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Virginia Tech

1. Beane, Maria Elizabeth. An Introduction to S(5,8,24).

Degree: MS, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/32676

► S(5,8,24) is one of the largest known Steiner systems and connects combinatorial designs, error-correcting codes, finite simple groups, and sphere packings in a truly remarkable…
(more)

Subjects/Keywords: Steiner Systems; Error-Correcting Codes; Mathieu Groups; Sphere Packings

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APA (6^{th} Edition):

Beane, M. E. (2011). An Introduction to S(5,8,24). (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32676

Chicago Manual of Style (16^{th} Edition):

Beane, Maria Elizabeth. “An Introduction to S(5,8,24).” 2011. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/32676.

MLA Handbook (7^{th} Edition):

Beane, Maria Elizabeth. “An Introduction to S(5,8,24).” 2011. Web. 30 Sep 2020.

Vancouver:

Beane ME. An Introduction to S(5,8,24). [Internet] [Masters thesis]. Virginia Tech; 2011. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/32676.

Council of Science Editors:

Beane ME. An Introduction to S(5,8,24). [Masters Thesis]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/32676

Virginia Tech

2. Renardy, Marissa. Analysis of the BiCG Method.

Degree: MS, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/50922

► The Biconjugate Gradient (BiCG) method is an iterative Krylov subspace method that utilizes a 3-term recurrence. BiCG is the basis of several very popular methods,…
(more)

Subjects/Keywords: Krylov methods; BiCG; GMRES; FOM

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APA (6^{th} Edition):

Renardy, M. (2013). Analysis of the BiCG Method. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/50922

Chicago Manual of Style (16^{th} Edition):

Renardy, Marissa. “Analysis of the BiCG Method.” 2013. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/50922.

MLA Handbook (7^{th} Edition):

Renardy, Marissa. “Analysis of the BiCG Method.” 2013. Web. 30 Sep 2020.

Vancouver:

Renardy M. Analysis of the BiCG Method. [Internet] [Masters thesis]. Virginia Tech; 2013. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/50922.

Council of Science Editors:

Renardy M. Analysis of the BiCG Method. [Masters Thesis]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/50922

Virginia Tech

3. Carracedo Rodriguez, Andrea. Mathematical Models of Hepatitis B Virus Dynamics during Antiviral Therapy.

Degree: MS, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/70759

► Antiviral therapy for patients infected with hepatitis B virus is only partially efficient. The field is in high demand for understanding the connections between the…
(more)

Subjects/Keywords: Mathematical modeling; Hepatitis B treatment; Viral decay profiles

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APA (6^{th} Edition):

Carracedo Rodriguez, A. (2016). Mathematical Models of Hepatitis B Virus Dynamics during Antiviral Therapy. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/70759

Chicago Manual of Style (16^{th} Edition):

Carracedo Rodriguez, Andrea. “Mathematical Models of Hepatitis B Virus Dynamics during Antiviral Therapy.” 2016. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/70759.

MLA Handbook (7^{th} Edition):

Carracedo Rodriguez, Andrea. “Mathematical Models of Hepatitis B Virus Dynamics during Antiviral Therapy.” 2016. Web. 30 Sep 2020.

Vancouver:

Carracedo Rodriguez A. Mathematical Models of Hepatitis B Virus Dynamics during Antiviral Therapy. [Internet] [Masters thesis]. Virginia Tech; 2016. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/70759.

Council of Science Editors:

Carracedo Rodriguez A. Mathematical Models of Hepatitis B Virus Dynamics during Antiviral Therapy. [Masters Thesis]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/70759

Virginia Tech

4. Kim, Daniel Min. Nearly Euclidean Thurston Maps and the Halfspace Theorem.

Degree: MS, Mathematics, 2016, Virginia Tech

URL: http://hdl.handle.net/10919/73446

► A Thurston map whose postcritical set consists of exactly four points and for which the local degree at each of its critical points is 2…
(more)

Subjects/Keywords: Nearly Euclidean Thurston maps; half-space theorem

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APA (6^{th} Edition):

Kim, D. M. (2016). Nearly Euclidean Thurston Maps and the Halfspace Theorem. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/73446

Chicago Manual of Style (16^{th} Edition):

Kim, Daniel Min. “Nearly Euclidean Thurston Maps and the Halfspace Theorem.” 2016. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/73446.

MLA Handbook (7^{th} Edition):

Kim, Daniel Min. “Nearly Euclidean Thurston Maps and the Halfspace Theorem.” 2016. Web. 30 Sep 2020.

