First Post
Published:
This page came default with this template. I’m not sure if I’ll do anything with it, but I’m leaving it up as an option right now. Currently, I think I’ll use it as a place for me to store “notes” from classes I’ve taken or content I’ve consumed. I think GitHhub Pages supports $\LaTeX$ syntax, so that could make my life easier if true.
The Ising Model
\[E_{\nu} = -H \sum_{i}^{N} s_i -J \sum_{ \left< i, j\right> }^{N} ' s_i s_j\]Note that <i, j> means sum over nearest neighbors.
The Cauchy-Schwarz Inequality
\[\left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)\]