From Mirrors To Wallpapers: A Virtual Math Circle Module On Symmetry, 2023 Central New Mexico Community College

#### From Mirrors To Wallpapers: A Virtual Math Circle Module On Symmetry, Nicole A. Sullivant, Christina L. Duron, Douglas T. Pfeffer

*Journal of Math Circles*

Symmetry is a natural property that children see in their everyday lives; it also has deep mathematical connections to areas like tiling and objects like wallpaper groups. The Tucson Math Circle (TMC) presents a 7-part module on symmetry that starts with reflective symmetry and culminates in the deconstruction of wallpapers into their ‘generating tiles’. This module utilizes a scaffolded, hands-on approach to cover old and new mathematical topics with various interactive activities; all activities are made available through free web-based platforms. In this paper, we provide lesson plans for the various activities used, and discuss their online implementation with Zoom, …

Runge-Kutta Methods For Rough Differential Equations, 2022 Martin Luther University Halle-Wittenberg, Institute of Mathematics, Theodor-Lieser-Str. 5, 06120 Halle (Saale), Germany

#### Runge-Kutta Methods For Rough Differential Equations, Martin Redmann, Sebastian Riedel

*Journal of Stochastic Analysis*

No abstract provided.

A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, 2022 Hofstra University, Hempstead, NY 11549 USA

#### A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, Yihren Wu, Majnu John

*Journal of Stochastic Analysis*

No abstract provided.

Quantization Of The Monotone Poisson Central Limit Theorem, 2022 Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy

#### Quantization Of The Monotone Poisson Central Limit Theorem, Yungang Lu

*Journal of Stochastic Analysis*

No abstract provided.

Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, 2022 African Institute for Mathematical Sciences (AIMS), Cameroon

#### Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, Santatriniaina Avotra Randrianambinina, Julius Esunge

*Journal of Stochastic Analysis*

No abstract provided.

On The Diagonalizability And Factorizability Of Quadratic Boson Fields, 2022 Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy

#### On The Diagonalizability And Factorizability Of Quadratic Boson Fields, Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov

*Journal of Stochastic Analysis*

No abstract provided.

(R1958) On Deferred Statistical Convergence Of Fuzzy Variables, 2022 Bartin University

#### (R1958) On Deferred Statistical Convergence Of Fuzzy Variables, Ömer Kişi, Mehmet Gürdal, Ekrem Savaş

*Applications and Applied Mathematics: An International Journal (AAM)*

In this paper, within framework credibility theory, we examine several notions of convergence and statistical convergence of fuzzy variable sequences. The convergence of fuzzy variable sequences such as the notion of convergence in credibility, convergence in distribution, convergence in mean, and convergence uniformly virtually certainly via postponed Cesàro mean and a regular matrix are researched using fuzzy variables. We investigate the connections between these concepts. Significant results on deferred statistical convergence for fuzzy variable sequences are thoroughly investigated.

(R1886) Effect Of Aggregation Function In Moma-Plus Method For Obtaining Pareto Optimal Solutions, 2022 Université Joseph Ki-Zerbo

#### (R1886) Effect Of Aggregation Function In Moma-Plus Method For Obtaining Pareto Optimal Solutions, Alexandre Som, Abdoulaye Compaoré, Kounhinir Somé, Blaise Somé

*Applications and Applied Mathematics: An International Journal (AAM)*

In this work, we have proposed some variants of MOMA-Plus method that we have numerically tested for the resolution of nonlinear multiobjective optimization problems. This MOMA-Plus method and variants differ from each other by the choice of aggregation functions in order to reduce the number of objective functions. The theoretical results allowing us to use these aggregation functions to transform multiobjective optimization problems into single objective optimization problems are proved by two theorems. This study has highlighted the advantages of each aggregation function according to the type of Pareto front of the optimization problem. Six benchmarks test problems have been …

(R1888) On The Mackey-Glass Model With A Piecewise Constant Argument, 2022 Uşak University

#### (R1888) On The Mackey-Glass Model With A Piecewise Constant Argument, Mehtap Lafci Büyükkahraman

*Applications and Applied Mathematics: An International Journal (AAM)*

In this paper, we deal with the Mackey-Glass model with piecewise constant argument. Because the corresponding difference equation is the difference solution of the equation, the difference equation can clearly predict the dynamic behavior of the equation. So, we look at how the difference equation behaves.We study the asymptotic stability of the equilibrium point of the difference equation and it is obtained that this point is a repeller under some conditions. Also, it is shown that every oscillatory solution of the difference equation has semi-cycles of length at least two, and every oscillatory solution of the difference equation is attracted …

A Comparison Of Cryptographic Methods, 2022 Liberty University

#### A Comparison Of Cryptographic Methods, Christopher Gilmore

*Senior Honors Theses*

While elliptic curve cryptography and quantum cryptography are significantly different branches of cryptography, they provide a suitable reference point for comparison of the value of developing methods used in the present and investing in methods to be used in the future. Elliptic curve cryptography is quite common today, as it is generally secure and efficient. However, as the field of cryptography advances, the value of quantum cryptography’s inherent security from its basic properties should be considered, as a fully realized quantum cryptosystem has the potential to be quite powerful. Ultimately, it is of critical importance to determine the value of …

On The Smallest Non-Trivial Action Of Saut(Fn) For Small N, 2022 Hertford College, University of Oxford

#### On The Smallest Non-Trivial Action Of Saut(Fn) For Small N, Reemon Spector

*Rose-Hulman Undergraduate Mathematics Journal*

In this paper we investigate actions of SAut(*F _{n}*), the unique index 2 subgroup of Aut(

*F*), on small sets, improving upon results by Baumeister--Kielak--Pierro for several small values of

_{n}*n*. Using a computational approach for

*n*⩾ 5, we show that every action of SAut(

*F*) on a set containing fewer than 20 elements is trivial.

