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Articles 61 - 90 of 435
Full-Text Articles in Mathematics
Modularity And Boolean Network Decomposition, Matthew Wheeler
Modularity And Boolean Network Decomposition, Matthew Wheeler
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Canalization And Other Design Principles Of Gene Regulatory Networks, Claus Kadelka
Canalization And Other Design Principles Of Gene Regulatory Networks, Claus Kadelka
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Stochastic Models Of Zoonotic Avian Influenza With Multiple Hosts, Environmental Transmission, And Migration In The Natural Reservoir, Kaia Smith
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia, Prihantini Prihantini
On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia, Prihantini Prihantini
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Model-Free Identification Of Relevant Variables From Response Data, Alan Veliz-Cuba, David Murrugarra
Model-Free Identification Of Relevant Variables From Response Data, Alan Veliz-Cuba, David Murrugarra
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
One Iteration For The Second Boundary Condition For The Nonlinear One Dimensional Monge-Ampere Equation, Gerard Awanou
One Iteration For The Second Boundary Condition For The Nonlinear One Dimensional Monge-Ampere Equation, Gerard Awanou
Mathematics Colloquium Series
The design of lenses and mirrors, in free form i.e. with no a priori symmetry assumption, has a long list of applications including materials processing, energy concentrators, medicine, antennas, computing lithography, laser weapons, optical data storage, imaging etc. The design process can be reduced to solving a generalized Monge-Ampere equation where the unknown is a function with a convexity property and subject to a constraint that a generalized gradient maps a given domain onto a prescribed one. The latter type of constraint is known as second boundary condition. The model one dimensional Monge-Ampere equation is nonlinear in the first order …
P-36 The Delta-Crossing Number For Links, Zachary Duah
P-36 The Delta-Crossing Number For Links, Zachary Duah
Celebration of Research and Creative Scholarship
An m-component link is an embedding of m circles into 3-dimensional space; a 1-component link is called a knot. The diagram for a link may be drawn so that all crossings occur within delta tangles, collections of three crossings as appear in a delta move. The delta crossing number is defined to be the minimal number of delta tangles in such a diagram. The delta crossing number has been well-studied for knots but not for links with multiple components. Using bounds we determine the delta crossing number for several 2-component links with up to 8 crossings as well as for …
P-37 Self And Mixed Delta Moves On Algebraically Split Links, Justyce Goode, Davielle Smith, Yamil Kas-Danouche, Devin Garcia, Anthony Bosman
P-37 Self And Mixed Delta Moves On Algebraically Split Links, Justyce Goode, Davielle Smith, Yamil Kas-Danouche, Devin Garcia, Anthony Bosman
Celebration of Research and Creative Scholarship
A link is an embedding of circles into 3-dimensional space. A Delta-move is a local move on a link diagram. The Delta-Gordian distance between links measures the minimum number of Delta-moves needed to move between link diagrams. We place restrictions on the Delta-move by either requiring the move to only involve a single component of the link, called a self Delta-move, or multiple components of the link, called a mixed Delta-move. We prove a number of results on how (mixed/self) Delta-moves relate to classical link invariants including the Arf invariant and crossing number. This allows us to produce a graph …
On The Linear Independence Of Finite Gabor And Wavelet Systems, Abdelkrim Bourouihiya
On The Linear Independence Of Finite Gabor And Wavelet Systems, Abdelkrim Bourouihiya
Mathematics Colloquium Series
Gabor and Wavelet Systems are some of the most important families of integrable functions with great potential in applications. Those applications include numerical analysis, signal processing (sound, images), and many other areas of physics and engineering. In this talk, we will present some partial results on a conjecture that states each finite Gabor system is linearly independent. We will also present cases of linearly independent and cases of linearly dependent finite wavelet systems.
Proving Dirichlet's Theorem On Arithmetic Progressions, Owen T. Abma
Proving Dirichlet's Theorem On Arithmetic Progressions, Owen T. Abma
Undergraduate Student Research Internships Conference
First proved by German mathematician Dirichlet in 1837, this important theorem states that for coprime integers a, m, there are an infinite number of primes p such that p = a (mod m). This is one of many extensions of Euclid’s theorem that there are infinitely many prime numbers. In this paper, we will formulate a rather elegant proof of Dirichlet’s theorem using ideas from complex analysis and group theory.
Mathspark: Sparking Student Curiosity Through Hands-On, Inquiry-Based Mathematics Explorations Inspired By Funds Of Knowledge, Katrina Baha, Kaliyah Clyde, Mikaela Morris, Perla Myers Phd, Amanda Ruiz Phd
Mathspark: Sparking Student Curiosity Through Hands-On, Inquiry-Based Mathematics Explorations Inspired By Funds Of Knowledge, Katrina Baha, Kaliyah Clyde, Mikaela Morris, Perla Myers Phd, Amanda Ruiz Phd
Research Month
Abstract: Much of the existing research focuses on the questions teachers ask students, but there is very little information about the questions students ask. The main purpose of this research was to explore ways to engage students in asking their own questions in the learning of mathematics, and to create a scale to help educators categorize the types of questions students ask. We created and used inquiry-based, funds of knowledge-rich lessons with productive struggle opportunities to promote curiosity (Calleja, 2016) and elicit student questions to develop and test our question categorization scale.
