ramblings
for my own benefit
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Math topics
22 Jul 2022
Lie exponential is matrix exponential for matrix Lie groups
11 Nov 2021
Spin-1/2 and spin-1 representations of SO(3)
13 Sep 2021
On the requirement that manifolds be paracompact
11 Jun 2021
The orthogonal symplectic group is isomorphic to the unitary group
01 Jun 2021
On the compactness of the unitary, orthogonal, and symplectic groups
02 Apr 2021
In defense of symbols
25 Feb 2021
Closed form of the Fibonacci sequence
07 Feb 2021
Compactness on topological spaces and why it is important
01 Feb 2021
Lagrange multipliers and constrained optimization
28 Jan 2021
Quotient groups and modular integers
25 Jan 2021
Proof that Euler’s number is irrational
24 Jan 2021
Levi-Civita, determinants, volumes, and Jacobians
17 Jan 2021
The Prime Number Theorem
Physics topics
30 Aug 2022
Why is classical mechanics symplectic?
21 Jan 2022
Gaussian linear optics
11 Nov 2021
Addition of angular momentum, a simple example
07 Jul 2021
The space of quantum states
28 May 2021
Derivation of the Wigner quasiprobability distribution
21 May 2021
The scalar propagator
07 May 2021
The connection between bosons and the permanent
03 May 2021
BosonSampling formalism
13 Apr 2021
Mean field theory in statistical mechanics
16 Jan 2021
The origin of the name POVM
15 Jan 2021
Why Newton’s law of gravitation?
Computer science and programming topics
13 May 2021
Probability of return for a random walker
29 Mar 2021
Flappy bird with Javascript
02 Feb 2021
Methods in pseudo-boolean optimization
23 Jan 2021
Uncomputability, the halting problem, and diagonalization
21 Jan 2021
The simulated annealing algorithm
Nontechnical topics
19 Aug 2022
LaTeX section headers and hyperref
30 Aug 2021
Recommended subjects and textbooks for self-study (for physicists)
25 Aug 2021
My LaTeX lifetime style file