Using Linear Algebra to Derive Fibonacci Numbers

The Fibonacci Sequence was introduced by Leonardo Pisano aka Fibonacci, who was an Italian mathematician during the Middle Ages. Fibonacci introduced the sequence as a solution to the Rabbit problem. Suppose you had two rabbits, one male and one female. Every month,...

Mathematics in Cryptography

Imagine: You are sitting in a coffee shop on your phone when all of a sudden you get the urge to check the balance of your bank account. You go to settings in your phone and connect to the free WiFi at the coffee shop. Then you goon the bank’s website or in...

Mathematical modeling of annual plants

Mathematics Seminars 2020 Mathematical modeling of annual plants Speaker: Tomoatsu Sugiyama Abstract Mathematical model is a representation in mathematical terms of the behavior of real devices and objects. It is used in many contexts such as physics,...

Taxicab Geometry

Hello fellow members of the Math Department! Jon and I worked on our 381 talk together on Taxicab Geometry. In our talk we will touch on the basics of Taxicab Geometry to get a good understanding, then get into the distance formula used and a look into n-dimensional...

The Birthday Paradox and Monty Hall Problem

Hello everyone! I hope that you are all doing well during this crazy time. I have finally completed my MAT 380 seminar on The Birthday Paradox and Monty Hall Problem. It wasn’t easy, and I really struggled with LaTeX at first, but I think things really came together...

Solving the Problem of Multicollinearity

Hello Canisius Math department! I hope everyone had a good Easter weekend. Today, I get the chance to share with you something I’ve worked very hard on. I previously completed my undergraduate thesis on alternate regression techniques in the presence of...

Applications of Planar Separation

Greetings fellow math majors and professors of Canisius College. For three years now I have been conducting independent research in the the field of Euclidean Geometry. Specifically, Applications of Euclidean Postulate 9: The Plane Separation Postulate. The purpose of...

The Blackjack and Card counting

For my MAT 380 presentation this Wednesday, I will be talking about some basic background on how to play a Blackjack, what is it, and how can you win the gambling when you are playing the Blackjack. I will slightly touch on Set Theory, Formula, and some examples. I...

Byzantine Generals with Alternate Possibilities

Byzantine Generals with Alternate Possibilities Byzantine Consensus with Alternate Possibilities Imagine several troupes of Byzantine soldiers stationed outside various corners of an enemy city–their generals need to agree via messenger whether to attack or retreat,...