Recent content by maxxedit

  1. M

    Homogeneous nonlinear function

    Oh, I see. I found one! Thanks for the guidance. Took me hours, and would have taken hours more without your help.
  2. M

    Homogeneous nonlinear function

    For one, we can't take sqrt because then F could send things to C. You said R^2 to R is significant...I've been playing around with x and y, but every nonlinear function seems to break both sc.mul and addition.
  3. M

    Homogeneous nonlinear function

    Could you give me an example of a function that satisfies scalar multiplication but not addition? more specifically, F: R^2 -> R such that F(av)=a F(v) but F(v1 + v2) != F(v1) + F(v2) The best thing I could come up with is F(x,y)= |x| . This obviously does not satisfy additivity, but...
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