Non-Trivial Zeros of Riemann’s Zeta Function to Re(s) = 1/2 and the Zeros of its Derivative to Re(s) > 1/2

Anthony Lander

Subject: Computer Science And Mathematics, Mathematics Keywords: Riemann Hypothesis; Dirichlet eta function; Zeta function; prime numbers; number theory; critical-line; critical-strip; symmetry breaking

Online: 16 March 2017 (16:59:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints201612.0013.v1

Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation

Alper Korkmaz, Ozlem Ersoy, Idiris Dag

Subject: Computer Science And Mathematics, Mathematics Keywords: Klein-Gordon equation; trigonometric cubic B-spline; collocation; soliton; wave motion; conservation laws

Online: 2 December 2016 (08:45:07 CET)

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Preprint ARTICLE | doi:10.20944/preprints201706.0090.v1

Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay

Kazem Nouri, Marjan Nazari, Bagher Keramati

Subject: Computer Science And Mathematics, Mathematics Keywords: fractional neutral integro-differential equations; initial value problem; Caputo fractional derivative; Krasnoselskii's fixed point theorem

Online: 20 June 2017 (03:42:54 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202008.0156.v1

A Proof of the Riemann Hypothesis Based on Hadamard Product

Fayez Alhargan

Subject: Computer Science And Mathematics, Mathematics Keywords: the Riemann Hypothesis; the functional equation; the Riemann zeta function; Hadamard Product

Online: 6 August 2020 (10:38:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201701.0060.v1

Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications

Rengui Yu, Chungang Zhu, Xianmin Hou, Li Yin

Subject: Computer Science And Mathematics, Mathematics Keywords: bivariate spline space; quasi-interpolation operator; type-2 triangulation 3; burgers’ equations; image reconstruction

Online: 12 January 2017 (10:04:06 CET)

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Preprint ARTICLE | doi:10.20944/preprints202104.0076.v2

On the Indian Tradition of Mathematical Names: A Scientific Analysis

Ashish Karn, Brett Rosiejka, Pankaj Badoni, Raman Kumar Singh

Subject: Computer Science And Mathematics, Mathematics Keywords: Mathematical names; Hindu mathematical tradition; Indian social psyche; Mathematics and religion; Mathematics and society; Hindu mathematics

Online: 5 April 2021 (14:42:47 CEST)

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The current paper explores the potential interlink between names of individuals in a society and its collective social consciousness, particularly with reference to the pervasive occurrence of the ‘mathematical names’ in the current Hindu society in the Indian subcontinent and beyond. Initially, an attempt is made to put things into mathematical perspective by drawing a quick sketch of some of the stellar achievements of the Indian mathematicians. Under the six broad categories of geometry, trigonometry, numeration, arithmetic, algebra, and mathematics in the Vedic tradition, a concise simple description of these subdivisions is presented, underlining the names of the concepts and terms, sometimes by producing the textual references. Then, upon identification of such mathematical terms, an attempt is made to juxtapose these with the names current in the Indian Hindu society. By employing an extensive dataset of university student names in India and the directories of Facebook and LinkedIn, we produce both qualitative and quantitative evidence of the presence of such names in the Indian subcontinent. Evidently, these names reflect the impressions of the tremendously rich mathematical heritage left by the Hindu stalwart mathematicians. This hypothesis has also been examined by taking surveys of people bearing these mathematical names, as well as by documenting the ‘conscious procedures’ that go behind the naming of a Hindu Indian child. In trying to investigate if such a phenomenon is unique to the Indian tradition, a stark contrast with the ‘names in mathematics’ as prevalent in the European mathematical traditions is presented, as cultural roots of mathematics are explored. Further, we ascribe the presence of these names as the extant remains of the colossal impact of multifarious mathematical traditions existing in India. Interestingly, the present research also brings to the fore, certain unseen facets of the Indian Hindu society as regards the education of mathematics to women – through an indirect exploration of their names. We also show that the pervasive occurrence of these names is not merely the result of semantic chance events, but denotes the richness of the Indian mathematical legacy. Next, we also present cross-cultural comparisons to show the uniqueness of Indian mathematical and scientific traditions that led to the pervasiveness of ‘mathematical names’ in India. Finally, an attempt is made to clarify some subtle points on the associations between mathematics and religion in India and other cultures of the world. It is sincerely hoped that the present study may shed light on the cultural roots of mathematics and may furnish a new dimension in the study of mathematics, culture and civilizations across the world.