Vancouver:

Kim DM. Nearly Euclidean Thurston Maps and the Halfspace Theorem. [Internet] [Masters thesis]. Virginia Tech; 2016. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/73446.

Council of Science Editors:

Kim DM. Nearly Euclidean Thurston Maps and the Halfspace Theorem. [Masters Thesis]. Virginia Tech; 2016. Available from: http://hdl.handle.net/10919/73446

Virginia Tech

5. Jarvis, Christopher Hunter. Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition.

Degree: MS, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/31580

► In this thesis we conduct a numerical study of the 1D viscous Burgers' equation and several Reduced Order Models (ROMs) over a range of parameter…
(more)

Subjects/Keywords: Reduced Order Model; Proper Orthogonal Decomposition; Sensitivity

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APA (6^{th} Edition):

Jarvis, C. H. (2012). Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/31580

Chicago Manual of Style (16^{th} Edition):

Jarvis, Christopher Hunter. “Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition.” 2012. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/31580.

MLA Handbook (7^{th} Edition):

Jarvis, Christopher Hunter. “Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition.” 2012. Web. 30 Sep 2020.

Vancouver:

Jarvis CH. Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition. [Internet] [Masters thesis]. Virginia Tech; 2012. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/31580.

Council of Science Editors:

Jarvis CH. Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition. [Masters Thesis]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/31580

Virginia Tech

6. Marx, Gregory. The Complete Pick Property and Reproducing Kernel Hilbert Spaces.

Degree: MS, Mathematics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/24783

► We present two approaches towards a characterization of the complete Pick property. We first discuss the lurking isometry method used in a paper by J.A.…
(more)

Subjects/Keywords: positive kernel; interpolation; multipliers; one-step extension; lurking isometry

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APA (6^{th} Edition):

Marx, G. (2014). The Complete Pick Property and Reproducing Kernel Hilbert Spaces. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/24783

Chicago Manual of Style (16^{th} Edition):

Marx, Gregory. “The Complete Pick Property and Reproducing Kernel Hilbert Spaces.” 2014. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/24783.

MLA Handbook (7^{th} Edition):

Marx, Gregory. “The Complete Pick Property and Reproducing Kernel Hilbert Spaces.” 2014. Web. 30 Sep 2020.

Vancouver:

Marx G. The Complete Pick Property and Reproducing Kernel Hilbert Spaces. [Internet] [Masters thesis]. Virginia Tech; 2014. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/24783.

Council of Science Editors:

Marx G. The Complete Pick Property and Reproducing Kernel Hilbert Spaces. [Masters Thesis]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/24783

Virginia Tech

7. Magruder, Caleb Clarke III. Model Reduction of Linear Time-Periodic Dynamical Systems.

Degree: MS, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/23112

► Few model reduction techniques exist for dynamical systems whose parameters vary with time. We have particular interest here in linear time-periodic dynamical systems; we seek…
(more)

Subjects/Keywords: Model Reduction; Time-varying Systems

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APA (6^{th} Edition):

Magruder, C. C. I. (2013). Model Reduction of Linear Time-Periodic Dynamical Systems. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/23112

Chicago Manual of Style (16^{th} Edition):

Magruder, Caleb Clarke III. “Model Reduction of Linear Time-Periodic Dynamical Systems.” 2013. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/23112.

MLA Handbook (7^{th} Edition):

Magruder, Caleb Clarke III. “Model Reduction of Linear Time-Periodic Dynamical Systems.” 2013. Web. 30 Sep 2020.

Vancouver:

Magruder CCI. Model Reduction of Linear Time-Periodic Dynamical Systems. [Internet] [Masters thesis]. Virginia Tech; 2013. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/23112.

Council of Science Editors:

Magruder CCI. Model Reduction of Linear Time-Periodic Dynamical Systems. [Masters Thesis]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/23112

Virginia Tech

8. Storms, Rebecah Helen. Spectra of Periodic Schrödinger Operators on the Octagonal Lattice.

Degree: MS, Mathematics, 2020, Virginia Tech

URL: http://hdl.handle.net/10919/99147

► In quantum physics, we would like the capability to model environments, such as magnetic fields, that interact with electrons or other quantum entities. The fields…
(more)

Subjects/Keywords: Spectral Theory; Schrödinger Operator; Periodic Graphs

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APA (6^{th} Edition):

Storms, R. H. (2020). Spectra of Periodic Schrödinger Operators on the Octagonal Lattice. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/99147

Chicago Manual of Style (16^{th} Edition):

Storms, Rebecah Helen. “Spectra of Periodic Schrödinger Operators on the Octagonal Lattice.” 2020. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/99147.

