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 20 of 2048 for “"squares"”.
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Strictly Concentric Magic Squares
Magic Squares as a mathematical structure have existed for 5000 years, yet they are still an interesting topic of new research. This thesis presents general denitions, examples and important properties of Strictly Concentric Magic Squares (SCMS). Using the known minimum centre cell value of Prime …
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Latin Squares and Applications
… introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogonal Latin squares. Special type of Latin squares, gerechte designs, …
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Geometry of Fractal Squares
… examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised by Cantor sets. Also discussed will be a technique using directed graphs to prove bilipschitz equivalence of two fractal squares.
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Subconstituent Algebras of Latin Squares
… for subconstituent algebras using Latin squares as examples.
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Approximate Transversals of Latin Squares
… of Alon's Combinatorial Nullstellensatz to latin squares, and complete mappings of finite loops.</p>
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Least squares mixture decomposition estimation
The Least Squares Mixture Decomposition Estimator (LSMDE) is a new nonparametric density estimation technique developed by modifying the ordinary kernel density estimators. While the ordinary kernel density estimator assumes equal weight (l/<i>n</i>) for each data point, LSMDE assigns the optimized …
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Critical sets of full Latin squares
… focus to the completability of partial k-Latin squares. The relationship between partial k-Latin squares and semi-k-Latin squares is used to show that any partial k-Latin square of order n with at most (n - 1) non-empty cells is completable. As Latin cubes generalize Latin squares, we attempt to …
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A Geometric Approach to Least Squares
A routine problem is to best fit a line to planar data. The goal of this thesis is to view linear regression in a geometric light. Lines in the plane can be identified with points on the cylinder, and fitting a line to a data set can be defined by mapping from that cylinder to R. The best-fit line …
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(Visible) Tilings of Squares and Hypercubes
… Erdos considered sums of the side lengths of squares packed into a unit square.Here we consider various classes of tilings , this is, packings where there is no empty space inside the unit square. Several types of questions will be explored here. Various construction techniques are introduced, …
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Pattern formation in squares and rectangles
This thesis considers pattern formation governed by the two dimensional Swift-Hohenberg equation in square and rectangular domains. For the square, the dependence of the solution on the size of the square relative to the characteristic wavelength of the pattern is investigated for periodic, …
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Completely Recursive Least Squares and Its Applications
… matrix-inversion-lemma based recursive least squares (RLS) approach is of a recursive form and free of matrix inversion, and has excellent performance regarding computation and memory in solving the classic least-squares (LS) problem. It is important to generalize RLS for generalized LS (GLS) …
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Distributed Singular Value Decomposition Through Least Squares
… by implementing parallelized alternating least squares and prove theoretical guarantees for its convergence and empirical results, which allow for the development of a simple framework for solving SVD in a correct, scalable, and easily optimizable manner.
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Methods of non-linear least squares estimation
… published techniques for determining the least squares estimates of the parameters in non-linear statistical models. It is first briefly indicated why non-linear models require iterative numerical estimating procedures, unlike the straightforward algebraic estimation possibly in the linear case. …
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A Comparison Of Ordinary Least Squares, Weighted Least Squares, And Other Procedures When Testing For The Equality Of Regression
… of regression slopes based on ordinary least squares (OLS) estimation, extant research has shown that the standard F performs poorly when the critical assumption of homoscedasticity is violated, resulting in increased Type I error rates and reduced statistical power (Box, 1954; DeShon & …
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Construction of sets of mutually orthogonal Latin squares
Digitized by Kansas Correctional Industries
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Construction of sets of mutually orthogonal Latin squares
Digitized by Kansas Correctional Industries
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Iterative least squares algorithms for digital filter design.
… algorithms are based on the Iterative Least Squares (ILS) approach. We first review the various Iterative Reweighted Least Squares (IRLS) methods used to design Chebyshev and $L\sb{p}$ linear phase FIR filters. Then we focus on the ILS design of IIR filters and filter banks. For the design of …
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