tag:blogger.com,1999:blog-5592542.post2697450609852102122..comments2022-04-30T22:39:49.801-07:00Comments on Rondam Ramblings: The unreasonable effectiveness of mathematicsRonhttp://www.blogger.com/profile/11752242624438232184noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-5592542.post-36716544444024490302016-07-28T12:01:20.995-07:002016-07-28T12:01:20.995-07:00Yes, but that's one of the really interesting ...Yes, but that's one of the really interesting things about this: I ended up making an accurate prediction of physical behavior despite the fact that I had the math completely wrong!Ronhttps://www.blogger.com/profile/11752242624438232184noreply@blogger.comtag:blogger.com,1999:blog-5592542.post-67283971829045459612016-07-28T08:12:00.186-07:002016-07-28T08:12:00.186-07:00I think you want a cylindrical Bessel function.I think you want a cylindrical <a href="https://en.wikipedia.org/wiki/Bessel_function" rel="nofollow">Bessel function</a>.Mikhail Francohttps://www.blogger.com/profile/03481680831801564473noreply@blogger.comtag:blogger.com,1999:blog-5592542.post-54726682472727457652016-03-29T09:27:58.721-07:002016-03-29T09:27:58.721-07:00Well I tried the water drop with sin(x^2+y^2)/(x^2...Well I tried the water drop with sin(x^2+y^2)/(x^2+y^2) <br /><br />Looks similar<br /><br />João Lopeshttps://www.blogger.com/profile/01468329263219436770noreply@blogger.comtag:blogger.com,1999:blog-5592542.post-3449845939431756132015-02-12T17:29:26.929-08:002015-02-12T17:29:26.929-08:00Flailure is always an option
This post is nicely ...<i>Flailure is always an option</i><br /><br />This post is nicely consonant with the prior post on <a href="http://www.tjradcliffe.com/?p=1774" rel="nofollow">T.J. Radcliffe's blog.</a> <br /><br />One of the parts I admired about his blog post is this:<br /><br /><i>"I mention this because we rarely see what goes on behind the scientific curtain. There is always a lot of flailing Publiushttps://www.blogger.com/profile/00647613579979908182noreply@blogger.comtag:blogger.com,1999:blog-5592542.post-31829671890260675382015-02-08T16:05:22.954-08:002015-02-08T16:05:22.954-08:00> It is might even be possible to prove that no...> It is might even be possible to prove that no mathematical function can possibly produce all the desired qualitative characteristics of water waves (damping, forward motion in time, conservation of mass) without a spike, but that's above my pay grade.<br /><br />Simulating conservation laws is quite hard; doing so with fluids in computer graphics may not be a solved problem in any Lukehttps://www.blogger.com/profile/18395549142176242491noreply@blogger.com