MLA Handbook (7^{th} Edition):

Storms, Rebecah Helen. “Spectra of Periodic Schrödinger Operators on the Octagonal Lattice.” 2020. Web. 30 Sep 2020.

Vancouver:

Storms RH. Spectra of Periodic Schrödinger Operators on the Octagonal Lattice. [Internet] [Masters thesis]. Virginia Tech; 2020. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/99147.

Council of Science Editors:

Storms RH. Spectra of Periodic Schrödinger Operators on the Octagonal Lattice. [Masters Thesis]. Virginia Tech; 2020. Available from: http://hdl.handle.net/10919/99147

Virginia Tech

9. Wilkerson, Mary. Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27581

► Combinatorial methods are utilized to examine preimage iterations of topologically glued polynomials. In particular, this paper addresses using finite subdivision rules and Hubbard trees as…
(more)

Subjects/Keywords: Combinatorial Dynamics; Hubbard Trees; Matings; Finite Subdivision Rules

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APA (6^{th} Edition):

Wilkerson, M. (2012). Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27581

Chicago Manual of Style (16^{th} Edition):

Wilkerson, Mary. “Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions.” 2012. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/27581.

MLA Handbook (7^{th} Edition):

Wilkerson, Mary. “Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions.” 2012. Web. 30 Sep 2020.

Vancouver:

Wilkerson M. Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/27581.

Council of Science Editors:

Wilkerson M. Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27581

Virginia Tech

10. Ordonez-Delgado, Bartleby. An Embedded Toeplitz Problem.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/29007

► In this work we investigate multi-variable Toeplitz operators and their relationship with KK-theory in order to apply this relationship to define and analyze embedded Toeplitz…
(more)

Subjects/Keywords: Index Theory; KK-Theory; Toeplitz operators

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APA (6^{th} Edition):

Ordonez-Delgado, B. (2010). An Embedded Toeplitz Problem. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29007

Chicago Manual of Style (16^{th} Edition):

Ordonez-Delgado, Bartleby. “An Embedded Toeplitz Problem.” 2010. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/29007.

MLA Handbook (7^{th} Edition):

Ordonez-Delgado, Bartleby. “An Embedded Toeplitz Problem.” 2010. Web. 30 Sep 2020.

Vancouver:

Ordonez-Delgado B. An Embedded Toeplitz Problem. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/29007.

Council of Science Editors:

Ordonez-Delgado B. An Embedded Toeplitz Problem. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/29007

Virginia Tech

11. Arnold, Rachel Florence. The Discrete Hodge Star Operator and PoincarÃ© Duality.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27485

► This dissertation is a uniï¬ cation of an analysis-based approach and the traditional topological-based approach to PoincarÃ© duality. We examine the role of the discrete…
(more)

Subjects/Keywords: Cell Complex; Cubical Whitney Forms; PoincarÃ© Duality; Discrete Hodge Star

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APA (6^{th} Edition):

Arnold, R. F. (2012). The Discrete Hodge Star Operator and PoincarÃ© Duality. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27485

Chicago Manual of Style (16^{th} Edition):

Arnold, Rachel Florence. “The Discrete Hodge Star Operator and PoincarÃ© Duality.” 2012. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/27485.

MLA Handbook (7^{th} Edition):

Arnold, Rachel Florence. “The Discrete Hodge Star Operator and PoincarÃ© Duality.” 2012. Web. 30 Sep 2020.

Vancouver:

Arnold RF. The Discrete Hodge Star Operator and PoincarÃ© Duality. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/27485.

Council of Science Editors:

Arnold RF. The Discrete Hodge Star Operator and PoincarÃ© Duality. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27485

Virginia Tech

12. Eastridge, Samuel Vance. First Cohomology of Some Infinitely Generated Groups.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77517

► The goal of this paper is to explore the first cohomology group of groups G that are not necessarily finitely generated. Our focus is on…
(more)

Subjects/Keywords: Group Cohomology; Uncountable; Locally Finite

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APA (6^{th} Edition):

Eastridge, S. V. (2017). First Cohomology of Some Infinitely Generated Groups. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77517

Chicago Manual of Style (16^{th} Edition):

Eastridge, Samuel Vance. “First Cohomology of Some Infinitely Generated Groups.” 2017. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/77517.

MLA Handbook (7^{th} Edition):

Eastridge, Samuel Vance. “First Cohomology of Some Infinitely Generated Groups.” 2017. Web. 30 Sep 2020.

Vancouver:

Eastridge SV. First Cohomology of Some Infinitely Generated Groups. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/77517.

