What happens is these concepts get beaten into your brain so well that we think we never learned them and it is just "common sense". Not no it is not common sense, the smartest people who ever lived spent much of their life figuring out something in the mid 1600's and you learned it in 10 minutes and then forgot when. But now it is dead-obvious that every whole number is the product of a unique set of primes. How could that NOT be true?
So we are prone to say "It is obvious that..." But then again no one is born knowing this and for most of human history, no one knew this obvious fact. But it becomes obvious after we forget where we learned it. On Wed, Aug 19, 2020 at 8:35 PM John Dammeyer <[email protected]> wrote: > > From: dave engvall [mailto:[email protected]] > > Ah, John, > > In the words of way too many math professors, "It is obvious that ....." > . > > Hear hear! > > Having said that though I must admit I probably use more math than most. > About 11 years ago I had to look up Airy Disk effect and then do the math > to work out lamp positions. > > https://en.wikipedia.org/wiki/Airy_disk#Mathematical_formulation > > I think if anything that came from it all it's that the math courses gave > me the confidence to attempt a solution. It was really cool when the end > result matched the math. > > John Dammeyer > > > > > > On 8/19/20 7:12 PM, John Dammeyer wrote: > > > My computer science degree required 4 terms of calculus, 2 terms of > linear algebra, 2 terms of differential equations, 4 terms of > > physics and 2 terms of statistics. I think that was all of it. I also > took a nuclear physics course that was quite interesting. The diff > > equations were part of the electrical engineering minor. > > > > > > Didn't really do much with astronomy so I really don't quite get how > they figured out the distance to the sun. But I thought it was > > interesting as is the book 'sapiens'. > > > > https://www.amazon.com/Sapiens-Humankind-Yuval-Noah-Harari/dp/0062316095 > > > > > > Oh and I remember almost none of all that math. Too long ago. > > > > > > John Dammeyer > > > > > >> -----Original Message----- > > >> From: Chris Albertson [mailto:[email protected]] > > >> Sent: August-19-20 6:59 PM > > >> To: Enhanced Machine Controller (EMC) > > >> Subject: Re: [Emc-users] OT: Synchronised motion using RS485/CAN bus > motors > > >> > > >> Yes, If this is a theoretical discussion then at the end of all the > chains > > >> of reasoning it all comes to "mutually observed event". If this is > just > > >> engineering then it comes down to "the delay is so fast no one cares". > > >> - > > >> My background is computer science. Computer science is a mash-up of > > >> mathematical theory and practical engineering. In some classes we did > > >> proofs and others we built stuff. It is kind of fun to look both > ways. > > >> > > >> A real disaster happened at TRW some years back where us poor working > > >> minions were required to do proofs on the stuff we were building. > Looking > > >> both ways at the same time did not work. > > >> > > >> On Wed, Aug 19, 2020 at 6:10 PM John Dammeyer <[email protected] > > > > >> wrote: > > >> > > >>> > > >>>> From: John Dammeyer [mailto:[email protected]] > > >>>> I was just reading a few weeks ago in the book "Sapiens" that the > early > > >>> explorers set up an experiment where they would observe an > > >>>> astronomical event from both England and the South Pacific. > Something > > >>> about either time or position. > > >>>> I think it was Cook who was exploring at that point. I'll have to > dig > > >>> through to see exactly what it was. > > >>>> Still quite something to plan on observing something that will take > you > > >>> a year or more before you are even there to do the observing. > > >>> Chapter 15, The marriage of science and empire. James Cook was > > >>> commissioned to take astronomers and others to the pacific to be > there in > > >>> 1769 to measure the duration of the transit that Venus makes across > the > > >>> sun. Apparently measured from different places on earth results in > simple > > >>> trigonometry to determine the distance of the earth from the sun. > > >>> > > >>> Who knew. > > >>> > > >>> John > > >>> > > >>> > > >>> > > >>> > > >>> _______________________________________________ > > >>> Emc-users mailing list > > >>> [email protected] > > >>> https://lists.sourceforge.net/lists/listinfo/emc-users > > >>> > > >> > > >> -- > > >> > > >> Chris Albertson > > >> Redondo Beach, California > > >> > > >> _______________________________________________ > > >> Emc-users mailing list > > >> [email protected] > > >> https://lists.sourceforge.net/lists/listinfo/emc-users > > > > > > > > > _______________________________________________ > > > Emc-users mailing list > > > [email protected] > > > https://lists.sourceforge.net/lists/listinfo/emc-users > > > > > > > > _______________________________________________ > > Emc-users mailing list > > [email protected] > > https://lists.sourceforge.net/lists/listinfo/emc-users > > > > _______________________________________________ > Emc-users mailing list > [email protected] > https://lists.sourceforge.net/lists/listinfo/emc-users > -- Chris Albertson Redondo Beach, California _______________________________________________ Emc-users mailing list [email protected] https://lists.sourceforge.net/lists/listinfo/emc-users
