halbgnarf·7 年前·議論For some morbid reason I love those accounts of random law trolls, thanks for sharing.
halbgnarf·7 年前·議論http://www-math.mit.edu/~djk/calculus_beginners/chapter03/se...> if y = z + a * (x - z) then 1.) f(y) = f(x) + a * (f(x) - f(z))This is incorrect, isn't it?It should be 2.) f(y) = f(z) + a * (f(x) - f(z)) if I'm not mistaken.For example, consider f(n) = n + 1- z=1, x=2- f(z)=2, f(x)=3- f(z + a(x - z)) <=> f(1 + a); for a = -1, we should get f(0) = 1,Substituting into 1.) yields 3 + -1 * (3 - 2) = 2 (incorrect) Substituting into 2.) yields 2 + -1 * (3 - 2) = 1 (correct)