PSR Press – Mission Statement

Ptolemy Scientific Research Press (PSR Press) is a highly regarded publisher of scientific literature dedicated to bringing the latest research and findings to a broader audience. With a focus on cutting-edge research and technology, Ptolemy Scientific Research Press offers a range of publications catering to professionals, researchers, and student’s needs. Whether looking for information on the latest breakthroughs in physics, biology, engineering, or computer science, you can trust Ptolemy Scientific Research Press to deliver insightful, accurate, and engaging content. With its commitment to quality, accessibility, and innovation, Ptolemy Scientific Research Press is an essential resource for anyone interested in science and technology.

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Our Journals

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Latest in Press

Author(s): Johan Kok1
1Independent Mathematics Researcher, City of Tshwane, South Africa \& Visiting Faculty at CHRIST (Deemed to be a University), Bangalore, India.
Abstract:

The concept of Lucky colorings of a graph is used to introduce the notion of the Lucky \(k\)-polynomials of null graphs. We then give the Lucky \(k\)-polynomials for complete split graphs and generalized star graphs. Finally, further problems of research related to this concept are discussed.

Author(s): M. Palanikumar1, K. Arulmozhi2
1Kings Engineering College, Department of Mathematics, Chennai-602117, India.
2Bharath Institute of Higher Education And Research, Department of Mathematics, Chennai-600073, India.
Abstract:

In the present communication, we introduce the theory of Type-II generalized Pythagorean bipolar fuzzy soft sets and define complementation, union, intersection, AND, and OR. The Type-II generalized Pythagorean bipolar fuzzy soft sets are presented as a generalization of soft sets. We showed De Morgan’s laws, associate laws, and distributive laws in Type-II generalized Pythagorean bipolar fuzzy soft set theory. Also, we advocate an algorithm to solve the decision-making problem based on a soft set model.

Author(s): Isaac Owino Okoth1
1Department of Pure and Applied Mathematics, Maseno University, Maseno, Kenya
Abstract:

A \(k\)-plane tree is a tree drawn in the plane such that the vertices are labeled by integers in the set \(\{1,2,\ldots,k\}\), the children of all vertices are ordered, and if \((i,j)\) is an edge in the tree, where \(i\) and \(j\) are labels of adjacent vertices in the tree, then \(i+j\leq k+1\). In this paper, we construct bijections between these trees and the sets of \(k\)-noncrossing increasing trees, locally oriented \((k-1)\)-noncrossing trees, Dyck paths, and some restricted lattice paths.

Author(s): Ivan Gutman1
1Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Abstract:

TEMO = topological effect on molecular orbitals was discovered by Polansky and Zander in 1982, in connection with the eigenvalues of molecular graphs. Eventually, analogous regularities were established for a variety of other topological indices. We now show that a TEMO-type regularity also holds for the Sombor index (\(SO\)): For the graphs \(S\) and \(T\), constructed by connecting a pair of vertex-disjoint graphs by two edges, \(SO(S) < SO(T)\) holds. Analogous relations are verified for several other degree-based graph invariants.

Author(s): Aschale Moges Belay1
1Department of Mathematics, Debark University, P.O.Box 90, Ethiopia.
Abstract:

This study focused on line integral and its applications. The study was designed to show the areas where line integral is applicable and point out the role of line integral in solving practical problems. The study found out that space curves, and the concepts of scalar and vector fields are basic concepts to deal line integral. Also, the study found out that line integral is used to calculate mass, center of mass and moments of inertia of a wire, work done by a force on an object moving in a vector field, magnetic field around a conduct, voltage generated in a loop, length of a curve, area of a region bounded by a closed curve, and volume of a solid formed by rotating a closed curve about the \(x-\)axis.

Author(s): Rasul Rasuli1
1Department of Mathematics, Payame Noor University(PNU), Tehran, Iran.
Abstract:

In this paper, by using \(t\)-norms, we introduce fuzzy subalgebras and fuzzy \(d\)-ideals of \(d\)-algebra and investigate some properties of them. Moreover, we define the cartesian product and intersection of fuzzy subalgebras and fuzzy \(d\)-ideals of \(d\)-algebra. Finally, by homomorphisms of \(d\)-algebras, we consider the image and pre-image of them.

