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Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023)

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A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 9311

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Special Issue Editors

Prof. Dr. Abdul Ghafur Ahmad

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Guest Editor

Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Interests: group theory; combinatorial algebra

Dr. Nurulkamal Masseran

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Guest Editor

Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Interests: applied statistical modeling; data mining; environmental statistics

Prof. Dr. Anuar Mohd Ishak

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Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Interests: fluid mechanics

Prof. Dr. Noriszura Ismail

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Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Interests: actuarial modelling; statistical modelling; risk management

Dr. Eddie Shahril Ismail

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Guest Editor

Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Interests: cryptography; digital signature; computational number theory

Dr. Rozita Ramli

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Dr. Razik Ridzuan Mohd Tajuddin

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Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Interests: actuarial modelling; statistical modelling

Special Issue Information

Dear Colleagues,

We are pleased to announce the 5th International Conference on Mathematical Sciences (ICMS5 2023), a conference organized by the Department of Mathematical Sciences, Universiti Kebangsaan Malaysia. This conference will be held in Bangi Resort Hotel, Bangi, Malaysia on 16–17 May 2023.

Further information can be found at our onference web page: https://www.ukm.my/icms/.

The last four conferences were held on 28–29 Nov. 2007 (ICMS), 30 Nov.–3 Dec. 2010 (ICMS2), 17–19 Dec. 2013 (ICMS3) and 15–17 Nov. 2016 (ICMS4). The success of our previous conference has attracted and sustained interest from a variety of many international participants, giving ample reason to continue these events going forward.

The conference provides opportunities for participants to exchange new ideas and application experiences, establish research relationships, and find academic partners for future collaborations. The growing concern on the transfer of mathematical sciences knowledge demands an enhancement in overall disciplinary competency. Applying mathematical sciences to real problems will constitute a large challenge.

Participants of this conference are invited to contribute a full manuscript to our Special Issue in the journal Symmetry. The aim of this Special Issue is to assemble innovative papers on theory, methodology, and applications suited to our theme, “Embracing Development and Innovation in Mathematical Sciences”.

We encourage submissions presenting original works with high scientific merit in areas of mathematical theory, statistical, computational or mathematical approaches. The field of interest covers pure and applied mathematics, statistics, operational research, actuarial science, quality and productivity, data science, and mathematical education.

Prof. Dr. Abdul Ghafur Ahmad
Dr. Nurulkamal Masseran
Prof. Dr. Anuar Mohd Ishak
Prof. Dr. Noriszura Ismail
Dr. Eddie Shahril Ismail
Dr. Rozita Ramli
Dr. Razik Ridzuan Mohd Tajuddin
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

pure maths
applied mathematics
statistics
operational research
actuarial science
quality and productivity
data science
mathematical educations

Published Papers (6 papers)

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Research

13 pages, 807 KiB

Open AccessArticle

Measurable Version of Spectral Decomposition Theorem for a

Z^{2}

-Action

by Nor Syahmina Kamarudin and Syahida Che Dzul-Kifli

Symmetry 2023, 15(6), 1223; https://doi.org/10.3390/sym15061223 - 08 Jun 2023

Viewed by 637

Abstract

In this article, we present a measurable version of the spectral decomposition theorem for a

Z^{2}

-action on a compact metric space. In the process, we obtain some relationships for a

Z^{2}

-action with shadowing property and k-type weak extending [...] Read more.

In this article, we present a measurable version of the spectral decomposition theorem for a

Z^{2}

-action on a compact metric space. In the process, we obtain some relationships for a

Z^{2}

-action with shadowing property and k-type weak extending property. Then, we introduce a definition of measure expanding for a

Z^{2}

-action by using some properties of a Borel measure. We also prove one property that occurs whenever a

Z^{2}

-action is invariantly measure expanding. All of the supporting results are necessary to prove the spectral decomposition theorem, which is the main result of this paper. More precisely, we prove that if a

Z^{2}

-action is invariantly measure expanding, has shadowing property and has k-type weak extending property, then it has spectral decomposition. Full article