Preprint REVIEW | doi:10.20944/preprints201705.0194.v1

A Brief History of Long Memory: Hurst, Mandelbrot and the Road to ARFIMA

Timothy Graves, Robert B. Gramacy, Nicholas W. Watkins, Christian L. E. Franzke

Subject: Computer Science And Mathematics, Mathematics Keywords: long-range dependence; Hurst effect; fractionallydifferenced models; Mandelbrot

Online: 26 May 2017 (18:36:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201612.0015.v1

VRP-GMRES(m) Iteration Algorithm for Fast Multipole Boundary Element Method

Chunxiao Yu, Cuihuan Ren, Xueting Bai

Subject: Computer Science And Mathematics, Mathematics Keywords: FM-BEM; variable restart parameter; GMRES(m); error vector projection; convergence

Online: 2 December 2016 (09:01:51 CET)

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Preprint TECHNICAL NOTE | doi:10.20944/preprints202105.0660.v1

Vibration Analysis of Axially Functionally Graded Non-Prismatic Euler-Bernoulli Beams Using the Finite Difference Method

Valentin Fogang

Subject: Computer Science And Mathematics, Mathematics Keywords: Axially functionally graded non-prismatic Euler-Bernoulli beam; finite difference method; additional points; vibration analysis; direct time integration method

Online: 27 May 2021 (09:09:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201703.0171.v1

Specific and Complete Local Integration of Patterns in Bayesian Networks

Martin Biehl, Takashi Ikegami, Daniel Polani

Subject: Computer Science And Mathematics, Mathematics Keywords: identity over time; Bayesian networks; multi-information; entity; persistence; integration; emergence; naturalising agency

Online: 21 March 2017 (16:23:00 CET)

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Preprint ARTICLE | doi:10.20944/preprints202004.0073.v1

SEIR Modeling of the Italian Epidemic of SARS-CoV-2

Alberto Godio, Francesca Pace, Andrea Vergnano

Subject: Computer Science And Mathematics, Mathematics Keywords: SARS-CoV-2; COVID-19; SEIR modeling; Italy; stochastic modeling; swarm intelligence

Online: 7 April 2020 (01:13:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201704.0044.v1

Approximate Information and Accelerating for High-throughput Heterogeneous Data Analysis with Linear Mixed Models

Shengxin Zhu

Subject: Computer Science And Mathematics, Mathematics Keywords: observed information; fisher information; averaged information splitting; approximate information

Online: 7 April 2017 (12:21:27 CEST)

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Preprint ARTICLE | doi:10.3390/sci2030058

Mathematics and Poetry • Unification, Unity, Union

Florin Nichita

Subject: Computer Science And Mathematics, Mathematics Keywords: Yang–Baxter equation (QYBE); Euler’s formula; dual numbers; UJLA structures; classical means inequalities; poetry

Online: 3 August 2020 (00:00:00 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201910.0137.v1

An Efficient and High-Resolution Topology Optimization Method Based on Convolutional Neural Networks

Liang Xue, Jie Liu, Guilin Wen, Hongxin Wang

Subject: Computer Science And Mathematics, Mathematics Keywords: topology optimization; convolutional neural network; high-resolution

Online: 12 October 2019 (03:56:19 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201608.0017.v3

Propositions for Confidence Interval in Systematic Sampling on Real Line

Mehmet Niyazi Çankaya

Subject: Computer Science And Mathematics, Mathematics Keywords: biomedical imaging; covariogram; design-based stereology; estimation of volume; systematic sampling

Online: 9 September 2016 (11:52:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201707.0006.v1

Forecasting Based on High-Order Fuzzy-Fluctuation Trends and Particle Swarm Optimization Machine Learning

Jingyuan Jia, Aiwu Zhao, Shuang Guan

Subject: Computer Science And Mathematics, Mathematics Keywords: Fuzzy forecasting, fuzzy-fluctuation trend, particle swarm optimization, fuzzy time series, fuzzy logical relationship

Online: 4 July 2017 (16:35:22 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201707.0088.v1

Secure Communication for Two-way Relay Networks with Imperfect CSI

Cong Sun, Ke Liu, Dahu Zheng, Wenbao Ai

Subject: Computer Science And Mathematics, Mathematics Keywords: physical layer security; semi-infinite programming; amplify-and-forward two-way relay; imperfect CSI; robust optimization

Online: 31 July 2017 (08:59:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201704.0176.v1

Bézier Curve Modeling for Neutrosophic Data Problem

Ferhat Taş, Selçuk Topal

Subject: Computer Science And Mathematics, Mathematics Keywords: neutrosophic sets; neutrosophic logic; bézier curve

Online: 27 April 2017 (02:54:02 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201710.0146.v1

