Math Escape Rooms: A Novel Approach For Engaging Learners In Math Circles, 2021 University of Nebraska at Omaha

#### Math Escape Rooms: A Novel Approach For Engaging Learners In Math Circles, Janice F. Rech, Paula Jakopovic, Hannah Seidl, Greg Lawson, Rachel Pugh

*Journal of Math Circles*

Engaging middle and high school students in Math Circles requires time, planning and creativity. Finding novel approaches to maintain the interest of a variety of learners can be challenging. This paper outlines a model for developing and implementing math escape rooms as a unique structure for facilitating collaborative problem solving in a Math Circle. These escape rooms were designed and hosted by undergraduate secondary mathematics education majors. We provide possible structures for hosting escape rooms that could translate to a range of settings, as well as reflections and lessons learned through our experiences that could inform practitioners in other settings.

Wild Randomness And The Application Of Hyperbolic Diffusion In Financial Modelling, 2021 Memorial University of Newfoundland, St Johns, NL A1C 5S7, Canada

#### Wild Randomness And The Application Of Hyperbolic Diffusion In Financial Modelling, Will Hicks

*Journal of Stochastic Analysis*

No abstract provided.

An Efficient Algorithm To Test Potential Bipartiteness Of Graphical Degree Sequences, 2021 Georgia Southern University

#### An Efficient Algorithm To Test Potential Bipartiteness Of Graphical Degree Sequences, Kai Wang

*Theory and Applications of Graphs*

As a partial answer to a question of Rao, a deterministic and customizable efficient algorithm is presented to test whether an arbitrary graphical degree sequence has a bipartite realization. The algorithm can be configured to run in polynomial time, at the expense of possibly producing an erroneous output on some ``yes'' instances but with very low error rate.

Towards A General Framework For Practical Quantum Network Protocols, 2021 Louisiana State University and Agricultural and Mechanical College

#### Towards A General Framework For Practical Quantum Network Protocols, Sumeet Khatri

*LSU Doctoral Dissertations*

The quantum internet is one of the frontiers of quantum information science. It will revolutionize the way we communicate and do other tasks, and it will allow for tasks that are not possible using the current, classical internet. The backbone of a quantum internet is entanglement distributed globally in order to allow for such novel applications to be performed over long distances. Experimental progress is currently being made to realize quantum networks on a small scale, but much theoretical work is still needed in order to understand how best to distribute entanglement and to guide the realization of large-scale quantum ...

Linear Decomposition And Anticipating Integral For Certain Random Variables, 2021 National Taitung University, No 369, University Road, Sec. 2, Taitung, Taiwan

#### Linear Decomposition And Anticipating Integral For Certain Random Variables, Ching-Tang Wu, Ju-Yi Yen

*Journal of Stochastic Analysis*

No abstract provided.

Oer Curve Fitting Applied To Easter Island Stone Foundations, 2021 Pittsburg State University

#### Oer Curve Fitting Applied To Easter Island Stone Foundations, Cynthia Huffman Ph.D.

*Faculty Submissions*

In this activity, curve fitting is applied to drone pictures of ruins of stone foundations of the traditional houses (hare paenga) on the island of Rapa Nui. The free mathematics application GeoGebra (geogebra.org) is used, but the activity can be adapted to other technology, such as Desmos (desmos.com). The activity can be used as a teacher demonstration or completed by students, individually or in small groups, with access to computers.

I Principii Di Geometria Logicamente Esposti, 2021 Livre de Lyon

#### I Principii Di Geometria Logicamente Esposti, Giuseppe Peano

*Science and Mathematical Science*

No abstract provided.

Continuous-Time Controlled Branching Processes, 2021 University of Extremadura, Spain

#### Continuous-Time Controlled Branching Processes, Ines Garcia, George Yanev, Manuel Molina, Nikolay Yanev, Miguel Velasco

*Mathematical and Statistical Sciences Faculty Publications and Presentations*

Controlled branching processes with continuous time are introduced and limiting distributions are obtained in the critical case. An extension of this class as regenerative controlled branching processes with continuous time is proposed and some asymptotic properties are considered.