Author(s): Dr. Adesogan1, Sunday Olufemi1
1Civil Engineering Department, University of Ibadan, Nigeria.
Abstract:

Water scarcity comes with its attendant socio-economic effects. This paper evaluated the potential water supply and sanitation facilities in Dagbolu-Nigeria to boost economy. Facilities survey was carried out for the study including information from water, sanitation and health institutions across the State. GIS approach was used to depict the groundwater recharge potential of the study area.15.3% of the populace have access to potable water while 32.5% have access to good sanitation. Water-related diseases in the area are preponderantly malaria (81.2%), diarrhoea (8.41%), typhoid fever (3.40%), dysentery (3.22%) and cholera (2.76%). Annual loss due to unproductive downtime sickness in the Nigeria is estimated to be N 414,763,442,768:00. Improve management through effective policies of water resources leading to good water supply, hygiene and sanitation will enhance development or our underdeveloped countries.

Author(s): Pranay Dutta1, Md. Razaya Rabbi2, Mohammad Abu Sufian3, Shahnaz Mahjebin4
1Department of Textile Technology, Chittagong Technical College, Chattogram, Bangladesh.
2Department of Merchandising, Opex and Sinha Textile Group, Narayangonj, Bangladesh.
3Department of Wet Processing, Textile Engineering College, Zorargonj, Chattogram, Bangladesh.
4Department of Industrial Engineering, Regency Garments Ltd., Chattogram, Bangladesh.
Abstract:

Wastewater discharged by dye manufacturing and textile finishing industries has become an environmental concern. The textile dyeing plants utilize a variety of synthetic dyes and dump massive amounts of dyeing effluent because the uptake of these dyes by fabrics is very low. The plant’s photosynthetic activity is significantly harmed by this highly colored textile dyeing effluent, impairs aquatic life because of its low light penetration and oxygen consumption. Owing to the presence of heavy metallic materials and chlorine in synthetic dyes, it could also be harmful to some aquatic creatures. Therefore, these textile wastewaters need to be treated before their discharge. Various techniques for dealing with textile dyeing effluent have been discussed in this paper. Treatment techniques presented in this study include oxidation methods, physical methods, and biological methods. Also, the paper is prepared to compile all the updated data on textile dyeing effluents’ characterization and their impact on the environment from various journals and websites and some from personal communication with some factories. Since an extensive range of synthetic dyes, namely, azo dye, vat dye, reactive dye, disperse dye, is widely used in the textile industry, some of the dyeing effluents’ physicochemical parameters surpassed their standard limits. Hence, these days, the proper monitoring and corrective steps such as the elimination process have become the most thoughtful tasks globally, particularly the developing and transition economies. It is crucial to take immediate action to minimize environmental emissions due to the discharge of untreated textile dye waste.

Author(s): Sumit Garg1, Anjali Verma2, Manoj Kumar3
1Saraswathi Institute of Medical Sciences, Hapur, UP.
2Teerthankar Mahaveer Medical College and Research Center, Moradabad, UP.
3Autonomous State Medical College, Basti, UP.
Abstract:

Prevalence of Obstructive sleep apnoea (OSA) has been increasing owing to increase in its risk factors. The pathophysiology of OSA is related to narrowing or obliteration of upper airway. Neck circumference (NC) is a measure which predicts the neck fat and hence narrowing of airway. Modified Berlin’s Questionnaire is a validated tool to assess the risk of OSA in Indian setting. The present study was designed to determine the association of NC with the risk of OSA in young adults. 1500 subjects of both genders between 18 to 30 years of age were recruited, their NC was measured and they were administered screening questionnaire first. Those who gave one or more positive response were administered modified Berlin questionnaire and risk of OSA was assessed and it was compared with NC. There was a significant increase in risk of OSA in subjects with higher NC with a cut off of 36 cm in males and 32 cm in females. NC is an important anthropometric measurement to predict risk of OSA.

Author(s): No authors found.
Abstract:

Background: The aim of the study is to evaluate effect of type 1 tympanoplasty on the quality of life of CSOM patients.
Materials and Methods: In this observational study, ninety- two patients of chronic suppurative otitis media with perforations of either genders were included. The chronic otitis media-5 (COM-5) questionnaire was administered to all patients. Air bone gap, physical suffering scores, hearing loss score, caregiver’s concern scores, emotional distress score and activity limitation scores were recorded.
Results: Side involved was right in 58 and left in 34. Location of perforation was anterior quadrant in 15, posterior quadrant in 7 and central perforation in 70 cases. Pre- operative physical suffering scores was 3.74 and post- operative score was 2.10, hearing loss score was 3.24 and 1.28, caregiver’s concern scores was 2.34 and 1.12, emotional distress score was 1.92 and 1.04 and activity limitation scores was 1.62 and 1.10 respectively. Pre-op mean air bone gap was 32.2 db and post- op mean air bone gap was 18.4 db. The difference was 13.8 decibels.
Conclusion: Type 1 tympanoplasty is common surgical procedure performed in patients with chronic suppurative otitis media and it found to be effective in improving quality of life in these patients.

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