NC-TODIM Based MAGDM under Neutrosophic Cubic Set Environment

Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy

Subject: Computer Science And Mathematics, Mathematics Keywords: neutrosophic cubic set; single valued neutrosophic set; interval neutrosophic set; multi attribute group decision making; TODIM method; NC-TODIM

Online: 23 October 2017 (04:53:57 CEST)

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Preprint ARTICLE | doi:10.3390/sci2040072

Mathematics and Poetry • Unification, Unity, Union

Florin Nichita

Subject: Computer Science And Mathematics, Mathematics Keywords: Yang–Baxter equation (QYBE); Euler’s formula; dual numbers; UJLA structures; classical means inequalities; poetry

Online: 21 October 2020 (00:00:00 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201904.0043.v3

Performance Comparing and Analysis for Slot Allocation Model

ZhiJian Ye, YanWei Li, JingTing Bai, Xinxin Zheng

Subject: Computer Science And Mathematics, Mathematics Keywords: Slot Allocation, Performance Comparing, Implementation Difficulty, Linear Integer Programming

Online: 9 April 2019 (12:35:20 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201708.0036.v1

Fuzzy Analogues of Sets and Functions Can Be Uniquely Determined from the Corresponding Ordered Category: A Theorem

Christian Servin, Gerardo Muela, Vladik Kreinovich

Subject: Computer Science And Mathematics, Mathematics Keywords: fuzzy set; ordered category; category of fuzzysets

Online: 9 August 2017 (06:39:47 CEST)

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Working Paper ARTICLE

On Unification Theories

Radu Iordanescu, Florin Nichita, Ovidiu Pasarescu

Subject: Computer Science And Mathematics, Mathematics Keywords: Yang-Baxter equation; Euler’s formula; dual numbers; non-associative algebras; UJLA structures; mean inequalities

Online: 9 October 2019 (11:18:43 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201801.0277.v1

Numerical Counterexamples of Lorenz System in Implicit Time Scheme

Xuan Chen

Subject: Computer Science And Mathematics, Mathematics Keywords: Lorenz system; implicit time scheme; counterexamples

Online: 30 January 2018 (04:38:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0183.v1

Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class

Alper Korkmaz, Ozlem Ersoy Hepson, Kamyar Hosseini, Hadi Rezazadeh, Mostafa Eslami

Subject: Computer Science And Mathematics, Mathematics Keywords: Sine-Gordon Expansion Method; conformable time fractional RLW equation; conformable time fractional modified RLW equation; conformable time fractional symmetric-RLW equation

Online: 26 December 2017 (04:50:06 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0188.v1

On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach

Alper Korkmaz, Ozlem Ersoy Hepson, Kamyar Hosseini, Hadi Rezazadeh, Mostafa Eslami

Subject: Computer Science And Mathematics, Mathematics Keywords: sine-gordon expansion method; conformable time fractional EW equation; conformable time fractional modified EW Equation; exact solution; traveling solution

Online: 27 December 2017 (04:00:25 CET)

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Preprint ARTICLE | doi:10.20944/preprints201805.0233.v1

Performance Evaluation of Relay Selection Schemes in Beacon-Assisted Dual-hop Cognitive Radio Wireless Sensor Networks under Impact of Hardware Noises

Tran Dinh Hieu, Tran Trung Duy, Le The Dung, Seong Gon Choi

Subject: Computer Science And Mathematics, Mathematics Keywords: energy harvesting; power beacon; decode-and-forward (DF); partial relay selection; opportunistic relay selection; underlay cognitive radio; hardware impairments

Online: 16 May 2018 (11:35:57 CEST)

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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/preprints201801.0020.v1

Mellin Convolution and its Extensions, Perron Formula and Explicit Formulae

Jose Javier Garcia Moreta

Subject: Computer Science And Mathematics, Mathematics Keywords: Riemann-weil formula; perron formula; explicit formulae; Riemann zeros

Online: 3 January 2018 (05:07:10 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0178.v1

An Expansion Based on Sine-Gordon Equation to Solve KdV and modified KdV Equations in Conformable Fractional Forms

Ozlem Ersoy Hepson, Alper Korkmaz, Kamyar Hosseini, Hadi Rezazadeh, Mostafa Eslami

Subject: Computer Science And Mathematics, Mathematics Keywords: sine-gordon expansion method; conformable time fractional KdV equation; conformable time fractional modified KdV equation; exact solution, traveling wave solution

Online: 25 December 2017 (10:31:11 CET)

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Preprint ARTICLE | doi:10.20944/preprints202102.0559.v1

Euler-Bernoulli Beam Theory: First-Order Analysis, Second-Order Analysis, Stability, and Vibration Analysis Using the Finite Difference Method

