I would like to warmly welcome all of my readers back to this week’s session. Last time, we briefly discussed the relationship between Laplace’s equation (∆u = ∂2u/∂x2 + ∂2u/∂y2 = 0) and fluid flows that are irrotational and have no sources or sinks. This week, I would like to develop this topic further and build up more of the background knowledge necessary to understand it. … [Read more...] about Gradients and Potential Flow Part 1: Putting Mathematical Structure Behind Well-Behaved Fluids
Archives for October 2022
Olfactory VR: Immersing Audiences Through Smell
A truly immersive experience engages all the five senses: sight, touch, hearing, smell, and taste. The “three pillars” of XR- Virtual Reality, Augmented Reality, and Mixed Reality are heavily focused on immersing audiences through their sense of vision. This is a huge part of how we take in the world around us, so it makes sense that this is so. The next most prominent focus is … [Read more...] about Olfactory VR: Immersing Audiences Through Smell
All My Life: The Importance of Community
All my life is a 2020 romance movie that was directed by Marc Meyers, written by Todd Rosenberg, and based off of a true story. The movie follows our main characters, Jenn and Sol, as they make the most out of Sol’s last couple of months to live. Jenn and Sol are getting ready to start their lives together when Sol gets very sick. He wakes up one night in excruciating pain and … [Read more...] about All My Life: The Importance of Community
The Purpose of Language
This blog is going to delve into a complex argument about the purpose of language. When we think of language, we intuitively think of communication. However, cognitive scientists would argue that the purpose of language is to organize our thoughts. How do we parse out the true purpose of language? We can start by analyzing the four properties of human language: discreteness, … [Read more...] about The Purpose of Language
Joukowski Airfoils: Where Complex Analysis Meets Aerospace Engineering
In this week’s installment we will once again try to unify many different concepts. Our mission (should we choose to accept it!) is to first develop the fundamental notions of a branch of math called Complex Analysis. While it can be a difficult topic to wrap one’s head around, it is incredibly powerful. After all, there is a saying among mathematicians that the shortest path … [Read more...] about Joukowski Airfoils: Where Complex Analysis Meets Aerospace Engineering