Fliess Operator Representations Of Markov Jump Nonlinear Systems And Their Parallel Interconnections,
2018
University of Vermont
Fliess Operator Representations Of Markov Jump Nonlinear Systems And Their Parallel Interconnections, Luis A. Duffaut Espinosa, W. Steven Gray
Electrical & Computer Engineering Faculty Publications
This paper provides a Fliess operator representation for a class of continuous-time Markov jump nonlinear systems. This representation allows one to describe the parallel sum and product interconnections of such systems. The paper concludes by showing that all parallel interconnections preserves rationality when the component operators have rational generating series.
Nonlinear Coupled Effects In Nanomaterials,
2018
Wilfrid Laurier University
Nonlinear Coupled Effects In Nanomaterials, Sia Bhowmick
Theses and Dissertations (Comprehensive)
Materials at the nanoscale have different chemical, structural, and optoelectrical properties compared to their bulk counterparts. As a result, such materials, called nanomaterials, exhibit observable differences in certain physical phenomena. One such resulting phenomenon called the piezoelectric effect has played a crucial role in miniature self-powering electronic devices called nanogenerators which are fabricated by using nanostructures, such as nanowires, nanorods, and nanofilms. These devices are capable of harvesting electrical energy by inducing mechanical strain on the individual nanostructures. Electrical energy created in this manner does not have environmental limitations. In this thesis, important coupled effects, such as the nonlinear piezoelectric …
Comparing Two Thickened Cycles: A Generalization Of Spectral Inequalities,
2018
Oberlin College
Comparing Two Thickened Cycles: A Generalization Of Spectral Inequalities, Hannah E. Pieper
Honors Papers
Motivated by an effort to simplify the Watts-Strogatz model for small-world networks, we generalize a theorem concerning interlacing inequalities for the eigenvalues of the normalized Laplacians of two graphs differing by a single edge. Our generalization allows weighted edges and certain instances of self loops. These inequalities were first proved by Chen et. al in [2] but our argument generalizes the simplified argument given by Li in [8].
A Computational Introduction To Elliptic And Hyperelliptic Curve Cryptography,
2018
Oberlin College
A Computational Introduction To Elliptic And Hyperelliptic Curve Cryptography, Nicholas Wilcox
Honors Papers
At its core, cryptography relies on problems that are simple to construct but difficult to solve unless certain information (the “key”) is known. Many of these problems come from number theory and group theory. One method of obtaining groups from which to build cryptosystems is to define algebraic curves over finite fields and then derive a group structure from the set of points on those curves. This thesis serves as an exposition of Elliptic Curve Cryptography (ECC), preceded by a discussion of some basic cryptographic concepts and followed by a glance into one generalization of ECC: cryptosystems based on hyperelliptic …
International Students’ Expectations Of Information Literacy Instruction,
2018
Edith Cowan University
International Students’ Expectations Of Information Literacy Instruction, Nicole Johnston, Meggan Houlihan, Jodi Neindorf
Research outputs 2014 to 2021
This paper presents the findings of a case study that investigated international university students’ expectations and experiences of information literacy across two countries. The results from this case study provide insights that can be utilized by librarians working with international students, to plan and develop their information literacy instruction classes and programs. Armed with an awareness of what international students’ expectations and experiences with information literacy programs are, librarians can develop more meaningful instruction that better meets the information needs of international students. Moving beyond the pilot survey, the researchers aim to improve the survey instrument and collaborate with librarians …
Sparse Trees With A Given Degree Sequence,
2018
Georgia Southern University
Sparse Trees With A Given Degree Sequence, Ao Shen
College of Graduate Studies: Theses & Dissertations
In this thesis, we consider the properties of sparse trees and summarized a certain class of trees under some constraint (including with a given degree sequence, with given number of leaves, with given maximum degree, etc.) which have maximum Wiener index and the minimum number of subtrees at the same time. Wiener index is one of the most important topological indices in chemical graph theory. Steiner k�� Wiener index can be regarded as the generalization of Wiener index, when k = 2, Steiner Wiener index is the same as Wiener index. Steiner k�� Wiener index of a tree T is …
Ancient Cultures + High School Algebra = A Diverse Mathematical Approach,
2018
John Carroll University
Ancient Cultures + High School Algebra = A Diverse Mathematical Approach, Laryssa Byndas
Masters Essays
No abstract provided.
