Browsing Mathematics (MA) by Title
Now showing items 14-33 of 257
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Benard-Marangoni convection and instability in a layered fluid system
Buoyancy-driven instability has been well established since the pioneering work of Rayleigh, who showed that convection, called Bénard convection, occurs only when the Rayleigh number, which is a ratio of buoyancy force ... -
Betti Numbers, Grobner Basis And Syzygies For Certain Affine Monomial Curves
(Indian Institute of Science, 2007-03-30)Let e > 3 and mo,... ,me_i be positive integers with gcd(m0,... ,me_i) = 1, which form an almost arithmetic sequence, i.e., some e - 1 of these form an arithmetic progression. We further assume that m0,... ,mc_1 generate ... -
Borsuk-Ulam Theorem And Its Equivalent Formulations
(2011-09-28) -
Boundary element method applied to fluid flow problems
This research work is a study of fluid flow problems by the Boundary (Finite) Element Method. The widely used Finite Element Method has the advantages of its flexibility in choosing the shape and size of the elements, the ... -
Bounded Analytic Functions On The Unit Disc
(2011-08-09)In this thesis, we have dealt primarily with two function algebras. The first one is the space of all holomorphic functions on the unit disc D in the complex plane which are continuous up to the boundary, denoted by A(D). ... -
The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality
(2018-05-30)The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ... -
Central and Peripheral Correlates of Motor Planning
(2018-02-11)A hallmark of human behaviour is that we can either couple or decouple our thoughts, decision and motor plans from actions. Previous studies have reported evidence of gating of information between intention and action that ... -
Characterization of Brain Signals Across Scales Using Temporally Modulated Visual Stimuli
Electrical signals from the brain can be recorded at several different scales, ranging from spiking activity to local field potential (LFP) in animals to scalp electroencephalogram (EEG) in humans. Each signal represents ... -
Characters of classical groups twisted by roots of unity
This thesis focuses on the study of specialized characters of irreducible polynomial representations of the complex classical Lie groups of types A, B, C and D. We study various specializations where the characters are ... -
Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations
(2018-02-18)Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metric spaces equipped with the Gromov-Hausdorff distance, is a theorem with many applications. In this thesis, we give a ... -
Computation of Lyapunov spectrum and dynamic moment invariants
This thesis consists of two parts. The first part describes a new method of computing the Lyapunov exponents of continuous and discrete dynamical systems. Chaos is observed in a large class of systems and hence the problem ... -
Computation of Sparse Representations of High Dimensional Time Series Data and Experimental Applications
Obtaining a sparse representation of high dimensional data is often the first step towards its further analysis. Conventional Vector Autoregressive (VAR) modelling methods applied to such data results in noisy, non-sparse ... -
Computational methods in linear algebra and related problems
The importance of linear algebra can be summarized by the single statement: "Linear Algebra pervades and enriches almost all areas in numerical computation." Ever so many methods are available in literature for the ... -
Computational Studies on Structures and Functions of Single and Multi-domain Proteins
(2018-05-25)Proteins are essential for the growth, survival and maintenance of the cell. Understanding the functional roles of proteins helps to decipher the working of macromolecular assemblies and cellular machinery of living ... -
A computational systems biology approach for elucidating molecular features of primary and metastatic melanoma
Malignant melanoma, a cancer arising from melanocytes, is reported to have one of the fastest growing incidence rates worldwide, and is considered to be one of the most aggressive human malignancies. According to the ... -
Computations in linear algebra: a new look at residue arithmetic.
The dissertation deals with error-free and approximate computations of some problems in linear algebra, with an emphasis on a modified residue arithmetic developed here. It is divided into five chapters:Chapter 1 The ... -
Contractivity, Complete Contractivity and Curvature Inequalities
Let ???A\| \cdot \|_A???A? be a norm on Cm\mathbb{C}^mCm given by the formula ?(z1,…,zm)?A=?z1A1+?+zmAm?\|(z_1, \ldots, z_m)\|_A = \|z_1 A_1 + \cdots + z_m A_m\|?(z1?,…,zm?)?A?=?z1?A1?+?+zm?Am?? for some choice of an ... -
Controlled Semi-Markov Processes With Partial Observation
(2011-09-28) -
Convergence of state distributions in multi-type Bellman-Harris and Crump Mode-Jagers branching processes
Athreya and Kaplan proved recently that the age distribution in a one?type supercritical Bellman–Harris process converges with probability one to a deterministic distribution, assuming either a j log j hypothesis on the ... -
Correlation Functions in the Finite Toom Model
This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1q-Toom model and prove some known results about ...