Beauty of Equations?
11-21-2016, 12:14 PM
Post: #1
 Gerald H Senior Member Posts: 1,458 Joined: May 2014
Beauty of Equations?
Article from today's Guardian:

https://www.theguardian.com/science/2016...-beautiful

Note error in quiz.

Any candidates for attractive equations?
11-21-2016, 01:26 PM (This post was last modified: 11-21-2016 01:27 PM by Ángel Martin.)
Post: #2
 Ángel Martin Senior Member Posts: 1,251 Joined: Dec 2013
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.
11-21-2016, 05:10 PM
Post: #3
 BruceH Senior Member Posts: 355 Joined: Dec 2013
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 $$e^{i\tau} = 1$$
;-)
11-21-2016, 08:18 PM
Post: #4
 JurgenRo Member Posts: 176 Joined: Jul 2015
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 :-)
11-22-2016, 05:25 PM
Post: #5
 Gerald H Senior Member Posts: 1,458 Joined: May 2014
RE: Beauty of Equations?
Here's a film of Hannah Fry's choice:

https://www.theguardian.com/science/vide...axies-form
11-22-2016, 09:08 PM
Post: #6
 JurgenRo Member Posts: 176 Joined: Jul 2015
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!! :-)
11-23-2016, 05:54 PM (This post was last modified: 11-23-2016 05:55 PM by Jeff O..)
Post: #7
 Jeff O. Member Posts: 191 Joined: Dec 2013
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.
11-26-2016, 03:39 AM (This post was last modified: 11-26-2016 03:40 AM by Santi.)
Post: #8
 Santi Junior Member Posts: 6 Joined: Oct 2016
RE: Beauty of Equations?
I've always felt attracted to transcendental calculations, so I choose:

M=E-e*sin(E)
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