I love smbc. www.smbc-comics.com. rt, Wu: MIND. Fail. Even the lightbulb knew it failed this time
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I love smbc

rt, Wu: MIND.
Fail
...
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Views: 59332
Favorited: 93
Submitted: 09/13/2013
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Comments(96):

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User avatar #1 - nedmisthabaws (09/13/2013) [-]
Even the lightbulb knew it failed this time
#11 - ingabenwetrust (09/13/2013) [+] (24 replies)
Can someone on this site explain to me why n^0=1? I've never understood it
#13 to #11 - emrakul (09/13/2013) [-]
Basically, limits. The graph of y=(n^1)x is a straight line, while the graph of y=(n^1/2)x is a curve that levels off as it gets larger. All exponential functions equal 1 at x=1, and as the exponent gets smaller the curve of the function levels off even more. 10^1/2 is greater than 10^1/4, which is greater than 10^1/8, and so on. As the exponent in the function y=(n^e)x gets smaller, it gets closer and closer to a horizontal line, still touching the point (1,1). So while it might not be intuitively possible to calculate n^0, it's pretty easy to see that lim(e->0) n^e=0.

Sorry for the mathiness.
#9 - include (09/13/2013) [+] (3 replies)
User avatar #3 - tittylovin (09/13/2013) [+] (14 replies)
Someone explain this to me.

Amazing, even the most obscure and brainy SMBC gets thumbed up, these can't be the same people that thumb up the same 40 tumblr screenshots to the front page every day. Either there's a brainy crowd I'm not aware of, or people are just pretending.
#4 to #3 - seriff (09/13/2013) [-]
math be crazy
#62 - dungledoo (09/14/2013) [+] (2 replies)
e^iTau = 1.   
   
						****					 your damn semicircle bullSHEIT.
e^iTau = 1.

**** your damn semicircle bullSHEIT.
#31 - supersnake (09/14/2013) [-]
Comment Picture
User avatar #80 - theshadowed ONLINE (09/14/2013) [+] (3 replies)
I don't do scienc or math good. How about a history discussion? I like history.
User avatar #81 to #80 - dedaluminus (09/14/2013) [-]
SOME THINGS HAPPENED

NOW IT'S THE PRESENT
#25 - 4chan refugee (09/14/2013) [+] (4 replies)
Anyone who wants to understand this need only search Euler's Rule. e^(i θ) = cos θ + isin θ . In this case, θ = 180* so you get cos θ is equal to -1 and isin θ equal to zero.
User avatar #90 - anonymoose (09/14/2013) [+] (2 replies)
Y'ALL BETTER HOLD ON TO YOUR SEATS. MATHS IS GOING DOWN!!!:

- e^(iπ)+1=0 known as Euler's identity. It's considered by some as the most beautiful equation.
- e is a mathematical constant. It's approx. 2.718. It's the sum to infinity of 1/(n!) (1/1)+(1/(1*2))+(1/(1*2*3))+(1/(1*2*3*4)) ... and so on
- e^x can be written as the sum to infinity of this is where it gets hard to write it down ((x^(n-1)))/(n!) 1 + (x^1)/(1) + (x^2)/(1*2) + (x^3)/(1*2*3) etc.
- i is a number that doesn't exist but we use it in maths anyway because WE ENJOY CONFUSING PEOPLE. It is the sqrt(-1)
- Sub iπ as x for e^x 1 + ((iπ)^1)/(1) + ((iπ)^2)/2 + ((iπ)^3)/(6) etc.
- Because (i^2) = -1 we can change the equation above into 1 + iπ - (π^2)/2 - (i(π^3))/6 + (π^4)/24 etc.
- That **** up there is known to be the same as cos(π) + isin(π)
- cos(π) = 1 sin(π) = 0 meaning we can get rid of the i there and we're left with just 1

tl;dr When you sub iπ into the formula for e^x you end up with it turning into the same formula for cos(x)+isin(x) which turns out to be 1
#48 - psychadelicsnake (09/14/2013) [+] (8 replies)
This image has expired
math...math everywhere.....

MY STRONG POINT IS SCIENCE NOT THIS.
#38 - therealmaster ONLINE (09/14/2013) [-]
#28 - omegadynasty ONLINE (09/14/2013) [+] (1 reply)
Robot Chicken: Imaginary Number I
#2 - pappathethird (09/13/2013) [-]
Comment Picture
#83 - bummerdrummer (09/14/2013) [-]
My 8th grade Algebra 1 teacher, on the last day of school, she started the class by saying "for the next ten minutes I'm gonna blow your mind,"
then explained the whole concept of i^2=(-1)

it is kind of crazy.
#71 - SuperHyperCrazy (09/14/2013) [-]
mfw math
User avatar #32 - proudnerd (09/14/2013) [-]
This is what engineering is like...
User avatar #15 - studsper (09/13/2013) [-]
I read that kind of math (got an A) just a few months ago, but not doing anything for 3 months drains your memories.
#60 - sussex (09/14/2013) [-]
its euler's equation. its used to solve differential equations. specifically the non homogenous part.
User avatar #45 - coolcalx (09/14/2013) [-]
Euler's identity is one of the most beautiful things in the universe.
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