_{n}Compilación De Procesos Investigativos En Educación Matemática, 2022 Universidad de Cundinamarca

#### Compilación De Procesos Investigativos En Educación Matemática, Martha Lidia Barreto Moreno, Yeferson Castellanos Novoa, María Alejandra Mayorga Henao, Diana Marcela Contento Sarmiento, Jesús Antonio Villarraga Palomino, Andrés Alberto Gutiérrez Morales, Juan David Firigua Bejarano, Yineth Marleidy Parra Ubaque, Lady Johanna Silva Marín

*Educación*

En el libro Compilación de procesos de investigación en educación matemática, consta de cuatro capítulos donde se presentan los procesos desarrollados en el marco de proyectos de investigación a nivel de pregrado y postgrado en Educación.

El primer capítulo consiste en la sistematización de la acción docente desarrollada en el marco de los Talleres Itinerantes de Alfabetización Computacional en la provincia de Sumapaz, propuesta de innovación para implementar procesos didácticos que contribuyan al desarrollo del pensamiento matemático computacional en educación básica primaria rural.

El segundo capítulo contiene el proceso investigativo que dio continuidad al trabajo realizado en la Fase1, sobre …

The Degree Gini Index Of Several Classes Of Random Trees And Their Poissonized Counterparts—Evidence For Duality, 2022 The George Washington University, Washington, DC 20052, USA

#### The Degree Gini Index Of Several Classes Of Random Trees And Their Poissonized Counterparts—Evidence For Duality, Carly Domicolo, Panpan Zhang, Hosam Mahmoud

*Journal of Stochastic Analysis*

No abstract provided.

A Sharp Rate Of Convergence In The Functional Central Limit Theorem With Gaussian Input, 2022 University of Southern California, Los Angeles, CA 90089, USA

#### A Sharp Rate Of Convergence In The Functional Central Limit Theorem With Gaussian Input, S.V. Lototsky

*Journal of Stochastic Analysis*

No abstract provided.

Quantization Of The Free Poisson Central Limit Theorem, 2022 Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy

#### Quantization Of The Free Poisson Central Limit Theorem, Yungang Lu

*Journal of Stochastic Analysis*

No abstract provided.

Quantization Of The Boolean Poisson Central Limit Theorem And A Generalized Boolean Bernoulli Sequence, 2022 Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy

#### Quantization Of The Boolean Poisson Central Limit Theorem And A Generalized Boolean Bernoulli Sequence, Yungang Lu

*Journal of Stochastic Analysis*

No abstract provided.

A First-Passage Problem For Exponential Integrated Diffusion Processes, 2022 Polytechnique Montréal, Montréal, Québec H3C 3A7, Canada

#### A First-Passage Problem For Exponential Integrated Diffusion Processes, Mario Lefebvre

*Journal of Stochastic Analysis*

No abstract provided.

Domain Of Exotic Laplacian Constructed By Wiener Integrals Of Exponential White Noise Distributions, 2022 Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy

#### Domain Of Exotic Laplacian Constructed By Wiener Integrals Of Exponential White Noise Distributions, Luigi Accardi, Un Cig Ji, Kimiaki Saitô

*Journal of Stochastic Analysis*

No abstract provided.

Symmetric Generations And An Algorithm To Prove Relations, 2022 California State University, San Bernardino

#### Symmetric Generations And An Algorithm To Prove Relations, Diddier Andrade

*Electronic Theses, Projects, and Dissertations*

In this thesis we have discovered homomorphic images of several progenitors such as 3^(*56):(23:(3:7), 3^(*14):(23:(3:7)), 5^(∗24) : S5, 2^(∗10) : (10 : 2), 56^(∗24) : (A5 : 2), and 11^(∗12) :m L2(11). We give isomorphism types of each image that we have found.

We then create a monomial representation of L2(11) by lifting 5:11 onto it.

We manually perform Double Coset Enumeration of 3:(2×S5) over D12

to create its Cayley graph. This is achieved by solving many word problems. The

Cayley graph is used to find a permutation representation of 3:(2×S5). We also

perform Double Coset Enumeration S3 × A5 …

Academic Hats And Ice Cream: Two Optimization Problems, 2022 Moscow Power Engineering Institute (National Research University)

#### Academic Hats And Ice Cream: Two Optimization Problems, Valery F. Ochkov, Yulia V. Chudova

*Journal of Humanistic Mathematics*

This article describes the use of computer software to optimize the design of an academic hat and an ice cream cone!