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 181 for “"Linear Equations"”.
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Restarting the Lanczos algorithm for large eigenvalue problems and linear equations.
… large matrices and in solving large systems of linear equations. Restarted versions of both the symmetric and nonsymmetric Lanczos algorithms are given. For the symmetric case, we give a method called Lan-DR that simultaneously solves linear equations and computes eigenvalues and eigenvectors. …
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Hands-on equations program: An approach to teaching linear equations using manipulatives
… a mathematics program called Hands-On Equations (HOE), which is designed to help students learn abstract concepts taught in algebra with less difficulty. The program concentrates on the transition from numerical calculation to abstract reasoning by utilizing manipulatives. The objective …
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Solving Systems of Linear Equations in Algebra I Through Team-Based Inquiry Learning
… learning (TBIL) lens during the systems of linear equations unit in Algebra I. Team-based inquiry learning combines the use of partner and group work with open-ended questioning to allow students to explore mathematics with their peers. Team-based inquiry learning can be used in any …
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Enhanced Lanczos Algorithms for Solving Systems of Linear Equations with Embedding Interpolation and Extrapolation
… that problems with up to $10^6$ variables and equations can be solved with the new approach. Extensive numerical results are included in this thesis. Moreover, we point out some important issues for further investigation.
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Learning how to solve linear equations by teaching the computer: Development and formative evaluation
… by teaching a computer. For the task of solving linear equations, the study was run on a system that is a hybrid of Computer-Aided Instruction (CAI) and peer tutoring: Linear Kid. In this learning environment, three agents come into play in the peer tutoring stage: the student, the computer …
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Utilizing Backwards Design Instruction to Incorporate Real World Applications in Algebra 1 Linear Equations Unit
… for Algebra 1. The lessons are designed for the Linear Equations unit followed by a short summative assessment in the format of a quiz. All materials provide reference to real-world applications presented in the backwards design method and apply technology. The purpose of the curriculum is to …
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An Adaptive Educational Game To Help Students Learn How To Solve Systems Of Linear Equations
… foster problem solving skills in the domain of linear algebra, particularly solving a system of linear equations. Matrix is an adaptive educational game that uses intelligent tutoring modules to guide the student's learning process and provide feedback based on the student's performance. These …
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A study of Grade 8 and 9 learner thinking about linear equations, from a commognitive perspective
… at two South African schools think about linear equations. Sfard's theory of commognition, and particularly her concepts of ritualized and explorative discourse, are used as a framework to analyse how learners' words, gestures, narratives and routines intersect to build a picture of the …
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The Use of Chebyshev Matrix Polynomials in The Iterative Solution of Linear Equations Compared to The Method of Successive Overrelaxation
Made available in DSpace on 2014-12-05T21:50:13Z (GMT). No. of bitstreams: 1 5904512.pdf: 3744616 bytes, checksum: 36f7058b6a22a150846a4adc2a8f8360 (MD5) Previous issue date: 1959
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Use of learning-logs in high school pre-algebra classes to improve mastery of rational numbers and linear equations for high-risk minority students
… to improve the mastery of single-variable equations by high-risk minority students.
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Linear equation solving by high school students with mild disabilites
… on the mathematical algorithms for solving linear equations employing as participants high school students identified as having mild-mental handicap. The students received instruction on the mathematical algorithms for solving linear equations. Implementing a multielement design, the …
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Estimation of ion drift velocity vector in F region ionosphere based on incoherent scattered pulse data using machine learning technique
… on LOS direction unit vector. A system of linear equations based on geometry will be established to estimate the velocity vectors. This thesis will also describe the procedure of formulating the linear equations at each height and include a rank 2 regularization to solve the system of …
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A scheme for identification of a set of nonlinear equations
A method for the identification of a nonlinear set of equations is presented. The method is based on the work done by Harendra, Tripathi, Kudva, and Luders for linear identification. The nonlinear equations are linearized ancl the coefficients of the linear equations are allowed to vary so the …
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Drag considerations for flight in atmospheric turbulence
… is determined. Furthermore, a classic set of non-linear equations of motion for longitudinal flight is reduced to a set of linear equations by linearization. The location of the CG of the aircraft is then changed and a linear feedback control law is used to retain the dynamic characteristic …
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Computer-aided RRSS spatial mechanism synthesis and design
… as well as analyses of the RRSS mechanism. Linear equations are involved in the synthesis of R-R dyad for three and four positions. For five to seven positions, non-linear equations arc involved and the R-R dyads arc synthesized using a least-squares algorithm. For S-S dyad synthesis, all …
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Accuracy-aware privacy mechanisms for distributed computation
… games, and (c) solving a distributed system of linear equations. Specifically, we propose a privacy definition for distributed computation ""non-identifiability"", that allow us to simultaneously guarantee privacy and the accuracy of the computed solution. This definition involves showing that …
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The Mathematics behind Speciated Isotope Dilution Mass Spectrometry
… -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates.
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Formalisation and execution of Linear Algebra: theorems and algorithms
… studies the formalisation and execution of Linear Algebra algorithms in Isabelle/HOL, an interactive theorem prover. The work is based on the HOL Multivariate Analysis library, whose matrix representation has been refined to datatypes that admit a representation in functional programming …
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