Valentin Fogang

Subject: Computer Science And Mathematics, Mathematics Keywords: Euler Bernoulli beam; finite difference method; additional points; element stiffness matrix; tapered beam; first-order analysis; second-order analysis; vibration analysis; direct time integration method

Online: 24 February 2021 (17:03:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints201712.0116.v1

A Note on the (p, q)-Hermite Polynomials

Ugur Duran, Mehmet Acikgoz, Ayhan Esi, Serkan Araci

Subject: Computer Science And Mathematics, Mathematics Keywords: (p, q)-calculus; hermite polynomials; bernstein polynomials; generating function; hyperbolic functions

Online: 18 December 2017 (08:32:22 CET)

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Preprint ARTICLE | doi:10.20944/preprints202005.0181.v1

Modeling an Inverted Pendulum via Differential Equations and Reinforcement Learning Techniques

Siddharth Sharma

Subject: Computer Science And Mathematics, Mathematics Keywords: Reinforcement learning; Cartpole; Q Learning; Mathematical Modeling

Online: 10 May 2020 (18:02:43 CEST)

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Preprint CONCEPT PAPER | doi:10.20944/preprints202005.0331.v1

Multi-Objective Optimization Concept Based on Periodical and Permanent Objective within a Process

Moses Okello

Subject: Computer Science And Mathematics, Mathematics Keywords: optimization; multi-objective optimization; decision making; algorithm

Online: 20 May 2020 (11:24:26 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202005.0499.v1

Understanding the Spread of COVID-19 in Japan: Preliminary Results from a System Dynamics Model

Takuro Uehara

Subject: Computer Science And Mathematics, Mathematics Keywords: COVID-19; SARS-CoV-2; System dynamics; Japan; SEIR

Online: 31 May 2020 (19:58:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201806.0148.v1

Normal Calculus on Moving Surfaces

Keith C. Afas

Subject: Computer Science And Mathematics, Mathematics Keywords: calculus of moving surfaces; CMS; differential geometry; normal; tensor; hypersurfaces; dynamic

Online: 11 June 2018 (09:54:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201711.0072.v1

On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equatio

Yuri Luchko

Subject: Computer Science And Mathematics, Mathematics Keywords: multi-dimensional diffusion-wave equation; neutral-fractional diffusion-wave equation; fundamental solution; Mellin-Barnes integral; integral representation; Wright function; generalized Wright function

Online: 12 November 2017 (08:30:34 CET)

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Preprint ARTICLE | doi:10.20944/preprints201802.0141.v1

Hyperbolic Tangent Ansatz Method to Space Time Fractional Modified KdV, Modified EW and Benney–Luke Equations

Ozlem Ersoy Hepson

Subject: Computer Science And Mathematics, Mathematics Keywords: Ansatz method; fractional modified Korteweg–de Vries Equation; fractional modified Equal Width Equation; fractional Benney–Luke Equation; Conformable fractional derivative

Online: 22 February 2018 (10:45:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0018.v1

Complex Wave Solutions to Mathematical Biology Models I: Newell-Whitehead-Segel and Zeldovich Equations

Alper Korkmaz

Subject: Computer Science And Mathematics, Mathematics Keywords: reaction-diffusion equations; Newell-Whitehead-Segel equation; Zeldovich equation; exact solution; traveling wave solution

Online: 3 January 2018 (03:34:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0209.v1

The Multi-Attributive Border Approximation Area Comparison (Mabac) Method for Decision Making under Interval-Valued Fermatean Fuzzy Environment for Green Supplier Selection

Manoj Mathew, Ripon K. Chakrabortty, Michael J. Ryan, Muhammad Fazal Ljaz, Syed Abdul Rehman Khan

Subject: Computer Science And Mathematics, Mathematics Keywords: Interval-valued Fermatean fuzzy; MABAC; Green supplier selection; MCDM; Hamming distance

Online: 13 December 2021 (13:51:29 CET)

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Preprint REVIEW | doi:10.20944/preprints201712.0097.v1

Recent Advances of Malaria Parasites Detection Systems Based on Mathematical Morphology

Andrea Loddo, Cecilia Di Ruberto, Michel Kocher

Subject: Computer Science And Mathematics, Mathematics Keywords: malaria; red blood cells segmentation; mathematical morphology; medical image analysis

Online: 14 December 2017 (17:10:19 CET)

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Preprint ARTICLE | doi:10.20944/preprints202104.0519.v1

New Insight into Quaternions and Their Matrices

Gülsüm Yeliz Şentürk, Nurten Gürses, Salim Yüce

Subject: Computer Science And Mathematics, Mathematics Keywords: Generalized quaternion, generalized complex number, matrix representation.

