Re: Which one result in maths has surprised you the most?

2013-07-11 Thread John Clark
On Tue, Jul 9, 2013 Jason Resch jasonre...@gmail.com wrote: If we call that new number tau (t). Then Euler's identity becomes: e^(t * i) = 1 There is no disputing matters of taste but I think the original equation is more beautiful because it shows a relationship between 5 of the most

Re: Which one result in maths has surprised you the most?

2013-07-11 Thread Jason Resch
On Thu, Jul 11, 2013 at 10:59 AM, John Clark johnkcl...@gmail.com wrote: On Tue, Jul 9, 2013 Jason Resch jasonre...@gmail.com wrote: If we call that new number tau (t). Then Euler's identity becomes: e^(t * i) = 1 There is no disputing matters of taste but I think the original

Re: Which one result in maths has surprised you the most?

2013-07-11 Thread John Clark
On Thu, Jul 11, 2013 at 1:44 PM, Jason Resch jasonre...@gmail.com wrote: If you want to see all the constants at once there is an easy correction: e^(t*i) - 1 = 0 Then it has the additive identity but not the multiplicative identity and I still prefer Euler's original. What is the

Re: Which one result in maths has surprised you the most?

2013-07-11 Thread Jason Resch
1 is in the modified version I provided: e^(t*i) - 1 = 0 Unless you were reading that as e^(t*i) + (-1) = 0 Also, if the more important numbers that can be included, the more beautiful you find the equation, we can also throw in 2, arguably the next most important number: e^(2*t*i) - 1 = 0,

Re: Which one result in maths has surprised you the most?

2013-07-11 Thread John Clark
On Thu, Jul 11, 2013 at 3:31 PM, Jason Resch jasonre...@gmail.com wrote: 1 is in the modified version I provided: e^(t*i) - 1 = 0 I only see a -1. 1* X is always equal to X but -1*X is never equal to X unless X=0. John K Clark -- You received this message because you are subscribed to

Re: Which one result in maths has surprised you the most?

2013-07-11 Thread Jason Resch
On Thu, Jul 11, 2013 at 3:23 PM, John Clark johnkcl...@gmail.com wrote: On Thu, Jul 11, 2013 at 3:31 PM, Jason Resch jasonre...@gmail.com wrote: 1 is in the modified version I provided: e^(t*i) - 1 = 0 I only see a -1. 1* X is always equal to X but -1*X is never equal to X unless X=0.

Re: Which one result in maths has surprised you the most?

2013-07-09 Thread Bruno Marchal
On 08 Jul 2013, at 23:22, Johnathan Corgan wrote: On 07/08/2013 02:16 PM, Jason Resch wrote: This one is very interesting, but the fact that Pi was a poor choice for the constant makes the equation considerably more ugly than it should be. There is a growing movement to usurp the number

Re: Which one result in maths has surprised you the most?

2013-07-09 Thread John Clark
On Mon, Jul 8, 2013 at 5:16 PM, Jason Resch jasonre...@gmail.com wrote: I think the fact that e^i*PI +1 = 0 surprises almost everyone when they first hear of it. This one is very interesting, but the fact that Pi was a poor choice for the constant makes the equation considerably more

Re: Which one result in maths has surprised you the most?

2013-07-09 Thread Jason Resch
On Tue, Jul 9, 2013 at 2:20 PM, John Clark johnkcl...@gmail.com wrote: On Mon, Jul 8, 2013 at 5:16 PM, Jason Resch jasonre...@gmail.com wrote: I think the fact that e^i*PI +1 = 0 surprises almost everyone when they first hear of it. This one is very interesting, but the fact that Pi

Re: Which one result in maths has surprised you the most?

2013-07-09 Thread Alberto G. Corona
The use of the radius instead of diameter is historic and constructive: the circumference was make by turning a rope or a compass a full turn instead of turning a rigid stick half a turn around his center. The former is easier. 2013/7/9 Jason Resch jasonre...@gmail.com On Tue, Jul 9, 2013

Re: Which one result in maths has surprised you the most?

2013-07-08 Thread John Clark
I think the fact that e^i*PI +1 = 0 surprises almost everyone when they first hear of it. I was surprised to learn that infinity times infinity is just the same old infinity but 2 to the power of infinity yields a larger infinity, and I was surprised to learn that there is a proof that some things

Re: Which one result in maths has surprised you the most?

2013-07-08 Thread Jason Resch
On Mon, Jul 8, 2013 at 12:07 PM, John Clark johnkcl...@gmail.com wrote: I think the fact that e^i*PI +1 = 0 surprises almost everyone when they first hear of it. This one is very interesting, but the fact that Pi was a poor choice for the constant makes the equation considerably more ugly

Re: Which one result in maths has surprised you the most?

2013-07-08 Thread Johnathan Corgan
On 07/08/2013 02:16 PM, Jason Resch wrote: This one is very interesting, but the fact that Pi was a poor choice for the constant makes the equation considerably more ugly than it should be. There is a growing movement to usurp the number Pi with the much more important constant 2*Pi (see:

Re: Which one result in maths has surprised you the most?

2013-07-07 Thread Alberto G. Corona
://math.stackexchange.com/questions/2949/which-one-result-in-maths-has-surprised-you-the-most -- 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

Re: Which one result in maths has surprised you the most?

2013-07-07 Thread Richard Ruquist
://existentialtype.wordpress.com/2013/06/22/whats-the-big-deal-with-hott/ 2013/7/6 Telmo Menezes te...@telmomenezes.com http://math.stackexchange.com/questions/2949/which-one-result-in-maths-has-surprised-you-the-most -- You received this message because you are subscribed to the Google

Which one result in maths has surprised you the most?

2013-07-06 Thread Telmo Menezes
http://math.stackexchange.com/questions/2949/which-one-result-in-maths-has-surprised-you-the-most -- 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