Differential Equations of the Heart

For my final seminar topic I will be talking about the various types of differential equations in relation to the heart as well as pacemakers. First by discussing some general information about the anatomy and functions of the heart so that we can better understand...

Problems and Paradoxes in Conditional Probability

It doesn’t take much for conditional probability to get complicated. But during my talk, we’re going to make it even more complicated than it needs to be. Next week, we will start by discussing a more traditional curve-ball in the probability playbook: the...

Philip’s Curve in predicting Inflation

There has been so many ways that Economists have tried to use to predict inflation, however, most of them did not prove to be accurate. The invasion of Philips Curve has helped in evaluating and forecasting inflation. A Phillips curve is an equation that relates the...

Poincare Disk Model

Hi all! For my 25 minute talk next week I will be discussing Hyperbolic Geometry and the applications of the Poincare Disk model. In High School we are taught the postulates and theories within Euclidean Geometry. However, the proof for the 5th postulate (the parallel...

Quantum Wave Functions and Schodinger’s Equation

Schrödinger’s equation a fundamental result in quantum mechanics. It’s a linear partial differential equation that controls the wave functions of a quantum mechanical system. It’s a complex equation involving i. So we don’t know what it looks...

Nested Recurrence Relations

Nested recurrence relations are any recurrence relation where at least one of the arguments is dependenton a previous term. For example, the most famous nested recurrence relation is Hofstadter’s Q-recurrence,which is defined by Q(n) = Q(n − Q(n − 1)) + Q(n − Q(n −...

N Queens on an N x N chess board

Have you ever played chess? If you’ve played for any length of time, you most likely know of the dream that many chess players share: to amass an army of queens, the most powerful piece on the board. But with this puzzle, that dream is about to turn into a...

Counting Cards

Next week my talk will be about counting cards in black jack. The pairs and stats related to a certain number of decks used while playing one game will be showed. Also some real instances where people have done very well counting cards in casinos.

Permittivity and Capacitance

My talk is on Permittivity, but before we even get to that we have to define both electrical flux and capacitance, both of which can be done purely mathematically and in physics terms.

Hilbert and Hankel Matrices

Hello everybody! For my 10 minute talk next week I will be discussing the properties and significance of Hankel and Hilbert Matrices. These are famous symmetric matrices that have certain characteristics that cause them to be problematic. Hankel matrices consist of a...