200,813 research outputs found

    Geometry of infinite dimensional Grassmannians and the Mickelsson–Rajeev cocycle

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    In their study of the representation theory of loop groups, Pressley and Segal introduced a determinant line bundle over an infinite dimensional Grassmann manifold. Mickelsson and Rajeev subsequently generalized the work of Pressley and Segal to obtain representations of the groups View the MathML source where M is an odd dimensional spin manifold. In the course of their work, Mickelsson and Rajeev introduced for any p≥1, an infinite dimensional Grassmannian View the MathML source and a determinant line bundle View the MathML source over it, generalizing the constructions of Pressley and Segal. The definition of the line bundle View the MathML source requires the notion of a regularized determinant for bounded operators. In this paper we specialize to the case when p=2 (which is relevant for the case when dimM=3) and consider the geometry of the determinant line bundle View the MathML source. We construct explicitly a connection on View the MathML source and give a simple formula for its curvature. From our results we obtain a geometric derivation of the Mickelsson–Rajeev cocycle

    Supplemental_material_Fig_S3 – Supplemental material for Survey of non-tunneled temporary hemodialysis catheter clinical practice and training

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    Supplemental material, Supplemental_material_Fig_S3 for Survey of non-tunneled temporary hemodialysis catheter clinical practice and training by Christina M Yuan, James D Oliver, Dustin J Little, Rajeev Narayan, Lisa K Prince, Rajeev Raghavan and Robert Nee in The Journal of Vascular Access</p

    Supplemental_material_S1 – Supplemental material for Survey of non-tunneled temporary hemodialysis catheter clinical practice and training

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    Supplemental material, Supplemental_material_S1 for Survey of non-tunneled temporary hemodialysis catheter clinical practice and training by Christina M Yuan, James D Oliver, Dustin J Little, Rajeev Narayan, Lisa K Prince, Rajeev Raghavan and Robert Nee in The Journal of Vascular Access</p

    Supplemental_material_S2 – Supplemental material for Survey of non-tunneled temporary hemodialysis catheter clinical practice and training

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    Supplemental material, Supplemental_material_S2 for Survey of non-tunneled temporary hemodialysis catheter clinical practice and training by Christina M Yuan, James D Oliver, Dustin J Little, Rajeev Narayan, Lisa K Prince, Rajeev Raghavan and Robert Nee in The Journal of Vascular Access</p

    Writing Self, Writing Empire

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    Writing Self, Writing Empire examines the life, career, and writings of the Mughal state secretary, or munshi, Chandar Bhan Brahman (d. ca. 1670), one of the great Indo-Persian poets and prose stylists of early modern South Asia. Chandar Bhan’s life spanned the reigns of four emperors: Akbar (1556–1605), Jahangir (1605–1627), Shah Jahan (1628–1658), and Aurangzeb ‘Alamgir (1658–1707), the last of the “Great Mughals” whose courts dominated the culture and politics of the subcontinent at the height of the empire’s power, territorial reach, and global influence. Chandar Bhan was a high-caste Hindu who worked for a series of Muslim monarchs and other officials, forming powerful friendships along the way; his experience bears vivid testimony to the pluralistic atmosphere of the Mughal court, particularly during the reign of Shah Jahan, the celebrated builder of the Taj Mahal. But his widely circulated and emulated works also touch on a range of topics central to our understanding of the court’s literary, mystical, administrative, and ethical cultures, while his letters and autobiographical writings provide tantalizing examples of early modern Indo-Persian modes of self-fashioning. Chandar Bhan’s oeuvre is a valuable window onto a crucial, though surprisingly neglected, period of Mughal cultural and political history. “Adds significant depth to our understanding of the intellectual and cultural atmosphere of the Mughal court at its height.” -RICHARD M. EATON, author of A Social History of the Deccan, 1300–1761 “The fullest study so far of the understudied phenomenon of Hindu writers of Persian. Through the prism of Chandar Bhan’s writings, Rajeev Kinra presents a holistic treatment of the cultural concerns of the Mughal empire’s Hindu ‘men of the pen.’” -NILE GREEN, author of Making Space: Sufis and Settlers in Early Modern India RAJEEV KINRA is Assistant Professor in the Department of History at Northwestern University

    WAFEC- An innovative web-based computer application for finite element analysis using direct stiffness method in JAVA™/J2EE™