Group Theory Visualized Through The Rubik's Cube, 2021 Portland State University

#### Group Theory Visualized Through The Rubik's Cube, Ashlyn Okamoto

*University Honors Theses*

In my thesis, I describe the work done to implement several Group Theory concepts in the context of the Rubik’s cube. A simulation of the cube was constructed using Processing-Java and with help from a YouTube series done by TheCodingTrain. I reflect on the struggles and difficulties that came with creating this program along with the inspiration behind the project. The concepts that are currently implemented at this time are: Identity, Associativity, Order, and Inverses. The functionality of the cube is described as it moves like a regular cube but has extra keypresses that demonstrate the concepts listed. Each ...

Beryllium-Specific Cd4+ T Cells Induced By Chemokine Neoantigens Perpetuate Inflammation, 2021 University of Colorado Anschutz Medical Campus

#### Beryllium-Specific Cd4+ T Cells Induced By Chemokine Neoantigens Perpetuate Inflammation, Michael T. Falta, Jeremy C. Crawford, Alex N. Tinega, Laurie G. Landry, Frances Crawford, Douglas G. Mack, Allison K. Martin, Shaikh M. Atif, Li Li, Radleigh Santos, Maki Nakayama, John W. Kappler, Lisa A. Maier, Paul G. Thomas, Clemencia Pinilla, Andrew Fontenot

*Mathematics Faculty Articles*

Discovering dominant epitopes for T cells, particularly CD4^{+ }T cells, in human immune-mediated diseases remains a significant challenge. Here, we used bronchoalveolar lavage (BAL) cells from HLA-DP2-expressing patients with chronic beryllium disease (CBD), a debilitating granulomatous lung disorder characterized by accumulations of beryllium (Be)-specific CD4^{+} T cells in the lung. We discovered lung resident CD4^{+} T cells that expressed a disease-specific public CDR3β T cell receptor motif and were specific to Be-modified self-peptides derived from C-C motif ligands 4 (CCL4) and 3 (CCL3). HLA-DP2-CCL/Be tetramer staining confirmed that these chemokine-derived peptides represented major antigenic targets in CBD. Furthermore ...

C5 Is Almost A Fractalizer, 2021 Iowa State University

#### C5 Is Almost A Fractalizer, Bernard Lidicky, Connor Mattes, Florian Pfender

*Mathematics Publications*

We determine the maximum number of induced copies of a 5-cycle in a graph on n vertices for every n. Every extremal construction is a balanced iterated blow-up of the 5-cycle with the possible exception of the smallest level where for n=8, the Möbius ladder achieves the same number of induced 5-cycles as the blow-up of a 5-cycle on 8 vertices.

This result completes work of Balogh, Hu, Lidický, and Pfender [Eur. J. Comb. 52 (2016)] who proved an asymptotic version of the result. Similarly to their result, we also use the flag algebra method but we extend its ...

Configurations And Knot Types Of Random Cylindrical Knots Used To Model Knotting In Extreme Confinement (Dataset), 2021 Western Kentucky University

#### Configurations And Knot Types Of Random Cylindrical Knots Used To Model Knotting In Extreme Confinement (Dataset), Claus Ernst, Uta Ziegler, Eric J. Rawdon

*Mathematics Faculty Publications & Data*

This data set consists of knot configurations (which are designed to model knotting in extreme confinement) and their corresponding knot types. The configurations lie within a cylinder with radius one and height one, with vertices alternating between the top and bottom disks. The vertices are chosen uniformly with respect to area on the endcap disks. Due to this construction, the set of knot types is independent of radius or height in the construction. In particular, given one such configuration, the act of stretching/shrinking the cylinder radius and/or height does not pass edges through each other. Thus, the knot ...

First Exit-Time Analysis For An Approximate Barndorff-Nielsen And Shephard Model With Stationary Self-Decomposable Variance Process, 2021 North Dakota State University, Fargo, North Dakota 58108-6050, USA

#### First Exit-Time Analysis For An Approximate Barndorff-Nielsen And Shephard Model With Stationary Self-Decomposable Variance Process, Shantanu Awasthi, Indranil Sengupta

*Journal of Stochastic Analysis*

No abstract provided.

Nilpotent Graph, 2021 Tezpur University, India

#### Nilpotent Graph, Dhiren Kumar Basnet, Ajay Sharma, Rahul Dutta

*Theory and Applications of Graphs*

In this article, we introduce the concept of nilpotent graph of a finite commutative ring. The set of all non nilpotent elements of a ring is taken as the vertex set and two vertices are adjacent if and only if their sum is nilpotent. We discuss some graph theoretic properties of nilpotent graph.

