The fluid-dynamic calculations of this are hard to do, but any fluid-dynamic calculations are hard to do. This is especially good for migrating birds. The wake of one bird’s flight can make it easier for another bird to stay aloft. We’re pretty confident we know why they do it. That birds will fly in V-formation has long captured people’s imaginations. Oh, and apparently it’s a rerun I hadn’t noticed before that the strip was rerunning. Scott Hilburn’s The Argyle Sweater for the 24th is the Roman numerals joke for this week. If they’re flying towards the lower left corner, then the 5-birds are doing a bit better. Of course, we’re assuming that they’re flying off to the right. Scott Hilburn’s The Argyle Sweater for the 24th of August, 2018. It needs some kind of ascending progression to make waiting for some threshold make sense. And it’s not using arithmetic as the subject easiest to draw on the board. Well, it’s using mathematics as the subject that Not-Wavehead is trying to avoid. That’s not Wavehead! This throws everything off. Mark Anderson’s Andertoons for the 23rd sees Wavehead - waaait a minute. Ew, I wouldn’t want to do that problem on the board either. Mark Anderson’s Andertoons for the 23rd of August, 2018. And there was the decision that this is a field with a question interesting enough to study. Maybe even the Fundamental Theorem of the field. She decides that some consequences of these properties are so interesting as to be named theorems. She decides that some bundle of properties is interesting enough to have a name. Anyone developing new mathematics decides what things seem like useful axioms. Still have no idea whether this comic is still in production.īut it’s hard to shake the feeling that there is invention going on. Gene Mora’s Graffiti for the 22nd of August, 2018. Invention seems like something that reflects an inventor. If something follows by deductive logic from the axioms of the field, and the assumptions that go into a question, then … what’s there to invent? Anyone following the same deductive rules, and using the same axioms and assumptions, would agree on the thing discovered. But are mathematical truths discovered or invented? There seems to be a good argument that mathematical truths are discovered. It does get at one of those questions that, I say without knowledge, is probably less core to philosophers of mathematics than the non-expert would think. It does cry out something which seems true, that was there before Albert Einstein noticed it. Gene Mora’s Graffiti for the 22nd mentions what’s probably the most famous equation after that thing with two times two in it. (I mean, he is a King, and we know he’s not King of Poland, so, you know?) I remember it doing inexplicable election-year jokes at least to 1980 or maybe 1984. I’m curious when the speechwriter character disappeared from the comic strip. Parker and Hart’s Wizard of Id Classics for the 21st of August, 2018.
#Soap bubble problem calculus of variations crack#
And sometimes it’s just so easy to crack an insult there’s no guessing what it’s supposed to mean. But it’s hard to tell 1968 was a long time ago. Given the 1968 publication date I have a suspicion which was more likely intended. Or you can read it as an indictment of students, refusing the hard work of learning while demanding a place in politics. Curious thing about the strip is that you can read it as an indictment of the school system, failing to help students learn basic stuff. Of course they don’t know basic arithmetic. Parker and Hart’s Wizard of Id Classics for the 21st is a joke about the ignorance of students.
Little does Randolph realize that the others are all five-dimensional hyperspheres too. Tom Toles’s Randolph Itch, 2am for the 20th of August, 2018.
But this falls short of mathematical rigor. Do three bubbles? They seem to, when you try blowing bubbles and fitting them together. For example: we know that two bubbles of the same size will join on a flat common surface. There’s less that’s proven about soap bubbles than you might think. They’re the wire frames you dunk into soap film, and pull out again, to see what happens. In soap bubble problems the boundaries have a convenient physical interpretation. The minimum here is a surface with zero mean curvature that satisfies particular boundaries. Most of these fall into the “calculus of variations”, which is good at finding minimums and maximums. There’s fun mathematics to do with soap bubbles. Tom Toles’s Randolph Itch, 2am for the 20th is about a common daydream, that of soap bubbles of weird shapes. I’ve rarely been so glad that Comic Strip Master Command has taken it easy on me for this week. Now I’ve finally had the time to deal with the rest of last week’s comics.
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