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): Masato Kobayashi1
1 Department of Engineering, Kanagawa University, 3-27-1 Rokkaku-bashi, Yokohama 221-8686, Japan.
Abstract:

We show new integral representations for dilogarithm and trilogarithm functions on the unit interval. As a consequence, we also prove (1) new integral representations for Apéry, Catalan constants and Legendre \(\chi\) functions of order 2, 3, (2) a lower bound for the dilogarithm function on the unit interval, (3) new Euler sums.

Author(s): Tristram de Piro 1
1Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter (550), Woodstock Road, Oxford, OX2 6GG, England.
Abstract:

We clarify some arguments concerning Jefimenko’s equations, as a way of constructing solutions to Maxwell’s equations, for charge and current satisfying the continuity equation. We then isolate a condition on non-radiation in all inertial frames, which is intuitively reasonable for the stability of an atomic system, and prove that the condition is equivalent to the charge and current satisfying certain relations, including the wave equations. Finally, we prove that with these relations, the energy in the electromagnetic field is quantised and displays the properties of the Balmer series.

Author(s): M. Alam1, R. U. Khan1, Z. Vidović2
1Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh-202 002, India.
2Teacher Education Faculty, Belgrade 11000, Serbia.
Abstract:

In this paper, we derive the explicit expressions for single and product moments of generalized order statistics from Pareto-Rayleigh distribution using hypergeometric functions. Also, some interesting remarks are presented.

Author(s): Christopher I. Argyros1, Michael Argyros1, Ioannis K. Argyros2, Santhosh George3
1Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA.
2Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
3Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-575 025.
Abstract:

Local convergence of a family of sixth order methods for solving Banach space valued equations is considered in this article. The local convergence analysis is provided using only the first derivative in contrast to earlier works on the real line using the seventh derivative. This way the applicability is expanded for these methods. Numerical examples complete the article.

Author(s): I. Silambarasan1
1Department of Mathematics, Sri Manakula Vinayagar Engineering College, Madagadipet, Puducherry-605107, India.
Abstract:

In this paper, we define some new operators \([(A \$ B),(A \# B),(A\ast B),(A \rightarrow B) ]\) of Fermatean fuzzy matrices and investigate their algebraic properties. Further, the necessity and possibility operators of Fermatean fuzzy matrices are proved. Finally, we have identified and proved several of these properties, particularly those involving the operator \(A\rightarrow B\) defined as Fermatean fuzzy implication with other operators.

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

In this paper, by using \(S\)-norms, we defined anti fuzzy subgroups and anti fuzzy normal subgroups which are new notions and considered their fundamental properties and also made an attempt to study the characterizations of them. Next we investigated image and pre image of them under group homomorphisms. Finally, we introduced the direct sum of them and proved that direct sum of any family of them is also anti fuzzy subgroups and anti fuzzy normal subgroups under \(S\)-norms, respectively.

Author(s): Saad Ihsan Butt1, Muhammad Tariq1, Muhammad Nadeem1
1Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan.
Abstract:

In this paper, we introduce the concept of a new family of convex functions namely \(n\)-polynomial generalized convex functions of Raina type. We investigate the algebraic properties of a newly introduced idea and discuss their connections with convex functions. Furthermore, we establish the new version of Hermite–Hadamard and some refinements of Hermite-Hadamard type inequalities this class of functions. Finally, we investigate some applications to special means of real numbers. Results obtained in this paper can be viewed as a significant improvement of previously known results and also may stimulate and energize for further activities in this research area field.

Author(s): Ahmed Mahmood1, Muhammad Qasim2, Muhammad Faisal Khan3
1Pak Datacom Limited, Lahore, Pakistan.
2Department of Electrical Engineering, University of Sialkot, Sialkot, Pakistan.
3Department of Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China.
Abstract:

Renewable energy systems (RESs) have an inherent quality of achieving independence Vis a Vis useful energy harnessing for self or localized use. At larger scale the renewable energy system allows the power generation and distribution without a significant harm to the environment. Propagation and proliferation of RESs and the Renewable Energy Technology (RET), collectively demand an effective policy making infrastructure to be in place to ensure their penetration locally and globally. Renewable Energy Policies have a great impact on how readily these systems are adopted by the investors and market, how efficient these systems are which is dependent on the research and development (R&D) of RESs, how effectively the country or region copes with the scourge of environmental harm with the use of RESs. Renewable Energy Policies also have an impact on how costly these technologies are and how these technologies fiscally benefit common man, investors and industries. Efficiency enhancement, stability and intelligent management of grids integrated with RES are also renewable policy dependent. This paper thoroughly and critically examines the importance of renewable energy policy. not just at domestic or national level but also at global level. It discusses in detail the core ingredients of renewable energy policy which were adopted in the past, which are being adopted now and which should be adopted in future. This paper also discusses policy, business and financial models; importance of tariff formulation, incentives and subsidies and a few factors which may pose a risk to the development and adoption of RESs. At the end a few suggestions have also been made which, if adopted, would help promote the RESs proliferation across the globe at a rapid pace and would ensure energy security, sustainable development and environmental conservation.

Author(s): Tanish Maheshwari1, Tarpara Nisarg Bhaveshbhai1, Mitali Halder1
1Presidency University, Bengaluru, Karnataka, India.
Abstract:

The number of songs are increasing at a very high rate around the globe. Out of the songs released every year, only the top few songs make it to the billboard hit charts .The lyrics of the songs place an important role in making them big hits combined with various other factors like loudness, liveness, speech ness, pop, etc. The artists are faced with the problem of finding the most desired topics to create song lyrics on. This problem is further amplified in selecting the most unique, catchy words which if added, could create more powerful lyrics for the songs. We propose a solution of finding the bag of unique evergreen words using the term frequency-inverse document frequency (TF-IDF) technique of natural language processing. The words from this bag of unique evergreen words could be added in the lyrics of the songs to create more powerful lyrics in the future.

Author(s): Ruchi Tantia1, Ruchi Gupta2
1Department of Pharmacology, RNT Medical College, Udaipur, Rajasthan, India.
2Consultant, Neuroderma Clinic, Dermatology Wing, Aligarh, India.
Abstract:

Our aim in this research note is to compare curcumin and clobetasol propionate in management of patients with oral lichen planus. Sixty- four patients of OLP were divided where 32 patients were put in group I in which patients received 0.1% triamcinolone and in group 2, 32 patients received 5% curcumin paste for 4 weeks. Measurement of the appearance score and severity of pain was done at baseline and at the end of 2 and 4 weeks. We found that complete remission in pain was seen in 30% in group 1 and 35% in group 2, good response in 28% in group 1 and 17% in group 2, poor response in 24% in group 1 and 25% in group 2 and no response in 18% in group 1 and 33% in group 2. A non- significant difference among good and no response was seen (P<0.05). Oral lichen planus is common inflammatory autoimmune disease. Curcumin in our study showed slightly better results than triamcinolone, hence suggesting that it can be used in patients with oral lichen planus.

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