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Extended Fibonacci numbers and polynomials with probability applications

Demetrios L. Antzoulakos • International Journal of Mathematics and Mathematical Sciences (2004)

The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers...

DOAJ Open Access (DOAJ) DOI: 10.1155/S016117120440458X

An Improved Blockchain-Based Lightweight Vehicle-to-Infrastructure Handover Authentication Protocol for Vehicular Ad Hoc Networks

Shengbao Wang, Yixiao Wu, Kang Wen, Xin Zhou et al. • Mathematics (2025)

We conduct a cryptanalysis of the Vehicle-to-Infrastructure (V2I) handover authentication protocol newly developed by Son et al., which incorporates blockchain technology for authentication purposes. Although this approach is notably effici...

DOAJ Open Access (DOAJ) DOI: 10.3390/math13071118

Mathematical Statistics With Applications

Gary E. Meek, William M. Mendenhall, Richard L. Scheaffer, Dennis D. Wackerly • Technometrics (1987)

This calculus-based book presents a blend of theory and application. It focuses on inference making as the goal of studying probability and statistics, and features an emphasis on real-life applications of the mathematically divided techniq...

OPENALEX DOI: https://doi.org/10.1080/00401706.1987.10488256

A Fractional-Order Complexity Framework for Misinformation Propagation With Fact-Checking Saturation and Social Vulnerability Dynamics

Shewafera Wondimagegnhu Teklu, M. A. Abdelkawy, Waleed Adel • Complexity (2026)

Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real-world complexities: People remember past information (memory effects), some folks are more easily f...

DOAJ Open Access (DOAJ) DOI: 10.1155/cplx/8861194

A fast three-step second-order explicit numerical approach to investigating and forecasting the dynamic of corruption and poverty in Cameroon

Eric Ngondiep • Heliyon (2024)

This paper constructs a three-step second-order numerical approach for solving a mathematical model on the dynamic of corruption and poverty. The stability and error estimates of the proposed technique are analyzed using the L2-norm. The de...

DOAJ Open Access (DOAJ) DOI: 10.1016/j.heliyon.2024.e38236

A History of Mathematics: An Introduction

Jim Tattersall, Victor Katz • College Mathematics Journal (1994)

Part I. Ancient Mathematics 1. Egypt and Mesopotamia 1.1 Egypt 1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece 2.1 The Earliest Greek Mathematics 2.2 The Time of Plato 2.3 Aristotle 3. Euclid 3.1 Introduction to the Elements 3.2 ...

OPENALEX DOI: https://doi.org/10.2307/2687626

Mathematics, Statistics, and Teaching

George W. Cobb, David S. Moore • American Mathematical Monthly (1997)

How does statistical thinking differ from mathematical thinking? What is the role of mathematics in statistics? If you purge statistics of its mathematical content, what intellectual substance remains?In what follows, we offer some answers ...

OPENALEX DOI: https://doi.org/10.1080/00029890.1997.11990723

Mathematical Ideas in Biology

John Maynard Smith • Cambridge University Press eBooks (1968)

This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathema...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511565144

Convergence rate of principal component analysis with local-linear smoother for functional data under a unified weighing scheme

Xingyu Yan, Xiaolong Pu, Yingchun Zhou, Xiaolei Xun • Statistical Theory and Related Fields (2020)

The unified weighing scheme for the local-linear smoother in analysing functional data can deal with data that are dense, sparse or of neither type. In this paper, we focus on the convergence rate of functional principal component analysis ...

DOAJ Open Access (DOAJ) DOI: 10.1080/24754269.2019.1656048

Introduction to Mathematical Statistics.

Aa, Robert V. Hogg, Allen T. Craig • Journal of the American Statistical Association (1996)

1. Probability and Distributions. 2. Multivariate Distributions. 3. Some Special Distributions. 4. Some Elementary Statistical Inferences 5. Consistency and Limiting Distributions 6. Maximum Likelihood Methods. 7. Sufficiency. 8. Optimal Te...

OPENALEX DOI: https://doi.org/10.2307/2291439

Mathematical Statistics

Keith Knight • Chapman & Hall/CRC eBooks (1999)

Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statis...

OPENALEX DOI: https://doi.org/10.1201/9780367805319

The World of Mathematics

James R. Newman • CERN Document Server (European Organization for Nuclear Research) (1956)

Volume 1: general survey, Philip E.B.Jourdain historical and biographical, Herbert Westren Turnbull et al arithmetic, numbers and the art of counting, Archimedes et al mathematics of space and motion, William Kingdon Clifford et al. Volume ...

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Visit-to-visit variability of serum uric acid measurements and the risk of all-cause mortality in the general population

Xue Tian, Anxin Wang, Yingting Zuo, Shuohua Chen et al. • Arthritis Research & Therapy (2021)

Abstract Background Evidence on longitudinal variability of serum uric acid (SUA) and risk of all-cause mortality in the general population is limited, as many prior studies focused on a single measurement of SUA. Methods A total of 53,956 ...

DOAJ Open Access (DOAJ) DOI: 10.1186/s13075-021-02445-7

Neurotoxicity of PM<sub>2.5</sub>-Bound Multi-Pollutant Mixtures in Parkinson’s Disease: Exploring the <i>INPP5D</i>/SHIP1-PI3K-AKT Axis via an Integrative Multi-Omics Study

Lufei Chen, Chaoxian Dai, Zhenfang Wu, Yuhan Lin et al. • Journal of Xenobiotics (2026)

Accumulating epidemiological evidence links ambient PM2.5 exposure to elevated Parkinson’s disease (PD) risk, yet the neurotoxicity triggered by PM2.5 multi-pollutant mixtures under real co-exposure scenarios remains insufficiently elucidat...

DOAJ Open Access (DOAJ) DOI: 10.3390/jox16060184

Knowledge sharing of health technology for students in universities of technology

Chin-Mou Cheng, Li‐Jung Chen, Chi-Kao Chang • ACOS'07 Proceedings of the 6th Conference on WSEAS International Conference on Applied Computer Science - Volume 6 (2007)

Knowledge sharing of technology innovation is the main developmental force in the 21st century knowledge-based economy. This study aims to research the factors of students' knowledge sharing of health technology in universities of technolog...

OPENALEX

Epidemiology and clinical study of phenylketonuria (PKU) patients in Khorasan Province; Norteast Iran

Negar Morovatdar, Shapour Badiee Aval, Seyed Mohammad Reza Hosseini Yazdi, Farzaneh Norouzi et al. • Iranian Journal of Neonatology (2015)

Epidemiology and clinical study of phenylketonuria (PKU) patients in Khorasan Province; Norteast Iran Background: Phenylketonuria is an autosomal recessive disease. Early diagnosis is a important public health intervention to prevent neurol...

DOAJ Open Access (DOAJ)

Structural analysis of key factors in poverty alleviation for policy development in persistently impoverished provinces in Thailand

Phimlikid Kaewhanam, Kathanyoo Kaewhanam, Eko Priyo Purnomo, Noppakun Thongmual et al. • Frontiers in Sustainability (2025)

IntroductionPoverty remains a persistent and complex challenge in Thailand, particularly in structurally disadvantaged provinces such as Kalasin. Despite multiple national development strategies, poverty rates in Kalasin have remained consi...

DOAJ Open Access (DOAJ) DOI: 10.3389/frsus.2025.1620149