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Articles 151 - 180 of 466
Full-Text Articles in Mathematics
Fast Placement And Floorplanning Methods In Modern Reconfigurable Fpgas., Pritha Baneerjee Dr.
Fast Placement And Floorplanning Methods In Modern Reconfigurable Fpgas., Pritha Baneerjee Dr.
Doctoral Theses
FPGA Field-programmable gate-arrays (FPGA) are programmable hardware platforms with pre-fabricated logic and interconnects, which are electrically programmed by the user to realize a variety of circuits frequently required in a wide range of applications. Unlike application-specific integrated-circuits (ASICs), where realization of a circuit design takes several man-hours and enormous effort, the pre-fabricated logic and interconnects can be quickly programmed according to the design specification and made functional. Thus, in contrast to the ASICs, FPGAs can be customized and reconfigured depending on the need of the user. A basic FPGA chip consists of a set of configurable logic blocks (CLB) and …
Sequences Of Positive Integers Containing No K-Term Arithmetic Progressions And Smooth Numbers In Short Intervals., Goutam Pal Dr.
Sequences Of Positive Integers Containing No K-Term Arithmetic Progressions And Smooth Numbers In Short Intervals., Goutam Pal Dr.
Doctoral Theses
In my thesis I have worked on two problems:1. On sequences of positive integers containing no k terms in arithmetic progressions.2. On smooth numbers in short intervals.The first two chapters of my thesis deal with the first problem and in the rest of the thesis I have focused on the 2nd problem.In the first chapter of my thesis I have considered the function rk(N) for a fixed k ≥ 3, where, by definition, rk(N) is the cardinality of a maximal subset of N consecutive natural numbers with the property that nork terms of it are in an Arithmetic Progression (A. …
Application Of Combinatorial Structures To Key Predistribution In Sensor Networks And Traitor Tracing., Sushmita Ruj Dr.
Application Of Combinatorial Structures To Key Predistribution In Sensor Networks And Traitor Tracing., Sushmita Ruj Dr.
Doctoral Theses
From time immemorial people have used cryptography for secure communication. Cryptography has decided the fate of many kings and queens as well as the outcome of various wars. It has become all the more important nowadays, with the growing need of electronic communication. We now live in a society where electronic networks pervade all aspects of our professional and private lives. We all use cryptography when we do bank transfers by ATM, or SWIFT, while using the mobile phones and i-phones, SSL protocols or using password protected machines. Though electronic communication is fast and easy, it is vulnerable to security …
Empirical Determination And Forecastability Of Foreign Exchange Rate Of India., Rituparna Kar Dr.
Empirical Determination And Forecastability Of Foreign Exchange Rate Of India., Rituparna Kar Dr.
Doctoral Theses
The first chapter of this thesis begins with a brief review of the existing literature on foreign exchange rate models and their forecasting performance. Thereafter it presents the motivation as well as the main aspects of this study. The format of this chapter is as follows. A brief review of the relevant literature is presented in the first section. This review includes the important theoretical / structural as well as time series models of exchange rate. The motivation of the thesis is discussed in Section 1.2. Section 1.3 presents a brief account of the Indian economic reforms since 1993 with …
Intersection Numbers, Embedded Spheres And Geosphere Laminations For Free Groups., Suhas Pandit Dr.
Intersection Numbers, Embedded Spheres And Geosphere Laminations For Free Groups., Suhas Pandit Dr.
Doctoral Theses
Topological and geometric methods have played a major role in the study of infinite groups since the time of Poincar´e and Klein, with the work of Nielsen, Dehn, Stallings and Gromov showing particularly deep connections with the topology of surfaces and three-manifolds. This is in part because a surface or a 3-manifold is essentially determined by its fundamental group, and has a geometric structure due to the Poincar´e-K¨obe-Klein uniformisation theorem for surfaces and Thurston’s geometrisation conjecture, which is now a theorem of Perelman, for 3-manifolds.A particularly fruitful instance of such an interplay is the relation between intersection numbers of simple …
Geometric Characterization Of Digital Objects: Algorithms And Applications To Image Analysis., Arindam Biswas Dr.
Geometric Characterization Of Digital Objects: Algorithms And Applications To Image Analysis., Arindam Biswas Dr.
Doctoral Theses
Several problems of characterizing a digital object, and particularly, those related to boundary description, have been studied in this thesis. New algorithms and their applications to various aspects of image analysis and retrieval have been reported. A combinatorial technique for constructing the outer and inner isothetic covers of a digital object has been developed. The resolution of the background 2D grid can be changed by varying the grid spacing, and this procedure can be used to extract shape and topological information about the object. Next, an algorithm has been designed for constructing the orthogonal (convex) hull of a digital object …
Normal Surfaces And Heegaard Splittings Of 3-Manifolds., Tejas Kalelkar Dr.
