114,739 research outputs found

    Tannakian Krull-Schmidt reduction

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    In this continuation of [V. Balaji, I. Biswas, and D. S. Nagaraj, Krull-Schmidt reduction for principal bundles, J. reine angew. Math. 578 (2005), 225-234.] we show that the theory of Tannakian categories gives a very transparent construction of the reduction of structure group, obtained in [V. Balaji, I. Biswas, and D. S. Nagaraj, Krull-Schmidt reduction for principal bundles, J. reine angew. Math. 578 (2005), 225-234.], of principal bundles. In fact, a more general construction which is valid for all algebraically closed fields is given

    Connected Learning and Ag Extension: Shall the twain meet?

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    Presented by Dr. V. Balaji at the 8th Global Communications Research Association in Bangalore, India, 5-7 January 2016

    sj-docx-1-pie-10.1177_09544089231152698 - Supplemental material for Fault detection of automobile suspension system using decision tree algorithms: A machine learning approach

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    Supplemental material, sj-docx-1-pie-10.1177_09544089231152698 for Fault detection of automobile suspension system using decision tree algorithms: A machine learning approach by P Arun Balaji and V Sugumaran in Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering</p

    author-bios-SRD-19-0063.R1 – Supplemental material for The Network Structure of Police Misconduct

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    Supplemental material, author-bios-SRD-19-0063.R1 for The Network Structure of Police Misconduct by George Wood, Daria Roithmayr and Andrew V. Papachristos in Socius</p

    MOOC, OER and Mass Higher Education

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    MOOC, OER and Mass Higher Education, May 2013 by Venkataraman Balaji, Commonwealth of Learning, Based on a report by Professor T V Prabhakar, IIT Kanpur // A key challenge facing the policy makers in many developing countries is the need to increase affordable access to quality education and training at post-secondary level. The ODL paradigm has been able to address this challenge quite effectively in the past. Two key developments, both involving contemporary ICT, can be of further help

    Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification

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    Let H be a semisimple algebraic group. We prove the semistable reduction theorem for μ-semistable principal H-bundles over a smooth projective variety X defined over the field C. When X is a smooth projective surface and H is simple, we construct the algebro-geometric Donaldson-Uhlenbeck compactification of the moduli space of μ-semistable principal H-bundles with fixed char-acteristic classes and describe its points. For large characteristic classes we show that the moduli space of μ-stable principal H-bundles is non-empty

    Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification

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    Let H be a semisimple algebraic group. We prove the semistable reduction theorem for μ-semistable principal H-bundles over a smooth projective variety X defined over the field C. When X is a smooth projective surface and H is simple, we construct the algebro-geometric Donaldson-Uhlenbeck compactification of the moduli space of μ-semistable principal H-bundles with fixed char-acteristic classes and describe its points. For large characteristic classes we show that the moduli space of μ-stable principal H-bundles is non-empty

    MOOCs: an Introduction

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    ‘Transforming Indian Higher Education through MOOCs’ Forum, New Delhi, India, 9 August 2013, Presented by Professor Asha Kanwar (co-written with Dr. Venkataraman Balaji), Commonwealth of Learning // It is a real pleasure to be here at the Forum that will reflect on ‘Transforming Indian Higher Education through MOOCs’. I am very grateful to Prof MM Pant for the kind invitation and the opportunity to speak to you. I’ll share some basic developments in Massive Open Online Courses or MOOCs to start the conversation on where the triggers for transformation may lie. I have prepared this presentation with our Director, Technology and Knowledge Management, Dr V Balaji. // I will first look at the context of Higher Education (HE) today and the developments that led to the emergence of MOOCs. I will conclude with the implications that MOOCs have for HE in the developing world

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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