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))

17 pages, 1714 KiB

Open AccessArticle

Training Data Selection for Record Linkage Classification

by Zaturrawiah Ali Omar, Zamira Hasanah Zamzuri, Noratiqah Mohd Ariff and Mohd Aftar Abu Bakar

Symmetry 2023, 15(5), 1060; https://doi.org/10.3390/sym15051060 - 10 May 2023

Cited by 1 | Viewed by 1373

Abstract

This paper presents a new two-step approach for record linkage, focusing on the creation of high-quality training data in the first step. The approach employs the unsupervised random forest model as a similarity measure to produce a similarity score vector for record matching. Three constructions were proposed to select non-match pairs for the training data, with both balanced (symmetry) and imbalanced (asymmetry) distributions tested. The top and imbalanced construction was found to be the most effective in producing training data with 100% correct labels. Random forest and support vector machine classification algorithms were compared, and random forest with the top and imbalanced construction produced an F₁-score comparable to probabilistic record linkage using the expectation maximisation algorithm and EpiLink. On average, the proposed approach using random forests and the top and imbalanced construction improved the F₁-score by 1% and recall by 6.45% compared to existing record linkage methods. By emphasising the creation of high-quality training data, this new approach has the potential to improve the accuracy and efficiency of record linkage for a wide range of applications. Full article

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))

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12 pages, 3786 KiB

Open AccessArticle

Heat and Mass Transfer on Magnetohydrodynamics Casson Carbon Nanotubes Nanofluid Flow in an Asymmetrical Channel via Porous Medium

by Wan Nura’in Nabilah Noranuar, Ahmad Qushairi Mohamad, Sharidan Shafie and Lim Yeou Jiann

Symmetry 2023, 15(4), 946; https://doi.org/10.3390/sym15040946 - 20 Apr 2023

Cited by 3 | Viewed by 1240

Abstract

The rapid development of nanotechnology in our emerging industries has drawn the interest of numerous researchers and scientists, especially in experimental and numerical studies. Therefore, the present analytical study will help reduce time and costs and validate the numerical study. However, the analytical research of carbon nanotubes with Casson fluid in a channel is still limited. Therefore, the current analytical study inspected the consequences of carbon nanotubes (CNTs) nanoparticles on the heat and mass transfer of magnetohydrodynamics (MHD) Casson nanofluid flow induced by a moving vertical plate with a porous region inside an asymmetrical channel. Dimensional governing equations are used for the modelling, which is then expressed in a dimensionless form by employing dimensionless variables. The analytical solutions for the velocity, temperature, and concentration are tackled using the Laplace transform technique. The temperature and velocity are significantly enhanced when increasing the nanoparticle volume fraction. This is due to the outstanding characteristic of nanofluid thermal conductivity, which results in an efficient heat transfer. This result has the potential to be applied to various nanofluid cooling technologies. Since the solutions are determined in an analytical form, this study could be used as a reference for other numerical and experimental works and a guide for several industries. Full article

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))

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19 pages, 3876 KiB

Open AccessArticle

Modeling the Characteristics of Unhealthy Air Pollution Events Using Bivariate Copulas

by Mohd Sabri Ismail and Nurulkamal Masseran

Symmetry 2023, 15(4), 907; https://doi.org/10.3390/sym15040907 - 13 Apr 2023

Cited by 3 | Viewed by 1159

Abstract

Investigating the dependence structures among the characteristics of the current unhealthy air pollution events is a valuable endeavor to understand the pollution behavior more clearly and determine the potential future risks. This study determined the characteristics of air pollution events based on their duration, severity, and intensity. It focused on modeling the dependence structures for all the possible pairs of characteristics, which were (duration, intensity), (severity, intensity), and (duration, severity), using various parametric copula models. The appropriate copula models for describing the behavior of the relationship pairs of the (duration, intensity), (severity, intensity), and (duration, severity) were found to be the Tawn type 1, 180°-rotated Tawn type 1, and Joe, respectively. This result showed that the dependence structures for the pairs were skewed and asymmetric. Therefore, the obtained copulas were appropriate models for such non-elliptical structures. These obtained models can be further extended in future work through the vine copula approach to provide a more comprehensive insight into the tri-variate relationship of the duration–intensity–severity characteristics. Full article

