Creating Art Patterns With Math And Code, 2016 CUNY New York City College of Technology

#### Creating Art Patterns With Math And Code, Boyan Kostadinov

*Publications and Research*

The goal of this talk is to showcase some visualization projects that we developed for a 3-day **Code in R** summer program, designed to inspire the creative side of our STEM students by engaging them with computational projects that we developed with the purpose of mixing **calculus level math and code** to create complex geometric patterns. One of the goals of this program was to attract more minority and female students into applied math and computer science majors.

The projects are designed to be implemented using the high-level, open-source and free computational environment R, a popular software in industry for ...

Optimizing The Mix Of Games And Their Locations On The Casino Floor, 2016 nQube Technical Computing Corp.

#### Optimizing The Mix Of Games And Their Locations On The Casino Floor, Jason D. Fiege, Anastasia D. Baran

*International Conference on Gambling and Risk Taking*

We present a mathematical framework and computational approach that aims to optimize the mix and locations of slot machine types and denominations, plus other games to maximize the overall performance of the gaming floor. This problem belongs to a larger class of spatial resource optimization problems, concerned with optimizing the allocation and spatial distribution of finite resources, subject to various constraints. We introduce a powerful multi-objective evolutionary optimization and data-modelling platform, developed by the presenter since 2002, and show how this software can be used for casino floor optimization. We begin by extending a linear formulation of the casino floor ...

Stationary And Time-Dependent Optimization Of The Casino Floor Slot Machine Mix, 2016 nQube Technical Computing Corp.

#### Stationary And Time-Dependent Optimization Of The Casino Floor Slot Machine Mix, Anastasia D. Baran, Jason D. Fiege

*International Conference on Gambling and Risk Taking*

Modeling and optimizing the performance of a mix of slot machines on a gaming floor can be addressed at various levels of coarseness, and may or may not consider time-dependent trends. For example, a model might consider only time-averaged, aggregate data for all machines of a given type; time-dependent aggregate data; time-averaged data for individual machines; or fully time dependent data for individual machines. Fine-grained, time-dependent data for individual machines offers the most potential for detailed analysis and improvements to the casino floor performance, but also suffers the greatest amount of statistical noise. We present a theoretical analysis of single ...

The Evolution Of Cryptology, 2016 California State University - San Bernardino

#### The Evolution Of Cryptology, Gwendolyn Rae Souza

*Electronic Theses, Projects, and Dissertations*

We live in an age when our most private information is becoming exceedingly difficult to keep private. Cryptology allows for the creation of encryptive barriers that protect this information. Though the information is protected, it is not entirely inaccessible. A recipient may be able to access the information by decoding the message. This possible threat has encouraged cryptologists to evolve and complicate their encrypting methods so that future information can remain safe and become more difficult to decode. There are various methods of encryption that demonstrate how cryptology continues to evolve through time. These methods revolve around different areas of ...

Thinking Poker Through Game Theory, 2016 California State University, San Bernardino

#### Thinking Poker Through Game Theory, Damian Palafox

*Electronic Theses, Projects, and Dissertations*

Poker is a complex game to analyze. In this project we will use the mathematics of game theory to solve some simplified variations of the game. Probability is the building block behind game theory. We must understand a few concepts from probability such as distributions, expected value, variance, and enumeration methods to aid us in studying game theory. We will solve and analyze games through game theory by using different decision methods, decision trees, and the process of domination and simplification. Poker models, with and without cards, will be provided to illustrate optimal strategies. Extensions to those models will be ...

Abrupt Transitions From Low To High Firing Frequencies In Neurons And Neuronal Networks, 2016 Tufts University

#### Abrupt Transitions From Low To High Firing Frequencies In Neurons And Neuronal Networks, Ryusei Melody Takeuchi, Christoph Borgers

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

In-111 Uptake In Spect Images Of Murine Tumors With Varying Antigen Expression: A Topological Approach, 2016 College of the Holy Cross

#### In-111 Uptake In Spect Images Of Murine Tumors With Varying Antigen Expression: A Topological Approach, Sarah J. Tymochko

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, 2016 College of William and Mary

#### Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Topological Analysis Of Targeted In-111 Up- Take In Spect Images Of Murine Tumors., 2016 College of the Holy Cross

#### A Topological Analysis Of Targeted In-111 Up- Take In Spect Images Of Murine Tumors., David Damiano

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

General Models For Ecological Drivers Of Poverty, 2016 Harvard Medical School

#### General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Force Generation And Contraction Of Random Actomyosin Bundles., 2016 Courant Institute (NYU)

#### Force Generation And Contraction Of Random Actomyosin Bundles., Dietmar B. Oelz

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Statistics In League Of Legends: Analyzing Runes For Last-Hitting, 2016 Augustana College, Rock Island Illinois

#### Statistics In League Of Legends: Analyzing Runes For Last-Hitting, Brian M. Hook

*Mathematics: Student Scholarship & Creative Works*

While other sports have statisticians to evaluate players and their stats, in electronic sports there is a need for statisticians to evaluate different parts of the game. League of Legends is the most popular of ESports and is the focus of this discussion. The mechanic of focus here is runes which give boosts to the players stats in-game like being able to do extra damage. We will be finding the effectiveness of these runes by looking at gold efficiency, help with last hitting, and extra damage dealt through the use of Python.

