Mathematics and Statistics

Mathematics & Statistics Seminar

Friday, March 31st - 3:30pm -4:45pm in HSH 143

SPEAKER: PAIGE GIBBON
QUANTUM WITH QISKIT
ABSTRACT: Recognizing the needs of any new learner, we briefly explore the Qiskit and IBM Quantum platforms as resources for students taking an introductory course in quantum mechanics or quantum information theory. The capabilities of these platforms will then be exemplified through an exploration of pure state tomography and mutual information via an unsharp Stern-Gerlach simulation.

SPEAKER: LEO CROMWELL
AN ATYPICAL COUNTER EXAMPLE WITH PATHOLOGICAL PROPERTIES
ABSTRACT: The converse to the intermediate value theorem is the statement that every real-valued function of a real variable that has the intermediate value property is also continuous. A typical counter example to this statement is constructed using sin(1/x). In this presentation we examine another counter example with surprising properties.

SPEAKER: DARRELL ASHLEY
THE SIMPLE ALGORITHM: A NUMERICAL METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS
ABSTRACT: The governing equations of fluid flow simulations are the Navier-Stokes Equations, which are second order non-linear PDEs. There’s no known general analytical solution to these equations, and numerical techniques, namely Computational Fluid Dynamics (CFD), are used to find solutions of scientific and engineering problems. A method which is commonly used by the CFD solvers is the Finite Volume Method (FVM) employing the Semi-Implicit Method for Pressure Linked Equations (SIMPLE) algorithm. A demonstration of how the algorithm works on a two-dimensional flow problem will be given.

SPEAKER: WILL SUTHERLAND
A SUMMARY OF TWO VARIATIONS OF KENDALL’S TAU AND THEIR APPLICATIONS
ABSTRACT: Building off last semester’s seminar presentation, The Comparison of Similarity and Distance Measures, this presentation will discuss two variations of Kendall’s Tau (Blocked Kendall’s Tau and Mann-Kendall’s Tau (with and without a correlated seasonality effect)) and how they can be used to test for independence and trend. These two topics provide the background for the research topic, developing a Blocked Kendall’s Tau that can withstand dependent blocks.