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The Role of Mathematical Models in Diagnosing Retinal Diseases: An Analytical Study Using OCT and Ultrasound

Authors Dept. of Mathematics, Faculty of Science, University of Tobruk, Libya [email protected] Faculty of Medicine Science, University of Dar El Salam, Libya [email protected] Paper DOI https://doi.org/10.59992/IJSR.2025.v4n3p2 Abstract Retinal diseases, including macular degeneration and diabetic retinopathy, are major causes of vision loss. Early and accurate diagnosis is essential for effective treatment… اقرأ المزيد »The Role of Mathematical Models in Diagnosing Retinal Diseases: An Analytical Study Using OCT and Ultrasound

Families of Disjoint Sets Colouring (Partitioning) Technique and Standard of Partition for Edge Colouring

Authors Associate Professor, Department of Pure Mathematics, Faculty of mathematical Sciences and Informatics, University of Khartoum, Khartoum, Sudan [email protected] Paper DOI https://doi.org/10.59992/IJSR.2025.v4n3p12 Abstract Families of disjoint sets colouring (partitioning) technique is trial to unify and generalize all types of colouring such as edge colouring, vertex colouring, and face colouring. The… اقرأ المزيد »Families of Disjoint Sets Colouring (Partitioning) Technique and Standard of Partition for Edge Colouring

The Role of Euler’s Equations in the Design and Analysis of Respirators and Artificial Lungs

Authors Dept. of Mathematics, Faculty of Science, University of Tobruk, Libya [email protected] Dept. of Mathematics, Faculty of Science, University of Tobruk, Libya [email protected] Faculty of Medicine Science, University of Dar El Salam, Libya [email protected] Paper DOI https://doi.org/10.59992/IJSR.2025.v4n2p9 Abstract Respirators and artificial lungs are vital tools in the healthcare field, used… اقرأ المزيد »The Role of Euler’s Equations in the Design and Analysis of Respirators and Artificial Lungs

Families of Disjoint Sets Colouring Technique and Concept of Common Face and Non-Common Face

Authors Associate Professor, Department of Pure Mathematics, Faculty of mathematical Sciences and Informatics, University of Khartoum, Khartoum, Sudan [email protected] Paper DOI https://doi.org/10.59992/IJSR.2025.v4n1p12 Abstract Families of disjoint sets colouring technique is trial to generalize all type of colouring and partition. This paper related to face colouring, in this paper we introduce… اقرأ المزيد »Families of Disjoint Sets Colouring Technique and Concept of Common Face and Non-Common Face

How to Maximize Minimum Number of Colour Classes for Edge Colouring Using Families of Disjoint Sets Colouring Technique

Authors Associate Professor, Department of Pure Mathematics, Faculty of mathematical Sciences and Informatics, University of Khartoum, Khartoum, Sudan [email protected] Paper DOI https://doi.org/10.59992/IJSR.2024.v3n12p7 Abstract In this paper we use families of disjoint sets colouring technique, to introduce some results of edge colouring for minimum and maximum number of colour classes, and… اقرأ المزيد »How to Maximize Minimum Number of Colour Classes for Edge Colouring Using Families of Disjoint Sets Colouring Technique

Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

Authors Lecturer, Dept. of Mathematics, Faculty of Education, University of Benghazi, Libya [email protected] Assistant Professor, Dept. of Mathematics, Faculty of Science, University of Benghazi, Libya [email protected] Paper DOI https://doi.org/10.59992/IJSR.2023.v2n12p5 Abstract We consider the nonlinear neutral differential equation: and use the contraction mapping principle to show the asymptotic stability of the… اقرأ المزيد »Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

The Egwaider Type-II Distribution

Author Department of Statistics, Faculty of Science, University of Benghazi, Libya [email protected] Paper DOI https://doi.org/10.59992/IJSR.2023.v2n11p6 Abstract The aim of this paper is to illustrate the Egwaider type-II (EGW-II) distribution as a new discrete probability distribution that may will have some practical applications in life. The EGW-II distribution is a discrete… اقرأ المزيد »The Egwaider Type-II Distribution

The Best Common Feature Between ii-Open and α-Open Sets

Authors Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq. [email protected] Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq. [email protected] Abstract It is well known that for any topological space the family of all α-open sets is also a… اقرأ المزيد »The Best Common Feature Between ii-Open and α-Open Sets