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Mathematics, Volume 10, Issue 1

January-1 2022 - 164 articles

Cover Story: We introduce a betting game where the gambler aims to guess the last success epoch in a series of inhomogeneous Bernoulli trials paced randomly in time. At a given stage, the gambler may bet on either the event that no further successes occur, or the event that exactly one success is yet to occur, or may choose any proper range of future times (a trap). When a trap is chosen, the gambler wins if the last success epoch is the only one that falls in the trap. The game is closely related to the sequential decision problem of maximising the probability of stopping on the last success. We use this connection to analyse the best-choice problem with random arrivals generated by a Pólya-Lundberg process. View this paper.
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Articles (164)

  • Article
  • Open Access
1 Citations
3,306 Views
17 Pages

A Multi-Agent Motion Prediction and Tracking Method Based on Non-Cooperative Equilibrium

  • Yan Li,
  • Mengyu Zhao,
  • Huazhi Zhang,
  • Yuanyuan Qu and
  • Suyu Wang

5 January 2022

A Multi-Agent Motion Prediction and Tracking method based on non-cooperative equilibrium (MPT-NCE) is proposed according to the fact that some multi-agent intelligent evolution methods, like the MADDPG, lack adaptability facing unfamiliar environment...

  • Article
  • Open Access
10 Citations
2,782 Views
18 Pages

5 January 2022

The optimization of an integrated coal gangue system of mining, dressing, and backfilling in deep underground mining is a multi-objective and complex decision-making process, and the factors such as spatial layout, node location, and transportation e...

  • Article
  • Open Access
9 Citations
2,221 Views
11 Pages

Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

  • Alyaa A. Al-Qarni,
  • Huda O. Bakodah,
  • Aisha A. Alshaery,
  • Anjan Biswas,
  • Yakup Yıldırım,
  • Luminita Moraru and
  • Simona Moldovanu

4 January 2022

The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian deco...

  • Article
  • Open Access
5 Citations
2,288 Views
16 Pages

Cascaded Cross-Layer Fusion Network for Pedestrian Detection

  • Zhifeng Ding,
  • Zichen Gu,
  • Yanpeng Sun and
  • Xinguang Xiang

4 January 2022

The detection method based on anchor-free not only reduces the training cost of object detection, but also avoids the imbalance problem caused by an excessive number of anchors. However, these methods only pay attention to the impact of the detection...

  • Article
  • Open Access
31 Citations
3,238 Views
25 Pages

Optimal Sizing of Stand-Alone Microgrids Based on Recent Metaheuristic Algorithms

  • Ahmed A. Zaki Diab,
  • Ali M. El-Rifaie,
  • Magdy M. Zaky and
  • Mohamed A. Tolba

4 January 2022

Scientists have been paying more attention to the shortage of water and energy sources all over the world, especially in the Middle East and North Africa (MENA). In this article, a microgrid configuration of a photovoltaic (PV) plant with fuel cell (...

  • Feature Paper
  • Article
  • Open Access
2,076 Views
12 Pages

4 January 2022

In this paper, the class of matrix functions A(t) is determined for which the condition that the pointwise spectrum σ(A(t))⊂z∈C;ℜz≤−α for all t≥t0 and some α>0 is sufficient for uniform asymptotic stabil...

  • Article
  • Open Access
9 Citations
6,844 Views
16 Pages

4 January 2022

This study empirically analyzes and compares return data from developed and emerging market data based on the Fama French five-factor model and compares it to previous results from the Fama French three-factor model by Kostin, Runge and Adams (2021)....

  • Article
  • Open Access
1,875 Views
14 Pages

Stochastic Approximate Algorithms for Uncertain Constrained K-Means Problem

  • Jianguang Lu,
  • Juan Tang,
  • Bin Xing and
  • Xianghong Tang

4 January 2022

The k-means problem has been paid much attention for many applications. In this paper, we define the uncertain constrained k-means problem and propose a (1+ϵ)-approximate algorithm for the problem. First, a general mathematical model of the unc...

  • Article
  • Open Access
6 Citations
2,280 Views
17 Pages

4 January 2022

Using simple fuzzy numbers to approximate general fuzzy numbers is an important research aspect of fuzzy number theory and application. The existing results in this field are basically based on the unweighted metric to establish the best approximatio...

  • Article
  • Open Access
11 Citations
2,173 Views
21 Pages

4 January 2022

We consider online algorithms with respect to the competitive ratio. In this paper, we explore one-way automata as a model for online algorithms. We focus on quantum and classical online algorithms. For a specially constructed online minimization pro...

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Mathematics - ISSN 2227-7390