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"This may be a graduate class, but it's still called Algebra, so we're doing the quadratic formula on the first day!" --me, apparently
ALT Derivation of the quadratic formula by completing the square.
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You have no idea how much people struggle with fractions. Probability so much harder than algebra. And I literally don't know what people mean by "statistics" for students who don't what the graph of a function means.
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Um... It was embraced and acted on back then too. Wilson segregated the federal government. Indiana Klan members won a majority of the assembly and the governor's office in the early 1920s. Etc. It's called the "Nadir of American race relations" for a reason.
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Canadians think the war of 1812 was when Canada beat the US, and Americans have no idea that the war of 1812 involved Canada in any way.
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Are they just asking to come up with *some* set of 5 with that property? That would be a good question phrased poorly.
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This is the key to the Electoral College distortion. Just a truly enormous number of votes that don’t count for anything.
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The only other thing I can think of is that they forgot that the mean doesn’t have to be in the set?
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Serious answer: the metro area is Champaign-Urbana because Champaign is bigger, but the university is Urbana-Champaign because the main campus is in Urbana.
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Interestingly there’s a huge split between the “verified audience” (92%) which agrees with A- cinemascore (professionally run survey), and the overall RT audience score (74%). Actual audiences loved it, but lots of haters online (many of whom didn’t see it) really do hate it.
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Is there a version of this that says that if you have two teams with the same expected goal differential (or maybe I want a ratio and not a difference?), then the one with better defense wins more games?
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It actually happened in Canada in 1995 that a right wing MP attacked funding for “Lie theory” (named after 19th century Norwegian mathematician Sophus Lie) because we shouldn’t be studying lies.
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I remember thinking "Wait, why does The Mountain Goats music video for Woke Up New have a 3.9/10 rating on IMDB? Who's watching this video who aren't fans of The Mountain Goats?" And then remembering, oh yeah, it's directed by Rian Johnson who is a honeypot for man babies.
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But every five years or so it’s very exciting and close before Dortmund dramatically screws it up at the end.
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This is how I ended up as an NPC in one of my Calc worksheet groups D&D campaign. ("The villain chooses epsilon!")
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When everyone knows this loophole only lets you do crimes with impunity in the part of Yellowstone National Park inside of Idaho: papers.ssrn.com/sol3/papers.…
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New paper! With Nate Harman and Andrew Snowden. A symmetric tensor categories is something that "looks like" the category of representations of a group. You have some "representations" and maps between them, with a notion of tensor product and dual reps.
arxiv.org/abs/2211.15392
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Of course, a tone of deep embarrassment. If I'd meant it as a gotcha it would have been in meme form:
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Math is more like the social sciences because we have grants, but they’re not large enough to justify our existence to the deans.
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x is a variable. 2x+5 is an expression. 2x+5 = 9 is a logical proposition which is either true or valse depending on the value of that variable. You are asking to find the set of values for which that statement is true.
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Using 8 as a cutoff is intentionally tricksy. If 6-12 were an option everyone would get it right.
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Ok, here's a weird pattern. Let's say that there's a partial tie-breaker where Alice wins if the final score is 0 and the last flip is tails. Then it looks like Alice always wins *exactly* one more game. (Then Alice wins by tiebreaker more than once, so Bob wins original game.)
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Right, no one’s complaining about there being a city there, it’s just that it could be a bigger better Barcelona.
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This is partly because MD and MA Republican voters are also well to the left of national Republicans voters, whereas CA Republican voters are *to the right* of national Republicans.
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What I don't get is how anyone thinks you can make a principled distinction between "deamplification" and "normal" operating of a proprietary algorithm. There's no "state of nature" here, once you're doing an algorithmic feed it's editorial decisions all the way down.
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Nick Hornby’s shift from quintessential “lad lit” author to adapting books with a female lead into wonderful screenplays strongly centered on her point of view (An Education, Wild, Brooklyn) is remarkable and surprising.
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“There's no tech charm school that teaches you how to do all that stuff.”
But, this is exactly what elite colleges do! I didn’t know how to behave like a rich person as a poor kid, but then I went to finishing school with people like Matt and now I do.
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A big part of this is that there wasn’t a true “hammer” and US levels never got down very low. There also hasn’t been a “dance” because we wait for levels to skyrocket rather than just increase a tiny bit.
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The point of the basis-free philosophy isn’t to not choose bases, it’s that it frees you to pick the *right* basis when the time comes to start calculating.
