Darth.Maul
Active member
http://en.wikipedia.org/wiki/Euler's_formula
Heres some proofs for it. Using power series is the easiest imo...
Heres some proofs for it. Using power series is the easiest imo...
The 'Did you know' thread
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Darth.Maul
Active member
Loco-Deer-Slayer
Active member
I FUCKING hate hate real and imaginary numbers......nightmares of RLC circuits
fuck you inductors
fuck you inductors
Darth.Maul
Active member
Even if you hate them its pretty damn cool that Euler figured out a way to include real, imaginary, zero, and the 2 most fundamental constants all into one equation using a simple power series.
Loco-Deer-Slayer
Active member
yes it is very cool...very similar to maxwells equations....who knew the speed of light could link everything together??
Who knew science could prove so much. Makes me doubt religion even more.
"There be a shit storm brewin''
Who knew science could prove so much. Makes me doubt religion even more.
"There be a shit storm brewin''
Loco-Deer-Slayer
Active member
In short of calc proofs
surface area > area inside 1/x (the proof always assumes this will be true)
The above statement will always be true no matter what (assuming thickness of paint never approaches or is close to 0 [lim x ---->0] - (then we're getting into extreme assumptions, atom thickness of paint > than diameter of smallest thickness of horn)
IDK math makes so many small assumptions...the wiki page explains it all. Assumptions just take math into a whole new level of debate.
surface area > area inside 1/x (the proof always assumes this will be true)
The above statement will always be true no matter what (assuming thickness of paint never approaches or is close to 0 [lim x ---->0] - (then we're getting into extreme assumptions, atom thickness of paint > than diameter of smallest thickness of horn)
IDK math makes so many small assumptions...the wiki page explains it all. Assumptions just take math into a whole new level of debate.
chicken
Active member
I love complex numbers and they have so many cool/important applications.
I HATE working through RLC circuit problems. It's just a bunch of damn algebra. We have computers for that. Got 96% on my circuits and electronics final and now I never have to do that stuff by hand again! I don't want to be a damn electrical engineer. Teach me the physics!
I HATE working through RLC circuit problems. It's just a bunch of damn algebra. We have computers for that. Got 96% on my circuits and electronics final and now I never have to do that stuff by hand again! I don't want to be a damn electrical engineer. Teach me the physics!
Chuffin
Member
On the theme of space:
Did you know... There is a floating planet that wanders through space on its own without a parent star?
It just chills around alone! Theories suggest it may have been kicked out of its solar system while it was being formed or perhaps it formed on its own. It's relatively close as well - approximately 100 light years away.
http://www.independent.co.uk/news/science/the-mary-celeste-of-space-scientists-discover-first-ever-freefloating-planet-not-trapped-by-gravity-of-a-star-8316414.html
Did you know... There is a floating planet that wanders through space on its own without a parent star?
It just chills around alone! Theories suggest it may have been kicked out of its solar system while it was being formed or perhaps it formed on its own. It's relatively close as well - approximately 100 light years away.
http://www.independent.co.uk/news/science/the-mary-celeste-of-space-scientists-discover-first-ever-freefloating-planet-not-trapped-by-gravity-of-a-star-8316414.html
DrZoidberg
Active member
Wait wat. I've never heard of this one, looking into it right now.
DrZoidberg
Active member
Also RLC problems were so annoying. They're like, here's 87 inductors with 12.743 resistors wired in some strange combination, what is the current on the one attached to the most other things? Then loop laws. Matrixes are for computers, not humans. My p chem teacher was like, here's some math, mathematicians did it a while ago so we're not going to spend the hours to do it again. I like that attitude.
Quantum mech has a few good ones. Such as, assume a 1 dimensional line where the text is:
|There's some probability you're here| | never here | |And some chance of being here|
But how can you switch sides? Well, you're not allowed to ask that question, it just works. Newton would find fault with that, Planck would not. Simply put, it's not an issue here.
Also there's some cool shit behind planck's constant, where he calculated it a while ago then somebody did some measurements or something and got the same number, and they were like shit, we're on to something here. Same with the bohr radius too, I think. I can't remember the story. Science is cool.
Quantum mech has a few good ones. Such as, assume a 1 dimensional line where the text is:
|There's some probability you're here| | never here | |And some chance of being here|
But how can you switch sides? Well, you're not allowed to ask that question, it just works. Newton would find fault with that, Planck would not. Simply put, it's not an issue here.
Also there's some cool shit behind planck's constant, where he calculated it a while ago then somebody did some measurements or something and got the same number, and they were like shit, we're on to something here. Same with the bohr radius too, I think. I can't remember the story. Science is cool.
DIPED_IN_SAUCE
Member
This is so perfect. thank you.