Council of Science Editors:

Eastridge SV. First Cohomology of Some Infinitely Generated Groups. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77517

Virginia Tech

13. Marx, Gregory. Noncommutative Kernels.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/78353

► Positive kernels and their associated reproducing kernel Hilbert spaces have played a key role in the development of complex analysis and Hilbert-space operator theory, and…
(more)

Subjects/Keywords: Noncommutative kernels; noncommutative functions; uniformly bounded kernels; completely positive kernels; completely positive maps; completely bounded maps; Hilbert C*-modules; Hilbert W*-modules

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APA (6^{th} Edition):

Marx, G. (2017). Noncommutative Kernels. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/78353

Chicago Manual of Style (16^{th} Edition):

Marx, Gregory. “Noncommutative Kernels.” 2017. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/78353.

MLA Handbook (7^{th} Edition):

Marx, Gregory. “Noncommutative Kernels.” 2017. Web. 30 Sep 2020.

Vancouver:

Marx G. Noncommutative Kernels. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/78353.

Council of Science Editors:

Marx G. Noncommutative Kernels. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/78353

Virginia Tech

14. Burris, Christina Suzann. Analytic Combinatorics Applied to RNA Structures.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83888

► Ribonucleic acid (RNA), similar in composition to well-known DNA, plays a myriad of roles within the cell. The major distinction between DNA and RNA is…
(more)

Subjects/Keywords: RNA structures; fatgraphs; Analytic Combinatorics

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APA (6^{th} Edition):

Burris, C. S. (2018). Analytic Combinatorics Applied to RNA Structures. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83888

Chicago Manual of Style (16^{th} Edition):

Burris, Christina Suzann. “Analytic Combinatorics Applied to RNA Structures.” 2018. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/83888.

MLA Handbook (7^{th} Edition):

Burris, Christina Suzann. “Analytic Combinatorics Applied to RNA Structures.” 2018. Web. 30 Sep 2020.

Vancouver:

Burris CS. Analytic Combinatorics Applied to RNA Structures. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/83888.

Council of Science Editors:

Burris CS. Analytic Combinatorics Applied to RNA Structures. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83888

Virginia Tech

15. Roinestad, Kristine A. Geometry of Fractal Squares.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/26883

► This paper will examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised…
(more)

Subjects/Keywords: Self-Similarity; Bilipschitz Equivalences; Fractal Squares; Cantor Sets

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APA (6^{th} Edition):

Roinestad, K. A. (2010). Geometry of Fractal Squares. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26883

Chicago Manual of Style (16^{th} Edition):

Roinestad, Kristine A. “Geometry of Fractal Squares.” 2010. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/26883.

MLA Handbook (7^{th} Edition):

Roinestad, Kristine A. “Geometry of Fractal Squares.” 2010. Web. 30 Sep 2020.

Vancouver:

Roinestad KA. Geometry of Fractal Squares. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/26883.

Council of Science Editors:

Roinestad KA. Geometry of Fractal Squares. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/26883

16. May, Thomas Joseph. Minimally Corrective, Approximately Recovering Priors to Correct Expert Judgement in Bayesian Parameter Estimation.

Degree: MS, Mathematics, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/54593

► Bayesian parameter estimation is a popular method to address inverse problems. However, since prior distributions are chosen based on expert judgement, the method can inherently…
(more)

Subjects/Keywords: Bayesian Parameter Estimation; Minimally Corrective Priors; Distributed Parameters; Elliptic Equation; Karhunen-Loeve Theorem.

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APA (6^{th} Edition):

May, T. J. (2015). Minimally Corrective, Approximately Recovering Priors to Correct Expert Judgement in Bayesian Parameter Estimation. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/54593

Chicago Manual of Style (16^{th} Edition):

May, Thomas Joseph. “Minimally Corrective, Approximately Recovering Priors to Correct Expert Judgement in Bayesian Parameter Estimation.” 2015. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/54593.

MLA Handbook (7^{th} Edition):

May, Thomas Joseph. “Minimally Corrective, Approximately Recovering Priors to Correct Expert Judgement in Bayesian Parameter Estimation.” 2015. Web. 30 Sep 2020.

Vancouver:

May TJ. Minimally Corrective, Approximately Recovering Priors to Correct Expert Judgement in Bayesian Parameter Estimation. [Internet] [Masters thesis]. Virginia Tech; 2015. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/54593.