Normal Surfaces And Heegaard Splittings Of 3-Manifolds., Tejas Kalelkar Dr.
Doctoral Theses
This thesis deals with various questions regarding normal surfaces and Heegaard splittings of 3-manifolds.Chapter 1The first chapter is divided into two parts. In the first, we give an outline of normal surface theory and mention some of its important applications. The second part gives an overview of the theory of Heegaard splitting surfaces and a few of its applications. None of the material covered in this chapter is original and it is meant solely as an exposition of known results.Chapter 2In this chapter, we give a lower bound on the Euler characteristic of a normal surface, a topological invariant, in …
Human Capital And Economic Growth: Theory And Policy., Bidisha Chakraborty Dr.
Human Capital And Economic Growth: Theory And Policy., Bidisha Chakraborty Dr.
Doctoral Theses
Growth theory is one of the most important branches of macroeconomics. Growth theory helps us to understand the intertemporal behaviour of a dynamic economy and to understand the properties of the long-run rate of economic growth. It identifies the factors causing the deviation of the actual rate of growth from the socially efficient rate of growth and analyses the effectiveness of various policies in removing this gap. It analyses the condition of stability of the long-run equilibrium and also attempts to establish links between the long run equilibrium and the persistence of underdevelopment.With the emergence of the ‘new’ growth theory, …
Versal Deformations Of Leibniz Algebra., Ashis Mandal Dr.
Versal Deformations Of Leibniz Algebra., Ashis Mandal Dr.
Doctoral Theses
No abstract provided.
Isomorphism Of Schwartz Spaces Under Fourier Transform., Joydip Jana Dr.
Isomorphism Of Schwartz Spaces Under Fourier Transform., Joydip Jana Dr.
Doctoral Theses
Classical Fourier analysis derives much of its power from the fact that there are three function spaces whose images under the Fourier transform can be exactly determined. They are the Schwartz space, the L2 space and the space of all C ∞ functions of compact support. The determination of the image is obtained from the definition in the case of Schwartz space, through the Plancherel theorem for the L 2space and through the Paley-Wiener theorem for the other space.In harmonic analysis of semisimple Lie groups, function spaces on various restricted set-ups are of interest. Among the multitude of these spaces …
Certain Pattern Recognition Tasks Using Genetic Programming., Durga Muni Dr.
Certain Pattern Recognition Tasks Using Genetic Programming., Durga Muni Dr.
Doctoral Theses
No abstract provided.
Studies On Construction And List Decoding Of Codes On Some Towers Of Function Fields., M. Prem Laxman Das Dr.
Studies On Construction And List Decoding Of Codes On Some Towers Of Function Fields., M. Prem Laxman Das Dr.
Doctoral Theses
In everyday life, there arise many situations where two parties, sender and receiver, need to communicate. The channel through which they communicate is assumed to be binary symmetric, that is, it changes 0 to 1 and vice versa with equal probability. At the receiver’s end, the sent message has to be recovered from the corrupted received word using some reasonable mechanism. This real life problem has attracted a lot of research in the past few decades. A solution to this problem is obtained by adding redundancy in a systematic manner to the message to construct a codeword. The collection of …
Spectral Analysis And Synthesis For Radial Sections Of Homogenous Vector Bundles On Certain Noncompath Riemannian Symmetric Spaces., Sanjoy Pusti Dr.
Spectral Analysis And Synthesis For Radial Sections Of Homogenous Vector Bundles On Certain Noncompath Riemannian Symmetric Spaces., Sanjoy Pusti Dr.
Doctoral Theses
We consider two classical theorems of real analysis which deals with translation invariant subspaces of integrable and smooth functions on R respectively. The first one is a theorem of Norbert Wiener [63] which states that if the Fourier transform of a function f ∈ L 1 (R) has no real zeros then the finite linear combinations of translations f(x − a) of f with complex coefficients form a dense subspace in L 1 (R), equivalently, span{g ∗ f | g ∈ L 1 (R)} is dense in L 1 (R). This theorem is well known as the Wiener-Tauberian Theorem (WTT). …
Image And Video Compression Using Block Truncation Coding And Pattern Fitting For Fast Decoding., Bibhas Chandra Dhara Dr.
Image And Video Compression Using Block Truncation Coding And Pattern Fitting For Fast Decoding., Bibhas Chandra Dhara Dr.
