Thoughts?
>>8596515
It's an irrational number.
>>8596515
It reached nirvana and transcended.
Too bad it depends on pi to prove its importance. (Or was pi's transcendence proved using e? Can't remember)
>>8596532
The proof that [math]e[/math] is a transcendental number is super easy compared to the proof that [math]\pi[/math] is a transcendental number. In fact, just look at this proof: http://www.cs.toronto.edu/~yuvalf/Herstein%20Beweis%20der%20Transzendenz%20der%20Zahl%20e.pdf
You then use the property that if [math]e^x+1=0,[/math] then [math]x[/math] must be transcendental. Now, [math]e^{i\pi}+1 = 0 \Leftrightarrow i\pi \text{ is a transcendental number } \Leftrightarrow \pi \text{ is a transcendental number, because } i \text{ is an algebraic number.}[/math]
>>8596515
Wolfram alpha and google can't understand it. Searching Euler's constant give me .57 something which is some other constant.
Also e^x is amazing. Only function where at any x the value, gradient, and area are all e^x.
it's an irrational number and dont have period
>>8596515
"fml it took me 3 hours to convince that bank assistant into accepting the deal. I was sure it wouldn't converge..."
>>8596515
Underrated. Pi gets all the attention but e is at least as important if not more.
>>8596515
e's are good
https://www.youtube.com/watch?v=YFJdUJg4wOk
>>8596515
Wildberger thread?
Wildberger thread.
>>8596515
I, too, am a fan of electrons
e >> π