Online: 19 April 2021 (22:00:00 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201901.0142.v1

Enhancement of Component Images of Multispectral Data by Denoising with Reference

Sergey Abramov, Mikhail Uss, Vladimir Lukin, Benoit Vozel, Kacem Chehdi, Karen Egiazarian

Subject: Computer Science And Mathematics, Mathematics Keywords: remote sensing; multispectral imaging; DCT-filtering; vectorial (three-dimensional) filtering; BM3D-filtering; filtering with reference

Online: 15 January 2019 (07:18:33 CET)

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Preprint ARTICLE | doi:10.20944/preprints201904.0336.v1

Symmetry and Shannon Measure of Ordering: Paradoxes of Voronoi Tessellation

Edward Bormashenko, Irina Legchenkova, Mark Frenkel

Subject: Computer Science And Mathematics, Mathematics Keywords: Voronoi entropy; Voronoi tessellation; symmetry; ordering; Shannon measure of information

Online: 30 April 2019 (11:51:44 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201901.0272.v1

Research on Heat Transfer Dynamic Characteristics of Composite Layer Based on Laplace Transform

Chunyu Xu, Junhua Lin, Wenhao Liu, Yuanbiao Zhang

Subject: Computer Science And Mathematics, Mathematics Keywords: Flourier law of heat transfer; Temperature distribution; Laplace transform

Online: 28 January 2019 (09:49:47 CET)

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Preprint ARTICLE | doi:10.20944/preprints201812.0310.v1

Regularized Integral Representations of the Reciprocal Gamma Function

Dimiter Prodanov

Subject: Computer Science And Mathematics, Mathematics Keywords: gamma function; reciprocal gamma function; integral equation

Online: 25 December 2018 (14:12:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints201801.0178.v1

On Transcendental Numbers: New Results and a Little History

Solomon Marcus, Florin F. Nichita

Subject: Computer Science And Mathematics, Mathematics Keywords: Euler's relation; transcendental numbers; transcendental operations / functions; transcendence; Yang-Baxter equation; hyperbolic functions, logical implication

Online: 19 January 2018 (04:07:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints201904.0179.v1

A New Representation of Extended Mittage-Leffler Function and Its Properties

Abdul Ghaffar, Ayesha Saif, Faheem Khan

Subject: Computer Science And Mathematics, Mathematics Keywords: Mittag-Leffler function; extended Mittag-Leffler function; Extended beta function; Fox Wright function

Online: 16 April 2019 (10:36:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202306.0710.v1

Enhancing Decomposition Approach for Solving Multi-Objective Dynamic Non-Linear Programming Problems Involving Fuzziness

Pavan Kumar, Hamiden Abd El-Wahed Khalifa

Subject: Computer Science And Mathematics, Mathematics Keywords: Optimization problem Multi-objective optimization problems; Dynamic non-linear programming; Fuzzy set; Piecewise quadratic fuzzy numbers; Close interval approximation; α-pareto optimal solution; Decision- making; Stability

Online: 9 June 2023 (11:28:09 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201806.0207.v1

M-Polynomials and Degree-Based Topological Indices of Bismuth Tri-Iodide

Young Chel Kwun, Abaid ur Rehman Virk, Waqas Nazeer, Shin Min Kang

Subject: Computer Science And Mathematics, Mathematics Keywords: topological index; Bismuth Tri-Iodide; molecular graph; Zagreb index; Randic index; M-polynomial

Online: 13 June 2018 (10:39:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201808.0205.v1

Optimal Path for Sustainable Retirement System in Malaysia

Sim Ying Run, Adem Kilicman

Subject: Computer Science And Mathematics, Mathematics Keywords: Sustainable; defined-contribution; optimisation; present value; future value

Online: 10 August 2018 (13:03:40 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201801.0230.v1

Multi-swarm PSO Algorithm for the Quadratic Assignment Problem: A Massively Parallel Implementation on the OpenCL Platform

Piotr Szwed, Wojciech Chmiel

Subject: Computer Science And Mathematics, Mathematics Keywords: QAP, PSO, OpenCL, GPU calculation, particle swarm optimization, multi-swarm, discrete optimization

Online: 24 January 2018 (19:04:47 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0235.v1

Homotopic Quantum Fuzzy Adaptive Simulated Annealing [ HQF ASA ]

Hime A. e Oliveira Jr.

Subject: Computer Science And Mathematics, Mathematics Keywords: Quantum Annealing; Tunneling; Artificial Inference; Simulated Annealing; Global Learning

Online: 14 February 2023 (04:47:29 CET)

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Preprint ARTICLE | doi:10.20944/preprints202102.0327.v1

On the Recurrence Properties of Generalized Tribonacci Sequence

Yüksel Soykan

Subject: Computer Science And Mathematics, Mathematics Keywords: Tribonacci numbers, negatif indices, recurrence relations.

