# Office Camera

Summary: 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. [full page]

### Putnam B4 2005

Summary: For positive integers $m$ and $n$, let $f(m, n)$ denote the number of $n$-tuples $(x_1, x_2, \dots , x_n)$ of integers such that $|x_1|+|x_2|+ \cdots +|x_n| \leq m$. [full page]

### How does string figure calculus act on linear sequences?

Summary: I’m working with Eric Vandendriessche and Alfredo Braunstein to understand a bit about how the string figure calculus acts of canonical linear sequences. [full page]

### Canonical Start of A Linear Sequence

Summary: The canonical start of a linear sequence is a point in nearest LFn string. In this simple example, there are three possible linear sequences (with the correct orientation) but only $L2, L5, R1$ has the correct start point. [full page]

### Mira colours!

Summary: My daughter Mira came in to the office this afternoon and coloured. [full page]

### Zombies vs Humans (via Diagonalization)

Summary: WolframAlpha Calculation [full page]

### A System with a Particular Solution Set

Summary: We find a linear system with solution set $\operatorname{Span}({ (1,0,2,3), (0,1,4,5)})$. [full page]

### Volume in Conical Tank at t = 5 min

Summary: We find the height of water in a conical tank such that: $$V = \frac{1}{3} \pi x^3$$ given that water is flowing in at a rate $dV/dt = 1 m^3 / min$. [full page]

### Backup System Flowchart

Summary: This is the current layout of my Backup System. It shows how: archive-servers.sh, offline-backup.sh, and offsite-backup.sh work. The Syncthing and Tailscale connections are not shown for the sake of clarity. [full page]

### A Designer Graph

Summary: The designer graph on the first term test for MAT A29 Winter 2022. [full page]

### Paco!

Summary: This is my friend, Paco Estrada. [full page]

### Fitch Cheney Ordering

Summary: Raw photo [full page]

### Alex Teeter: Manifolds

Summary: This is my friend Alex Teeter, manifold explorer. [full page]

### Test of new office-camera

Summary: This is $\LaTeX$. [full page]

### Optimization Doodles and Dave's Amazing Summation (Redo)

Summary: Dave has an amazing summation: $\displaystyle \sum_{n=1}^\infty \frac{n^{13}}{e^{2\pi n} - 1} = \frac{1}{24}$ Moreover, this is exactly equal to the integral! [full page]

### Solving 2/x - 9 >= 0

Summary: = 0" title="Solving 2/x - 9 >= 0" [full page]