Ground Snow Loads For Asce 7-22 – What Has Changed And Why?, 2021 University of Nebraska - Lincoln

#### Ground Snow Loads For Asce 7-22 – What Has Changed And Why?, Marc Maguire, Brennan Bean, James Harris, Abbie Liel, Scott Russell

*Mathematics and Statistics Faculty Publications*

The changes to the ASCE 7 ground snow load maps proposed for the 2022 edition target a uniform reliability rather than a uniform hazard – an important distinction – and are the first of their kind in ASCE 7. Previously, the ASCE 7 snow loads used a uniform-hazard 50-year mean recurrence interval (MRI) with a 1.6 load factor. The newly proposed loads directly target the safety levels stipulated in Chapter 1 of ASCE 7, resulting in a strength design level load that is to be used with a load factor of 1.0. This paper describes changes in design provisions that ...

Quantum Theories Associated To Increasing Hilbert Space Filtrations And Generalized Jacobi 3–Diagonal Relation, 2021 Università di Roma "Tor Vergata," via Columbia, 2, 00133 Roma, Italy

#### Quantum Theories Associated To Increasing Hilbert Space Filtrations And Generalized Jacobi 3–Diagonal Relation, Luigi Accardi, Yun Gang Lu

*Journal of Stochastic Analysis*

No abstract provided.

Rate Of Convergence In The Central Limit Theorem For Iid Pareto Variables, 2021 Hochschule RheinMain, 65022 Wiesbaden, Germany

#### Rate Of Convergence In The Central Limit Theorem For Iid Pareto Variables, Claas Becker, Manuel Bohnet, Sarah Kummert

*Journal of Stochastic Analysis*

No abstract provided.

The Integer-Antimagic Spectra Of Graphs With A Chord, 2021 San Jose State University

#### The Integer-Antimagic Spectra Of Graphs With A Chord, Richard M. Low, Dan Roberts, Jinze Zheng

*Theory and Applications of Graphs*

Let $A$ be a nontrival abelian group. A connected simple graph $G = (V, E)$ is $A$-antimagic if there exists an edge labeling $f: E(G) \to A \setminus \{0\}$ such that the induced vertex labeling $f^+: V(G) \to A$, defined by $f^+(v) = \sum_{uv\in E(G)}f(uv)$, is injective. The integer-antimagic spectrum of a graph $G$ is the set IAM$(G) = \{k\;|\; G \textnormal{ is } \mathbb{Z}_k\textnormal{-antimagic}$ $\textnormal{and } k \geq 2\}$. In this paper, we determine the integer-antimagic spectra for cycles with a chord, paths with a chord, and wheels with ...

Modeling The Effect Of Lockdown Timing As A Covid‑19 Control Measure In Countries With Differing Social Contacts, 2021 The University of Texas Rio Grande Valley

#### Modeling The Effect Of Lockdown Timing As A Covid‑19 Control Measure In Countries With Differing Social Contacts, Tamer Oraby, Michael G. Tyshenko, Jose Campo Maldonado, Kristina Vatcheva, Susie Elsaadany, Walid Q. Alali, Joseph C. Longenecker, Mustafa Al‑Zoughool

*Mathematical and Statistical Sciences Faculty Publications and Presentations*

The application, timing, and duration of lockdown strategies during a pandemic remain poorly quantified with regards to expected public health outcomes. Previous projection models have reached conflicting conclusions about the effect of complete lockdowns on COVID-19 outcomes. We developed a stochastic continuous-time Markov chain (CTMC) model with eight states including the environment (SEAMHQRD-V), and derived a formula for the basic reproduction number, R0, for that model. Applying the R 0 formula as a function in previously-published social contact matrices from 152 countries, we produced the distribution and four categories of possible R 0 for the 152 countries and chose one ...

Noncentral Limit Theorem For Large Wishart Matrices With Hermite Entries, 2021 CNRS, Université de Lille, Laboratoire Paul Painlevé UMR 8524, F-59655 Villeneuve d’Ascq, France

#### Noncentral Limit Theorem For Large Wishart Matrices With Hermite Entries, Charles-Philippe Diez, Ciprian A. Tudor

*Journal of Stochastic Analysis*

No abstract provided.