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.
The strategic value of the Navy’s submarine capabilities is greatly influenced by the ability of its supporting infrastructure to be able to maintain the confidentiality of submarine operations. Based on these conditions, this study aims to identify and analyze the operational readiness of submarines to increase the deterrence of the state defense system at sea. This study uses Interpretive Structural Modeling (ISM) and MIC-MAC diagrams. The ISM method is used to analyze the effect on the criteria. MICMAC diagrams are used as criteria for determining the related variables. Based on the results of the ISM and MICMAC diagram analysis, it was found that fifteen elements were divided into \(4\) (four) quadrants. Quadrant I (Autonomous) consists of six elements, such as \((C_1)\), \((C_2)\), \((C_3)\), \((C_4)\), \((C_{13)}\), \((C_{15})\). Quadrant II (Dependent) consists of six elements, such as \((C_5)\), \((C_6)\), \((C_7)\), \((C_{11})\), \((C_{12})\), \((C_{14})\). Quadrant IV (Independent) consists of three elements, such as \((C_8)\), \((C_9)\), \((C_{10})\). This research is expected to provide benefits to both academics and practitioners in the field of submarines and defense strategy.
The aim of this paper is to introduce strongest relation, cosets and middle cosets of anti \(Q\)-fuzzy subgroups of \(G\) with respect to \(t\)-conorm \(C.\) We investigate equivalent characterizations of them and we construct a new group induced by them, and give the homomorphism theorem between them.