Online: 16 February 2021 (13:37:50 CET)

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Preprint ARTICLE | doi:10.20944/preprints202105.0125.v1

A New Iterative Scheme for Approximation of Fixed Points of Suzuki's Generalized Nonexpansive Mappings

Shivam Rawat, Ramesh Chandra Dimri, Ayush Bartwal

Subject: Computer Science And Mathematics, Mathematics Keywords: Uniformly convex Banach space; Iteration process; Suzuki's generalized nonexpansive mapping; weak convergence; Strong convergence

Online: 7 May 2021 (09:05:49 CEST)

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Preprint SHORT NOTE | doi:10.20944/preprints202309.0357.v1

Existence of Zeros for Holomorphic Complex Functions: A Dynamical Systems Approach

Hime Oliveira

Subject: Computer Science And Mathematics, Mathematics Keywords: Holomorphic functions; Poincaré index; Zeros of complex functions

Online: 6 September 2023 (03:38:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201909.0131.v1

Numerical Simulation of Feller's Diffusion Equation

Denys Dutykh

Subject: Computer Science And Mathematics, Mathematics Keywords: Feller equation; parabolic equations; Lagrangian scheme; numerical simulation; probability density function

Online: 12 September 2019 (15:36:44 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202005.0268.v2

On 'Best' Rational Approximations to $\pi$ and $\pi+e$

Bertrand Teguia Tabuguia

Subject: Computer Science And Mathematics, Mathematics Keywords: $\pi$ (read Pi); $e$ (the natural logarithm base); continued fraction; convergent infinite series

Online: 31 May 2020 (16:21:52 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202104.0256.v1

Salim Miloudi, Yulin Wang, Wenjia Ding

Subject: Computer Science And Mathematics, Mathematics Keywords: Multi-database Mining; Graph Clustering; Coordinate Descent; Convex Optimization; Similarity Measure; Binary Entropy Loss; Fuzziness Index

Online: 9 April 2021 (10:20:06 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202109.0412.v1

Ramsey’s Theory Meets The Human Brain Connectome

Arturo Tozzi

Subject: Computer Science And Mathematics, Mathematics Keywords: Computer Science; Machine Learning; extremal set theory; Turán's theorem; Ramsey’s theorem

Online: 23 September 2021 (13:33:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202201.0002.v1

PFDA-FMEA-VSM Application for Outsourcing Risk Analysis

Pedro Angel García Aguirre, Luis Perez-Dominugez, David Luviano-Cruz, Roberto Romero-López, Ernesto Leon-Castro

Subject: Computer Science And Mathematics, Mathematics Keywords: Failure Mode and Effect Analysis (FMEA); Pythagorean Fuzzy Dimensional Analysis (PFDA); Value Stream Mapping (VSM); Outsourcing Process (OP); Risk Analysis (RA).

Online: 4 January 2022 (12:23:06 CET)

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Preprint ARTICLE | doi:10.20944/preprints201806.0065.v1

Umbral Methods and Harmonic Numbers

Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli

Subject: Computer Science And Mathematics, Mathematics Keywords: harmonic numbers; operators; umbral methods; special functions; Hermite polynomials

Online: 5 June 2018 (11:52:13 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201908.0078.v1

A Modified Free Wake Vortex Ring Method for Horizontal-Axis Wind Turbines

Jing Dong, Axelle Viré, Carlos Simao Ferreira, Zhangrui Li, Gerard van Bussel

Subject: Computer Science And Mathematics, Mathematics Keywords: free wake vortex method, horizontal-axis wind turbine, floating wind energy, aerodynamics

Online: 6 August 2019 (12:48:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201805.0341.v1

On a Class of Hermite-Obrechkoff One-Step Methods with Continuous Spline Extension

Francesca Mazzia, Alessandra Sestini

Subject: Computer Science And Mathematics, Mathematics Keywords: Initial Value Problems; One-step Methods; Hermite-Obrechkoff methods; symplecticity; B–Splines; BS Methods

Online: 24 May 2018 (08:33:58 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202004.0073.v2

SEIR Modeling of the Italian Epidemic of SARS-CoV-2 Using Computational Swarm Intelligence

Alberto Godio, Francesca Pace, Andrea Vergnano

Subject: Computer Science And Mathematics, Mathematics Keywords: SARS-CoV-2; COVID-19; SEIR modeling; Italy; stochastic modeling; swarm intelligence; Google COVID 19 Community Mobility Reports

Online: 5 May 2020 (16:10:48 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201807.0575.v1