Doctoral Theses
In the present era of multimedia, the requirement of image/video storage and transmission for video conferencing, image and video retrieval, video playback, etc. are increasing exponentially. As a result, the need for better compression technology is always in demand. The limited bandwidth of internet also asks for transmission of desired objects only. Progressive image transmission provides such facilities, where transmission is done in steps and the transmission of undesired image can be stopped at an early stage. Modern applications, in addition to high compression ratio, also demand for efficient encoding and decoding processes, so that computational constraint of many real-time …
Homogeneous Operators In The Cowen-Douglas Class., Subrata Shyam Roy Dr.
Homogeneous Operators In The Cowen-Douglas Class., Subrata Shyam Roy Dr.
Doctoral Theses
Although, we have used techniques developed in the paper of Cowen-Douglas [18, 20], a systematic account of Hilbert space operators using a variety of tools from several different areas of mathematics is given in the book [26]. This book provides, what the authors call, a sheaf model for a large class of commuting Hilbert space operators. It is likely that these ideas will play a significant role in the future development of the topics discussed here.
Web Surfer Models: Preprocessing, Page Ranking, And Quantitative Evaluation., Narayan L. Bhamidipati Dr.
Web Surfer Models: Preprocessing, Page Ranking, And Quantitative Evaluation., Narayan L. Bhamidipati Dr.
Doctoral Theses
The World Wide Web [12] (usually referred to as the Web, WWW or W3) is an enormous collection of data available over the Internet, which is a vast network of computers. It was created in the year 1990 by Tim Berners-Lee, while he worked at CERN, Switzerland, and was made available over the Internet in 1991. The World Wide Web Consortium [136] authoritatively defines the Web as the universe of network-accessible information, the embodiment of human knowledge. The Web consists of objects, also called documents or pages in a generic sense, that are identified using a Uniform Resource Identifier (URI), …
Order-Restricted Covariate Effects And Hazard Regression Models., Arnab Bhattacharjee Dr.
Order-Restricted Covariate Effects And Hazard Regression Models., Arnab Bhattacharjee Dr.
Doctoral Theses
The proportional hazards (PH) model, but more speciÖcally its special case the Cox regression model (Cox, 1972), plays an important role in the theory and practice of lifetime and duration data analysis. This is because the PH model (and the Cox regression model) provides a convenient way to evaluate the ináuence of one or several covariates on the probability of conclusion of lifetime or duration spells. However, the PH speciÖcation substantially restricts interdependence between the explanatory variables and the lifetime in determining the hazard. In particular, the Cox regression model model restricts the coe¢ cients of the regressors in the …
Placement And Range Assignment In Power-Aware Radio Networks., Gautam Kumar Das Dr.
Placement And Range Assignment In Power-Aware Radio Networks., Gautam Kumar Das Dr.
Doctoral Theses
Due to the extraordinary growth of demand in mobile communication facility, design of efficient systems for providing specialized services has become an important issue in wireless mobility research. Broadly speaking, there are two major models for wireless networking: single-hop and multi-hop. The single-hop model [110] is based on the cellular network, and it provides one-hop wireless connectivity between the host and the static nodes known as base stations. single-hop networks rely on a fixed backbone infrastructure that interconnects all the base stations by high speed wired links. On the other hand, the multi-hop model requires neither fixed wired infrastructure nor …
Innovation Imitation And North South Trade: Economic Theory And Policy., Debasis Mondal Dr.
Innovation Imitation And North South Trade: Economic Theory And Policy., Debasis Mondal Dr.
Doctoral Theses
No abstract provided.
Predictability In The Indian Stock Market: A Study From An Econometric Perspective., Debabrata Mukhopadhyay Dr.
Predictability In The Indian Stock Market: A Study From An Econometric Perspective., Debabrata Mukhopadhyay Dr.
Doctoral Theses
No abstract provided.
Contributions To Random Energy Models., Nabin Kumar Jana Dr.
Contributions To Random Energy Models., Nabin Kumar Jana Dr.
Doctoral Theses
In this introductory chapter, we begin with a brief description of spin glasses in section 1. We are not physicists. The purpose of this section is to trace the history of the models. Section 2 gives a brief summary of the thesis and section 3 recalls certain known facts which will be used later in the thesis.Origin of the problem The models considered in this thesis have their origin in spin glass theory. Roughly, spin glass is a glassy state in a spin system or a disordered material exhibiting high magnetic frustration. The origin of this behavior can be either …
Applications Of Combinatorial Designs In Key Pre-Distribution In Sensor Networks., Dibyendu Chakrabarti Dr.
Applications Of Combinatorial Designs In Key Pre-Distribution In Sensor Networks., Dibyendu Chakrabarti Dr.
