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eat_veggies | 11 months ago

For me it is lovely because it exploits the fact that the order does not matter mathematically, but it matters in our heads.

Multiplication commutes (a fact pointed out by everyone) but our human brains are better at multiplying some numbers or fractions than others. Computing 50% of 34 is easier than 34% of 50 because we are more accustomed to cutting things in half than multiplying two-digit numbers.

And it's even more lovely when you realize that this applies equally to computers where you may have to rearrange terms or rewrite formulas to get better numerical stability.

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