Rees matrix seminearring

As a continuation of the work done in (R. Mukherjee (Pal), P. Pal and S. K. Sardar, On additively completely regular seminearrings, Commun. Algebra 45(12) (2017) 5111–5122), in this paper, our objective is to characterize left (right) completely simple seminearrings in terms of Rees Construction by generalizing the concept of Rees matrix semigroup (J. M. Howie, Fundamentals of Semigroup Theory (Clarendon Press, Oxford, 1995); M. Petrich and N. R. Reilly, Completely Regular Semigroups (Wiley, New York, 1999)) and that of Rees matrix semiring (M. K. Sen, S. K. Maity and H. J. Weinert, Completely simple semirings, Bull. Calcutta Math. Soc. 97 (2005) 163–172). In Rees theorem, a completely simple semigroup is coordinatized in such a way that each element can be seen to be a triplet which gives this abstract structure a much more simpler look. In this paper, we have been able to construct a similar kind of coordinate structure of a restricted class of left (right) completely simple seminearrings taking impetus from (M. P. Grillet, Semirings with a completely simple additive semigroup, J. Austral. Math. Soc. 20(Ser. A) (1975) 257–267, Theorem [Formula: see text] and (M. K. Sen, S. K. Maity and H. J. Weinert, Completely simple semirings, Bull. Calcutta Math. Soc. 97 (2005) 163–172, Theorem [Formula: see text]).

Impact of Sectoral Decompositions of Electricity Consumption On Economic Growth In India: Evidence From SVAR Framework

This study examine the effects of electricity consumption from different sectors such as agricultural, commercial, domestic, Industrial (HV), Industrial (LV-MV) and Miscellaneous sector on economic growth over the period of 1981-2019 in case of India. We used SVAR framework and concluded that the consumption of electricity from agriculture sector has a negative impact on economic growth. Whereas, the Industrial (HV and MV-LV) and commercial electricity consumption have positive impact on economic growth. Similarly, electricity consumption by the domestic sector has less positive effect on economic growth. Further, we computed the total factor productivity growth (TFP) by using DEA method and show the effects of sector wise electricity consumption on TFP as the robustness of our analysis. We obtain similar kind of results. From the policy perceptive, the study suggests that government must speed up the construction of a power grid to improve the availability of electricity for achieving higher rate of economic growth.

COVID-19 Vaccination Status amongst College Students and Staff during Offline Classes

Aim: To understand the status of COVID-19 vaccination amongst students and staff during offline classes. Study Design: Questionnaire with open ended questions was sent to participants through social media. Place and Duration of Study: The present study was conducted in Bhavan’s Vivekananda College of Science, Humanities and Commerce, Sainikpuri, Secunderabad from 12th-15th September, 2021. Methodology: Questionnaire was sent to all staff members, second and third year students of undergraduate and first year students of post graduate programmes who were attending classes during the study period. Total 1263 responses were received out of approximately 2500 students. Results: The survey results have shown that 1128 participants (89.3%) out of 1263 have received vaccination and out of them, 742 participants (65.78%) have received single dose of vaccine and 386 (34.22%) participants have received two doses. Majority of them have received Covishield (74.5%), followed by Covaxin (24.11%). Conclusion: The present study necessitates all educational institutions to conduct similar kind of studies to understand the current status of vaccination and safety measures taken by students and staff during Covid-19 pandemic during offline classes. This will help to keep the campuses safe and prevent further spread of infection to avoid third wave of corona virus.

The Empathic Communication Analytical Framework (ECAF): A multimodal perspective on emotional communication in interpreter-mediated consultations

Empathic communication (EC) in healthcare occurs when patients express empathic opportunities, such as emotions, to which doctors respond empathically. This interactional process during which participants try to achieve specific communicative goals (e.g., seeking and displaying empathy) serves as a context in which doctors and patients perform verbal and nonverbal actions and collaboratively co-construct meaning. This applies to interpreter-mediated consultations (IMCs) too, where interpreters perform additional actions of a similar kind. However, there is a dearth of research on the ways in which participants perform these actions in the context of EC, and how these actions in turn help (re)shape the context of EC in IMCs (Theys et al., 2020). To date, any tools for studying EC investigate participants’ actions in isolation, without studying them in the context of EC or in relation to the participants’ awareness of their own and others’ ongoing interactions. In this article, we present the Empathic Communication Analytical Framework (ECAF). The tool draws on valid, complementary analytical tools that allow for a fine-grained, three-level multimodal analysis of interactions. The first level of analysis allows for instances of EC in spoken language IMCs to be identified and for participants’ verbal actions in the context of EC to be studied. The second level allows analysts to investigate participants’ verbal and nonverbal actions in the previously identified context of EC. The third level of analysis links the participants’ concurrent verbal and nonverbal (inter)actions to their levels of attention and awareness and shows how participants’ actions are shaped and in turn help to reshape the context of EC in IMCs. In this article, we present the various levels of the ECAF framework, discuss its application to real-life data, and adopt a critical stance towards its affordances and limitations by looking into one excerpt of EC in IMCs. It is shown that the three distinct yet interconnected levels of analysis in the ECAF framework allow participants’ concurrent multimodal interactions in the context of EC to be studied.