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    This study aims at demonstrating the development and implementation of a web-based computer software, WAFEC (Web Application for Finite Element Calculations) created using JAVA, J2EE programming environment to solve finite element problems related to structural engineering by utilizing direct stiffness method approach. It is designed to perform modeling of the global stiffness matrix, and calculate deformation and forces for one-, two- and three-dimensional finite elements by overcoming limitations of existing software’s. Most of the existing finite element software’s are desktop applications and they require prior installation, basic understanding of the software before use, and are time consuming which makes it difficult to get an instant solution for the user. Obtaining stiffness matrix using this approach, is not only difficult but also not easily comprehensible, because the results obtained are not in a proper readable format. More ever most of the software’s are commercial software’s hat are more oriented towards industrial applications rather than academic usage. The major purpose of this paper is to develop a computer software to solve problems with infinite nodes and elements in a limited amount of time and to increase the flexibility of use with the help of internet. The robust code is designed to perform analytical calculations for elements in different complex connection structures. The architecture of software created is based on MVC framework which is formed by utilizing Java Server Pages to form user interface that helps to perform data entry, Servlet to perform stiffness calculation and MySQL to store the results. Application of proposed web-based software in solving practical problems is demonstrated by carrying on several case studies utilizing different finite elements and comparing it to a few other software’s based on student feedback

    Writing Self, Writing Empire

    No full text
    Writing Self, Writing Empire examines the life, career, and writings of the Mughal state secretary, or munshi, Chandar Bhan Brahman (d. ca. 1670), one of the great Indo-Persian poets and prose stylists of early modern South Asia. Chandar Bhan’s life spanned the reigns of four emperors: Akbar (1556–1605), Jahangir (1605–1627), Shah Jahan (1628–1658), and Aurangzeb ‘Alamgir (1658–1707), the last of the “Great Mughals” whose courts dominated the culture and politics of the subcontinent at the height of the empire’s power, territorial reach, and global influence. Chandar Bhan was a high-caste Hindu who worked for a series of Muslim monarchs and other officials, forming powerful friendships along the way; his experience bears vivid testimony to the pluralistic atmosphere of the Mughal court, particularly during the reign of Shah Jahan, the celebrated builder of the Taj Mahal. But his widely circulated and emulated works also touch on a range of topics central to our understanding of the court’s literary, mystical, administrative, and ethical cultures, while his letters and autobiographical writings provide tantalizing examples of early modern Indo-Persian modes of self-fashioning. Chandar Bhan’s oeuvre is a valuable window onto a crucial, though surprisingly neglected, period of Mughal cultural and political history. “Adds significant depth to our understanding of the intellectual and cultural atmosphere of the Mughal court at its height.” -RICHARD M. EATON, author of A Social History of the Deccan, 1300–1761 “The fullest study so far of the understudied phenomenon of Hindu writers of Persian. Through the prism of Chandar Bhan’s writings, Rajeev Kinra presents a holistic treatment of the cultural concerns of the Mughal empire’s Hindu ‘men of the pen.’” -NILE GREEN, author of Making Space: Sufis and Settlers in Early Modern India RAJEEV KINRA is Assistant Professor in the Department of History at Northwestern University

    Tableau Methods for Modal and Temporal Logics

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    This document is a complete draft of a chapter by Rajeev Gor&apos;e on &quot;Tableau Methods for Modal and Temporal Logics&quot; which is part of the &quot;Handbook of Tableau Methods&quot;, edited by M. D&apos;Agostino, D. Gabbay, R. Hahnle and J. Posegga, to be published in 1998 by Kluwer, Dordrecht. Any comments and corrections are highly welcome. Please email me at [email protected] The latest version of this document can be obtained via my WWW home page: http://arp.anu.edu.au/ Tableau Methods for Modal and Temporal Logics Rajeev Gor&apos;e Contents 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1 Syntax and Notational Conventions . . . . . . . . . . . . 3 2.2 Axiomatics of Modal Logics . . . . . . . . . . . . . . . . 4 2.3 Kripke Semantics For Modal Logics . . . . . . . . . . . . 5 2.4 Known Correspondence and Completeness Results . . . . 6 2.5 Logical Consequence . . . . . . . . . . . . . . . . . . . . 8 2...
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