A fundamental theme throughout this blog series has been partial differential equations (PDEs). The reason for this is that PDEs are a language through which we can describe the world around us, from the smallest scales, to the very largest. Many PDEs, moreover, involve time derivatives. This makes sense, as phenomena such as fluid flows, beam vibrations, and gravitational … [Read more...] about Finding Reduced-Order Models for Nonlinearizable Dynamical Systems using Spectral Submanifolds
Articles
Nature vs. Nurture
One of the biggest questions for psychologists revolves around the idea of innate or learned traits. Are our behaviors and personality traits influenced by our genetics (nature), or do we learn them as we grow (nurture)? How we answer this question will greatly impact the types of treatments we provide for psychological disorders. The answer is still up for debate, but here are … [Read more...] about Nature vs. Nurture
The Invisible Epidemic: Needy Streamer Overload and Gamified Resistance to Celebrity Commodification in the Streaming Industry
Needy Streamer Overload, a 2022 visual novel (or text-based adventure game) created by Japanese developer Xenomo, offers a rare look behind the scenes of a typically glamorized industry: Internet live streaming ( Gematsu, 2022). The game focuses on the main character, a mentally unstable female streamer named Ame, while the player takes the role of her significant other and … [Read more...] about The Invisible Epidemic: Needy Streamer Overload and Gamified Resistance to Celebrity Commodification in the Streaming Industry
The Fundamental Solution of Laplace’s Equation and its Importance in Physics
Welcome back. Today, we will explore a concept that is central to the study of linear partial differential equations: that of the fundamental solution. As its name suggests, a fundamental solution is a very special solution to a PDE that serves as a building block for more general solutions. In this blog, my goal is to derive the fundamental solution to Laplace’s … [Read more...] about The Fundamental Solution of Laplace’s Equation and its Importance in Physics
Eyewitness Identification – Part 1
Eyewitnesses are one of the most relied upon pieces of evidence in the trial process. Most jury members do not understand the limitations of eyewitness testimony, and they rely upon it as “fact”. Memory doesn’t function like a video camera: it is malleable and can be influenced by a lot of outside factors. Unlike eyewitness testimony, DNA is conclusive. The Innocence Project … [Read more...] about Eyewitness Identification – Part 1