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If you say this only in terms of “fear” I think you’re only getting half of the story. The other half is that Evangelicals are *excited* about being under threat, because Jesus says that if you’re a true Christian you will be persecuted.
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On the vast majority of most topics. You’d be badly misinformed on which 2016 candidate was better on data-retention compliance.
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My first guess was wrong because I also looked at expected points. But if expected points are the same and Alice has more scenarios when she runs up the score, then Bob should win more often.
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What data you're talking about? Hospitalizations in DC plateaued around April 20 (with the peak around April 28). So infections slowed down a lot around April 6 or so, with a peak around April 13 or so. That's consistent w/ April 1 shutdown plus in-home spread the first week.
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I think it's only possible with an audience that genuinely understands quantifiers. Just "For all x, there exists y" is very very difficult for most calc students. The other tough part is students struggle with absolute value and with inequalities, better to use intervals.
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From 2006-2022, there were people from Portland with colds buying the cold medicine that works but was banned in Oregon on account of all the meth in Oregon.
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Not to get all serious, but there's a reason for this: almond extract is the flavor of bitter almonds not sweet almonds.
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McKinsey isn't even doing a lot of hiring at state flagships, they're very focused on a tiny number of schools.
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The even weirder thing is she wasn't asking to not have a conservatorship at all, she was just asking to change the conservator from her father to her management company. (It looks like they're now co-conservators.)
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The top players will move to the top clubs in Europe, like how the men's team works. The top women's club teams in Europe pay their stars $500K/year or more.
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I think the issue is more fundamental. It's not that they learned and forgot what an integral is, it's that they think of math as meaningless strings of symbols with rewrite rules for "simplifying." Anything that breaks this paradigm is very hard for most students.
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The way I like to teach this, which I think still most students don't get, is to rephrase the quantifiers as a 2 person game. "First the villain picks epsilon... Then you pick delta... Then the villain picks x within \delta of a (but not a). Now we compute f(x) and see who wins.
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Here's a variant: four people Alice, Bob, Catherine, and Doug, who score points for HH, HT, TH, and TT respectively. By symmetry (switching H/T or the direction of time) each of Bob and Catherine beat each of Alice and Doug. But what happens if they team up B+C vs. A+D?
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The pope isn’t doing this (and actually told the US Bishops to knock it off, they didn’t listen).
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55% of people take less than 1 flight a year. Most of them are nervous about flying when they do fly. You see similar things with security theater, opposed by people who fly regularly, but supported by people who don't.
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Really key point here, it’s not STEM vs humanities, it’s science *and* humanities vs the non-academic majors.
“Tscience/math majors learn the most followed by humanities… But then health, communications, education/social work, and business students learn basically nothing.”
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Whooping Cough is a good comparison. 5 shot sequence as a kid, boosters ever 10 years, but there’s been a lot of breakthroughs and it may get moved to every 5 years.
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But France was invading Russia. The moral principle here isn't that Russia winning wars is bad, it's that invading your neighbors is bad and that Europe doesn't do Napoleon-style wars anymore.
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When I went up for tenure they wanted the published versions of my papers, and for one of them I had to ask on Facebook for someone to send it to me.
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Ooh, there's an "Island of Stability" theory for it too. The existence or not of the Island of Stability is one of my favorite science questions. arxiv.org/abs/1703.04250v1 en.wikipedia.org/wiki/Island…
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Isn’t it that someone has to fly them? So either you have Americans flying planes directly into a war zone and possibly engaging directly with Russia planes, or you have Ukrainian pilots flying a war mission out of Germany. You can’t just put them on a train.
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IMU’s announcement is conspicuously silent about changes to the EOC. Changes there are necessary for the event to continue.
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I don't think the humanities are being defunded because they're not rigorous. Pure math (which along with Chemistry has the lowest grades) is getting treated the same way as humanities in most places, while much less rigorous trade majors are beloved.
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But it overlooks the key anti-woke nature of the text, were Homer alive today he would have written “Tell me, oh muse, of a based and red-pilled gigachad.” In this essay I will…
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Halfway through the movie I whispered “I don’t remember her boyfriends’ names, I just call them Dean and Jess.”
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It’s not even that, the war itself just gets skipped. Main focus is on the run-up and the debate over which side to take (Adams vs Jefferson), and then it just jumps to Andrew Jackson winning a battle after the war ends launching his political career.
