Beauty of Equations? - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Calculators (and very old HP Computers) (/forum-3.html) +--- Forum: General Forum (/forum-4.html) +--- Thread: Beauty of Equations? (/thread-7275.html) 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)