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Full-Text Articles in Mathematics

Environmental Kuznets Curve: Some Econometric Analyses., Soumyananda Dinda Dr. Aug 2007

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. Aug 2007

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. Aug 2007

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. Apr 2007

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. Mar 2007

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. Feb 2007

On Edge Detection And Object Recognition In Color Images., Sarif Kumar Naik Dr.

Doctoral Theses

No abstract provided.


Concatenative Text-To-Speech Synthesis: A Study On Standard Colloquial Bengali., Soumen Chowdhury Dr. Feb 2007

Concatenative Text-To-Speech Synthesis: A Study On Standard Colloquial Bengali., Soumen Chowdhury Dr.

Doctoral Theses

The primary communication process between human beings is Speech. Speech synthesis is the automatic and artificial generation of the speech signal by a machine. A TTS (Text-To-Speech) synthesis system is one which can generate speech signal from a string of text in a given language. The development in the speech synthesis systems in various languages has been going on for several decades. With the unprecedented expansion of IT (Information Technology) invading the life of the common man it is highly desirable that at least the information dissemination be made via the speech mode which is the most natural mode of …


Some Geometrical Aspects Of The Cone Linear Complementarity Problem., Madhur Malik Dr. Jan 2007

Some Geometrical Aspects Of The Cone Linear Complementarity Problem., Madhur Malik Dr.

Doctoral Theses

Cone Linear Complementarity ProblemLet V be a finite dimensional real inner product space and K be a closed convex cone in V. Given a linear transformation L : V → V and a vector q ∈ V the cone linear complementarity problem or linear complementarity problem over K, denoted as LCP(K, L, q), is to find a vector x ∈ K such thatL(x) + q ∈ K+ and hx, L(x) + qi = 0,where h., .i denotes an inner product on V and K is the dual cone of K defined as:K∗ := {y ∈ V : hx, yi ≥ …