There is a webcam in my office that I use to take photos of the whiteboard. This setup was inspired by Dror Bar Natan’s Blackboard Shots. You can read more about the setup here. If you know of anyone else with a similar setup, please let me know.
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It shows the three generators $T_i, C_i, P_i$. This is a photo to accompany: The Loop Manipulation Group.


I’m working on a project which involves a finitely generated subgroup of the braid group which consists of “loop manipulations”. Three examples of the generators are shown. The question is: What should we call these generators?
We want some nomenclature which produces good notation for the group.


We check a simple lemma leading up to Bessel’s Inequality.

Suppose that ${e_n}$ is an orthonormal system of vectors, with a Hermititan inner product $\left\langle x,y \right\rangle$ inner product.
This photo has a sketch of an embedding $\heartsuit_n \leq B_{2n}$.



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