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Mathematics, Volume 11, Issue 17

September-1 2023 - 181 articles

Cover Story: Detecting disease clusters using spatial data analysis is crucial for public health. While the circular scan method is commonly used for this purpose, it faces challenges when identifying clusters with non-circular shapes, which can result in reduced detection accuracy. To tackle this issue, several extensions have emerged to improve the identification of clusters with arbitrary shapes. The flexible–elliptical scan method combines the strengths of two well-known techniques: the flexible and elliptic scan methods, each specifically designed for detecting irregularly shaped clusters. By inheriting the advantages of the flexible and elliptic methods, the flexible–elliptical scan method represents a practical addition to the existing repertoire of spatial data analysis techniques. View this paper
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Articles (181)

  • Article
  • Open Access
2 Citations
3,386 Views
18 Pages

Classification of Motor Imagery Using Trial Extension in Spatial Domain with Rhythmic Components of EEG

  • Md. Khademul Islam Molla,
  • Sakir Ahamed,
  • Ahmed M. M. Almassri and
  • Hiroaki Wagatsuma

4 September 2023

Electrical activities of the human brain can be recorded with electroencephalography (EEG). To characterize motor imagery (MI) tasks for brain–computer interface (BCI) implementation is an easy and cost-effective tool. The MI task is represente...

  • Article
  • Open Access
6 Citations
3,425 Views
17 Pages

4 September 2023

The parallel processes involved in the production of refinery fuel gas, liquid petroleum gas (LPG), propylene, and polypropylene, occurring in thirteen refinery units, are modeled by the use of a Generalized Net (GN) apparatus. The modeling of the pr...

  • Article
  • Open Access
3 Citations
2,062 Views
15 Pages

4 September 2023

Future Internet of Things (IoT) will be a connected network of sensors enabling applications such as industrial automation and autonomous driving. To manage such a large number of applications, efficient computing techniques using fog nodes will be r...

  • Article
  • Open Access
1 Citations
1,712 Views
14 Pages

4 September 2023

In the paper, quasi-exponentiated normal distributions are introduced for any real power (exponent) no less than two. With natural exponents, the quasi-exponentiated normal distributions coincide with the distributions of the corresponding powers of...

  • Article
  • Open Access
7 Citations
2,205 Views
18 Pages

4 September 2023

This paper presents a groundbreaking numerical technique for solving nonlinear time fractional differential equations, combining the conformable continuity equation (CCE) with the Non-Polynomial Spline (NPS) interpolation to address complex mathemati...

  • Article
  • Open Access
1,261 Views
20 Pages

4 September 2023

In a thin heterogeneous porous layer, we carry out a multiscale analysis of Smoluchowski’s discrete diffusion–coagulation equations describing the evolution density of diffusing particles that are subject to coagulation in pairs. Assuming...

  • Article
  • Open Access
2 Citations
1,600 Views
16 Pages

Generalized Quantification Function of Monogenic Phase Congruency

  • Manuel G. Forero,
  • Carlos A. Jacanamejoy,
  • Maximiliano Machado and
  • Karla L. Penagos

4 September 2023

Edge detection is a technique in digital image processing that detects the contours of objects based on changes in brightness. Edges can be used to determine the size, orientation, and properties of the object of interest within an image. There are d...

  • Article
  • Open Access
14 Citations
4,220 Views
21 Pages

Deep Learning-Based Classification of Abrasion and Ischemic Diabetic Foot Sores Using Camera-Captured Images

  • Mudassir Khalil,
  • Ahmad Naeem,
  • Rizwan Ali Naqvi,
  • Kiran Zahra,
  • Syed Atif Moqurrab and
  • Seung-Won Lee

4 September 2023

Diabetic foot sores (DFS) are serious diabetic complications. The patient’s weakened neurological system damages the tissues of the foot’s skin, which results in amputation. This study aims to validate and deploy a deep learning-based sys...

  • Article
  • Open Access
6 Citations
3,184 Views
16 Pages

Attitude Control of UAVs with Search Optimization and Disturbance Rejection Strategies

  • Wensheng Li,
  • Fanke Yang,
  • Liqiang Zhong,
  • Hao Wu,
  • Xiangyuan Jiang and
  • Andrei V. Chukalin

4 September 2023

This study aims to achieve rapid and stable control of quadrotor unmanned aerial vehicles’ (UAVs) attitude by using an Active Disturbance Rejection Control (ADRC) controller. Addressing the challenge of numerous and complex ADRC parameters, optimizat...

  • Article
  • Open Access
19 Citations
1,793 Views
13 Pages

Designing a Bayesian Regularization Approach to Solve the Fractional Layla and Majnun System

  • Zulqurnain Sabir,
  • Atef F. Hashem,
  • Adnène Arbi and
  • Mohamed A. Abdelkawy

4 September 2023

The present work provides the numerical solutions of the mathematical model based on the fractional-order Layla and Majnun model (MFLMM). A soft computing stochastic-based Bayesian regularization neural network approach (BRNNA) is provided to investi...

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Mathematics - ISSN 2227-7390Creative Common CC BY license