Solving Partial Differential Equations Using The Finite Difference Method And The Fourier Spectral Method, Jenna Siobhan Parkinson
Solving Partial Differential Equations Using The Finite Difference Method And The Fourier Spectral Method, Jenna Siobhan Parkinson
Undergraduate Student Research Internships Conference
This paper discusses the finite difference method and the Fourier spectral method for solving partial differential equations.
Left-Separation Of Ω1, Lukas Stuelke, Adrienne Stanley Ph.D.
Left-Separation Of Ω1, Lukas Stuelke, Adrienne Stanley Ph.D.
Summer Undergraduate Research Program (SURP) Symposium
A topological space is left-separated if it can be well-ordered so that every initial segment is closed. Here, we show that all countable ordinal numbers are left-separated. We then prove that a similar method could not work for ω1 , using the pressing-down lemma1 . We finish by showing that a left-separating well-ordering on ω1 necessarily leads to a contradiction.
Rendezvous Numbers Of Compact And Connected Spaces, Kevin Demler, Bill Wood Ph.D.
Rendezvous Numbers Of Compact And Connected Spaces, Kevin Demler, Bill Wood Ph.D.
Summer Undergraduate Research Program (SURP) Symposium
The concept of a rendezvous number was originally developed by O. Gross in 1964, and was expanded upon greatly by J. Cleary, S. Morris, and D. Yost in 1986. This number exists for every metric space, yet very little is known about it, and it’s exact value for most spaces is not known. Furthermore, it’s exact value is difficult to calculate, and in most cases we can only find bounds for the value. We focused on their arguments using convexity and applied it to shapes in different metrics and graphs. Using sets of points that stood out (vertices, midpoints) as …
Using Graph Theoretical Methods And Traceroute To Visually Represent Hidden Networks, Jordan M. Sahs
Using Graph Theoretical Methods And Traceroute To Visually Represent Hidden Networks, Jordan M. Sahs
UNO Student Research and Creative Activity Fair
Within the scope of a Wide Area Network (WAN), a large geographical communication network in which a collection of networking devices communicate data to each other, an example being the spanning communication network, known as the Internet, around continents. Within WANs exists a collection of Routers that transfer network packets to other devices. An issue pertinent to WANs is their immeasurable size and density, as we are not sure of the amount, or the scope, of all the devices that exists within the network. By tracing the routes and transits of data that traverses within the WAN, we can identify …
Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs
Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs
UNO Student Research and Creative Activity Fair
The University of Omaha math department's Problem of the Week was taken over in Fall 2019 from faculty by the authors. The structure: each semester (Fall and Spring), three problems are given per week for twelve weeks, with each problem worth ten points - mimicking the structure of arguably the most well-regarded university math competition around, the Putnam Competition, with prizes awarded to top-scorers at semester's end. The weekly competition was halted midway through Spring 2020 due to COVID-19, but relaunched again in Fall 2021, with massive changes.
Now there are three difficulty tiers to POW problems, roughly corresponding to …
Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans
Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans
Biology and Medicine Through Mathematics Conference
No abstract provided.
Gene Drives And The Consequences Of Over-Suppression, Cole Butler
Gene Drives And The Consequences Of Over-Suppression, Cole Butler
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Model Of Immune-Inflammatory Response In Covid-19 Patients, Quiyana M. Murphy
Mathematical Model Of Immune-Inflammatory Response In Covid-19 Patients, Quiyana M. Murphy
Biology and Medicine Through Mathematics Conference
No abstract provided.
Estimating Glutamate Transporter Surface Density In Mouse Hippocampal Astrocytes, Anca R. Radulescu, Annalisa Scimemi
Estimating Glutamate Transporter Surface Density In Mouse Hippocampal Astrocytes, Anca R. Radulescu, Annalisa Scimemi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Optimal Time-Dependent Classification For Diagnostic Testing, Prajakta P. Bedekar, Paul Patrone, Anthony Kearsley
Optimal Time-Dependent Classification For Diagnostic Testing, Prajakta P. Bedekar, Paul Patrone, Anthony Kearsley
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Fractal Geometry For Hydrodynamics, Jonah Mears
A Fractal Geometry For Hydrodynamics, Jonah Mears
Scholars Day Conference
Experiments have shown that objects with uneven surfaces, such as golf balls, can have less drag than those with smooth surfaces. Since fractal surfaces appear naturally in other areas, it must be asked if they can produce less drag than a traditional surface and save energy. Little or no research as been conducted so far on this question. The purpose of this project is to see if fractal geometry can improve boat hull design by producing a hull with low friction.
