646 research outputs found
Computations in Symmetric Fusion Categories in Characteristic
No full textWe study properties of symmetric fusion categories in characteristic p. In particular, we introduce the notion of a super Frobenius-Perron dimension of an object X of such a category and derive an explicit formula for the Verlinde fiber functor F(X) of X (defined by the 2nd author) in terms of the usual and super Frobenius-Perron dimensions of X. We also compute the decomposition of symmetric powers of objects of the Verlinde category, generalizing a classical formula of Cayley and Sylvester for invariants of binary forms. Finally, we show that the Verlinde fiber functor is unique and classify braided fusion categories of rank 2 and triangular semisimple Hopf algebras in any characteristic
A Critical Study of the Autobiographical Elements in the Fictional Works of R. K. Narayan
No full textNot availabl
Investigating the source – pathway – receptor – consequence framework for coastal flood system analyses
No full textSeparable Spatio-Temporal Models of Functional Connectivity
No full textPresented at the symposium on Critical Perspectives on Time Varying Models for BOLD Functional Connectivity at OHBM 2018Citation: Narayan, Manjari (2018): Separable Spatio-Temporal Models of Functional Connectivity. doi:10.6084/m9.figshare.6619256@article{Narayan-OHBM2018,author = "Manjari Narayan",title = "{Separable Spatio-Temporal Models of Functional Connectivity}",year = "2018",month = "6",url = "https://figshare.com/articles/Separable_Spatio-Temporal_Models_of_Functional_Connectivity/6619256",doi = "10.6084/m9.figshare.6619256"}Contact: [email protected]</div
Algebraic geometry and representation theory in the Verlinde category
No full textThesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019Cataloged from PDF version of thesis.Includes bibliographical references (pages 157-158).This thesis studies algebraic geometry and the representation theory of group schemes in the setting of symmetric tensor categories over algebraically closed fields of positive characteristic. A specific focus is paid to the Verlinde category, a symmetric fusion category in characteristic p that serves as a universal base for all such categories. Symmetric tensor categories provide a natural setting in which it makes sense to discuss the notion of a commutative, associative unital algebra. In the first third of the thesis, we prove some fundamental facts about these algebras, showing that, in the Verlinde category and any category built out of it, finitely generated algebras are Noetherian, have finitely generated invariants and are finite as a module over their invariants. Subsequently, we use this result to extend some fundamental properties of commutative algebras from the original setting of vector spaces to the more general setting of symmetric tensor categories.The middle portion of the thesis focuses on some other applications of commutative algebra in the Verlinde category to elaborate on some work of Ostrik and to obtain important combinatorial decomposition formulas. This is a presentation of joint work by the author with Etingof and Ostrik. Symmetric tensor categories also provide a natural setting in which to discuss affine group schemes and their representations, namely the commutative Hopf algebras and their comodules. The last part of this thesis focuses on the structure and representation theory of affine group schemes of finite type in the Verlinde category. Using some of the basic commutative algebra properties proved in the thesis, we extend some results of Masuoka from the setting of super vector spaces in positive characteristic to that of the Verlinde category.In particular, we define the notion of a Harish-Chandra pair and show that the category of affine group schemes and their representations in the Verlinde category is equivalent to the category of Harish-Chandra pairs and their representations in the Verlinde category.by Siddharth Venkatesh.Ph. D.Ph.D. Massachusetts Institute of Technology, Department of Mathematic
Exploring humor in situations and characters: an analysis of r.k. Narayan\u27s selected works
No full textThis paper delves into the nuanced expression of humor within both situations and characters in the select works of R.K. Narayan, a renowned Indian author celebrated for his wit and keen observations of everyday life. Through a comprehensive analysis of Narayan\u27s selected works, this study aims to uncover the multifaceted layers of humor present in his narratives. By examining the intricate interplay between situational comedy and the portrayal of diverse characters, ranging from ordinary individuals to eccentric personalities, this analysis seeks to elucidate how Narayan masterfully employs humor to both entertain and offer incisive commentary on the human condition. Furthermore, through close examination of specific literary techniques, such as irony, satire, and absurdity, this paper seeks to highlight the enduring relevance and universal appeal of Narayan\u27s comedic genius. Ultimately, this exploration not only contributes to a deeper understanding of Narayan\u27s literary craftsmanship but also underscores the significance of humor as a potent tool for storytelling and social critique
Familial Crisis in the Novels of R. K. Narayan
No full textR. K. Narayan is an award winning author of more than a dozen novels and short stories, instead of these, he is popularly known for his Malgudi Days. He was born on 10th Oct. 1906 in Madras British India (now Chennai Tamil Nadu, India). His full name was Rasipuram Krishnaswami Iyer Narayanswami. The life of R.K Narayan is reflected in all his works. The life of middle-class Indian society is the focus of his most of the novels, and each main character goes through a crisis and transformation of some sort, maybe it is an identity or spiritual one. It is important to note that R. K. Narayan wrote solely on his own experiences as a middle-class Brahmin of the fairly high caste-a privileged position that was not the norm of India
A Rare Case of Meningitis: Can Cellulosimicrobium cellulans Cause Meningitis in a Non-immunocompromised Person?
