Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: David Brown Newsgroups: comp.arch Subject: Re: Is Intel exceptionally unsuccessful as an architecture designer? Date: Tue, 24 Sep 2024 08:17:30 +0200 Organization: A noiseless patient Spider Lines: 26 Message-ID: References: <2935676af968e40e7cad204d40cafdcf@www.novabbs.org> <2024Sep18.074007@mips.complang.tuwien.ac.at> <2024Sep18.220953@mips.complang.tuwien.ac.at> <20240922114808.000001f9@yahoo.com> <868qvj96lx.fsf@linuxsc.com> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 24 Sep 2024 08:17:31 +0200 (CEST) Injection-Info: dont-email.me; posting-host="295059a1925683a809cfd14e600ca3af"; logging-data="3269259"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18RB/yChwU52fARsprsBdqLs3hTm2ivkHA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bmHwEd11OJDpHNL4fYmmf/dX7XY= In-Reply-To: Content-Language: en-GB Bytes: 2993 On 24/09/2024 03:00, Lawrence D'Oliveiro wrote: > On Mon, 23 Sep 2024 10:38:40 -0000 (UTC), Thomas Koenig wrote: > >> (Among thers, he left out turbulence, where we have some understanding, >> but do not yet understand the Navier-Stokes equations - one of the >> Millenium Problems). > > I thought the problem with Navier-Stokes is that it assumes > infinitesimally-small particles of fluid, whereas we know that real fluids > are made up of atoms and molecules. > > Remember how Max Planck solved the black-body problem? He knew all about > the previous approach of assuming that matter was made up of little > oscillators, and then trying to work out the limiting behaviour as the > size of those oscillators approached zero -- that didn’t work. So his > breakthrough was in assuming that the oscillators did *not* approach zero > in size, but had some minimum nonzero size. Et voilà ... he got a curve > that actually matched the known behaviour of radiating bodies. And laid > one of the foundation stones of quantum theory in the process. > > Seems a similar thing could be done with Navier-Stokes ... ? Without knowing the history of work on Navier-Stokes, I am /reasonably/ confident that mathematicians have thought about this and tried it.