Council of Science Editors:

May TJ. Minimally Corrective, Approximately Recovering Priors to Correct Expert Judgement in Bayesian Parameter Estimation. [Masters Thesis]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/54593

17. Friedman, Alexander Daniel. Various Approaches to the Stochastic K-Server and Stacker-Crane Problems.

Degree: MS, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/78285

► In recent years there has been a trend towards large-scale logistics for individual members of the public, such as ride-sharing services and drone package delivery.…
(more)

Subjects/Keywords: K-Server Problem; Stacker-Crane Problem; K-Median; Zoning Algorithm; Probabilistic Hyperoctree; Voronoi Simplicial Decomposition

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APA (6^{th} Edition):

Friedman, A. D. (2017). Various Approaches to the Stochastic K-Server and Stacker-Crane Problems. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/78285

Chicago Manual of Style (16^{th} Edition):

Friedman, Alexander Daniel. “Various Approaches to the Stochastic K-Server and Stacker-Crane Problems.” 2017. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/78285.

MLA Handbook (7^{th} Edition):

Friedman, Alexander Daniel. “Various Approaches to the Stochastic K-Server and Stacker-Crane Problems.” 2017. Web. 30 Sep 2020.

Vancouver:

Friedman AD. Various Approaches to the Stochastic K-Server and Stacker-Crane Problems. [Internet] [Masters thesis]. Virginia Tech; 2017. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/78285.

Council of Science Editors:

Friedman AD. Various Approaches to the Stochastic K-Server and Stacker-Crane Problems. [Masters Thesis]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/78285

Virginia Tech

18. Vasavada, Yash M. An Iterative Confidence Passing Approach for Parameter Estimation and Its Applications to MIMO Systems.

Degree: PhD, Electrical and Computer Engineering, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/28192

► This dissertation proposes an iterative confidence passing (ICP) approach for parameter estimation. The dissertation describes three different algorithms that follow from this ICP approach. These…
(more)

Subjects/Keywords: Probabilistic Inference; Beamforming; Optimum Diversity Combining; MMSE; Least Squares; Bayesian Belief Theory; Iterative Estimation

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APA (6^{th} Edition):

Vasavada, Y. M. (2012). An Iterative Confidence Passing Approach for Parameter Estimation and Its Applications to MIMO Systems. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28192

Chicago Manual of Style (16^{th} Edition):

Vasavada, Yash M. “An Iterative Confidence Passing Approach for Parameter Estimation and Its Applications to MIMO Systems.” 2012. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/28192.

MLA Handbook (7^{th} Edition):

Vasavada, Yash M. “An Iterative Confidence Passing Approach for Parameter Estimation and Its Applications to MIMO Systems.” 2012. Web. 30 Sep 2020.

Vancouver:

Vasavada YM. An Iterative Confidence Passing Approach for Parameter Estimation and Its Applications to MIMO Systems. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/28192.

Council of Science Editors:

Vasavada YM. An Iterative Confidence Passing Approach for Parameter Estimation and Its Applications to MIMO Systems. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/28192

Virginia Tech

19. Ahuja, Kapil. Recycling Krylov Subspaces and Preconditioners.

Degree: PhD, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/29539

► Science and engineering problems frequently require solving a sequence of single linear systems or a sequence of dual linear systems. We develop algorithms that recycle…
(more)

Subjects/Keywords: Variational Monte Carlo; Model reduction; Krylov subspace recycling; Updating preconditioners; Sequence of linear systems; Bi-Lanczos method; BiCG; Preconditioning

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APA (6^{th} Edition):

Ahuja, K. (2011). Recycling Krylov Subspaces and Preconditioners. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29539

Chicago Manual of Style (16^{th} Edition):

Ahuja, Kapil. “Recycling Krylov Subspaces and Preconditioners.” 2011. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/29539.

MLA Handbook (7^{th} Edition):

Ahuja, Kapil. “Recycling Krylov Subspaces and Preconditioners.” 2011. Web. 30 Sep 2020.

Vancouver:

Ahuja K. Recycling Krylov Subspaces and Preconditioners. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/29539.

Council of Science Editors:

Ahuja K. Recycling Krylov Subspaces and Preconditioners. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/29539

20. Welch, Amanda Renee. Characterizing Zero Divisors of Group Rings.

Degree: MS, Mathematics, 2015, Virginia Tech

URL: http://hdl.handle.net/10919/52949

► The Atiyah Conjecture originates from a paper written 40 years ago by Sir Michael Atiyah, a famous mathematician and Fields medalist. Since publication of the…
(more)

Subjects/Keywords: Prufer Group; zero divisors; group rings; p-groups

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APA (6^{th} Edition):

Welch, A. R. (2015). Characterizing Zero Divisors of Group Rings. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/52949

Chicago Manual of Style (16^{th} Edition):

Welch, Amanda Renee. “Characterizing Zero Divisors of Group Rings.” 2015. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/52949.

