On 17 Feb 2013, at 19:44, meekerdb wrote:

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On 2/17/2013 7:56 AM, Bruno Marchal wrote:On 13 Feb 2013, at 04:29, socra...@bezeqint.net wrote:After proving Euler's identity during a lecture, Benjamin Peirce, a noted American 19th-century philosopher, mathematician, and professor at Harvard University, stated that "it is absolutely paradoxical; we cannot understand it, and we don't know what it means, but we have proved it, and therefore we know it must be the truth." # Stanford University mathematics professor Keith Devlin said, "Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's Equation reaches down into the very depths of existence." http://en.wikipedia.org/wiki/Euler's_identity =====.. "it is absolutely paradoxical; we cannot understand it, and we don't know what it means, . . . . .’ . . . but . . . ‘ Euler's Equation reaches down into the very depths of existence." ===..Yes. Euler identity is wonderful.It amazes me also that it makes the square of any complex numberinto a (non normalized) gaussian:(e^ix)^2 = e^(-x^2)?? (e^ix)^2 = e^(2ix)

Of course. Gosh, where was my mind at? Thanks for correcting! Bruno

BrentI love also Euler even deeper identity relating the square of theintegers and the prime numbers:Sum from n = 1 to infinity of 1/n^s = Product on all primes p of (1/(1- 1/p^s). This led Riemann to the deeper of all open problem inmath(Riemann hypothesis).Ramanujan found quite amazing number relations. Some are so deepthat they link gravitation, quantum computing, prime numbers,string theory and the arithmetic of the integers, all given a keyrole to the number 24.Jacobi found amazing relations too, involving 24.Math is full of surprising relations. That's a reason, I think, tobelieve in their objectivity or 3p-independence.Bruno--You received this message because you are subscribed to the GoogleGroups "Everything List" group.To unsubscribe from this group and stop receiving emails from it,send an email to everything-list+unsubscr...@googlegroups.com.To post to this group, send email to everything-list@googlegroups.com.Visit this group at http://groups.google.com/group/everything-list?hl=en.For more options, visit https://groups.google.com/groups/opt_out.

http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list?hl=en. For more options, visit https://groups.google.com/groups/opt_out.