HOME | DD
JakeLsewhere — Euler's Flush
by-sa
Published: 2008-05-20 05:41:58 +0000 UTC; Views: 5983; Favourites: 39; Downloads: 280
Redirect to original
Description
In mathematical analysis, Euler's identity, named after Leonhard Euler, is the equationeiπ+1=0
where
e is Euler's number, the base of the natural logarithm,
i is the imaginary unit, one of the two complex numbers whose square is negative one (the other is -i), and
π is pi, the ratio of the circumference of a circle to its diameter.
Euler's identity is considered by many to be remarkable for its mathematical beauty. Three basic arithmetic operations occur exactly once each: addition, multiplication, and exponentiation. The identity also links five fundamental mathematical constants:
* The number 0.
* The number 1.
* The number π, which is ubiquitous in trigonometry, geometry of Euclidean space, and mathematical analysis.
* The number e, the base of natural logarithms, which also occurs widely in mathematical analysis (e ≈ 2.71828).
* The number i, imaginary unit of the complex numbers, which contain the roots of all nonconstant polynomials and lead to deeper insight into many operators, such as integration.
Furthermore, in mathematical analysis, equations are commonly written with zero on one side.
~~
Stock used:
's Clubs
Related content
Comments: 31
This? Is fantastic. After seven hours of algebra homework, I think you just made my day
👍: 0 ⏩: 1
Glad you enjoyed it.
👍: 0 ⏩: 0
Glad you liked it.
And thanks for the 
👍: 0 ⏩: 0
It also begs the question...
Since math people are becoming rarer and rarer, are we getting smarter and smarter?
👍: 0 ⏩: 1
Unfortunately so. I think that we can take solace in the fact that, "back in the day" all the math people were the smartest people alive...And, it just so happens that we still are...
👍: 0 ⏩: 1
It's nice to see another math person on DA. I was beginning to think I was the only one...
👍: 0 ⏩: 1
yes, us math people seem to be vanishingly rare
👍: 0 ⏩: 0
Soooo cool!! I simply love that equation as it is one of the most beautiful equations in all of math.
👍: 0 ⏩: 1
thank you. and I agree completely, I have much love for Euler's identity.
👍: 0 ⏩: 0
math geeks unite!
i said to pi, "You're irrational." pi replied, "Get real."
👍: 0 ⏩: 1
👍: 0 ⏩: 0
You know what? I just had a so damned Math exam today, and I came back home with a huge headache.
But after seeing this so nice picture and reading your descriptions, I still believe one day I'll fully understand it, because OMG how beautiful numbers and logical concepts are!!!
Thanks for giving me this breath of hope!
👍: 0 ⏩: 1
math is definitely a beautiful thing, I'm glad I could help inspire your hope for understanding it.
👍: 0 ⏩: 0
Wow, my head hurts after reading your comment. Math and I don't get along very well. Anyway, great concept, and thanks for using my stock!
👍: 0 ⏩: 1
Sorry to hurt your head, maths do that to some people.
Pretty much the thing to come away from it with, is that even the most complex and esoteric concepts in math can all be boiled down to something simple and easy to understand, like 0.
and thank you for having great stocks available to use.
👍: 0 ⏩: 0