MLA Handbook (7^{th} Edition):

Welch, Amanda Renee. “Characterizing Zero Divisors of Group Rings.” 2015. Web. 30 Sep 2020.

Vancouver:

Welch AR. Characterizing Zero Divisors of Group Rings. [Internet] [Masters thesis]. Virginia Tech; 2015. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/52949.

Council of Science Editors:

Welch AR. Characterizing Zero Divisors of Group Rings. [Masters Thesis]. Virginia Tech; 2015. Available from: http://hdl.handle.net/10919/52949

Virginia Tech

21. Baber, Courtney Leigh. An Introduction to List Colorings of Graphs.

Degree: MS, Mathematics, 2009, Virginia Tech

URL: http://hdl.handle.net/10919/33484

► One of the most popular and useful areas of graph theory is graph colorings. A graph coloring is an assignment of integers to the vertices…
(more)

Subjects/Keywords: channel assignment problem; list coloring; graph

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APA (6^{th} Edition):

Baber, C. L. (2009). An Introduction to List Colorings of Graphs. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/33484

Chicago Manual of Style (16^{th} Edition):

Baber, Courtney Leigh. “An Introduction to List Colorings of Graphs.” 2009. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/33484.

MLA Handbook (7^{th} Edition):

Baber, Courtney Leigh. “An Introduction to List Colorings of Graphs.” 2009. Web. 30 Sep 2020.

Vancouver:

Baber CL. An Introduction to List Colorings of Graphs. [Internet] [Masters thesis]. Virginia Tech; 2009. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/33484.

Council of Science Editors:

Baber CL. An Introduction to List Colorings of Graphs. [Masters Thesis]. Virginia Tech; 2009. Available from: http://hdl.handle.net/10919/33484

Virginia Tech

22. Leamer, Micah J. Groebner Finite Path Algebras.

Degree: MS, Mathematics, 2004, Virginia Tech

URL: http://hdl.handle.net/10919/9998

► Let K be a field and Q a finite directed multi-graph. In this paper I classify all path algebras KQ and admissible orders with the…
(more)

Subjects/Keywords: Path Algebra; Groebner Basis; Groebner Bases

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APA (6^{th} Edition):

Leamer, M. J. (2004). Groebner Finite Path Algebras. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/9998

Chicago Manual of Style (16^{th} Edition):

Leamer, Micah J. “Groebner Finite Path Algebras.” 2004. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/9998.

MLA Handbook (7^{th} Edition):

Leamer, Micah J. “Groebner Finite Path Algebras.” 2004. Web. 30 Sep 2020.

Vancouver:

Leamer MJ. Groebner Finite Path Algebras. [Internet] [Masters thesis]. Virginia Tech; 2004. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/9998.

Council of Science Editors:

Leamer MJ. Groebner Finite Path Algebras. [Masters Thesis]. Virginia Tech; 2004. Available from: http://hdl.handle.net/10919/9998

Virginia Tech

23. Ordonez-Delgado, Bartleby. Algebras of Toeplitz Operators.

Degree: MS, Mathematics, 2006, Virginia Tech

URL: http://hdl.handle.net/10919/32378

► In this work we examine C*-algebras of Toeplitz operators over the unit ball in C^{n} and the unit polydisc in C^{2}. Toeplitz operators are interesting…
(more)

Subjects/Keywords: C*-algebras; Toeplitz operators

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APA (6^{th} Edition):

Ordonez-Delgado, B. (2006). Algebras of Toeplitz Operators. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32378

Chicago Manual of Style (16^{th} Edition):

Ordonez-Delgado, Bartleby. “Algebras of Toeplitz Operators.” 2006. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/32378.

MLA Handbook (7^{th} Edition):

Ordonez-Delgado, Bartleby. “Algebras of Toeplitz Operators.” 2006. Web. 30 Sep 2020.

Vancouver:

Ordonez-Delgado B. Algebras of Toeplitz Operators. [Internet] [Masters thesis]. Virginia Tech; 2006. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/32378.

Council of Science Editors:

Ordonez-Delgado B. Algebras of Toeplitz Operators. [Masters Thesis]. Virginia Tech; 2006. Available from: http://hdl.handle.net/10919/32378

Virginia Tech

24. Wise, Steven M. POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations.

Degree: MS, Mathematics, 1998, Virginia Tech

URL: http://hdl.handle.net/10919/36933

► Globally convergent, probability-one homotopy methods have proven to be very effective for finding all the isolated solutions to polynomial systems of equations. After many years…
(more)

Subjects/Keywords: Numerical Analysis; Homotopy Methods; Polynomial Systems of Equations; Zeros

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Wise, S. M. (1998). POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/36933

Chicago Manual of Style (16^{th} Edition):

Wise, Steven M. “POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations.” 1998. Masters Thesis, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/36933.

