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Get Complete Project Material File(s) Now! » Summary and future perspectives Semiclassical orthogonal polynomials, in particular generalized Freud polynomials, have been the main focus of this thesis. Generalized Freud polynomials are orthogonal with respect to the so-called generalized Freud inner...

Get Complete Project Material File(s) Now! » Orthogonal polynomials and their properties Orthogonal polynomials were used by R. Murphy (cf. [40]) in 1835 although he referred to them as ”reciprocal functions”. P.L. Chebyshev (cf. [16]) recognized the importance of orthogonal...

Get Complete Project Material File(s) Now! » Reduced kinematics for the kinetic energy In order to lter local displacements, a reduced kinematics is introduced for the mass matrix. This reduced kinematics is intended to be such that the local displacements...

Get Complete Project Material File(s) Now! » Stability properties of finite DPPs In this section, the ground space X is assumed to be nite. We focus on proving some of the stability properties of DPPs under di erent set operations...

Get Complete Project Material File(s) Now! » A brief introduction to real dessins d’enfant For more details, see [Ore03, Bru06, Bih07] for example. Consider a real rational map ϕ = QP : C → C, where P and Q are...

Get Complete Project Material File(s) Now! » The Algebraic Group Model A central paradigm for assessing the security of a cryptographic scheme or hardness assumption is to analyze it within an idealized model of computation. A line of work initiated...

Get Complete Project Material File(s) Now! » Brief Review on Taylor-Couette flow of shear-thinning fluids Circular Couette flow of a shear-thinning fluid is mainly characterized by a viscosity stratification in the annular space, which is more significant as the shear-thinning...

Get Complete Project Material File(s) Now! » Bayesian formulation of sparse signal restoration The Bayesian formulation of the inverse problem y = Ax+n consists in inferring the distribution of x = (q; r) knowing y. The MAP estimator of x...

Get Complete Project Material File(s) Now! » Seawater Intrusion in coastal aquifers The population density of coastal regions around the world is nearly three times the average global population density (Small and Nicholls, 2003). The inhabitants of coastal regions rely...