This page about exponentiation is what we call a discovery page. Though it started as a page about Euler, it is now a catchall to morph into a study of exponentiation.

(once a duplicate of https://81018.com/euler — it will be differentiated over time)

EulersIdentity

Of the five constants within Euler’s Identity — the addition, multiplication, and exponentiation operators —


http://www.science4all.org/article/eulers-identity/


By applying base-2 exponentiation alongside the Planck base units, ostensibly multiplying each unit of length, time, mass and charge by 2, and the results by 2, over and over again, in 202 notations there is an ordered set from the first moment in time to the current time. Might that nonlinear progression give Euler’s identity a rather key place in the grand scheme of things? That chart is here: https://81018.com/chart


Is Euler’s Identity the precursor for exponentiation, the finite-infinite nexus of transformation, and the appearance of a space-time moment as a Plancksphere?


General Questions by Students

  1. Why is Euler’s identity considered so miraculous and beautiful?
  2. How fundamental is Euler’s identity, really?
  3. Why are e and π so common as results of seemingly unrelated fields?
  4. Has anyone talked themselves into understanding Euler’s identity a bit?
  5. Am I wrong in thinking that e, π, 1 is hardly remarkable?
  6. Is it possible to intuitively explain, how the three irrational numbers, e, i and π are related?
  7. What could the ratio of two sides of a triangle possibly have to do with exponential functions?
  8. Factorial in power series; intuitive/combinatorial interpretation?
  9. How fundamental is Euler’s identity, really?