Using Geogebra To Explore Properties Of Circles In Euclidean Geometry,
2018
John Carroll University
Using Geogebra To Explore Properties Of Circles In Euclidean Geometry, Erin Hanna
Masters Essays
No abstract provided.
College Algebra Through Problem Solving (2018 Edition),
2018
CUNY Queensborough Community College
College Algebra Through Problem Solving (2018 Edition), Danielle Cifone, Karan Puri, Debra Masklanko, Ewa Dabkowska
Open Educational Resources
This is a self-contained, open educational resource (OER) textbook for college algebra. Students can use the book to learn concepts and work in the book themselves. Instructors can adapt the book for use in any college algebra course to facilitate active learning through problem solving. Additional resources such as classroom assessments and online/printable homework is available from the authors.
Multipliers Between Model Spaces,
2018
University of Richmond
Multipliers Between Model Spaces, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper we examine the multipliers from one model space to another.
Models For Decision-Making,
2018
CUNY La Guardia Community College
Models For Decision-Making, Steven Cosares
Open Educational Resources
No abstract provided.
Limits Of Julia Sets For Sums Of Power Maps And Polynomials,
2018
Butler University
Limits Of Julia Sets For Sums Of Power Maps And Polynomials, Micah Brame
Undergraduate Honors Thesis Collection
Suppose f_{n,c} is a complex-valued mapping of one complex variable given by f_{n,c}(z) = z^n + p(z) + c, where p is a polynomial such that p(0) = 0 and c is a complex parameter such that |c| < 1. We provide necessary and sufficient conditions that the geometric limit, as n approaches infinity, of the set of points that remain bounded under iteration by f_{n,c} is the disk of radius 1 centered at the origin.
On Comparability Of Bigrassmannian Permutations,
2018
Marquette University
On Comparability Of Bigrassmannian Permutations, John Engbers, Adam Hammett
Mathematics, Statistics and Computer Science Faculty Research and Publications
Let Sn and Gn denote the respective sets of ordinary and bigrassmannian (BG) permutations of order n, and let (Gn,≤) denote the Bruhat ordering permutation poset. We study the restricted poset (Bn,≤), first providing a simple criterion for comparability. This criterion is used to show that that the poset is connected, to enumerate the saturated chains between elements, and to enumerate the number of maximal elements below r fixed elements. It also quickly produces formulas for β(ω) (α(ω), respectively), the number of BG permutations weakly below (weakly above, respectively) a fixed ω ∈ B …
Finite Integration Method Using Chebyshev Polynomials For Solving Time-Dependent Linear Partial Differential Equations And Linear Fractional Order Differential Equations,
2018
Faculty of Science
Finite Integration Method Using Chebyshev Polynomials For Solving Time-Dependent Linear Partial Differential Equations And Linear Fractional Order Differential Equations, Arnont Saengsiritongchai
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we devise numerical algorithms base on the finite integration method (FIM) using Chebyshev polynomial to find numerical solutions of time-dependent linear partial differential equations and linear fractional order differential equations. The results show that for time-dependent linear partial differential equations, our algorithm gives a lot better accuracy than the traditional FIMs. Several examples illustrate that our algorithm for linear fractional order differential equations gives good approximate solution as well.
