In the world of fluid dynamics there is a phenomenon called a boundary layer. This occurs when a fluid of very low viscosity (like air) flows against a solid object (like the wing of an airplane). The velocity of the fluid very rapidly changes over very short spatial scales. Modeling this mathematically involves copious use of epsilons, limits, and Big-O notation.

An observer in the boundary layer near the object would be oblivious to what was happening outside of the boundary layer, and an observer outside of the boundary layer would be similarly ignorant of what was happening in it. Ensuring that the observations of both are properly reconciled requires a technique called asymptotic matching. Limits of things within the boundary layer as spatial scales in the boundary layer get really big must agree with the limits of things outside of the boundary layer as spatial scales outside of the boundary layer get really small.

This, to me, is a perfect metaphor for the interaction between theory and practice. Our own lived experiences and perspectives are unique to ourselves, yet we must reconcile them with those of our workplaces, communities, and indeed the entire mass of humanity, living, dead, and to come.

This space serves as a showcase of not only those things that the wider world deems important, but the thoughts emanating from my own small corner of the world. Welcome, and enjoy!