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.

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.

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.

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.

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.

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.

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.

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.

The novel corona virus (COVID-19) outbreak declared as a global pandemic. Glucocorticoids are inexpensive, widely available, and have been shown to reduce mortality in hypoxemic patients with COVID-19. With increasing risk of new strains of covid virus infections and now the latest dreadful fungal infection Mucormycosis, the situation is becoming more and more devastating. Survival in mucormycosis depends on early diagnosis, alleviation of basic predisposing factors, aggressive debridement of necrotic tissues, and appropriate systemic antifungal agents.

Our main goal is to compare effect of ondansetron and ramosetron in attenuation of propofol-induced pain during induction of anaesthesia. A total of sixty subjects with American Society of Anesthesiologists (ASA) physical status (PS) 1 and 2, age ranging 18-60 years scheduled for various elective surgical procedures under general anaesthesia were included and were randomly divided into 2 groups. Group 1 received 4 mg of ondansetron and Group II received 0.3 mg of ramosetron. Mean age of patients in group 1 was 36.2 years and in group 2 was 36.0 years. There were 16 males and 14 females in group 1 and 17 males and 13 females in group 2. ASA grade I was seen in 20 in group 1 and 24 in group 2 and ASA grade II was seen in 10 in group 1 and 6 in group 2. A non- significant difference between both groups was seen (P> 0.05). Pain score 0 was observed in 14 in group 1 and 20 in group 2, score 1 in 9 in group 1 and 6 in group 2, score 2 in 4 in group 1 and 3 in group 2 and score 3 seen in 3 in group 1 and 1 in group 2. A significant difference between both groups was seen (P< 0.05). Ramosetron alone can be used to reduce the propofol-induced pain. Pre-treatment with IV ramosetron found to be effective as compared to ondansetron in preventing propofol-induced pain.