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Beauty of Equations? - Gerald H - 11-21-2016 12:14 PM
Article from today's Guardian:
https://www.theguardian.com/science/2016/nov/21/magic-numbers-can-maths-equations-be-beautiful
Note error in quiz.
Any candidates for attractive equations?
RE: Beauty of Equations? - Ángel Martin - 11-21-2016 01:26 PM
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.
RE: Beauty of Equations? - BruceH - 11-21-2016 05:10 PM
(11-21-2016 12:14 PM)Gerald H Wrote: Note error in quiz.
Oh yes, well spotted. Everyone knows that it should be \(e^{i\tau} = 1\)
;-)
RE: Beauty of Equations? - JurgenRo - 11-21-2016 08:18 PM
(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 :-)
RE: Beauty of Equations? - Gerald H - 11-22-2016 05:25 PM
Here's a film of Hannah Fry's choice:
https://www.theguardian.com/science/video/2016/nov/22/beautiful-equations-how-insects-walk-on-water-and-galaxies-form
RE: Beauty of Equations? - JurgenRo - 11-22-2016 09:08 PM
(11-22-2016 05:25 PM)Gerald H Wrote: Here's a film of Hannah Fry's choice:
https://www.theguardian.com/science/video/2016/nov/22/beautiful-equations-how-insects-walk-on-water-and-galaxies-form
Great! Thanks for sharing!! :-)
RE: Beauty of Equations? - Jeff O. - 11-23-2016 05:54 PM
(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.
RE: Beauty of Equations? - Santi - 11-26-2016 03:39 AM
I've always felt attracted to transcendental calculations, so I choose:
M=E-e*sin(E)