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Mathematics, Volume 11, Issue 8

April-2 2023 - 213 articles

Cover Story: \({\mathrm{Sol}_{1}^{4}}\) is one of the 19 model spaces for 4-dim Thurston geometries. Some of them, including our ambient space, allow a specific non-geodesic translation which carries a unit vector given at the origin to any point in space by its tangent mapping. The corresponding curve is called the translation curve.
Geodesics and translation curves are investigated in this paper, followed by a discussion of their curvature properties. It is shown that translation curves in \({\mathrm{Sol}_{1}^{4}}\) are helices of order 4. Until now, the known translation curves in 4-dim Thurston geometries were only helices of order 3. View this paper
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Articles (213)

  • Article
  • Open Access
2,121 Views
22 Pages

21 April 2023

This study proposes an intensive longitudinal functional model with multiple time-varying scales and subject-specific random intercepts through mixed model equivalence that includes multiple functional predictors, one or more scalar covariates, and o...

  • Article
  • Open Access
1 Citations
1,905 Views
13 Pages

A Semi-Federated Active Learning Framework for Unlabeled Online Network Data

  • Yuwen Zhou,
  • Yuhan Hu,
  • Jing Sun,
  • Rui He and
  • Wenjie Kang

21 April 2023

Federated Learning (FL) is a newly emerged federated optimization technique for distributed data in a federated network. The participants in FL that train the model locally are classified into client nodes. The server node assumes the responsibility...

  • Article
  • Open Access
7 Citations
2,829 Views
22 Pages

Base Station Planning Based on Region Division and Mean Shift Clustering

  • Jian Chen,
  • Yongkun Shi,
  • Jiaquan Sun,
  • Jiangkuan Li and
  • Jing Xu

21 April 2023

The problem of insufficient signal coverage of 5G base stations can be solved by building new base stations in areas with weak signal coverage. However, due to construction costs and other factors, it is not possible to cover all areas. In general, a...

  • Article
  • Open Access
6 Citations
5,402 Views
15 Pages

21 April 2023

An increase in the size of large-format Li-ion batteries (LIBs) may lead to nonuniform temperature distribution, which degrades the performance and lifespan of the LIBs. To address this issue, we performed design optimization using a 3D electrochemic...

  • Article
  • Open Access
3 Citations
1,959 Views
18 Pages

Multi-Scale Annulus Clustering for Multi-Label Classification

  • Yan Liu,
  • Changshun Liu,
  • Jingjing Song,
  • Xibei Yang,
  • Taihua Xu and
  • Pingxin Wang

21 April 2023

Label-specific feature learning has become a hot topic as it induces classification models by accounting for the underlying features of each label. Compared with single-label annotations, multi-label annotations can describe samples from more compreh...

  • Article
  • Open Access
2 Citations
2,123 Views
19 Pages

21 April 2023

One of the hot topics in the study of rock and soil hydraulics is the size effect of a soil–rock mixture’s (SRM) seepage characteristics. The seepage process of the SRM was simulated from the pore scale through the lattice Boltzmann metho...

  • Article
  • Open Access
6 Citations
2,159 Views
16 Pages

21 April 2023

Today, reciprocating internal combustion engines are used in many branches of the economy (power engineering, machine engineering, transportation, and others). In order for piston engines to meet stringent environmental and economic regulations, it i...

  • Article
  • Open Access
1 Citations
1,612 Views
12 Pages

21 April 2023

The superposition formulas of multi-solutions to the (3+1)-dimensional generalized shallow water wave-like Equation (GSWWLE) are proposed. There are arbitrary test functions in the superposition formulas of the mixed solutions and the interaction sol...

  • Review
  • Open Access
30 Citations
8,653 Views
41 Pages

Review of GrabCut in Image Processing

  • Zhaobin Wang,
  • Yongke Lv,
  • Runliang Wu and
  • Yaonan Zhang

21 April 2023

As an image-segmentation method based on graph theory, GrabCut has attracted more and more researchers to pay attention to this new method because of its advantages of simple operation and excellent segmentation. In order to clarify the research stat...

  • Article
  • Open Access
6 Citations
2,356 Views
18 Pages

Coordinated Slip Control of Multi-Axle Distributed Drive Vehicle Based on HLQR

  • Yutong Bao,
  • Changqing Du,
  • Dongmei Wu,
  • Huan Liu,
  • Wei Liu and
  • Jun Li

21 April 2023

For multi-axle distributed drive (MADD) vehicles, the complexity of the longitudinal dynamics control system increases with the number of driven wheels, which presents a huge challenge to control the multi-motor drive vehicle with more than four whee...

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Mathematics - ISSN 2227-7390