Beauty of Equations?

11212016, 12:14 PM
Post: #1




Beauty of Equations?
Article from today's Guardian:
https://www.theguardian.com/science/2016...beautiful Note error in quiz. Any candidates for attractive equations? 

11212016, 01:26 PM
(This post was last modified: 11212016 01:27 PM by Ángel Martin.)
Post: #2




RE: Beauty of Equations?
Attractive they may not be but to me the superb pinnacle is captured by the Maxwell equations, followed shortly by the NavierStokes equations... this is of course just a personal bias.


11212016, 05:10 PM
Post: #3




RE: Beauty of Equations?
(11212016 12:14 PM)Gerald H Wrote: Note error in quiz. Oh yes, well spotted. Everyone knows that it should be \(e^{i\tau} = 1\) ;) 

11212016, 08:18 PM
Post: #4




RE: Beauty of Equations?
(11212016 01:26 PM)Ángel Martin Wrote: Attractive they may not be but to me the superb pinnacle is captured by the Maxwell equations, followed shortly by the NavierStokes equations... this is of course just a personal bias. Agreed! Even though Nature seems to be nonlinear, Electrodynamics is fully captured by the pure linear Maxwell Equations. Also, The NavierStokes Equations of Fluid Dynamics are "just" seminlinear. However, the proof of the global existence and uniqueness of smooth solutions to the 3D NavierStokes Equation is still lacking, it's a MilleniumProblem! Long time ago I did my math. PhD Thesis on timewise Approximation of the StokesEquations (which is the NavierStokes without convecive term and thus it is linear). Learned to love this set of Equations! Has been exciting years :) 

11222016, 05:25 PM
Post: #5




RE: Beauty of Equations?  
11222016, 09:08 PM
Post: #6




RE: Beauty of Equations?
(11222016 05:25 PM)Gerald H Wrote: Here's a film of Hannah Fry's choice: Great! Thanks for sharing!! :) 

11232016, 05:54 PM
(This post was last modified: 11232016 05:55 PM by Jeff O..)
Post: #7




RE: Beauty of Equations?
(11212016 05:10 PM)BruceH Wrote:(11212016 12:14 PM)Gerald H Wrote: Note error in quiz. I think that would be \(e^{i\tau/2} = 1\), (or preferably, \(e^{i\tau/2} + 1 = 0\)), which kinda sorta shows why tau is wrong, i.e., messes up Euler's identity. Dave  My mind is going  I can feel it. 

11262016, 03:39 AM
(This post was last modified: 11262016 03:40 AM by Santi.)
Post: #8




RE: Beauty of Equations?
I've always felt attracted to transcendental calculations, so I choose:
M=Ee*sin(E) 

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