Congratulations Puan Durrani Aimi Abdul Malik for Passing her VIVA VOCE

On behalf of the Centre for Mathematical Sciences, we would like to congratulate Puan Durrani Aimi binti Abdul Malik, Master of Science (NEC461) – Field of Research in Mathematics, under the supervision of Assoc. Prof. Dr. Yuhani binti Yusof and co-supervised by Dr. Ku Muhammad Na`im bin Ku Khalif for successfully passing her viva voce on 21st October 2022. The title of her thesis is “Hybrid Fuzzy Analytical Process with Fuzzy Inference System on Ranking STEM Approach towards Blended Learning in Mathematics”

Bio-Mathematical Concepts in DNA Splicing System

Splicing system is a formal characterization of the generative capacity of specified enzymatic activities operating on specified set of double-stranded DNA molecules

n-cutting site of DNA splicing language for single string and palindromic rule

A new symbolization of Yusof-Goode (Y-G) splicing system was introduced by Yusof in 2012, is inspired by the framework of Formal Language Theory introduced by Head in 1987. Y-G splicing system is intended to present the biological process of DNA splicing in a translucent way. In this paper, starting with some relevant preliminaries, one theorem is proposed via Y-G approach using one initial string and one rule with different characteristics of the restriction enzyme. Additionally, the theorem showed the behavior of the splicing languages generated at single stage splicing. Two cases are considered in the theorem by conducting splicing using palindromic rule and palindromic recognition site with same left and right context for Case I and different left and right context for Case II. Furthermore, two molecular examples are discussed to validate two cases proposed in the theorem, which shows the real meaning of the theorem in biological aspect. From the proposed theorem, based on the splicing language generated, the type of splicing language can be determined. It is discovered that, the generated languages are in the form of limit and transient

Persistency And Permanency of Two Stages DNA Splicing Languages with Respect to One Initial String and Two Rules Via Yusof-Goode (Y-G) Approach

The notion of Yusof-Goode (Y-G) splicing system was first schemed by Yusof to study the relationship between formal language theory and molecular biology. The splicing languages that are produced by splicing system have some important characteristics called persistent and permanent. In biological perspective, the recombinant DNA molecules can be manipulated by recombination action if they have persistent property. Thus, the persistency as well as permanency of splicing languages (recombinant DNA molecules) is considered to be an interesting topic in the field of DNA recombination, particularly when the recombination process is accomplished at second stage. Conducting a wet-lab experiment to show the mentioned properties of splicing languages are time consuming and expensive. Therefore, to overcome this problem, mathematical approach is chosen to investigate the persistency and permanency of splicing languages which will be then given as theorem and corollary. Thus, an initial string (with two recognition sites) and two rules are considered for introducing the above characteristics using Y-G approach

Biomolecular aspects of second order limit language

The study on the recombinant behavior of double-stranded DNA molecules has led to the mathematical modelling of DNA splicing system. The interdisciplinary study is founded from the knowledge of informational macromolecules and formal language theory. A splicing language is resulted from a splicing system. Recently, second order limit language, a type of the splicing language, has been extensively explored. Before this, several types of splicing languages have been experimentally proven. Therefore, in this paper, a laboratory experiment was conducted to validate the existence of a second order limit language. To accomplish it, an initial strand of double-stranded DNA, amplified from bacteriophage lambda, was generated through polymerase chain reaction to generate thousands of copies of double-stranded DNA molecules. A restriction enzyme and ligase were added to the solution to complete the reaction. The reaction mixture was then subjected to polyacrylamide gel electrophoresis to separate biological macromolecules according to their sizes. A mathematical model derived at the early study was used to predict the approximate length of each string in the splicing language. The results obtained from the experiment are then used to verify the mathematical model of a second order limit language. This study shows that the theory on the second order limit language is biologically proven hence the model has been validated

Clustering of rainfall data using k-means algorithm

Clustering algorithms in data mining is the method for extracting useful information for a given data. It can precisely analyze the volume of data produced by modern applications. The main goal of clustering is to categorize data into clusters according to similarities, traits and behavior. This study aims to describe regional cluster pattern of rainfall based on maximum daily rainfall in Johor, Malaysia. K-Means algorithm is used to obtain optimal rainfall clusters. This clustering is expected to serve as an analysis tool for a decision making to assist hydrologist in the water research problem

Guest Speaker for The International Seminar and Global Learning System GLS Program with Binus University

Heartiest congratulations to the three academicians from the Discrete Mathematics panel; Assoc. Prof. Dr. Mohd Sham Mohamad, Assoc. Prof. Dr. Yuhani Yusof and Dr. Amirul Aizad Ahmad Fuad for their contributions as the Guest Speaker for the International Seminar and Global Learning System (GLS) Program with BINUS University, Indonesia between 20-21st March 2023

Some properties of compatible action graph

In this paper, the compatible action graph for the finite cyclic groups of p-power order has been considered. The purpose of this study is to introduce some properties of the compatible action graph for finite p-groups

A view of MCDM application in education

The effectiveness of the teaching and learning process by educators plays a significant role for countries to prepare students' potential in the forthcoming new industrial revolution (IR). However, the current COVID-19 pandemic and dynamic changes in the curriculum have created a significant shift of emphasis to educators. Hence, the teaching and learning process problems nowadays, including selecting appropriate effectiveness learning, have become a tough decision for educators. It can be solved using multi-criteria decision-making (MCDM) methods. The MCDM technique is widely applied and accepted in various fields but less in the teaching and learning context. This paper reviews and analyses the type of decision problems that were paid most attention to MCDM approaches, the adopted fuzzy set theory as well as inadequacies of those approaches. The purpose is to analyse and identify the literature review related to the applications of MCDM in education so new attributes and appropriate MCDM models for decision making can be suggested. The process involved comparing and analysing the MCDM application and fuzzy set theory in education by reviewing related articles in international scientific journals and well-known international conferences. Some improvements and more future works are recommended based on the inadequacies. The reviewed result may create an interest to the Ministry of Education (MoE) as it proposes teaching and learning process improvement, which will help to achieve greater satisfaction among educators and students

Mathematical Formulae

Mathematical Formulae intends to provide students, scientists, engineers, and researchers with a readily available reference to the mathematical formulae needed during their studies or work situation. It is a handy book that one must have on the bookshelf. The text is divided, for ease of reference, into ten main chapters embracing algebra, trigonometry, limit, differentiation and integration, vector calculus, coordinate geometry, differential equations, numerical methods, discrete mathematics, and financial mathematics. Essential theory, formulae, definitions and laws are clearly stated in this boo