Solutions to Benjamin-Bona-Mahony Equation in Two Space Dimensions by Various Methods

Alper Korkmaz

Subject: Computer Science And Mathematics, Mathematics Keywords: 2D RLW equation; 2D BBM equation; ansatz; series expansion method based on Sine-Gordon equation; traveling wave solution

Online: 30 July 2018 (10:00:20 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201807.0405.v1

Heronian Means as Aggregation Operators for Multi-Attribute Decision Making Applications

Xiaopu Shang, Jun Wang, Anupam Nanda, Weizi Li

Subject: Computer Science And Mathematics, Mathematics Keywords: interval-valued intuitionistic fuzzy set; aggregation operator; Heronian mean; geometric Heronian mean; multi-attribute decision making

Online: 23 July 2018 (05:29:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201712.0016.v1

Hypo-q-Norms on Cartesian Products of Algebras of Bounded Linear Operators on Hilbert Spaces

Silvestru Sever Dragomir

Subject: Computer Science And Mathematics, Mathematics Keywords: Hilbert spaces; bounded linear operators; operator norm and numerical radius; n-tuple of operators; operator inequalities

Online: 4 December 2017 (05:43:58 CET)

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Preprint ARTICLE | doi:10.20944/preprints201908.0080.v1

Rebound Effect and Technical Learning of Energy-environmental Evaluation in Manufacturing Industry

Jiang Wang, Kunyue Wang, Lijuan Wang

Subject: Computer Science And Mathematics, Mathematics Keywords: energy-environmental evaluation; cleaner production; descriptive index; technical learning curve; rebound effect; life cycle

Online: 6 August 2019 (12:57:09 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202109.0067.v1

Fuzzy Ensemble Ideal Solution Based Multi-Criteria Decision-Making Support for Heat Energy Transition in Danish Households

Qianyun Wen, Qiyao Yan, Junjie Qu, Yang Liu

Subject: Computer Science And Mathematics, Mathematics Keywords: MCDM; Individual Heating; Fuzzy; Energy Transition; Ensemble

Online: 3 September 2021 (14:07:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201907.0129.v1

On the Investigation of Temperature Effects on Oil Relative Permeability: Robust Modeling and Data Assessments

Shahab Shamshirband, Alireza Baghban, Jafar Sasanipour, Masoud Hadipoor

Subject: Computer Science And Mathematics, Mathematics Keywords: relative permeability; multilayer perceptron artificial neural network; ANFIS; LSSVM; heavy oil

Online: 9 July 2019 (04:53:33 CEST)

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Preprint COMMUNICATION | doi:10.20944/preprints202102.0425.v1

Perspectives on the Yang-Baxter Equation in Bck-Algebras

Florin Nichita, Tahsin Oner, Tugce KALKAN, Ibrahim Senturk, Mehmet Terziler

Subject: Computer Science And Mathematics, Mathematics Keywords: BCK-algebras; Yang-Baxter Equation; Quasi-negation operator; Boolean coalgebras; poetry

Online: 18 February 2021 (17:26:17 CET)

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Preprint ARTICLE | doi:10.20944/preprints201904.0043.v2

Performance Comparing and Analysis for Slot Allocation Model

ZhiJian Ye, YanWei Li, JingTing Bai, Xinxin Zheng

Subject: Computer Science And Mathematics, Mathematics Keywords: Slot Allocation, Performance Comparing, Implementation Difficulty, Linear Integer Programming

Online: 4 April 2019 (11:19:56 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202006.0034.v1

$L_p$ Loss Functions in Invariance Alignment and Haberman Linking

Alexander Robitzsch

Subject: Computer Science And Mathematics, Mathematics Keywords: factor model; 2PL model; linking; invariance alignment; Haberman linking; partial invariance; item response model; structural equation model; differential item functioning

Online: 4 June 2020 (13:25:49 CEST)

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Preprint ESSAY | doi:10.20944/preprints201910.0312.v1

Rethinking Discretization to Advance Limnology in a Rapidly Changing World

Benjamin Kraemer

Subject: Computer Science And Mathematics, Mathematics Keywords: classification; management; big data; computing; statistics; trophic state; zonation

Online: 27 October 2019 (15:56:58 CET)

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Working Paper ARTICLE

Multi-Criteria Decision-Making Techniques for Solving the Airport Ground Handling Service Equipment Vendor Selection Problem

Peng Yen-Ting, Shen Chien-Wen, Tu Chang-Shu

Subject: Computer Science And Mathematics, Mathematics Keywords: equipment vendor selection; fuzzy TOPSIS; fuzzy weighted average left and right score; multi-choice goal programming; multi-aspiration goal programming

