Do Take Notes

Manuel Blum:

Finite Automata can add but not multiply.
Turing Machines can compute any computable function.
Turing machines are incredibly more powerful than Finite Automata.
Yet the only difference between a FA and a TM is that the TM, unlike the FA, has paper and pencil.
Think about it.
It tells you something about the power of writing.
Without writing, you are reduced to a finite automaton.
With writing you have the extraordinary power of a Turing machine.
via David Singer's Read This Blog!


Debugging Emergency Kit

Debugging and the scientific method
The image above is the hand-out of the last talk I gave. Rubber ducks have long been known as one of the most effective debugging devices [1].

Very often, while debugging, you *know* that you are almost there. The problem is that, before you notice, the morning has gone by with you being "almost there". If you don't really get there after a couple of quick and dirty iterations and want to avoid wasting a morning "almost there", it is very useful to make explicit the steps that everyone takes while debugging: enter your notebook and the scientific method (quoting from Andreas Zeller's Why Programs Fail: A Guide to Systematic Debugging)

  1. Observe a failure
  2. Invent a hypothesis consistent with the observations
  3. Use the hypothesis to make predictions
  4. Test the hypothesis by experiments and further observations
    • If the experiment satisfies the predictions, refine the hypothesis
    • If the experiment does not satisfy the hypothesis, create an alternate hypothesis
  5. Repeat steps 3 and 4 until the hypothesis can no longer be refined
Keeping a written track of the steps is the key here. The advice is quite obvious, but we often forget about obvious things that work very well [2].

[1] This is not the only surprising ability of rubber ducks: http://en.wikipedia.org/wiki/Rubber_duck#Oceanography
[2] I'm writing this post after a most ineffective "almost there" afternoon