Browsing Mathematics (MA) by Subject "Mathematics"
Now showing items 1-20 of 67
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Analysis of Proportional Navigation Class of Guidance Law against Agile Targets
(2017-12-12)Guidance is defined as the determination of a strategy for following a nominal path in the presence of o-nominal conditions, disturbances and uncertainties, and the strategy employed is called a guidance law. Variants of ... -
Analytic and Entire Vectors for Representations of Lie Groups
(2018-01-01)We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the ... -
Analytic Continuation In Several Complex Variables
(2014-06-30)We wish to study those domains in Cn,for n ≥ 2, the so-called domains of holomorphy, which are in some sense the maximal domains of existence of the holomorphic functions defined on them. We demonstrate that this study ... -
Analytic Models, Dilations, Wandering Subspaces and Inner Functions
This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main ... -
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 ... -
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 ... -
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 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 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 ... -
Dilation Theory of Contractions and Nevanlinna-Pick Interpolation Problem
In this article, we give two different proofs of the existence of the minimal isometric dilation of a single contraction. Then using the existence of a unitary dilation of a contraction, we prove the `von Neumann's ... -
Dilations, Functoinal Model And A Complete Unitary Invariant Of A r-contraction.
(2013-08-02)A pair of commuting bounded operators (S, P) for which the set r = {(z 1 +z 2,z 1z 2) : |z 1| ≤1, |z 2| ≤1} C2 is a spectral set, is called a r-contraction in the literature. For a contraction P and a bounded commutant ... -
Dynamic Flow Rules in Continuum Visco-plasticity and Damage Models for Poly-crystalline Solids
Modelling highly non-linear, strongly temperature- and rate-dependent visco-plastic behaviour of poly-crystalline solids (e.g., metals and metallic alloys) is one of the most challenging topics of contemporary research ... -
Dynamical Properties of Families of Holomorphic Mappings
(2018-06-08)Thesis Abstract In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical ... -
Eigenvalues of Products of Random Matrices
(2018-02-07)In this thesis, we study the exact eigenvalue distribution of product of independent rectangular complex Gaussian matrices and also that of product of independent truncated Haar unitary matrices and inverses of truncated ... -
Exploring Polynomial Convexity Of Certain Classes Of Sets
(2011-07-18)Let K be a compact subset of Cn . The polynomially convex hull of K is defined as The compact set K is said to be polynomially convex if = K. A closed subset is said to be locally polynomially convex at if there ... -
Finite Element Analysis of Interior and Boundary Control Problems
(2018-06-18)The primary goal of this thesis is to study finite element based a priori and a posteriori error estimates of optimal control problems of various kinds governed by linear elliptic PDEs (partial differential equations) of ... -
A Formal Proof of Feit-Higman Theorem in Agda
(2018-02-18)In this thesis we present a formalization of the combinatorial part of the proof of Feit-Higman theorem on generalized polygons. Generalised polygons are abstract geometric structures that generalize ordinary polygons and ...