Need a Math Whiz

My engineering career is supported by asking computers to solve things for me. But you gotta understand the inputs/outputs and why's and how's. I have no idea what the context to this equation is. I'd imagine Cliff knows how to use Wolfram Alpha so this HAS to be a sophisticated clue for a feature on the upcoming Fractal Waffle Modeler.
What do you mean, waffles?
canada lol GIF
 
Cheat GPT can answer this.... Correct answer, maybe.... for everthing else, there's Mastercard 🪀
 
  1. exp(a/2)−1=k*(exp(a)−1)
  2. exp(a/2)−1=k*exp(a)−k
  3. exp(a/2)−k*exp(a)=1−k
  4. Let x = exp(a/2)
    1. So exp(a)=x^2
  5. x−kx^2=1−k
  6. kx^2−x+(k−1)=0
  7. Solve quadratic eq:
    1. x=(−(−1)±sqrt((−1)^2−4(k)(k−1)))/2k
    2. x=(1±sqrt(1-4k^2+4k))/2k
  8. x=exp(a/2) so
    1. exp(a/2)=(1±sqrt(1-4k^2+4k))/2k
    2. log(exp(a/2)=log((1±sqrt(1-4k^2+4k))/2k)
    3. a/2 = log((1±sqrt(1-4k^2+4k))/2k)
    4. a = 2*log((1±sqrt(1-4k^2+4k))/2k)
 
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It's a forum inside joke from last week.

View attachment 143790
View attachment 143791

Without math and inside jokes this forum would be "sterile and uninteresting" like previous firmware.

I'm still wondering who the wise guy was that thought 19 waffle models will be enough to satisfy all of our waffle making needs. The nerve!!

This post brought to you by the "soon" to be released Dimarzio Dick Crusher partnership with Fractal

Ba doom ching. Now back to the math please
 
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