Doctoral Theses
Key pre-distribution is an important area of research in Distributed Sensor Networks (DSN). Some improved techniques over the existing schemes (employing combinatorial designs) have been proposed in this thesis and detailed mathematical analysis of the schemes has been presented. At first, combinatorial design followed by randomized merging strategy is applied to key pre-distribution in sensor nodes. Our main target is to get more than one pair of common keys between any pair of nodes to provide a robust network in terms of security under adversarial conditions where some nodes may get compromised. A transversal design is used to construct a …
Algorithms For Some Geometric Facility Location And Path Planning Problems., Sasanka Roy Dr.
Algorithms For Some Geometric Facility Location And Path Planning Problems., Sasanka Roy Dr.
Doctoral Theses
The facility location problem is a resource allocation problem that mainly deals with adequate placement of various types of facilities to serve a distributed set of demands satisfying the nature of interactions between the demands and facilities and optimizing the cost of placing/maintaining the facilities and the quality of services.The facility location problem is well-studied in the Operations Research literature and recently has received a lot of attention in the Computer Science community. For a company, the facility location problem provides more strategic decisions than just giving importance to locate the lowest cost space for storing its products. While identifying …
Geometric Primitives In Digital Images: Analyses And Applications Using Digital Geometry., Partha Bhowmick Dr.
Geometric Primitives In Digital Images: Analyses And Applications Using Digital Geometry., Partha Bhowmick Dr.
Doctoral Theses
No abstract provided.
Environmental Kuznets Curve: Some Econometric Analyses., Soumyananda Dinda Dr.
Environmental Kuznets Curve: Some Econometric Analyses., Soumyananda Dinda Dr.
Doctoral Theses
This dissertation explores some issues of environmental economics and development. A concept crystallizing in the development and environmental economics literature is the notion that socioeconomic and environmental measures follow predictable paths associated with growing per capita income. In this context, the nature of relationship between economic development and environmental quality has become the focus of increasing attention. The issue of whether environmental degradation increases monotonically, decreases monotonically, or at first increases and then declines along a country’s development path, has critical implications for policy. Whilst development through industrialization brings higher incomes and well-being, this seems to act as a magnifier …
Some Necessary Conditions Of Boolean Functions To Resist Algebraic Attacks., Deepak Dalai Dr.
Some Necessary Conditions Of Boolean Functions To Resist Algebraic Attacks., Deepak Dalai Dr.
Doctoral Theses
No abstract provided.
Construction Of (Hierarchical) Identity-Based Encryption Protocols Using Bilinear Pairing., Sanjit Chatterjee Dr.
Construction Of (Hierarchical) Identity-Based Encryption Protocols Using Bilinear Pairing., Sanjit Chatterjee Dr.
Doctoral Theses
Science, it is argued [65], advances through paradigm shifts. Concepts emerge that open-up new vistas of research, fundamentally changing the way we are used to looking at things. Between these paradigm shifts remain the periods of consolidation. Periods when human mind explores the newly found territory, shedding light on hitherto unknown dimensions. If radical changes are the hallmarks of paradigm shifts, the period within witnesses small but continuous developments, occasionally marked by its own milestones. It is in these periods that human faculty tries to grasp the full significance of the new concepts, consolidates its gains and thereby pushes the …
Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr.
Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr.
Doctoral Theses
In this thesis we denote a field by k. We consider fields of characteristic not 2 unless stated otherwise. The notation ¯k and ks denotes an algebraic closure and separable closure of k respectively. The symbols Q, R, C will denote fields of rational, real, complex numbers respectively. The symbol Z will denote the set of integers. We denote by cd(k) the cohomological dimension of k.We use G to denote an algebraic group and G(k) to denote the group of k rational points of G. Sometimes we abuse notation and denote the group of ¯k points of G by G. …
A Study On Time/Memory Trade-Off Cryptanalysis., Sourav Mukhopadhyay Dr.
A Study On Time/Memory Trade-Off Cryptanalysis., Sourav Mukhopadhyay Dr.
Doctoral Theses
At the beginning of 2003, I was searching for a suitable area to do my PhD. My respected guide Prof. Palash Sarkar assigned me to do a survey work on block cipher cryptanalysis. I found myself very interested in this area. I am very lucky that I joined into a golden group – Cryptology Research Group of India formed by our beloved teacher Prof. Bimal Roy and had the opportunity to work with Prof. Palash Sarkar, Dr. Subhomoy Maitra, Prof. Rana Barua and many others. I have been inspired by many persons during my PhD work.I would like to begin …
On Edge Detection And Object Recognition In Color Images., Sarif Kumar Naik Dr.
On Edge Detection And Object Recognition In Color Images., Sarif Kumar Naik Dr.
Doctoral Theses
No abstract provided.