Multivariate Fractal Functions in Some Complete Function Spaces and Fractional Integral of Continuous Fractal Functions

There has been a considerable evolution of the theory of fractal interpolation function (FIF) over the last three decades. Recently, we introduced a multivariate analogue of a special class of FIFs, which is referred to as α-fractal functions, from the viewpoint of approximation theory. In the current note, we continue our study on multivariate α-fractal functions, but in the context of a few complete function spaces. For a class of fractal functions defined on a hyperrectangle Ω in the Euclidean space Rn, we derive conditions on the defining parameters so that the fractal functions are elements of some standard function spaces such as the Lebesgue spaces Lp(Ω), Sobolev spaces Wm,p(Ω), and Hölder spaces Cm,σ(Ω), which are Banach spaces. As a simple consequence, for some special choices of the parameters, we provide bounds for the Hausdorff dimension of the graph of the corresponding multivariate α-fractal function. We shall also hint at an associated notion of fractal operator that maps each multivariate function in one of these function spaces to its fractal counterpart. The latter part of this note establishes that the Riemann–Liouville fractional integral of a continuous multivariate α-fractal function is a fractal function of similar kind.

About cystic stretching of the Highmor's cavity

The existence of cystic stretching of the frontal and sphenoid sinuses, as well as the labyrinth of the ethmoid bone, is beyond any doubt - a similar kind of disease has been described at different times by many authors.

Isolated Plexiform Neurofibroma of the Nasal Tip - A Rare Case Report

A 28-year-old female patient presented at ENT OPD with complaints of a slowly growing mass over nasal tip since last 5 years. There were no complaints of pain, nasal obstruction, or epistaxis. There were no skin changes or ulceration over the swelling and sensation was preserved. There was no history of similar kind of swelling in other parts of the body. History of trauma or any form of surgical intervention were excluded. Family history was insignificant. The swelling did not respond to any medications. The patient attended for cosmetic reason solely. Clinical examination showed a soft non-tender 4 cm by 4 cm mass over nasal tip and supratip area. Mobility of the mass was restricted and fixed to the alar cartilages. There was no evidence of café au lait spots or any other skin lesions. Anterior rhinoscopy was unremarkable. Diagnostic nasal endoscopy was also performed but no abnormality was detected. CT scan showed non-specific infiltrative subcutaneous lesions. T1W MRI showed an ill-defined hypodense mass over the nasal tip which was abutting the alar cartilages which showed mild enhancement with contrast (figure 1). T2W MRI showed hyperintense and or hypodense central focus (target sign). FNAC was done and report was suggestive of neurogenic tumour, most probably neurofibroma.

Epistemic injustice, children and mental illness

The concept of epistemic (specifically testimonial) injustice is the latest philosophical tool with which to try to theorise what goes wrong when mental health service users are not listened to by clinicians, and what goes right when they are. Is the tool adequate to the task? It is argued that, to be applicable at all, the concept needs some adjustment so that being disbelieved as a result of prejudice is one of a family of alternative necessary conditions for its application, rather than a necessary condition all on its own. It is then argued that even once adjusted in this way, the concept does not fit well in the area where the biggest efforts have been made to apply it so far, namely the highly sensitive case of adult patients suffering from delusions. Indeed it does not serve the interests of service users struggling for recognition to try to apply it in this context, because there is so much more to being listened to than simply being believed. However, the concept is found to apply smoothly in many cases where the service users are children, for example, in relation to children’s testimony on the efficacy of treatment. It is suggested that further research would demonstrate the usefulness of the concept in adult cases of a similar kind.

Behind Clubhouse’s Trajectory and Phenom

Clubhouse is an auditory app that allows users to host various rooms surrounding a diverse range of topics from Artificial Intelligence to Philosophy. Along with its educational and serene approach, it is known for its popularity amongst celebrities, including Elon Musk, Mark Zuckerburg, CEO of Shopify, and its elusive invite and ios-only pass into gaining access into Clubhouse. Waiting lists are available in the case of not achieving an invite, but to further speed the process, various sellers on eBay, Reddit, Twitter, etc., charging invites from $10-$200. This research paper covers the phenomenon of Clubhouse and the emergence of audio-only rooms, along with a hypothesis of why Clubhouse and other apps of a similar kind are experiencing a harsh downfall despite its seemingly successful business model.

Comparative Creoles: Race, Identity, and Difference Between Louisiana and its Caribbean Counterparts

This essay places Louisiana Creole culture and identity into comparative perspective with the evolution of Creole identity and créolité in Haiti and the French Antilles. While Haitian and Antillean intellectuals wrestled at the crossroads of French and African culture over the course of the twentieth century, the leading intellectuals of Louisiana’s Creole society were more likely to embrace French language and culture than to work self-consciously to integrate African influences into their understanding of themselves. A similar kind of cultural reckoning did not occur among Louisiana Creole writers and intellectuals until late in the twentieth century. The essay uses a comparative approach to examine the factors that have led to Louisiana taking such a different approach to Creole identity and cultural expression and considers how the community may evolve in the years to come. Cet essai situe la culture et l’identité créoles louisianaises dans une perspective comparée avec l’évolution de l’identité créole et de la créolité en Haïti et aux Antilles françaises. Lorsque des intellectuels haïtiens et antillais travaillaient au carrefour des cultures française et africaine au parcours du vingtième siècle, les intellectuels du chef de file de la société créole de la Louisiane tendaient plus à engager la langue et la culture françaises que de chercher à intégrer consciemment les influences africaines dans leur conception identitaire. Ce n’est que plus tard dans le vingtième siècle que nous témoignons d’une reconnaissance culturelle similaire chez les écrivains et les intellectuels de la Louisiane créole. Cet essai aborde de manière comparée les éléments qui contribuaient à une approche si différente à l’identité et l’expression culturelle créoles en Louisiane et considère comment la communauté pourraient évoluer à l’avenir.