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Beauty of Equations?
11-21-2016, 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?
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11-21-2016, 01:26 PM (This post was last modified: 11-21-2016 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 Navier-Stokes equations... this is of course just a personal bias.

"To live or die by your own sword one must first learn to wield it aptly."
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11-21-2016, 05:10 PM
Post: #3
RE: Beauty of Equations?
(11-21-2016 12:14 PM)Gerald H Wrote:  Note error in quiz.

Oh yes, well spotted. Everyone knows that it should be \(e^{i\tau} = 1\)
;-)
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11-21-2016, 08:18 PM
Post: #4
RE: Beauty of Equations?
(11-21-2016 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 Navier-Stokes 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 Navier-Stokes Equations of Fluid Dynamics are "just" seminlinear. However, the proof of the global existence and uniqueness of smooth solutions to the 3D Navier-Stokes Equation is still lacking, it's a Millenium-Problem! Long time ago I did my math. PhD Thesis on timewise Approximation of the Stokes-Equations (which is the Navier-Stokes without convecive term and thus it is linear). Learned to love this set of Equations! Has been exciting years :-)
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11-22-2016, 05:25 PM
Post: #5
RE: Beauty of Equations?
Here's a film of Hannah Fry's choice:

https://www.theguardian.com/science/vide...axies-form
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11-22-2016, 09:08 PM
Post: #6
RE: Beauty of Equations?
(11-22-2016 05:25 PM)Gerald H Wrote:  Here's a film of Hannah Fry's choice:

https://www.theguardian.com/science/vide...axies-form

Great! Thanks for sharing!! :-)
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11-23-2016, 05:54 PM (This post was last modified: 11-23-2016 05:55 PM by Jeff O..)
Post: #7
RE: Beauty of Equations?
(11-21-2016 05:10 PM)BruceH Wrote:  
(11-21-2016 12:14 PM)Gerald H Wrote:  Note error in quiz.

Oh yes, well spotted. Everyone knows that it should be \(e^{i\tau} = 1\)
;-)

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.
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11-26-2016, 03:39 AM (This post was last modified: 11-26-2016 03:40 AM by Santi.)
Post: #8
RE: Beauty of Equations?
I've always felt attracted to transcendental calculations, so I choose:

M=E-e*sin(E)
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