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I know IUT was over as mathematics years ago, but it’s kinda sad that it’s over now as memes too. No one’s even bothering to blog about the drama anymore
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Yeah, math is just different. It was revelatory to realize that if I wanted to learn the answer to a scientific question I could often just read it in a research paper. A paper in paleontology is easier for me to understand than a math paper not exactly in my area of expertise.
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DTaP is 4 doses before 18 months, a fifth dose at age 5, and then boosters every 10 years for the rest of your life. But it turns out Whooping Cough immunity wanes too quickly and boosters need to be more frequent.
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One crucial point here is handling non-violent rule breaking (camping overnight) using the ordinary well-established student disciplinary system, not using arrests and trespass notices to skirt due process, shared governance, and students rights.
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The big factor here is language. That English is the language of research so all academics can move to the US, but most Americans are mono-lingual and don’t want to move to non-Anglophone countries. I think the US/UK flow goes the other way.
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I’m from York, and I’m pretty sure you’re wrong about the density of the core cities here. York and Lancaster are mostly 2 and 3 story rowhouses and semidetached. York is 45K people in 4.5 square miles, which is high density.
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I think that's the joke, but there's plenty of conservative presidents of major public universities. Presidents are usually chosen by boards appointed by the governor.
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Where "someone on the list once said something they don't like" = leadership is made up of the most outspoken opponents of diversity efforts in the profession? I'm not going to email strangers about it, but I don't see how you can be genuinely confused about their goals.
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The genetics tells you where the two groups were from who had contact, but it doesn't tell you whose boat was used for the journey. The archaeology tells you that a round trip voyage from Polynesia is much more likely.
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Just that 17% of California would be the 17th largest state, very close to the population of Indiana.
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Obviously British people don't want to believe this one because it used to be very false, but the US has had better beer for at least the past 20 years.
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Look at all games with n flips and take the difference of Alice and Bob’s scores. Now compare the sum of the pth powers of Alice’s win margins to Bob’s win margins. They tie if p=1, and we know Bob wins if p=0. Does Alice win for all p>1 and Bob for all 0<p<1?
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York and Lancaster are both 8.2K/Mi^2. Reading is 9K/Mi^2. Harrisburg is a younger city and is 6K/Mi^2. That puts York and Lancaster denser than Minneapolis, Oakland, and Baltimore.
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SD has a high percentage of Native Americans, and vaccinations through IHS have been a huge success. This effect becomes less visible with time, but see also Alaska and New Mexico.
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Ooh, I want to read that!
I ran across Madhava's work on power series a couple years ago when I was reading up on the history of approximations of pi for a worksheet for honors Calc 2.
(I do somewhat question the framing of 14th-16th century Kerala as "indigenous" though.)
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I take a third option, Noether in the theorem, but also talk about the history of abstract algebra. The whole notion of "abstract algebra" (by which I don't mean group theory or ring theory, but rather the abstract approach) is largely Noether's. One theorem sells her short.
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I think it’s supposed to be Lie’s Theorem, but without the solvable hypothesis stated. en.m.wikipedia.org/wiki/Lie%…
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Yes, you could teach a class like this, but do you really think 8th grade is the appropriate age for it?
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Right. If you go to Dalton (or Stuy, or TJ, or Exeter) you just need to be in the top n. If you go somewhere that’s not a school that is regularly putting multiple students into Harvard, then you need something special in your CV that only describes dozens not thousands.
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New preprint! arxiv.org/abs/2303.10814 It's a follow-up to my last preprint with Nate Harman and Andrew Snowden (see this thread nitter.app/NoahJSnyder/status/159…). We study another new tensor category coming from an oligomorphic group. Here it's attached to the circle rather than the line.
New paper! With Nate Harman and Andrew Snowden. A symmetric tensor categories is something that "looks like" the category of representations of a group. You have some "representations" and maps between them, with a notion of tensor product and dual reps.
arxiv.org/abs/2211.15392
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I think this is very bad advice. It's setting them up for a hard failure when, as is very likely, they get a non-academic job (that they apparently couldn't imagine having) after their PhD. Also it discourages people who don't fit one specific over-confident personality type.
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A clean theorem here is that if they're isomorphic *as algebra objects*, then they differ by tensoring with an invertible. (There's nice generalizations of this statement to algebra objects in fusion categories.)
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I learned about exact sequences when I was 17 and Jared Weinstein was reading some graduate level number theory book and it just mentioned exact sequences assuming you already knew them. Jared worked out the meaning from context and set it as a puzzle for me.
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