Online: 30 May 2019 (08:42:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201712.0136.v1

Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

Silvestru Sever Dragomir

Subject: Computer Science And Mathematics, Mathematics Keywords: normed spaces; cartesian products of normed spaces; inequalities; reverse inequalities; shisha-mond type inequalities

Online: 19 December 2017 (10:31:23 CET)

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Preprint ARTICLE | doi:10.20944/preprints202109.0155.v1

On Tribonacci Functions and Gaussian Tribonacci Functions

Yüksel Soykan, Melih Göcen, İnci Okumuş

Subject: Computer Science And Mathematics, Mathematics Keywords: Tribonacci numbers; Tribonacci functions; Gaussian Tribonacci functions; f-even functions

Online: 8 September 2021 (14:23:33 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202105.0762.v1

Real-Time Smoke Simulation based on Vortex Method

Fei Wan, Jingpu Zhang, Lizheng Guo, Yunchang Liu

Subject: Computer Science And Mathematics, Mathematics Keywords: smoke simulation; vortex method; Vortex-In-Cell (VIC)

Online: 31 May 2021 (12:11:04 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201810.0018.v1

A Weno-Tvd Implementation for Solving Some Problems of Hyperbolic Conservation Laws

Jhon Alberto Polo Vásquez, Miguel Antonio Caro Candezano

Subject: Computer Science And Mathematics, Mathematics Keywords: CENTRAL WENO-TVD, hyperbolic conservation laws, volume finite framework, The Lax-Friedrichs and TVD fluxes, flux limiter-schemes, Runge-Kutta TVD

Online: 1 October 2018 (16:42:27 CEST)

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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 ARTICLE | doi:10.20944/preprints201907.0177.v1

Optimality Conditions for Vector Equilibrium Problems on Hadamard Manifolds

Gabriel Ruiz-Garzón, Maria B. Donato, Rafaela Osuna-Gómez, Monica Milasi

Subject: Computer Science And Mathematics, Mathematics Keywords: vector equilibrium problem; generalized convexity; Hadamard manifolds; weakly efficient solutions

Online: 15 July 2019 (05:30:05 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201808.0038.v1

Numerical and Non-Asymptotic Analysis of Elias’s and Peres’s Extractors with Finite Input Sequence

Amonrat Prasitsupparote, Norio Konno, Junji Shikata

Subject: Computer Science And Mathematics, Mathematics Keywords: true random number generation; von Neumann’s extractor; Peres’s extractor; Elias’s extractor

Online: 2 August 2018 (07:58:37 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201812.0342.v1

Linear Statistical Models, Least-Squares Estimators, and Classication Analysis to Reverse-Order Laws for Generalized Inverses of Matrix Products

Yongge Tian

Subject: Computer Science And Mathematics, Mathematics Keywords: linear model; least-squares estimator; matrix product; generalized inverse; reverse-order law; block matrix; matrix equation; rank formula

Online: 28 December 2018 (08:19:32 CET)

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Preprint ARTICLE | doi:10.20944/preprints202106.0634.v1

Unsupervised Classification of Hyperspectral Images using PCA and K-Means

Ayesha Malik, Mamoona Waheed

Subject: Computer Science And Mathematics, Mathematics Keywords: Hyperspectral image; HSI; PCA; K-means clustering; unsupervised; classification; bands; satellite; ROSIS; AVIRIS

Online: 28 June 2021 (10:01:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints201909.0068.v1

On a Class of Humbert-Hermite Polynomials

M. A Pathan, Waseem Khan

Subject: Computer Science And Mathematics, Mathematics Keywords: Hermite polynomials; Humbert polynomials; Gegenbauer polynomials; Chebyshev polynomials; Pathan-Khan polynomials; hypergeometric function

Online: 6 September 2019 (04:02:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202201.0047.v1

Lost in Optimization of Water Distribution Systems: Better Call Bayes

Antonio Candelieri, Andrea Ponti, Ilaria Giordani, Francesco Archetti

Subject: Computer Science And Mathematics, Mathematics Keywords: Pump scheduling optimization; Bayesian optimization; Optimal sensor placement; Wasserstein distance; Robustness

Online: 6 January 2022 (09:26:55 CET)

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Preprint ARTICLE | doi:10.20944/preprints202306.0848.v1

Integrating AI and NLP with Project-Based Learning in STREAM Education

Mohammad Abu-Ghuwaleh, Rasheed Saffaf

Subject: Computer Science And Mathematics, Mathematics Keywords: Artificial Intelligence; STREAM; ChatGPT; Project-Based Learning; Pedagogy

Online: 12 June 2023 (14:28:14 CEST)

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Computer Science and Mathematics