Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 14 of 14 for “"linear independence"”.
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On the Construction of Linear Prewavelets over a Regular Triangulation.
… A corresponding theorem is given to ensure the linear independence of a set of different pre-wavelets obtained by summing pairs of these semi-prewavelets. This provides efficient multiresolutions of the spaces of functions over various regular triangulation domains since the bases of the …
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Distribution of Holonomy about Closed Geodesics on Compact Hyperbolic 3-Manifolds
… all distinct non-zero spectral parameters are linearly independent over the rationals, we explicate the probability distribution function for this sum. In addition, we construct an example where the linear independence hypothesis is not met.</p>
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Efficient schemes on solving fractional integro-differential equations
… derivative and kernel matrix has been derived. Linear independence of Genocchi polynomials has been proved by deriving the expression for Genocchi polynomial Gram determinant. Genocchi polynomial method with collocation has been introduced and applied in solving both linear and system of linear …
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On Using Graphical Calculi: Centers, Zeroth Hochschild Homology and Possible Compositions of Induction and Restriction Functors in Various Diagrammatical Algebras
… results from Sikora and Westbury to prove the linear independence of these webs on these surfaces. In the third chapter, we use other diagrams to attempt to find explicitely the possible compositions of the induction and restriction functors in the cyclotomic quotients of the NilHecke algebra. …
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Discrete universality theorems for the Riemann and Hurwitz zeta-functions /
… is obtained. This class is characterized by the linear independence over the field of rational numbers of the set for all positive rational nd generalizes the case of transcendental parameters .
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Diskrečiosios universalumo teoremos Rymano ir Hurvico dzeta funkcijoms /
… is obtained. This class is characterized by the linear independence over the field of rational numbers of the set for all positive rational nd generalizes the case of transcendental parameters .
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Development of Fractional Trigonometry and an Application of Fractional Calculus to Pharmacokinetic Model
… determinant that can be used to determine the linear independence of a set of solutions to a system of fractional differential equations. We also introduce a new set of fractional differential equations whose solutions are fractional trigonometric functions. <br />The first chapter gives a …
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Influence of Operational Characterization Methods on DOM Physicochemical Properties and Reactivity with Aqueous Chlorine
… with a suitable membrane permeation model. Linear independence of membrane solute transport was theoretically described using non-equilibrium thermodynamics and experimentally demonstrated for AMICON® YC/YM series UF membranes. Mass balances on DMM fraction constituents in untreated and …
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Development of Nabla Fractional Calculus and a New Approach to Data Fitting in Time Dependent Cancer Therapeutic Study
… we state and prove some basic theorems about linear independence of the set of solutions. We focus on the solutions of up to second order nabla fractional di erence equation. We examine these solutions case by case namely, for the real and distinct characteristic roots, real and same, and …
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Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes
… process of refinement and coarsening guarantees linear independence and remains the regularity of the basis functions. We further propose an efficient data transfer algorithm during both refinement and coarsening which yields to accurate results.</p><p>The adaptive approach is applied to vesicle …
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An exploration of near-vector space theory
… Furthermore, this thesis develops the notion of linear independence and span for near-vector spaces, leading to an interesting definition of a basis for near-vector spaces. An important result proven by J. André is that any near-vector space can be decomposed into a direct sum of what is called …
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Digital Pre-Distortion: The Implementation, Minimisation, & Estimation
… in PA design exists between efficiency and linearity. To satisfy both high efficiency and high linearity, an external linearisation technique can be applied to a PA. Digital Pre-Distortion (DPD) has been widely demonstrated in industry and academia to perform linearisation. Some issues …
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An evaluation of component mode synthesis for modal analysis of finite element models
… compatibility, high convergence rate, linear independence and completeness. Fixed-interface and free-interface CMS formulations in the form of matrix eigen value equations are derived from these mode sets and describe approximately the low-frequency free vibration modes of the …
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Zero Divisors, Group Von Neumann Algebras and Injective Modules
In this thesis we discuss linear dependence of translations which is intimately related to the zero divisor conjecture. We also discuss the square integrable representations of the generalized Wyle-Heisenberg group in 𝑛² dimensions and its relations with Gabor's question from Gabor Analysis in the …