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March 20th, 2017, 06:01 AM  #1 
Newbie Joined: Mar 2017 From: turkey Posts: 1 Thanks: 0  stairway to heaven and complex number
Teacher gave this homework. He want to write an essay( a page) . Who can explain relationship between " symbolism in stairway to heaven and complex number ?

March 20th, 2017, 07:54 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,566 Thanks: 2567 Math Focus: Mainly analysis and algebra 
That's nice. Do you have any ideas?

March 20th, 2017, 09:11 AM  #3 
Senior Member Joined: Aug 2012 Posts: 2,137 Thanks: 623 
Tell him to put down the bong.

March 20th, 2017, 09:51 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 2,266 Thanks: 1198 
Maybe he's talking about the actual stairway that goes up a mountain in Hawaii. If that's the case the only link I see between this and the complex numbers is that complex infinity sits at the top of the Riemann sphere. I find it hard to believe that a Turkish professor would be referencing the Led Zeppelin song.... 
March 20th, 2017, 10:35 AM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,804 Thanks: 971  
March 20th, 2017, 10:44 AM  #6 
Senior Member Joined: Aug 2012 Posts: 2,137 Thanks: 623 
I have reviewed the lyrics here ... https://play.google.com/music/previe...gnid=kplyrics ... and I can report that I have found no links to complex numbers except for this possibility: Yes, there are two paths you can go by But in the long run There's still time to change the road you're on. Two paths you can go by ... it's perhaps a reference to the proof of the CauchyRiemann equations, in which you can approach zero along either the x or y axis. Or perhaps the two paths refer to the proof of the Cauchy integral formula, where traversing the paths in the opposite directions makes everything cancel out. [Goursat proof in Ahlfors]. Other than that, I think the prof is consuming some of those famous Turkish products that the American smuggler was trying to bring home in the movie Midnight Express. Last edited by Maschke; March 20th, 2017 at 10:53 AM. 

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complex, heaven, number, stairway 
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