A standard textbook problem and lab experiment involves a cart moving along a horizontal track and connected by a string to a hanging weight around a pulley at the corner between the track and vertical drop.
What happens if the pulley is raised vertically, so that the string connects the pulley to the cart at an angle relative to the track? Then one can no longer find an analytic solution...
Whereas the Standard Model has typically been developed through experimentation within an artificially-produced electromagnetic environment, similar particles have been detected within space weather regions with solar probing imagers and detectors onboard satellites. To better understand coronal mass ejections, solar winds, galactic cosmic rays as they constitute space weather and penetrate...
I will describe a few amazing applications of Fourier transforms and convolutions in the context of sound synthesis, astronomy and LIGO gravitational wave detection. The aim of this talk is to present some topics to motivate the power of transformations that can be introduced to students at a very early level, even before calculus or their first exposure to the formal Fourier transform. This...
