Arithmetic fake projective spaces and arithmetic fake grassmannians

We show that if n>5, PU(n-1,1) does not contain a cocompact arithmetic subgroup with the same Euler-Poincare characteristic (in the sense of C.T.C. Wall) as the complex projective space of dimension n-1, and show that if n=5, there are at least four such subgroups, which are in fact torsion-free. This, in particular, leads to examples of a fake projective space of dimension 4. Analogous results for arithmetic fake grassmannians Gr(m,n) with n>3 odd are also obtained.Comment: 20 pages, the exposition has been improve

Comprehensive analysis of theory exam question papers of 2nd MBBS Pharmacology subject in Rajiv Gandhi University of Health Sciences, Karnataka, India

Background: Assessment is the backbone of curriculum development and an important component of medical education. Written exams are frequently used in medical education and question papers are important instruments of assessment of medical education. The present study is summative question paper based analysis study where the content validity, level of cognition, cognitive domains, marks distribution and time weightage in theory question papers were analyzed.Methods: Retrospective analysis of II MBBS pharmacology question papers (n=18) of RGUHS, Bengaluru from the year 2010 to 2018 was done. The data was analyzed according to modified Blooms levels of taxonomy, cognitive domains, areas of importance and weightage given to different topics in Paper 1 and 2 in comparison to university syllabus and with regard to time allotted in university syllabus.Results: Analysis of question papers revealed that topics like GIT, respiratory system, uterine drugs, antiseptics and disinfectants, immunosuppressant were consistently underrepresented in question papers. Also, majority of questions (68.06%) did not have any verbs associated with Blooms level of taxonomy and hence did not meet criteria of standard question paper. Comparison of time allocation to weightage of topics in syllabus revealed no significant variations in percentage distribution.Conclusions: Assessment in medical education should not be used merely for classification, grading and certification rather it should become an instrument for promoting growth of knowledge. For this the university should frame standard blueprint for question paper setters and the question paper setters should follow those guidelines strictly and ensure that weightage given for different topics is maintained

Fusion of Mini-Deep Nets

Image classification and object recognition are some of the most prominent problems in computer vision. The difficult nature of finding objects regardless of pose and occlusions requires a large number of compute resources. Recent advancements in technology have made great strides towards solving this problem, and in particular, deep learning has revolutionized this field in the last few years. The classification of large datasets, such as the popular ImageNet dataset, requires a network with millions of weights. Learning each of these weights using back propagation requires a compute intensive training phase with many training samples. Recent compute technology has proven adept at classifying 1000 classes, but it is not clear if computers will be able to differentiate and classify the more than 40,000 classes humans are capable of doing. The goal of this thesis is to train computers to attain human-like performance on large-class datasets. Specifically, we introduce two types of hierarchical architectures: Late Fusion and Early Fusion. These architectures will be used to classify datasets with up to 1000 objects, while simultaneously reducing both the number of computations and training time. These hierarchical architectures maintain discriminative relationships amongst networks within each layer as well as an abstract relationship from one layer to the next. The resulting framework reduces the individual network sizes, and thus the total number of parameters that need to be learned. The smaller number of parameters results in decreased training time

Analysis of adverse drug reactions in a tertiary care teaching hospital in Southern India

Background: Medication use has been there since time immemorial. Also, it was well known that all medications carry risk of adverse drug events. Hence regular and periodic monitoring of medications for adverse events has assumed importance. With this background pharmacovigilance has an important role to play in monitoring of adverse events to medications. Hence the present study was undertaken to analyze the pattern of adverse events reported to a tertiary care teaching hospital in Southern India (Shivamogga Institute of Medical Sciences (SIMS), Shimoga).Methods: This study is a retrospective observational study of 150 adverse drug events reported at McGann teaching hospital, SIMS, Shimoga. The adverse events reported were analyzed for their age and gender distribution, drugs causing ADRs, organ systems affected, causality, type, severity and preventability of ADRs.Results: Patients in age groups of 21-40 were most commonly affected by ADRs with a slight increase in male population affected. Cutaneous ADRs were most common and beta lactam antibiotics were most common drug group implicated in causing these ADRs. Probable/likely category most common WHO-UMC causality category, with type A ADRs being most common. Majority of ADRs were of moderate severity and nearly 86% of ADRs were of not preventable category.Conclusions: Antimicrobials were most commonly involved in causation of ADRs with cutaneous ADRs being most common. Most of ADR were not preventable category, majority of ADRs were of moderate severity and causality grading was probable/likely category

High frequency surface estimation

Mountain generation can be considered a part of the general theory of surface estimation; In this thesis, two methods have been presented to generate fractals--fast Fourier method and a new generalized stochastic subdivision method. Also, a new surface estimation method has been introduced that deals with points of unequal powers. The uniqueness of this method is the usage of splines to calculate the arc lengths between the points, as opposed to Euclidean distances used in Kriging. The fast Fourier technique has been used to generate mountains in particular; also, some extensions have been suggested, whereby different sets of mountains can be obtained by modifying some parameters. This method is global and has the advantages of simplicity and efficiency; it also provides exact spectral control. The search for a more localized method resulted in the new generalized stochastic subdivision technique. The choice of an autocorrelation function is pivotal here. The only significant differences between the fractal subdivision method and this new technique are the increased neighborhood size, boundary conditions and the need to solve a system of equations for each subdivision level; The source code for these techniques was implemented on SGI machines, using C with GL as a graphics standard

Analysis and comparison of two high-gain interleaved coupled-inductor boost converters

The main objective of this thesis is to compare and analyze two different high-gain dc-dc power electronic converters based on coupled inductors and capacitor-diode multiplier cells. The idea of these converters is to integrate the solar energy with a 400V DC microgrid. DC microgrids are more efficient, less expensive, and more reliable compared to AC microgrids. They also favor the integration of renewable energy sources. With the growing need for the utilization of more renewable sources of energy, photovoltaic panels have become one of the trending technologies which convert the energy from the sun to a useable electrical power. But these panels produce a low dc output voltage which cannot directly be connected to the high voltage dc distribution of the grid. They require high-gain dc-dc converters suitable for converting the output voltage of the solar panels to the dc distribution grid voltage. The topologies studied in this thesis provide a high dc voltage gain suitable for this application. The other significant advantage of these topologies is a continuous input current which increases the effective utilization of the source. These converters can also be used in applications involving high gain dc-dc conversion such as fuel cells, and energy storage applications like ultracapacitors. In this thesis, the different operating modes of the two high-gain dc-dc converters are explained in detail. Also, the voltage and current stresses seen by the components have been derived and power loss analysis is carried out for both the topologies. Recently, GaN switches have gained popularity for their higher efficiencies at higher switching frequencies, so this thesis also makes an attempt to compare Si to GaN devices in terms of efficiency improvements for the studied converters --Abstract, page iii

Addendum to `Fake Projective Planes'

The addendum updates the results presented in the paper `Fake Projective Plane, Invent Math 168, 321-370 (2007)' and makes some additions and corrections. The fake projective planes are classified into twenty six classes. Together with a recent work of Donald Cartwright and Tim Steger, there is now a complete list of fake projective planes. There are precisely one hundred fake projective planes as complex surfaces classified up to biholomorphism.Comment: A more refined classification is given in the new versio

Nonexistence of arithmetic fake compact hermitian symmetric spaces of types other than An

We show that there are no arithmetic fake compact hermitian symmetric spaces of type other than An for n>4.Comment: 38 pages, an expanded and improved version of the original article to include consideration of type An for n>4, to appear in Journal of Mathematical Society of Japa