Finiteness of the number of compatibly-split subvarieties

We show that for a Frobenius split variety, there are only finitely many closed subvarieties which are compatibly-split.Comment: 3 page

ICT in Universities of the Western Himalayan Region in India: Status, Performance- An Assessment

The present paper describes a live project study carried out for the universities located in the western Himalayan region of India in the year 2009. The objective of this study is to undertake the task of assessment regarding initiative, utilization of ICT resources, its performance and impact in these higher educational institutions/universities. In order to answer these, initially basic four- tier framework was prepared. Followed by a questionnaire containing different ICT components 18 different groups like vision, planning, implementation, ICT infrastructure and related activities exhibiting performance. Primary data in the form of feedback on the five point scale, of the questionnaire, was gathered from six universities of the region. A simple statistical analysis was undertaken using weighted mean, to assess the ICT initiative, status and performance of various universities. In the process, a question related to Performance Indicator was identified from each group, whose Coefficient of Correlation was calculated. This study suggests that a progressive vision, planning and initiative regarding academic syllabi, ICT infrastructure, used in training the skilled human resource, is going to have a favourable impact through actual placement, research and play a dominant role at the National and International level.Comment: International Journal of Computer Science Issues, IJCSI Volume 6, Issue 2, pp44-52, November 200

Mouse Simulation Using Two Coloured Tapes

In this paper, we present a novel approach for Human Computer Interaction (HCI) where, we control cursor movement using a real-time camera. Current methods involve changing mouse parts such as adding more buttons or changing the position of the tracking ball. Instead, our method is to use a camera and computer vision technology, such as image segmentation and gesture recognition, to control mouse tasks (left and right clicking, double-clicking, and scrolling) and we show how it can perform everything as current mouse devices can. The software will be developed in JAVA language. Recognition and pose estimation in this system are user independent and robust as we will be using colour tapes on our finger to perform actions. The software can be used as an intuitive input interface to applications that require multi-dimensional control e.g. computer games etc.Comment: 5 page

Measurement of low frequency noise in mos structures with 20-40 thick oxides

Since McWhorter suggested that flicker noise is related to surface states in semiconductor devices, several attempts have been made to establish this relationship using MOS transisters and other devices

Chemical Fragmentation and Properties of Bulk Graphite and Inorganic Graphite Analogs Produced for Large-Scale Applications in Polymer Composites

The inherent nature of nanomaterials is not well understood, and production of polymer nanocomposites suitable for commercialization is still in its infancy. Polymer nanocomposites have displayed enhanced mechanical, thermal, electrical, and lubricating properties, which are dependent upon nanomaterial characteristics and dispersion. Chemical functionalization of nanomaterials to increase dispersion in various polymer matrices has been shown to further enhance properties. However specific understanding of the chemical and structural properties of modified nanomaterials and commercial scalability is rarely addressed. In this dissertation, we present the chemical fragmentation of 3-D layered hexagonal powders to generate large quantities of exfoliated and edge functionalized materials for dispersion in various polymer matrices. Commercial precursor powders of 3-D hexagonal layered graphite, multi-layered graphene, molybdenum sulfide, and boron nitride were liquid-exfoliated using ultrasonication under various conditions to prepare large quantities of exfoliated materials. This dissertation focuses on the chemical exfoliation of these materials and the subsequent detailed chemical and structural material characterization. Furthermore understanding of the role of edge oxidation during the exfoliation process was studied, and the effects on the macroscopic properties were determined. Characteristic conductivities of graphite and graphene were greatly decreased, implying chemical and/or physical quenching of electrons. Solution characteristics were studied and solution blending with polymers was performed to produce composites. Thermal characterization of the composites demonstrated poor interaction between filler and nonpolar polymers like polystyrene (PS) and poly(cyclohexadiene) (PCHD). Considering the significance of solution characteristics for determining suitable polymer matrices and the effects on properties, a major part of this dissertation focuses on the colloidal behavior of the fragmented materials. Furthermore given the dispersion characteristics of the restacked materials, solution blending was used to generate composites, and the resulting effects on the macroscopic properties are reported. The addition of sodium bisulfite (SBS) during fragmentation of molybdenum disulfide (MoS2) sheets appeared to generate a multiphase material, possibly from ion intercalation. The photoluminescence and lubricity of fragmented MoS2 particles in aqueous dispersions and poly(ethylene glycol) (PEG) solutions suggested a means to produce tailored particles, desirable for applications in coatings or slurries

The transcendental eigenvalue problem and its application in system identification

An accurate mathematical model is needed to solve direct and inverse problems related to engineering analysis and design. Inverse problems of identifying the physical parameters of a non-uniform continuous system based on the spectral data are still unsolved. Traditional methods, for the system identification purpose, describe the continuous structure by a certain discrete model. In dynamic analysis, finite element or finite difference approximation methods are frequently used and they lead to an algebraic eigenvalue problem. The characteristic equation associated with the algebraic eigenvalue problem is a polynomial. Whereas, the spectral characteristic of a continuous system is represented by certain transcendental function, thus it cannot be approximated by the polynomials efficiently. Hence, finite dimensional discrete models are not capable of identifying the physical parameters accurately regardless of the model order used. In this research, a new low order analytical model is developed, which approximates the dynamic behavior of the continuous system accurately and solves the associated inverse problem. The main idea here is to replace the continuous system with variable physical parameters by another continuous system with piecewise uniform physical properties. Such approximations lead to transcendental eigenvalue problems with transcendental matrix elements. Numerical methods are developed to solve such eigenvalue problems. The spectrum of non-uniform rods and beams are approximated with fair accuracy by solving associated transcendental eigenvalue problems. This mathematical model is extended to reconstruct the physical parameters of the non-uniform rods and beams. There is no unique solution for the inverse problem associated with the continuous system. However, based on several observations a conjecture is established by which the solution, that satisfies the given data by its lowest spectrum, is considered the unique solution. Physical parameters of non-uniform rods and beams were identified using the appropriate spectral data. Modal analysis experiments are conducted to obtain the spectrum of the realistic structure. The parameter estimation technique is validated by using the experimental data of a piecewise beam. Besides the applications in system identification of rods and beams, this mathematical model can be used in other areas of engineering such as vibration control and damage detection