Unified Notation

Recently a fantastic Youtube video Triangle of Power by user 3Blue1Brown alerted me to a beautiful notation that unifies the power, root, and logarithm notations. This notation was proposed four years earlier by user alex.jordon in this answer to a user™s question on http://math.stackexchange.com. The best way of seeing how this works is to watch the Triangle of Power video, if you haven™t already.  This video has got me thinking, and here are the results.

p1

p2

Comments

  1. Giulio Casu says

    nice post!
    do you think it is possible to do something similar with trigonometric functions?

    • Yes. sin(x) = y and arcsin(y) = x could both be written as sin(x,y). And the identity sin(arcsin(x)) = x could be rewritten (trivially) as sin(sin(_,x),x).

      David