The tree of knowledge springs eternal.

A central place for catalogueing all my contributions.

• Applied Math
  • Probability & Counting
    • Coin toss markov chains & Mathy version.
    • Walking on a grid.
    • Mean and variance in coupons collected
    • The simplest proof of Blackwell's renewal theorem
    • Statistics
      • Breaking hypothesis testing for failure rates
      • Hypothesis testing visualized
  • Algebra
    • Solving systems of polynomial equations.
  • Solid geometry
    • vid:Binomial coefficients on hypercubes
    • vid:Slicing a Teserract
    • blog:Permutations in slices of hyper-cubes
    • TODO: Equiangular lines in d-dimensions.
  • Optimization
    • Lagrange multipliers
  • Physics
    • Nothing can go faster than light from Maxwell's eqns.
• CS and algorithms
  • Graphs
  • Combinatorial objects
    • Bijecting Dyck paths to binary search trees
• Futurism
  • blog:An invitation to become a Dyson swarming civilization
  • TODO: The simulation hypothesis
  • TODO: Threats