e^i π = -1

Tags

  1. mathematics
  2. eulers identity
  3. profound
  4. IDoNotKnow
  5. DoYou
  6. CommonKnowledge

Comments


Mark de LA says
Interesting math links for later: http://www.eipiphiny.org/mathematics.shtml via G+

Seth says
it’s been a while since i studied this, but if memory serves it is more of just a definition than it is all that #profound.   What we are doing here is actually defining “e” such that it solves the equation.  But beyond that there may well be some deeper meaning.  #IDoNotKnow , #DoYou ?

Seth says
Wikipedia’s fine article on “Euler’s Identity” does make it out to be #profound … even a special case of a more general and sweeping actual #mathematics discovery.   But glossess over the fact that how else are we to define the base of natural logirithms …

The number e, is the base of natural logarithms, which occurs widely in mathematical analysis (e = 2.718281828...).

#CommonKnowledge


Mark de LA says
e = sum_(k=0)^∞ 1/(k!) as  series. XOR the solution to log(x) = 1 has a base of e

Input:


log(x) = 1

Plot:



Seth says
i think my point is that sombody just chose it to be that way.   Like if you don’t want to bias your plot by the base of some number system, then you choose some base like this one. 

Mark de LA says
Pi has always been the ration of C=piD or a circle.  THe e was chosen to get the a log = to 1. Learned those in calculus from Redheffer.

Seth says

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