In this blog, I would like to provide updates on the M3 Challenge and my research project in Abstract Algebra for Chester County Science Fair. Then, I will introduce the RSA Algorithm, the most used information encryption algorithm in the world and how it relates to my project.Continue reading
Since my last blog, I have been working on three different projects: Modeling the Future, Science Fair (Abstract Algebra), and M3 Challenge, another mathematical modeling competition. In this blog, I will talk about all three competitions I have been working on. For Abstract Algebra, I will also use part of my paper to talk about Lagrange’s Theorem. Continue reading
In my last blog, I talked about my plan for the semester, why I want to study abstract algebra, and some basic concepts involving mapping. In this blog, I will first provide some update on Modeling the Future, a team math competition we have been working on, and how I redefine addition in group theory. I will also talk about my plan for the science fair. Continue reading
In this blog, I would like to briefly review my Fall semester and share my plan for the Spring.
In the past four months, I worked on Differential Equations and its related topics. Through following the MIT Open Course Ware, I learned different methods to solve DEs and their implications in real life.Continue reading
In the past few weeks and Thanksgiving break, I finished Unit II and moved on to Unit III. In this unit, I will primarily focus on the Fourier Series, Laplace Transformation, their connections with Differential Equations, and their applications in reality. In this blog, I will introduce the Fourier Series of periodic functions, including the trigonometry functions, the sin and cos. Continue reading
This week we took a break from the technical practice and stepped in to a new realm. What truly makes a game fun to play? In class this week we talked about game design, less about creating a game, and more about designing one. In class we sat and discussed, what made our favorite games special, and what did we dislike about them?
Most people chose series of many games, or a single game that has been updated over several years, which allowed us to discuss our likes and dislikes over time. People mostly chose well enjoyed series like Animal Crossing or Fallout. I personally chose the Pokemon DS games as well as World of Warcraft (WoW), two very different games. Continue reading
In the past two weeks, I worked on Second Order Differential Equations with constant coefficients and learned more about the Spring-Damper Model. In this blog, I will provide a brief recap of the basic knowledge, and then provide further analysis of the same model. If you are interested in my last blog, please visit here. Continue reading
This past week marks the end of the data collection period of my project. After I figured out how to scrape data generally on websites with simple structures in the last blog post, I had been experimenting with pulling data down from the Expedia website which was way more complex. However, as I tried to do this, I encountered some difficulties. At first, I decided to start experimenting with data that should be easily pulled to see if the code would indeed even work for this site. Therefore, I picked the date of the flight shown on the website. It had the tag class=”title-date-rtv“. I put this value into the code. Continue reading
Blasters are such a staple to video games. Think back to space invaders, that game is almost completely just a simple blaster that moves side to side. That works great if you only want to shoot in a single direction, but what happens when you would like to aim in a full 360 degrees? Continue reading
In the past two weeks, I have finished Unit 1 and moved on to Unit 2. Starting here, I will be working with Second Order Differential Equations with constant coefficients. Continue reading