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By the way, there's another function that can be used to turn multiplication into addition: f(x) = x^2 / 2 a * b = f(a + b) - (f(a) + f(b))
by meindnoch 2y ago
By the way, there's another function that can be used to turn multiplication into addition: f(x) = x^2 / 2
a * b = f(a + b) - (f(a) + f(b))
- secondcoming 2y agoIsn’t x^2 a multiplication?
- meindnoch 2y agoNo, you misunderstood what I meant. Normally, a sliderule at distance x has the value of log(x) written on it, which allows doing multiplications by moving along the sliderule, since log(ab) = log(a) + log(b). Now imagine a sliderule onto which values of x^2/2 are written. This also allows you to multiply two numbers, because ab = (a+b)^2/2 - (a^2/2 + b^2/2).