A Novel Tcr Clustering Method For Sars-Cov-2 Epitopes, Naziba A. Nuha
A Novel Tcr Clustering Method For Sars-Cov-2 Epitopes, Naziba A. Nuha
Mathematics Colloquium Series
T-cell epitopes are peptides generated from antigens that are presented by MHC class I and class II molecules to T-cells. These epitopes are usually identified by T-cell receptors (TCRs) of CD4 T-cells which then causes transformation of CD4 T-cells to helper or regulatory T cells. Recently, there has been growing interest in the role of T cells and their involvement in various ailments including SARS-COV-2, cancer, autoimmune diseases and other infectious diseases. However, the mechanism of TCR epitope recognition by Tcell receptors (TCRs) of CD4 T-cells at a repertoire level is still not fully understood. In this project, we reviewed …
A Strange Attractor Of Primes, Alexander Hare
A Strange Attractor Of Primes, Alexander Hare
ONU Student Research Colloquium
The greatest prime factor sequences (GPF sequences), born at ONU in 2005, are integer sequences satisfying recursions in which every term is the greatest prime factor of a linear combination with positive integer coefficients of the preceding k terms (where k is the order of the sequence), possibly including a positive constant. The very first GPF sequence that was introduced satisfies the recursion x(n+1)=GPF(2*x(n)+1). In 2005 it was conjectured that no matter the seed, this particular GPF sequence enters the limit cycle (attractor) 3-7-5-11-23-47-19-13. In our current work, of a computational nature, we introduce the functions “depth” – where depth(n) …
Artsy Chaos: The Secret Life Of A Class Of Trigonometric Sums, Kaleb Swieringa, Joelena Brown, Rachael Harbaugh, Francis Nadolny
Artsy Chaos: The Secret Life Of A Class Of Trigonometric Sums, Kaleb Swieringa, Joelena Brown, Rachael Harbaugh, Francis Nadolny
ONU Student Research Colloquium
We start from classical trigonometric sums (of terms such as k^n*cos(k), k^n*sin(k) - where n is a positive integer). These classical sums allow fairly straightforward closed form representations. In our work we considered changing the arguments of the trigonometric factors to powers (so that they get replaced by cos(k^a) and sin(k^a) - for a positive real exponent that may or may not be an integer), while also introducing in any term of such a sum a "rotational" factor of the form omega^k, where "omega" is a complex number of modulus 1 (that may or may not be a root of …
A Weighted Probability Measure For Objects In Euclidean Space, Alessandro Xello
A Weighted Probability Measure For Objects In Euclidean Space, Alessandro Xello
Mathematics Colloquium Series
Since we were little kids, we developed our own sense dimension as a measure of some kind of extent. Whether it be length, width, or height, we intuitively understand how these features fit in the three-dimensional world we live in, and how to measure it. Nevertheless, mathematicians have found themselves dealing with objects, like fractals, and spaces, like R4 , that challenge our intuitive and self-developed definition of measure, to the point that it is not sufficient anymore. Lebesgue measure and Harsdorf measure for example are ways of assigning a measure to objects that belong to n-dimensional Euclidean spaces, in …
Impact Of Treatment Length On Individuals With Substance Use Disorders In Allegheny County, Cassie Dibenedetti, Kate Rosello
Impact Of Treatment Length On Individuals With Substance Use Disorders In Allegheny County, Cassie Dibenedetti, Kate Rosello
Undergraduate Research and Scholarship Symposium
Auberle social services is opening the Family Healing Center (FHC), a level 3.5 treatment program in Pittsburgh, PA that provides housing and 24-hour support for families struggling with opioid addiction. We partnered with Auberle to study characteristics of individuals receiving level 3.5 treatment and to determine whether longer treatment lengths correlate with fewer adverse outcomes. We obtained data from the Allegheny County Department of Human Services on 2,016 individuals admitted to level 3.5 treatment in 2019. The data included birth year, race, gender, admittance date, discharge date, and Children Youth and Family (CYF) incidents before and after treatment. We categorized …
Modeling And Simulation Of Microscopic Fibers In A Viscous Fluid, William Mitchell
Modeling And Simulation Of Microscopic Fibers In A Viscous Fluid, William Mitchell
Mathematics Colloquium Series
In biology, the movements of tiny structures often rely on the mechanical properties of long, thin tubes. For example, bacteria swim by rotating their flagella, and in cell division (mitosis) the two copies of the DNA must be pulled apart by microtubules. To understand these processes it is very tempting to take advantage of the large aspect ratio of the thin structures, for example by modeling them as one-dimensional curves rather than as more complicated objects with volume and surface area. This kind of shortcut saves a lot of work! I will describe one standard and widely used tool known …
Machine Learning In Support Of Student Success, Rachel Rucker
Machine Learning In Support Of Student Success, Rachel Rucker
Undergraduate Research Conference
Our goal is to predict whether a student will finish the semester on academic probation by mid-term using university data.
Survival Analysis, Darrell Charles
Survival Analysis, Darrell Charles
2022 Student Academic Showcase
Survival analysis is a branch of statistics used by engineers to estimate the reliability of some mechanical system before it ultimately fails. In particular, survival analysis is used to estimate the lifespan of consumer goods. Previous efforts have studied the estimated lifespan of civilian vehicles based on a set of common attributes. In this preliminary report, we focus on the American market over 1990-2020. For our study, the variables of interest are the manufacturer, body type, number of owners, mileage, and age of the vehicle.