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Mathematics, Volume 10, Issue 4

February-2 2022 - 139 articles

Cover Story: One of the fundamental problems in submanifold theory is the establishment of optimal relationships between intrinsic and extrinsic submanifold invariants. In order to establish such relationships, the notion of δ-invariants for Riemannian manifolds, which are different from classical curvature invariants, were introduced by the first author in the 1990s. Earlier research on δ-invariants and their applications have been summarized in the first author’s book, published in 2011, titled “Pseudo-Riemannian Geometry, δ-Invariants and Applications” (ISBN: 978-981-4329-63-7). In this survey, we present a comprehensive account of the development of the differential geometry of submanifolds in complex space forms involving δ-invariants since the publication of that book. View this paper
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Articles (139)

  • Article
  • Open Access
13 Citations
2,376 Views
25 Pages

21 February 2022

In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpos...

  • Article
  • Open Access
8 Citations
2,957 Views
19 Pages

A Model for Brucellosis Disease Incorporating Age of Infection and Waning Immunity

  • Cyrille Kenne,
  • Gisèle Mophou,
  • René Dorville and
  • Pascal Zongo

21 February 2022

This paper proposes a model for brucellosis transmission. The model takes into account the age of infection and waning immunity, that is, the progressive loss of immunity after recovery. Three routes of transmissions are considered: vertical transmis...

  • Article
  • Open Access
45 Citations
4,460 Views
19 Pages

Infrared Small Target Detection Based on Partial Sum Minimization and Total Variation

  • Sur Singh Rawat,
  • Saleh Alghamdi,
  • Gyanendra Kumar,
  • Youseef Alotaibi,
  • Osamah Ibrahim Khalaf and
  • Lal Pratap Verma

21 February 2022

In the advanced applications, based on infrared detection systems, the precise detection of small targets has become a tough work today. This becomes even more difficult when the background is highly dense in addition to the nature of small targets....

  • Article
  • Open Access
2 Citations
2,327 Views
16 Pages

Pathwise Convergent Approximation for the Fractional SDEs

  • Kęstutis Kubilius and
  • Aidas Medžiūnas

21 February 2022

Fractional stochastic differential equation (FSDE)-based random processes are used in a wide spectrum of scientific disciplines. However, in the majority of cases, explicit solutions for these FSDEs do not exist and approximation schemes have to be a...

  • Article
  • Open Access
2,150 Views
24 Pages

21 February 2022

This work is situated at the conjunction of the fields of distributed systems, telecommunications, and mathematical modeling, aiming to offer solutions to the problem of people’s overexposure to electro-magnetic fields (EMF) radiation. In this...

  • Article
  • Open Access
6 Citations
2,197 Views
14 Pages

Inflated Unit-Birnbaum-Saunders Distribution

  • Guillermo Martínez-Flórez,
  • Roger Tovar-Falón and
  • Carlos Barrera-Causil

21 February 2022

The modeling different data behaviour like the human development index as a function of life expectancy, the water capacity of a reservoir with respect to a certain threshold, or the percentage of death rate of an infant before his or her first birth...

  • Article
  • Open Access
15 Citations
2,934 Views
25 Pages

Impact of Advance Payments of Tax on Profit on Effectiveness of Investments

  • Tatiana Filatova,
  • Peter Brusov and
  • Natali Orekhova

21 February 2022

Recently Brusov et al. have developed innovative investment models that are very close to investment practice. Investment models with frequent payments of tax on profit and of interest on debt at the ends of periods have been considered. However, in...

  • Article
  • Open Access
6 Citations
2,027 Views
14 Pages

20 February 2022

In the current paper, we first introduce a new class of contractions via a new notion called p-cyclic contraction mapping by combining the ideas of cyclic contraction mapping and p-contraction mapping. Then, we give a new definition of a cyclically 0...

  • Article
  • Open Access
3 Citations
3,617 Views
19 Pages

Color and Timbre Gestures: An Approach with Bicategories and Bigroupoids

  • Maria Mannone,
  • Giovanni Santini,
  • Esther Adedoyin and
  • Carmine E. Cella

20 February 2022

White light can be decomposed into different colors, and a complex sound wave can be decomposed into its partials. While the physics behind transverse and longitudinal waves is quite different and several theories have been developed to investigate t...

  • Article
  • Open Access
12 Citations
3,188 Views
18 Pages

Towards Knowledge-Based Tourism Chinese Question Answering System

  • Jiahui Li,
  • Zhiyi Luo,
  • Hongyun Huang and
  • Zuohua Ding

20 February 2022

With the rapid development of the tourism industry, various travel websites are emerging. The tourism question answering system explores a large amount of information from these travel websites to answer tourism questions, which is critical for provi...

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Mathematics - ISSN 2227-7390