Totally Positive Density Matrices And Linear Preservers, 2016 University of Guelph

#### Totally Positive Density Matrices And Linear Preservers, David Kribs, Jeremy Levick, Rajesh Pereira

*Electronic Journal of Linear Algebra*

The intersection between the set of totally nonnegative matrices, which are of interest in many areas of matrix theory and its applications, and the set of density matrices, which provide the mathematical description of quantum states, are investigated. The single qubit case is characterized, and several equivalent conditions for a quantum channel to preserve the set in that case are given. Higher dimensional cases are also discussed.

Modelling The Impact Of Climate Change On The Polar Bear Population In Western Hudson Bay, 2016 The University of Western Ontario

#### Modelling The Impact Of Climate Change On The Polar Bear Population In Western Hudson Bay, Nicole Bastow

*Electronic Thesis and Dissertation Repository*

The aim of this thesis is to model the impact of climate change on polar bear populations. The first model is a discrete matrix model with time-dependent parameters, which are influenced by temperature increases. Sensitivity analysis is done on the model. Numerical simulations predict there exist several scenarios that result in polar bear extinction. When the impact of climate warming is low the population is predicted to die out in 300 years and for higher levels of impact the population can be extinct within 6. The second model is a system of continuous delay differential equations with time-dependent parameters, also ...

Growing Networks With Positive And Negative Links, 2016 College of William and Mary

#### Growing Networks With Positive And Negative Links, Corynne Smith Dech

*College of William & Mary Undergraduate Honors Theses*

Scale-free networks grown via preferential attachment have been used to model real-world networks such as the Internet, citation networks, and social networks. Here we investigate signed scale-free networks where a link represents a positive or negative connection. We present analytic results and simulations for a growing signed network model and compare the signed network to an unsigned scale-free network. We discuss several options for preferential attachment in a signed network model. Lastly we measure preferential attachment in a real-world network and discuss the advantages and disadvantages of data fitting methods.

Catching Card Counters, 2016 Bryant University

#### Catching Card Counters, Sarah French

*Honors Projects in Mathematics*

The casino industry has been researched through a variety of disciplines including psychological gambling habits, technological advances, business strategies, and mathematical simulations. In the vast number of studies that have been conducted, there are few scholarly articles that focus on the specific aspect of card counting. The majority of games in the casino are designed to favor the “house”. This study focuses on the game of blackjack, in which players using a card counting strategy can tip the odds in their favor. A computer simulation was used to model the betting strategy of a card counter who would bet methodically ...

An Overview Of Cryptography (Updated Version, March 3, 2016), 2016 Embry-Riddle Aeronautical University - Daytona Beach

#### An Overview Of Cryptography (Updated Version, March 3, 2016), Gary Kessler

*Gary C. Kessler*

How Much Should You Pay For A Financial Derivative?, 2016 CUNY New York City College of Technology

#### How Much Should You Pay For A Financial Derivative?, Boyan Kostadinov

*Publications and Research*

We explain some key mathematical ideas behind the no-arbitrage pricing of financial derivatives by replication, starting from a simple coin toss model and ending with the continuous-time limit of a multi-step coin-toss model using a geometric random walk model. In the limit, we obtain the classical Black-Scholes-Merton formula for pricing European call and put options.

Higher Numerical Ranges Of Quaternion Matrices, 2016 Department of Mathematics, IAU-Shahrood University, Shahrood, Iran

#### Higher Numerical Ranges Of Quaternion Matrices, Narjes Haj Aboutalebi, Gholamreza Aghamollaei, Hossein Momenaee Kermani

*Electronic Journal of Linear Algebra*

Let n and k be two positive integers and k n. In this paper, the notion of k−numerical range of n−square quaternion matrices is introduced. Some algebraic and geometrical properties are investigated. In particular, a necessary and sufficient condition for the convexity of the k−numerical range of a quaternion matrix is given. Moreover, a new description of 1−numerical range of normal quaternion matrices is also stated.

Procesy Cieplne I Aparaty (Lab), 2016 Wroclaw University of Technology