This is a collection of my notes for Brendan Fong and David Spivak’s An Invitation to Appied Category Theory. The first chapter was done through LaTeX, but the rest should be markdown with mathjax. Chapter 1 - Generative effects: Orders and adjunctions Chapter 2 - Resource theories: Monoidal preorders and enrichment Section 2.2 - Symmetric monoidal preorders

I was recently doing a probability puzzle that I can’t quite remember the context of, but I came across the answer that the probability would be $$\mathbb{P}(X) = n p^n \; \quad \forall \: n\in\mathbb{N}, p \in [0,1].$$ But this is obviously wrong! Plug in $p=.9, n=2$, and you get that $\mathbb{P}(X) = 1.62$. Thaat’s not how probability works! However, for $p=0.5$, $\mathbb{P}(X)$ will remain $\leq 1$ for all $n \in \mathbb{N}$....

I have no idea what I am doing. Anyways, here’s a cool equation: $$\frac{d}{dt}\left(\frac{\partial L}{\partial \dot{q}}\right) - \frac{\partial L}{\partial q} = 0$$