# Laurence Sebastian Bowes

Physics student, tutor, system administrator, problem solver.

### Education

Currently studying theoretical physics at Swansea University.

### Interests

My main interests include mathematical physics and simulation. Side interests include programming, linguistics and foreign languages.

• Python
• C
• Mathematica

• English C2
• Russian B2
• French A2
• Esperanto A2

## Notes

### University Notes

These are some university-level notes that I write for my own entertainment (read: due to boredom). You may or may not find them useful.

### GCSE Maths

I maintain some GCSE Maths notes here

## Contact

If you spot a mistake here or want to have a chat, there are a few ways of getting in contact with me.

## Bits and bobs

These are some site functionality tests.

### Gaussian integral

$\int_{-\infty}^{\infty}e^{-\alpha x^2}\mathrm{d}x = \sqrt{\frac{\pi}{\alpha}}$

### Microcanonical ensemble

$\Sigma (E,V,N) = \int_{\mathscr{H}(q, p) < E} \mathrm{d}^{3N} q\ \mathrm{d}^{3N} p$

### Here's a random piece of code…

import matplotlib
matplotlib.use('Agg')
import numpy as np
x = np.linspace(-5,5,1000)
z = np.exp(-x*x/2)
vals = np.random.randn(1000000)
import matplotlib.pyplot as plt
fig=plt.figure(figsize=(7, 5))
plt.hist(vals, bins=500)
plt.plot(x, 8000*y, '--')
fig.tight_layout()
plt.savefig("images/random.png")
"images/random.png"


### …which makes this random graph :) Created: 2018-12-16 Sun 17:19