Isn't the most famous equation in mathematics a perversion?

[thesurge]

Originally posted by: Narmer

Originally posted by: thesurge

Originally posted by: Narmer

Originally posted by: hypn0tik

Originally posted by: Narmer
link

If you look at the five components of Euler's identity: pi, 1, 0, e, and i. You can see that only one component, pi, isn't the real pi that we think of. Instead, pi in this case simply represents 180 degrees. But degrees can be represented by any other symbol, therefore pi isn't really pi in this instance.

Or am I wrong.

Sure. And instead of choosing 'e' to represent the natural base, we could have chosen 'z'. Instead of choosing i^2 = -1, we could have chosen e^2 = -1.

What's your point?

Edit: z^pi*e + 1 = 0

My point is that pi=3.1419..., which is a ratio

But in the case of Euler's identity, pi=180 degrees.

The two uses of the symbol pi have very different functions.

Err... e^{ix}=cos(x)+isin(x)
http://en.wikipedia.org/wiki/Euler%27s_formula#Using_calculus

Simple proof. Subsitute "pi" in the equation and OMG you get TEH identity!

I know that, Genius, that's why I'm asking the question of why the euler's identity would make people see pi(3.1419...) when they are actually seeing pi(degrees). At worst, it's a perversion. Hence, the identity is not as beautiful as many see it. It can be beaufitul, but only if you believe something that really isn't what it espouses to be.

We're seeing pi (3.1419...) radians. What's the problem here?

 

[paulney]

The most famous one is : 6*7 = 42

 

[neutralizer]

Originally posted by: hypn0tik

Originally posted by: JohnCU

Originally posted by: ElFenix
you're wrong.

a squared plus b squared = c squared is the most famous equation

actually, you're wrong. sorry.

If ElFenix was an EE, he'd appreciate the beauty of Euler's expression.

Haha yea. Fourier Transforms!

 

[b0mbrman]

Originally posted by: Narmer

Originally posted by: JohnCU

Originally posted by: Narmer

Originally posted by: hypn0tik
OP, I suggest you read this.

I know the identity is correct but...others may think that they can simply plug in scalar pi and out will come 0... Never mind, I think I'll leave this one alone.

what?

I'm saying disregard the question. Forget it. Forget I asked it.

Wait a second...you're saying it's a perversion because you assume people would plug in 3.1415... degrees hoping to get 0?

I should hope that someone who makes it to a class at that level of math would know what a radian is...

Anyway, I imagine you're now wondering what the protocol is in regard to the proper way to back out of a situation such as this. Let me give you a head start:

oh well who cares, i wont admit i am wrong, even though i may be(which i most likey am). But not at the part of pi isn't really pi in this instance. I WILL SAY THIS AGAIN, MOD PLEASE LOCK THIS ONE, AS I HAVE SEEMED TO START A CONTROVERSIAL TOPIC.

You're welcome :thumbsup:

 

[TuxDave]

Originally posted by: Narmer

If it's such a dumb post, then I'd like you to do me a small favor. I'd like you to decouple the entire equation and show it in all it's ugliness. Show us the meat and potatoes of Euler's identity. I'll give you a head start:

e^i(pi) +1=0

where e^i(pi)= cos(pi) +isin(pi)=-1

But a^x>0>-1. If you've taken modern analysis (which I haven't) or number theory, perhaps you can enlighten me and the average joe on this equation by explaining exactly what i is.

I'm not saying the equation isn't beautiful (in it's simplicity), but there's a wholly complex dimension that undermines such beauty. Perhaps I'm being more philosophical than mathematical, but that's precisely my point.

I agree it's complex but it's not complex due to the fact that pi degrees != pi radians.

 

[iamaelephant]

If you don't know what a radian is you should be banned for even starting a mathematics thread. And if you think that the number pi (3.14....) is unrelated to the pi in the unit circle on a complex plane then you clearly have no clue what a radian is.

 

[Fritzo]

People, there are women out there waiting for you to call them!