No full text© Copyright 2024 Narayan et al. This is an open access article distributed under the terms of the Creative Commons Attribution License CC BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.Infections with Gram-positive soil-dwelling bacterium are sporadic. Rarely, do patients with indwelling medical devices or those who suffer from immunosuppression get infected by this pathogen. However, based on routine clinical and laboratory procedures, it is hard to distinguish between the meningitis caused by and that from other bacteria. Here, we report a unique case of infection in a 37-year-old immunocompetent man presenting with meningitis associated with encephalopathy and headache. He presented with severe headaches, altered sensorium, reduced sleep, photophobia, and restlessness, with a feeling of impending doom, but with no neck rigidity and fever. Trans-axial T1 and T2/FLAIR head MRI showed diffused cerebral edema, with bilateral high frontoparietal sulcal enhancement, hyperintensity along the right posterior insula-temporal region, and left parietal deep white matter. Lumbar puncture CSF examination indicated bacterial meningitis, and was identified on culture. The patient was administered intravenous ceftriaxone for seven days and dexamethasone for three days. A follow-up lumbar puncture CSF examination showed no signs of the pathogen, indicating its eradication. To our knowledge, this is the first case of causing meningitis in an otherwise healthy man with no history of indwelling medical devices or immunosuppression. This rare case of meningitis suggests that can infect healthy humans and cause meningitis
Other-languagedness in Stories by R.K. Narayan, Saadat Hassan Manto, and Ruth Prawer Jhabvala
No full textIn her article Other-languagedness in Stories by R.K. Narayan, Saadat Hassan Manto, and Ruth Prawer Jhabvala Biljana Djorić Francuski examines, within a comparative framework, the concepts of otherness and other-languagedness as expressed in three short stories by authors from separate but interconnected cultures: an Indian English writer, Rasipuram Krishnaswamy Narayan; a Pakistani writer, Saadat Hassan Manto; and a writer of European origins who lived in and wrote about India, Ruth Prawer Jhabvala. The author analyzes, within the context of the (post)colonial discourse, the instances of misunderstanding resulting from binary oppositions between the interlocutors, due to their mutual otherness
Three-Dimensional Collagen Membranes Challenging the Gold Standard in Gingival Recession
No full textGingival recession is a commonly encountered chief complaint in a dental office, most commonly presenting as pain or sensitivity on intake of food or sometimes just seen as an esthetic concern which may present in a localized or generalized form. Such interest toward dental esthetics has encouraged clinicians to formulate newer minimally invasive surgical techniques which are short but still deliver predictable long-term benefits in restoring the patient's smile. One such method was evaluated in the present short communication where a commercially available, biodegradable, and volume-stable collagen membrane was used to manage gingival recession instead of donor grafts. The clinical parameters which were assessed after a period of 9 months demonstrated an increased width of attached gingiva and overall tissue thickness after surgical intervention. These findings along with successful mean root coverage of the upper left canine would seem to challenge the results obtained while using similar procedures and donor grafts, the age-old gold standard bio-filler. The dawn of esthetic dentistry is here with more emphasis on how physical appearance bolsters confidence and morale among younger individuals. Among the various complaints concerned with patient's esthetic, periodontal plastic surgery is one of the more challenging procedures. The real obstacle while performing such procedures is achieving complete or partial root coverage over an avascular bed, whereas multiple variables seem to affect the overall clinical outcome
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