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Mathematics, Volume 10, Issue 21

November-1 2022 - 245 articles

Cover Story: A diffusion-taking value in probability measures on undirected graphs is studied, and applications are presented. The masses on vertices satisfy the stochastic differential equation dx= ∑jN(i) \({\sqrt{x_{i} x_{j}}}\) dBij, where {Bij}  are independent Brownian motions with skew symmetry and N(i) is the neighbour of the vertex i. A dual Markov chain of the diffusion on ordered non-negative integer partitions is effectively used. A chain at a state a = (a1, ..., a|V|), where ai is the number of particles at i, jumps to aei + ej with rate ai(ai − 1)/2 if i and j are adjacent. For this cycle graph, possible transitions from (0, 2, 0, 1), a partition of 3, are shown in the right. A collision occurs between two particles in vertex 2, and one of them moves to one of the adjacent vertices: 1 or 3. View this paper
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Articles (245)

  • Article
  • Open Access
2 Citations
2,254 Views
29 Pages

7 November 2022

Rail expresses play a vital role in intracity and intercity transportations. For accommodating multi-source passenger traffic with different travel demand, while optimizing the energy consumption, we propose a multi-cycle train timetable optimization...

  • Article
  • Open Access
15 Citations
4,508 Views
23 Pages

Efficient Nonlinear Model Predictive Control of Automated Vehicles

  • Shuyou Yu,
  • Encong Sheng,
  • Yajing Zhang,
  • Yongfu Li,
  • Hong Chen and
  • Yi Hao

7 November 2022

In this paper, an efficient model predictive control (MPC) of velocity tracking of automated vehicles is proposed, in which a reference signal is given a priori. Five degree-of-freedom vehicle dynamics with nonlinear tires is chosen as the prediction...

  • Review
  • Open Access
11 Citations
3,061 Views
19 Pages

Moth Search: Variants, Hybrids, and Applications

  • Juan Li,
  • Yuan-Hua Yang,
  • Qing An,
  • Hong Lei,
  • Qian Deng and
  • Gai-Ge Wang

7 November 2022

Moth search (MS) is a nature-inspired metaheuristic optimization algorithm based on the most representative characteristics of moths, Lévy flights and phototaxis. Phototaxis signifies a movement which organism towards or away from a source of...

  • Article
  • Open Access
11 Citations
4,612 Views
15 Pages

An Approach Based on Semantic Relationship Embeddings for Text Classification

  • Ana Laura Lezama-Sánchez,
  • Mireya Tovar Vidal and
  • José A. Reyes-Ortiz

7 November 2022

Semantic relationships between words provide relevant information about the whole idea in the texts. Existing embedding representation models characterize each word as a vector of numbers with a fixed length. These models have been used in tasks invo...

  • Article
  • Open Access
10 Citations
2,808 Views
14 Pages

7 November 2022

The present study aims to examine the effects of uniform lateral mass flux on the boundary layer flow induced by a non-linearly stretching surface. For uniform mass flux, the boundary layer flow does not conform to a similarity solution. The problem...

  • Feature Paper
  • Article
  • Open Access
3 Citations
2,591 Views
15 Pages

Deep 3D Volumetric Model Genesis for Efficient Screening of Lung Infection Using Chest CT Scans

  • Muhammad Owais,
  • Haseeb Sultan,
  • Na Rae Baek,
  • Young Won Lee,
  • Muhammad Usman,
  • Dat Tien Nguyen,
  • Ganbayar Batchuluun and
  • Kang Ryoung Park

7 November 2022

In the present outbreak of COVID-19, radiographic imaging modalities such as computed tomography (CT) scanners are commonly used for visual assessment of COVID-19 infection. However, personal assessment of CT images is a time-taking process and deman...

  • Article
  • Open Access
3 Citations
1,768 Views
10 Pages

7 November 2022

Asymptotic expansions for U-statistics and V-statistics with degenerate kernels are investigated, respectively, and the remainder term O(n1−p/2), for some p≥4, is shown in both cases. From the results, it is obtained that asymptotic expansio...

  • Article
  • Open Access
16 Citations
3,489 Views
21 Pages

Enhanced Marine Predators Algorithm for Solving Global Optimization and Feature Selection Problems

  • Ahmed A. Ewees,
  • Fatma H. Ismail,
  • Rania M. Ghoniem and
  • Marwa A. Gaheen

7 November 2022

Feature selection (FS) is applied to reduce data dimensions while retaining much information. Many optimization methods have been applied to enhance the efficiency of FS algorithms. These approaches reduce the processing time and improve the accuracy...

  • Article
  • Open Access
3 Citations
3,094 Views
23 Pages

Framework for Integrated Use of Agent-Based and Ambient-Oriented Modeling

  • Khurrum Mustafa Abbasi,
  • Tamim Ahmed Khan and
  • Irfan ul Haq

7 November 2022

Agent-based modeling (ABM) is a flexible and simulation-friendly modeling approach. Ambient-oriented modeling is effective for systems containing ambient and spatial representations. In this paper we propose a framework for the integrated use of agen...

  • Article
  • Open Access
2 Citations
2,147 Views
13 Pages

7 November 2022

In this paper, the dynamics of a micro-nano particle on the micro-thin plate driven by an acoustic signal was investigated, including the particle kinematics mode, kinematics equation, and trajectory control. According to Newton’s kinematic the...

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Mathematics - ISSN 2227-7390