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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

Solvability of fractional multi-point boundary-value problems with p-Laplacian operator at resonance

Tengfei Shen, Wenbin Liu, Taiyong Chen, Xiaohui Shen • Electronic Journal of Differential Equations (2014)

In this article, we consider the multi-point boundary-value problem for nonlinear fractional differential equations with $p$-Laplacian operator: $$\displaylines{ D_{0^+}^\beta \varphi_p (D_{0^+}^\alpha u(t)) = f(t,u(t),D_{0^+}^{\alp...

DOAJ Open Access (DOAJ)

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

A Novel Energy-Efficient Reception Method Based on Random Network Coding in Cooperative Wireless Sensor Networks

Yulun Cheng, Longxiang Yang • International Journal of Distributed Sensor Networks (2015)

This paper presents an opportunistic reception (OR) algorithm for energy-efficient transmission in cooperative wireless sensor networks (WSNs), where the characteristics of random linear network coding and the energy consumption property of...

DOAJ Open Access (DOAJ) DOI: 10.1155/2015/238386

A Novel MRAC Scheme for Output Tracking

Tingting Tian, Xiaorong Hou, Fang Yan • Mathematics (2022)

This paper puts forward a novel output feedback model reference adaptive control (MRAC) scheme for solving an adaptive output tracking problem. The proposed control scheme only needs a scalar function to be updated online, which decreases t...

DOAJ Open Access (DOAJ) DOI: 10.3390/math10142384

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

New Insights into Cd<sup>2+</sup>/Fe<sup>3+</sup> Co-Doped BiOBr for Enhancing the Photocatalysis Efficiency of Dye Decomposition under Visible-Light

Hong Sheng, Wei Wang, Rong Dai, Jing Ning et al. • Nanomaterials (2021)

Uniform flowerlike microspheres Cd2+/Fe3+ co-doped BiOBr were prepared with the aid of the microwave hydrothermal process. The results indicate that the degradation performance of Bi1−xCdxOBr and Bi1−xFexOBr are 1.31 and 2.05 times that of ...

DOAJ Open Access (DOAJ) DOI: 10.3390/nano11020423

Further Results on a Curious Arithmetic Function

Long Chen, Kaimin Cheng, Tingting Wang • Journal of Mathematics (2020)

Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively. In this paper, we introduce an...

DOAJ Open Access (DOAJ) DOI: 10.1155/2020/1894162

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

Yurong Dong, Hua Liu, Jianhua Ye, Gang Ma et al. • Axioms (2025)

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

DOAJ Open Access (DOAJ) DOI: 10.3390/axioms14070531

Analysis of amplitude domain characteristics in complex dynamic power signals and their impact on the error of electricity meter

LI Wenwen, YUAN Ruiming, ZHOU Hui, WANG Guoxing et al. • Diance yu yibiao (2026)

Aiming at the influence of the fast, large range and random change of dynamic load current on the electricity metering, this paper firstly establishes a non-stationary random process modulation model and bimodal modulation model for complex...

DOAJ Open Access (DOAJ) DOI: 10.19753/j.issn1001-1390.2026.01.020

DAF-UNet: Deformable U-Net with Atrous-Convolution Feature Pyramid for Retinal Vessel Segmentation

Yongchao Duan, Rui Yang, Ming Zhao, Mingrui Qi et al. • Mathematics (2025)

Segmentation of retinal vessels from fundus images is critical for diagnosing diseases such as diabetes and hypertension. However, the inherent challenges posed by the complex geometries of vessels and the highly imbalanced distribution of ...

DOAJ Open Access (DOAJ) DOI: 10.3390/math13091454