Understanding the most beautiful equation in Mathematics
-
This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:
Quote:
If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0
Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:
-
Yes, but you are missing the point. The main thing to prove here is that eiπ = -1, this is the nontrivial part.
one might also say that eiπ = cos(π) ;P
-
Yes, but you are missing the point. The main thing to prove here is that eiπ = -1, this is the nontrivial part.
And the fact that eiπ = -1 seems somehow significant, almost metaphysical... :rolleyes:
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:
Quote:
If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0
Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:
-
Yes, but you are missing the point. The main thing to prove here is that eiπ = -1, this is the nontrivial part.
Right! And there are some really important functions included, showing the coherences between them! :rose:
Author of Primary ROleplaying SysTem How do I take my coffee? Black as midnight on a moonless night. War doesn't determine who's right. War determines who's left.
-
Richard Deeming wrote:
ii
My head hurts. :doh: Marc
Testers Wanted!
Latest Article: User Authentication on Ruby on Rails - the definitive how to
My Blog -
-
Richard Deeming wrote:
ii
My head hurts. :doh: Marc
Testers Wanted!
Latest Article: User Authentication on Ruby on Rails - the definitive how to
My BlogJust think of it as "Isiah". :rolleyes: Because "one i's 'igher than t'other".
"These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer
-
Busy site that one. "That means ii is real!"
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:
Quote:
If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0
Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:
-
Busy site that one. "That means ii is real!"
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
Quote:
That means ii is real!
Very bad English; it should be: That means ii am real! This just goes to show mathematicians can't do no good English.
- I would love to change the world, but they won’t give me the source code.
Forogar wrote:
mathematicians can't do no good English
Poor grammar yourself. Double negative means they can! Joke's on you!
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
Quote:
That means ii is real!
Very bad English; it should be: That means ii am real! This just goes to show mathematicians can't do no good English.
- I would love to change the world, but they won’t give me the source code.
Teacher: David, give me a sentence starting with "I." David: I is... Teacher: No, David. You must always say "I am." David: Oh right. I am the ninth letter of the alphabet.
"These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer
-
This must be too far over my head for me to understand. http://functionspace.org/articles/6/Understanding-the-most-beautiful-equation-in-Mathematics[Understanding the most beautiful equation in Mathematics] My head was swimming after reading through the whole article and then it came down to:
Quote:
If we put, x=π , we get: eiπ = −1 as cosπ = −1 and sinπ = 0 or eiπ + 1 = 0
Ahhh, ok... but doesn't all that just mean: -1 + 1 = 0 ??? :wtf:
-
-
And the fact that eiπ = -1 seems somehow significant, almost metaphysical... :rolleyes:
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert EinsteinYes, of course it is mysterious, metaphysical and non-trivial, yet very true. Therein lies its beauty.
Cornelius Henning Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bath and not make messes in the house. - Robert Heinlein, Lazarus Long: "Time Enough for Love"
-
Forogar wrote:
mathematicians can't do no good English
Poor grammar yourself. Double negative means they can! Joke's on you!
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
Yes, of course it is mysterious, metaphysical and non-trivial, yet very true. Therein lies its beauty.
Cornelius Henning Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bath and not make messes in the house. - Robert Heinlein, Lazarus Long: "Time Enough for Love"
Seems like a sort of convergence... like the Ancients wanted us to find it...
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
I assume you are not familiar with the concept of a deliberate parody used as a mechanism for humour?
- I would love to change the world, but they won’t give me the source code.
Really? You're trying to recover using that? OK. You win.
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein -
Really? You're trying to recover using that? OK. You win.
If your actions inspire others to dream more, learn more, do more and become more, you are a leader.-John Q. Adams
You must accept one of two basic premises: Either we are alone in the universe, or we are not alone in the universe. And either way, the implications are staggering.-Wernher von Braun
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.-Albert Einstein
