> which, for the third time, I've already said it doesnt work for all people
You're right, my mistake.
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> which, for the third time, I've already said it doesnt work for all people
You're right, my mistake.
It's cool. I don't believe that the golden ratio proves the existence of god, or that you can really follow the stock market with it, but the other stuff is pretty neat.
I'm gonna use it to follow the stock market, and when I lose my life savings I'm gonna sue his ass off.
We need some other cool numbers.
e^pi ~ 23.1406926328 is a pretty cool transcendental number.
What's cooler is that pi^e has yet to be proven to be transcendental.
some other irrationals I remember the first few digits of(what are they)
- .8660254
- .70710678
- 1.4142136
a. sqrt(3)/2
b. 1/sqrt(2)
c. sqrt(2)
Here's another awesome one: 0.207879576... (this one is truly a cool number) :)
b is the cos and sin of 45 degrees (pi/4) and c is its inverse (which is what you said pretty much zach).
When you say e^pi hasn't been proven to be transcendental, is that the same as saying it hasn't been proven to be irrational?
What is a, and what is the number you listed zach?
edit: nvm, you listed a
edit1: there are literally a bazillion irrational numbers, so we should also try to name the significance of them when we list them :O
e^pi has been proven transcendental, but pi^e hasn't (and it would be ridiculously strange if it wasn't).
Transcendental is a little more than irrational. A number is transcendental (over the rationals) if it is not the root of any (finite) polynomial with rational coefficients (equivalently, integral coefficients).
So, sqrt(2) is not transcendental because it is a root of X^2-2=0
The one I listed is i^i :D
Oh, I just realize I flipped that around, haha.
Thanks for the explanation, I did not know that.
edit: i ^ i? i as in imaginary number i?
Yep. :)
I have no clue how that works out so I will just have to take your word on it.
Whoa that's pretty cool! I never would've thought it would be a real number.
Actually, it's even cooler since it sorta fits what I'm studying in pre-calc right now (logarithms and exponents)