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): Robin Stein Seedat1, Mohamed Al-Abri1
1Department of Anaesthesia, School of Public Health and Family Medicine, University of Cape Town, South Africa.
Abstract:

Aim: To evaluate anesthetic management in renal transplant patients. Methodology: Ninety- two renal transplant patients were part of the study. Parameters such as type of transplant, reason for chronic kidney disease, preoperative data, history of dialysis, preoperative anesthesia management, monitoring details and the outcome were recorded. Results: Chronic glomerulonephritis (CGN) in 28 (30.4%), chronic interstitial nephritis (CIN) in 20 (21.7%), polycystic kidney disease (PCKD) in 11 (11.9%), obstructive nephropathy (Ob. N) in 4 (4.3%), diabetic nephropathy (DN) in 8 (8.7%), hereditary nephropathy in 3 (3.2%), reflux nephropathy in 12 (13%) and membranoproliferative glomerulonephritis (MPGN) in 6 (6.5%). In 32 (35.6%) patients, isoflurane was inhalational agent and recovery time was 25.1 minute, in 40 (43.4%), desflurane was inhalational agent and recovery time was 22.7 minutes and in 20 (21.7%), sevoflurane was inhalational agent and recovery time was 32.1 minutes. A significant difference was observed (P< 0.05). Conclusion: Anesthesia management has made renal transplantation safe and predictable. Postoperative maintenance of renal transplant patients have contributed to the success of renal transplant programme.

Author(s): Abraha Samuel1, Ambaw Deressa1, Hesham Greda1
1Department of Orthopaedics & Physical Rehabilitation, Faculty of Medicine, University of Addis Abha, Ethiopia.
Abstract:

Aim: To compare tension band wire and circumferential wiring for patellar fractures. Materials & Methods: One hundred twenty adult patients in age ranged 18- 50 years of either gender was randomly divided into groups viz. group 1 treated with tension band wire and group 2 with circumferential wiring for patellar fractures. Reich and Rosenberg scale, rage of motion and complications were recorded in both groups and compared. Results: At 4 weeks in group 1 and group 2, restriction of last \(10^{0}- 20^{0}\) was seen in 24 and 27, restriction of \(20^0-50^0\) was seen in 14 and 13, restriction \(>50^0\) was observed in 22 and 20. At 8 weeks, no restriction was seen in 8 and 9, restriction of last \(10^0- 20^0\) was seen in 38 and 39, restriction of \(20^0-50^0\) was seen in 10 and 9, restriction >500 was seen in 4 and 3. At 12 weeks, no restriction was seen in 15 and 20, restriction of last \(10^0- 20^0\) was seen in 35 and 32, restriction of \(20^0-50^0\) was seen in 8 and 7 and restriction \(>50^0\) was seen in 2 and 1 in group 1 and 2 patients respectively. A significant difference was observed (P< 0.05). Conclusion: Both techniques for the management of patellar fractures were equally effective in achieving functional outcome.

Author(s): Raj Srivastava1, Arjun Kapoor1, Sachin Mehta1, Amit Chauhan1
1Department of Pharmacology, Rajendra Institute of Medical Sciences & Research Centre, Gangtok, Sikkim, India.
Abstract:

This paper aims to compare 0.1% topical triamcinolone acetonide, oral methotrexate, and a combination of 0.1% topical triamcinolone acetonide and oral methotrexate in the management of oral lichen planus. 60 histologically confirmed cases of oral lichen planus were divided into 3 groups. Group T was given 0.1% topical triamcinolone acetonide, group M was given topical methotrexate and group C was given combination of both 0.1% topical triamcinolone acetonide and oral methotrexate. Clinical severity score and VAS was compared. The mean CSS at baseline was 5.4 in group T, 4.2 in group M and 4.1 in group C and at 4 months was 2.6 in group T, 2.1 in group M and 0.82 in group C. Baseline VAS was 6.5 in group T, 6.2 in group M and 7.1 in group C and at 4 months was 2.5 in group T, 1.3 in group M and 0.25 in group C. Group T had 3.2 years, group M had 3.1 years and group C had 3.3 years of duration of symptoms. It is concluded that the combination of triamcinolone and methotrexate exhibited maximum relieve of symptoms in patients with oral lichen planus.

