Comments by "Lawrence D’Oliveiro" (@lawrencedoliveiro9104) on "10 Math Concepts for Programmers" video.

  1.  @ko-Daegu  Fun fact: collage is an art form consisting of cutting and pasting.
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  2. In the Ada programming language, you can write integer literals in any base from 2 to 36. Don’t you wish more languages had that feature?
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  3. The Greeks used letters as the digits of their number notation.
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  4. Trivia question: in what base does “9 × 6 = 42” come out correct?
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  5. This is YouTube. Use the playback controls, Luke!
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  6. Base 30 seems a better compromise: it has the same prime factors 2, 3 and 5, so it can express all the same numbers as base-60 in terms of exact ratios.
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  7. I actually wrote some code many years ago to do Marquadt-Levenburg curve fits.
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  8. Least-squares is the most common way to optimize a curve fit.
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  9. Is the Universe too complex to have arisen by itself?
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  10. If the Universe is too complex to have arisen by itself, then there must have been some precursor agency that created it. But wouldn’t this Creator agency have been even more complex than the Universe?
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  11. But if the Universe is too complex to have arisen by itself, how could something even more complex have arisen by itself?
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  12. There is a whole website devoted to embarrassing mistakes resulting from entrusting important data analyses to Excel jockeys.
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  13. You have a very noticeable senpai. What do I win?
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  14. Yeah, but monads are only needed for functional programming, which nobody in their right mind would use for anything important.
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  15. With single-character names, you can adopt conventions like implicit multiplication. E.g. instead of “a × b”, you can just write “ab”. That doesn’t work with longer names: how would you know that “widthheight” is supposed to represent “width × height”?
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  16.  @miguelguthridge  With maths formulas, the structure tends to be more important than the pieces, and the ability to manipulate that structure, e.g. to solve for different variables, is also important. In short, concentrate more on “derivation” than “memorization”.
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  17.  @miguelguthridge  Try it and see.
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  18. If a straight line maps to a straight line, then that’s the definition of a “linear transformation”.
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  19. I prefer Circulartine, since I think it’s a more well-rounded drink.
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