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))

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16 pages, 1138 KiB

Open AccessArticle

Modified Generalized Feistel Network Block Cipher for the Internet of Things

by Isma Norshahila Mohammad Shah, Eddie Shahril Ismail, Faieza Samat and Normahirah Nek Abd Rahman

Symmetry 2023, 15(4), 900; https://doi.org/10.3390/sym15040900 - 12 Apr 2023

Cited by 3 | Viewed by 2175

Abstract

With the advent of the Internet-of-Things (IoT) technologies, millions of low-resource devices are constantly used at the network’s edge. As a result, the large amount of private and sensitive data generated by these devices must be securely transported, stored, and processed, posing a challenge because these resource-constrained IoT devices cannot meet the criteria of conventional encryption ciphers. Due to this limitation on IoT-enabled devices, lightweight cryptography has emerged as a new area of study. Lightweight block ciphers, a subfield of lightweight cryptography, include the substitution–permutation network (SPN) and Feistel-based networks. Feistel networks are further divided into two types: classical Feistel networks and generalized Feistel networks (GFN). While classical Feistel ciphers divide a message into two sub-blocks, GFN divides a message into k sub-blocks for some k > 2 called the partition number. One popular form of GFN is the so-called Type-II. Unfortunately, this type of Feistel structure needs a large number of rounds to obtain a full diffusion property. A full diffusion means all output sub-blocks are affected by all input sub-blocks. Therefore, this paper proposed a new lightweight block cipher by modifying the GFN structure, focusing on providing optimal security to the cipher with a small number of rounds. The algorithm was subjected to a series of statistical and cryptographic randomization analyses in order to investigate the avalanche effect on the ciphertext and the algorithm’s random properties, such as confusion, diffusion, and independence. The avalanche criterion and output randomness results show that this algorithm meets the fundamental security requirement for a lightweight block cipher. Full article

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))

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29 pages, 9464 KiB

Open AccessArticle

MHD Mixed Convection Flow of Hybrid Ferrofluid through Stagnation-Point over the Nonlinearly Moving Surface with Convective Boundary Condition, Viscous Dissipation, and Joule Heating Effects

by Syafiq Zainodin, Anuar Jamaludin, Roslinda Nazar and Ioan Pop

Symmetry 2023, 15(4), 878; https://doi.org/10.3390/sym15040878 - 07 Apr 2023

Cited by 2 | Viewed by 1658

Abstract

This paper discusses a numerical study performed in analysing the performance regarding the magnetic effect on the mixed convection stagnation-point flow of hybrid ferrofluid, examining the influence of viscous dissipation, convective boundary condition as well as Joule heating across a nonlinearly moving surface. [...] Read more.

(H_{2} O)

is employed as the base fluid collectively with the mixtures of nanoparticles containing magnetite

(F e_{3} O_{4})

and cobalt ferrite

(CoF e_{2} O_{4})

, forming a hybrid ferrofluid. The partial differential equation’s complexity is reduced by similarity transformation into a system of ordinary differential equations, which are then numerically solved by applying the MATLAB function bvp4c for a specific range of values regarding the governing parameters. Dual solutions were identified under both opposing and assisting flow conditions, and the stability analysis identified that the first solution was stable. Furthermore, it was also revealed that the addition of 1%

CoF e_{2} O_{4}

in hybrid ferrofluid led to a higher skin friction coefficient between 3.35% and 7.18% for both assisting and opposing flow regions. Additionally, the growth of magnetic fields results in a reduced heat transfer rate between 8.75% to 10.65%, whilst the presence of the suction parameter expands the range of solutions, which then delays the boundary layer separation. With the Eckert number included, the heat transfer rate continuously declined between 7.27% to 10.24%. However, it increased by about 280.64% until 280.98% as the Biot number increased. Full article

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))

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