 

[z0mb13]

Originally posted by: Fritzo
People, there are women out there waiting for you to call them!

or even guys for gods sake!

 

[iliopsoas]

all of you should shut your pi holes

 

[Syringer]

Originally posted by: Narmer

Originally posted by: thesurge

Originally posted by: Narmer

Originally posted by: hypn0tik

Originally posted by: Narmer
link

If you look at the five components of Euler's identity: pi, 1, 0, e, and i. You can see that only one component, pi, isn't the real pi that we think of. Instead, pi in this case simply represents 180 degrees. But degrees can be represented by any other symbol, therefore pi isn't really pi in this instance.

Or am I wrong.

Sure. And instead of choosing 'e' to represent the natural base, we could have chosen 'z'. Instead of choosing i^2 = -1, we could have chosen e^2 = -1.

What's your point?

Edit: z^pi*e + 1 = 0

My point is that pi=3.1419..., which is a ratio

But in the case of Euler's identity, pi=180 degrees.

The two uses of the symbol pi have very different functions.

Err... e^{ix}=cos(x)+isin(x)
http://en.wikipedia.org/wiki/Euler%27s_formula#Using_calculus

Simple proof. Subsitute "pi" in the equation and OMG you get TEH identity!

I know that, Genius, that's why I'm asking the question of why the euler's identity would make people see pi(3.1419...) when they are actually seeing pi(degrees). At worst, it's a perversion. Hence, the identity is not as beautiful as many see it. It can be beaufitul, but only if you believe something that really isn't what it espouses to be.

It IS pi you mothafvckin' idiot. Goddamn I've never seen such an moronic thread in my life, and I've been around a while.

 

[flyboy84]

There was a NY Times poll of prominent scientists, mathematicians, etc asking what the most famous/important equation was. The winner was Euler's Identity, with Maxwell's Equations taken as a whole a close second. Other contenders were E=mc^2, F=ma and 2+2=4.

 

[Kyteland]

Originally posted by: BrownTown
EDIT: jsut think of it this way, what is the diamater of the unit circle? = 2pi, what is half that, yeah thats right pi. pi = 180degrees.

AHAHAHAHAAAAAaaaaa

I know what you meant, but that still made my night. :laugh:

 

[iamaelephant]

Originally posted by: flyboy84
There was a NY Times poll of prominent scientists, mathematicians, etc asking what the most famous/important equation was. The winner was Euler's Identity, with e=mc^2 a close second. Other contenders were F=ma and 2+2=4.

I think Maxwells Equations rounded out the top three didn't they? Or was that a different survey?

 

[flyboy84]

Originally posted by: iamaelephant

Originally posted by: flyboy84
There was a NY Times poll of prominent scientists, mathematicians, etc asking what the most famous/important equation was. The winner was Euler's Identity, with e=mc^2 a close second. Other contenders were F=ma and 2+2=4.

I think Maxwells Equations rounded out the top three didn't they? Or was that a different survey?

lol you're too fast for me I just went to look it up and edited my post...couldn't find the article, but I found a blurb about it. You are right!

 

[slpaulson]

Originally posted by: Narmer
link

If you look at the five components of Euler's identity: pi, 1, 0, e, and i. You can see that only one component, pi, isn't the real pi that we think of. Instead, pi in this case simply represents 180 degrees. But degrees can be represented by any other symbol, therefore pi isn't really pi in this instance.

Or am I wrong.

The pi in this case represents half the circumference of a unit circle.

 

[Estrella]

narmer, here is a suggestion.

/quit

 

[chcarnage]

All the numbers were at a party and having great fun, expect e which stood alone in a corner. So 5 came over and asked: "Hey! Why don't you join us over there?" To this e answered: "Well, I just can't integrate myself!"

HAAHAAAH HAH HAH ha... hm

 

[nycxandy]

Originally posted by: Estrella
narmer, here is a suggestion.

/quit

I wholeheartedly agree.