MLA Handbook (7^{th} Edition):

Wise, Steven M. “POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations.” 1998. Web. 30 Sep 2020.

Vancouver:

Wise SM. POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations. [Internet] [Masters thesis]. Virginia Tech; 1998. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/36933.

Council of Science Editors:

Wise SM. POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations. [Masters Thesis]. Virginia Tech; 1998. Available from: http://hdl.handle.net/10919/36933

Virginia Tech

25. Tripathi, Nishith D. Generic Adaptive Handoff Algorithms Using Fuzzy Logic and Neural Networks.

Degree: PhD, Electrical and Computer Engineering, 1997, Virginia Tech

URL: http://hdl.handle.net/10919/29267

► Efficient handoff algorithms cost-effectively enhance the capacity and Quality of Service (QoS) of cellular systems. This research presents novel approaches for the design of high…
(more)

Subjects/Keywords: Microcells; Macrocells; Neural Networks; Fuzzy Logic; Handoff Algorithms; Overlays; Soft Handoff

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APA (6^{th} Edition):

Tripathi, N. D. (1997). Generic Adaptive Handoff Algorithms Using Fuzzy Logic and Neural Networks. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29267

Chicago Manual of Style (16^{th} Edition):

Tripathi, Nishith D. “Generic Adaptive Handoff Algorithms Using Fuzzy Logic and Neural Networks.” 1997. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/29267.

MLA Handbook (7^{th} Edition):

Tripathi, Nishith D. “Generic Adaptive Handoff Algorithms Using Fuzzy Logic and Neural Networks.” 1997. Web. 30 Sep 2020.

Vancouver:

Tripathi ND. Generic Adaptive Handoff Algorithms Using Fuzzy Logic and Neural Networks. [Internet] [Doctoral dissertation]. Virginia Tech; 1997. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/29267.

Council of Science Editors:

Tripathi ND. Generic Adaptive Handoff Algorithms Using Fuzzy Logic and Neural Networks. [Doctoral Dissertation]. Virginia Tech; 1997. Available from: http://hdl.handle.net/10919/29267

Virginia Tech

26. Hoggard, John W. Accuracy of Computer Generated Approximations to Julia Sets.

Degree: PhD, Mathematics, 2000, Virginia Tech

URL: http://hdl.handle.net/10919/28647

► A Julia set for a complex function *f* is the set of all points in the complex plane where the iterates of *f* do not…
(more)

Subjects/Keywords: tangent; meromorphic; computer algorithms; polynomial Schwarzian derivative; Julia sets

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hoggard, J. W. (2000). Accuracy of Computer Generated Approximations to Julia Sets. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28647

Chicago Manual of Style (16^{th} Edition):

Hoggard, John W. “Accuracy of Computer Generated Approximations to Julia Sets.” 2000. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/28647.

MLA Handbook (7^{th} Edition):

Hoggard, John W. “Accuracy of Computer Generated Approximations to Julia Sets.” 2000. Web. 30 Sep 2020.

Vancouver:

Hoggard JW. Accuracy of Computer Generated Approximations to Julia Sets. [Internet] [Doctoral dissertation]. Virginia Tech; 2000. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/28647.

Council of Science Editors:

Hoggard JW. Accuracy of Computer Generated Approximations to Julia Sets. [Doctoral Dissertation]. Virginia Tech; 2000. Available from: http://hdl.handle.net/10919/28647

Virginia Tech

27. Buterakos, Lewis Allen. The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point.

Degree: PhD, Mathematics, 2003, Virginia Tech

URL: http://hdl.handle.net/10919/28703

► We consider a stochastic differential equation on a domain D in n-dimensional real space, where the associated dynamical system is linear, and D contains a…
(more)

Subjects/Keywords: repulsive stationary point; dynamical systems; asymptotics; random perturbations; stochastic differential equations

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APA (6^{th} Edition):

Buterakos, L. A. (2003). The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28703

Chicago Manual of Style (16^{th} Edition):

Buterakos, Lewis Allen. “The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point.” 2003. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/28703.

MLA Handbook (7^{th} Edition):

Buterakos, Lewis Allen. “The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point.” 2003. Web. 30 Sep 2020.

Vancouver:

Buterakos LA. The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point. [Internet] [Doctoral dissertation]. Virginia Tech; 2003. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/28703.

