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
Archives for October 2023
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