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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