Council of Science Editors:

Buterakos LA. The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point. [Doctoral Dissertation]. Virginia Tech; 2003. Available from: http://hdl.handle.net/10919/28703

Virginia Tech

28. Hartman, Richard Donald. Optimal maneuver guidance with sensor line of sight constraint.

Degree: PhD, Aerospace and Ocean Engineering, 1992, Virginia Tech

URL: http://hdl.handle.net/10919/39435

► The problem of optimal guidance design for the low altitude, subsonic, vertical plane approach maneuver of an air vehicle constrained to maintain view of a…
(more)

Subjects/Keywords: Guidance systems (Flight) Mathematical models.; LD5655.V856 1992.H377

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APA (6^{th} Edition):

Hartman, R. D. (1992). Optimal maneuver guidance with sensor line of sight constraint. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/39435

Chicago Manual of Style (16^{th} Edition):

Hartman, Richard Donald. “Optimal maneuver guidance with sensor line of sight constraint.” 1992. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/39435.

MLA Handbook (7^{th} Edition):

Hartman, Richard Donald. “Optimal maneuver guidance with sensor line of sight constraint.” 1992. Web. 30 Sep 2020.

Vancouver:

Hartman RD. Optimal maneuver guidance with sensor line of sight constraint. [Internet] [Doctoral dissertation]. Virginia Tech; 1992. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/39435.

Council of Science Editors:

Hartman RD. Optimal maneuver guidance with sensor line of sight constraint. [Doctoral Dissertation]. Virginia Tech; 1992. Available from: http://hdl.handle.net/10919/39435

Virginia Tech

29. Flory, Isaac L. IV. High-Intensity Discharge Industrial Lighting Design Strategies for the Minimization of Energy Usage and Life-Cycle Cost.

Degree: PhD, Electrical and Computer Engineering, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/28930

► Worldwide, the electrical energy consumed by artificial lighting is second only to the amount consumed by electric machinery. Of the energy usage attributed to lighting…
(more)

Subjects/Keywords: optimization; model; maintenance; industrial; life-cycle cost; lighting application; energy usage; lighting

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Flory, I. L. I. (2008). High-Intensity Discharge Industrial Lighting Design Strategies for the Minimization of Energy Usage and Life-Cycle Cost. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28930

Chicago Manual of Style (16^{th} Edition):

Flory, Isaac L IV. “High-Intensity Discharge Industrial Lighting Design Strategies for the Minimization of Energy Usage and Life-Cycle Cost.” 2008. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/28930.

MLA Handbook (7^{th} Edition):

Flory, Isaac L IV. “High-Intensity Discharge Industrial Lighting Design Strategies for the Minimization of Energy Usage and Life-Cycle Cost.” 2008. Web. 30 Sep 2020.

Vancouver:

Flory ILI. High-Intensity Discharge Industrial Lighting Design Strategies for the Minimization of Energy Usage and Life-Cycle Cost. [Internet] [Doctoral dissertation]. Virginia Tech; 2008. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/28930.

Council of Science Editors:

Flory ILI. High-Intensity Discharge Industrial Lighting Design Strategies for the Minimization of Energy Usage and Life-Cycle Cost. [Doctoral Dissertation]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/28930

Virginia Tech

30. Joseph, Daniel Scott. Parameter Identification for the Preisach Model of Hysteresis.

Degree: PhD, Mathematics, 2001, Virginia Tech

URL: http://hdl.handle.net/10919/27295

► Hysteresis, defined as a rate independent memory effect, is a phenomenon that occurs in many physical systems. The effect is sometimes desired, sometimes a nuisance,…
(more)

Subjects/Keywords: Least squares; scalar model; Preisach measure

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Joseph, D. S. (2001). Parameter Identification for the Preisach Model of Hysteresis. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27295

Chicago Manual of Style (16^{th} Edition):

Joseph, Daniel Scott. “Parameter Identification for the Preisach Model of Hysteresis.” 2001. Doctoral Dissertation, Virginia Tech. Accessed September 30, 2020. http://hdl.handle.net/10919/27295.

MLA Handbook (7^{th} Edition):

Joseph, Daniel Scott. “Parameter Identification for the Preisach Model of Hysteresis.” 2001. Web. 30 Sep 2020.

Vancouver:

Joseph DS. Parameter Identification for the Preisach Model of Hysteresis. [Internet] [Doctoral dissertation]. Virginia Tech; 2001. [cited 2020 Sep 30]. Available from: http://hdl.handle.net/10919/27295.

Council of Science Editors:

Joseph DS. Parameter Identification for the Preisach Model of Hysteresis. [Doctoral Dissertation]. Virginia Tech; 2001. Available from: http://hdl.handle.net/10919/27295