Author(s): Curtis Holliman1, Logan Hyslop1
1Department of Mathematics, The Catholic University of America, Washington, DC 20064, USA
Abstract:

The Cauchy problem for a higher order modification of the nonlinear Schrödinger equation (MNLS) on the line is shown to be well-posed in Sobolev spaces with exponent \(s > \frac{1}{4}\). This result is achieved by demonstrating that the associated integral operator is a contraction on a Bourgain space that has been adapted to the particular linear symbol present in the equation. The contraction is proved by using microlocal analysis and a trilinear estimate that is shown via the \([k; Z]\)-multiplier norm method developed by Terence Tao.

Author(s): W. L. Otae1, N. B. Okelo1, O. Ongati1
1Department of Pure and Applied Mathematics, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya
Abstract:

In this paper, we give characterizations of orthogonality conditions in certain classes of normed spaces. We first consider Range-Kernel orthogonality in norm-attainable classes then we characterize orthogonality conditions for Jordan elementary operators.

Author(s): Christophe Chesneau1
1Université de Caen Normandie, LMNO, Campus II, Science 3, 14032, Caen, France
Abstract:

Copulas played a key role in numerous areas of statistics over the last few decades. In this paper, we offer a new kind of trigonometric bivariate copula based on power and cosine functions. We present it via analytical and graphical approaches. We show that it may be used to create a new bivariate normal distribution with interesting shapes. Subsequently, the simplest version of the suggested copula is highlighted. We discuss some of its relationships with the Farlie-Gumbel-Morgensten and simple polynomial-sine copulas, establish that it is a member of a well-known semi-parametric family of copulas, investigate its dependence domains, and show that it has no tail dependence.

Author(s): Marwan Al-Raeei1
1Faculty of Sciences, Damascus University, Damascus, Syrian Arab Republic
Abstract:

We estimate the incubation period values and other forecasting predictors of SARS-CoV-2 for different countries located in different geographical locations of the earth and each one has a certain climate. The considered countries are the United States, Russia, the United Kingdom, Brazil, Spain, Bahrain, Egypt, Iran, Cyprus, India, France, and the Syrian Arab Republic. For estimating of the forecasting predictors values, we use the SEIR epidemic model and Runge-Kutta simulation method. The estimations are done up to the beginning of 2021 in aforementioned countries based on the collected data in these countries. We find that the incubation period values of SARS-CoV-2 are located between 2.5 days which returns to Bahrain and 10 days which returns to some countries in middle east. Also, we find that the average value of this period is about 6.5 days for the different location countries. Besides, we find that the average values of SARS-CoV-2 critical immunisation threshold, SARS-CoV-2 basic reproduction number and SARS-CoV-2 steady state population are 0.5, 2.3 and 0.5 respectively.

Author(s): M. Palanikumar1, K. Arulmozhi1
1Department of Mathematics, Annamalai University, India
Abstract:

We interact the theory of possibility Pythagorean bipolar fuzzy soft sets, possibility bipolar fuzzy soft sets and define complementation, union, intersection, AND and OR. The possibility Pythagorean bipolar fuzzy soft sets are presented as a generalization of soft sets. Notably, we tend to showed De Morgan’s laws, associate laws and distributive laws that are holds in possibility Pythagorean bipolar fuzzy soft set theory. Also, we advocate an algorithm to solve the decision making problem primarily based on soft set model.

Author(s): Ivan Gutman1, Veerabhadrappa R. Kulli2
1Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia
2Department of Mathematics, Gulbarga University, Kalaburgi 585 106, India
Abstract:

A novel vertex-degree-based topological invariant, called Nirmala index, was recently put forward, defined as the sum of the terms \(\sqrt{d(u)+d(v)}\) over all edges \(uv\) of the underlying graph, where \(d(u)\) is the degree of the vertex \(u\). Based on this index, we now introduce the respective “Nirmala matrix”, and consider its spectrum and energy. An interesting finding is that some spectral properties of the Nirmala matrix, including its energy, are related to the first Zagreb index.

Author(s): Ahmed Ali Al-Gonah1, Ahmed Ali Atash2
1Department of Mathematics, Faculty of Science, Aden University, Aden, Yemen
2Department of Mathematics, Faculty of Education Shabwah, Aden University, Aden, Yemen
Abstract:

Recently, many extensions of some special functions are defined by using the extended Beta function. In this paper, we introduce a new generalization of extended Gegenbauer polynomials of two variables by using the extended Gamma function. Some properties of these generalized polynomials such as integral representation, recurrence relation and generating functions are obtained.

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