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 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 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 :-)
(11-21-2016 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.
I've always felt attracted to transcendental calculations, so I choose:
M=E-e*sin(E)