Numerical Modeling Of Capillary-Driven Flow In Open Microchannels: An Implication Of Optimized Wicking Fabric Design,
2018
Missouri University of Science and Technology
Numerical Modeling Of Capillary-Driven Flow In Open Microchannels: An Implication Of Optimized Wicking Fabric Design, Mehrad Gholizadeh Ansari
Masters Theses
"The use of microfluidics to transfer fluids without applying any exterior energy source is a promising technology in different fields of science and engineering due to their compactness, simplicity and cost-effective design. In geotechnical engineering, to increase the soil's strength, hydrophilic wicking fibers as type of microfluidics have been employed to transport and drain water out of soil spontaneously by taking advantage of natural capillary force without using any pumps or other auxiliary devices. The objective of this study is to understand the scientific mechanisms of the capability for wicking fiber to drain both gravity and capillary water out of …
Bipartite Field Theories And D-Brane Instantons,
2018
CUNY City College
Bipartite Field Theories And D-Brane Instantons, Sebastían Franco, Eduardo García-Valdecasas, Angel M. Uranga
Publications and Research
We study D-brane instantons in systems of D3-branes at toric CY 3-fold singularities. The instanton effect can be described as a backreaction modifying the geometry of the mirror configuration, in which the breaking of U(1) symmetries by the instanton translates into the recombination of gauge D-branes, which also directly generates the instanton-induced charged field theory operator. In this paper we describe the D-brane instanton backreaction in terms of a combinatorial operation in the bipartite dimer diagram of the original theory. Interestingly, the resulting theory is a general Bipartite Field Theory (BFT), defined by a bipartite graph tiling a general (possibly …
A Taylor Operation Method For Solutions Of Generalized Pantograph Type Delay Differential Equations,
2018
TÜBİTAK
A Taylor Operation Method For Solutions Of Generalized Pantograph Type Delay Differential Equations, Şuayi̇p Yüzbaşi, Nurbol Ismailov
Turkish Journal of Mathematics
In this paper, a new operational matrix method based on the Taylor polynomials is presented to solve generalized pantograph type delay differential equations. The method is based on operational matrices of integration and product for Taylor polynomials. These matrices are obtained by using the best approximation of function by the Taylor polynomials. The advantage of the method is that the method does not require collocation points. By using the proposed method, the generalized pantograph equation problem is reduced to a system of linear algebraic equations. The solving of this system gives the coefficients of our solution. Numerical examples are given …
A Generalization Of The Alexander Polynomial As An Application Of The Delta Derivative,
2018
TÜBİTAK
A Generalization Of The Alexander Polynomial As An Application Of The Delta Derivative, İsmet Altintaş, Kemal Taşköprü
Turkish Journal of Mathematics
In this paper, we define the delta derivative in the integer group ring and we show that the delta derivative is well defined on the free groups. We also define a polynomial invariant of oriented knot and link by carrying the delta derivative to the link group. Since the delta derivative is a generalization of the free derivative, this polynomial invariant called the delta polynomial is a generalization of the Alexander polynomial. In addition, we present a new polynomial called the difference polynomial of oriented knot and link, which is similar to the Alexander polynomial and is a special case …
On The Fekete--Szeg\"{O} Type Functionals For Starlike And Convex Functions,
2018
TÜBİTAK
On The Fekete--Szeg\"{O} Type Functionals For Starlike And Convex Functions, Pawel Zaprawa
Turkish Journal of Mathematics
In the paper we discuss two functionals of the Fekete--Szeg\"{o} type: $\Phi_f(\mu) = a_2 a_4-\mu a_3{}^2$ and $\Theta_f(\mu) = a_4-\mu a_2a_3$ for an analytic function $f(z) = z+a_2z^2+a_3z^3+\ldots$, $z\in\Delta$, ($\Delta = \{z\in\mathbb{C}: z
A Result On The Maximal Length Of Consecutive 0 Digits In $\Beta$-Expansions,
2018
TÜBİTAK
A Result On The Maximal Length Of Consecutive 0 Digits In $\Beta$-Expansions, Xiang Gao, Hui Hu, Zhihui Li
Turkish Journal of Mathematics
Let $\beta>1$ be a real number. For any $x\in[0,1]$, let $r_{n}(x,\beta)$ be the maximal length of consecutive zero digits in the first $n$ digits of the $\beta$-expansion of $x$. In this note, it is proved that for any $0
