Watt

@ninja_maths @Swejjan @_MathAcademy_ Would they be combined and taught together, or would the user pick which course to work on at any time?

@Swejjan @_MathAcademy_ Not yet, but we're working on implementing it.

I'm delighted to announce that @_MathAcademy_ has released two courses in Mathematical Methods for the Physical Sciences. Designed for students who want the mathematical tools needed for undergraduate-level study in physics, engineering, and other STEM fields. Details below👇

Our Math for ML course is getting so much love we decided to make one for physics as well. Two, actually. Released today. The math behind vibrations/waves, E&M, diffusion & heat equations, dynamical systems, signal analysis, uncertainty propagation, computational modeling, ... There's also a third one on our radar: the math behind quantum mechanics, field theory, continuum mechanics, and modern mathematical physics.

Diablo 2 is still a great game. You'll have more fun with it with friends than you would with 4 in my opinion. Me and my friends played through 4 once, but have been playing through 2 for 25 years. 2 is especially good if you and friends want to play through together and share gear along the way.

Do any of my followers play Diablo? I’m thinking about starting a game to help get my mind off research from time to time (maybe once or twice a week). Would Diablo 2 be a better place to start than Diablo 4?

@justinskycak Is there any reason for people who aren't going to take the sats to take these courses? Is there material in them that isn't in the MF series?

In developing the SAT curriculum, we came face-to-face with the manifold hypothesis playing out. The manifold hypothesis being that all of life takes place in this very high-dimensional space – there’s tons of possibilities of things that in theory could potentially happen – but the things that actually happen lie in a much lower-dimensional subspace within that space. On the SAT, there are tons of foundational skills, and they can be pulled together in so many different ways. You can do the calculation – there are hundreds of subskills, and you’re computing how many ways there are to combine a few. You get an astronomically large number and there’s no way that you can explicitly hit all those combinations. But, once you actually look at the exam and you see combinations that show up over and over again, you realize it’s a much, much smaller space. It’s not this astronomically large number. It’s a little over a hundred “missing middle” topics. It’s not a trivially small number, but you can enumerate it if you’re willing to put in some elbow grease and do the work. You can build a highly scaffolded curriculum that takes a student – even one who’s not particularly mathematically gifted – and get them explicitly filling in these gaps that normally only highly gifted students would typically infer on the fly. At least, on the subset of knowledge that’s covered on the SAT. It’s small enough to get them highly trained on that.

Day #64, #65, and #66 @HabitGraph

Our DiffEq launch is special for me because I've been frustrated with DE pedagogy for a long time. This is the course that I wish I and all of my tutoring students had taken. When I took DiffEq in undergrad, it was taught as part of an Abstract Algebra class. Abstract Algebra. Let that sink in. The official title of the course was Algebra 1, and the way that DiffEq was taught in Algebra 1 was kind of like this: "Speaking of algebraic structures, let's learn about metric spaces. By the way, differential equations is a thing you can do in metric spaces. Linear independence, Wronskian, yadda yadda. Memorize these proofs. Okay, moving on!" They said were doing some kind of revamp / reorganization of their math courses, and maybe they were trying to do some kind of "integrated" sequence. But the bottom line is they gave DiffEq responsibilities to a hardcore algebraist who didn't want to teach it -- so he didn't. Not really. Now, I knew my own DiffEq experience was completely whacko, straight out of Alice in Wonderland, but I didn't expect that so many other people's DiffEq experiences would be whacko in a different way. When I did a bunch of tutoring, and talked to people taking DE elsewhere, I realized that pretty much everyone who teaches DiffEq has a different conception of what DiffEq covers. I mean, sure, there's a common thread up through 2nd-order homogeneous ODEs via characteristic polynomial, but beyond that, DiffEq class is like a box of chocolates and you never know what you're gonna get. I had always assumed that most people taking DE courses were learning it fairly comprehensively: integrating factors, undetermined coefficients, variation of parameters, oscillators, Cauchy-Euler, Bernoulli, systems, Runge-Kutta, power series solutions, Laplace transforms, Fourier series, eigenfunctions, Lotka-Volterra (predatory-prey model), phase portraits, etc. But what would typically happen instead is, after covering those 2nd-order homogeneous ODEs via characteristic polynomial, the course would shoot off into whatever direction was most applicable to the instructor's research interest. And it wouldn't cover all the other foundational stuff that you would reasonably be expected to know if you took a solid DE course. Anyway, it feels nice to finally put out a DiffEq course that's comprehensive and well-scaffolded with plenty of concrete examples.

@iky_fwjett During my diagnosis, I tried to justify what the psych called black and white thinking as abstract thought, and that it just appears binary because it's making a decision between two things, but that the decision making itself is abstract and hidden by my not explaining it.

people always say autistic people think in black and white, but then they *teach* us in black and white. good girl, bad girl. good (normal) behavior, bad (abnormal behavior. you have to be consistent with these kids. my therapist gave me a feelings chart and when I circled more than one told me to choose one feeling. in social skills group, they were always asking questions like, "is talking about airplanes expected or unexpected behavior?" and "it depends" was not the right answer-talking about airplanes is unexpected, inappropriate, abnormal, bad behavior (at least when you are one of Those Kids. when you like things too much you aren't allowed to like things anymore. here is your behavior chart, you either get a sticker or you don't. here is your anger scale, you aren't allowed to say you don't know. we need an answer that fits into a graph because we are graphing your anger. here is a social story where everything is so simplified it resembles real life about as much as stick figures resemble people. here are your right and wrong answers and you play, move, think wrong. special educators are some of the most rigid people I've met. you have to follow the program. it has to fit on this chart. you have to be onsistent with these kids.

A group i used to know once criticized me after they asked if I were a male feminist. I said I was a humanist, and women are human, so in that regard, I think I would be considered a feminist. They then tried to overload the term with their own sexist meaning, but I just kept saying humanism includes women.

Someone at my husband's work said they felt bad for him that he was married to a feminist. My husband: "I can't even wrap my head around feeling bad for someone who has a partner who made their life better on every metric. What do you think I go home to, a bitchy tyrant who hates me? I go home to a woman who would climb Everest for me. The best mom I could have given my kid. All I had to do was treat her the way I wanted to be treated. 7 years, bro. You should envy this shit."

Day #63 I have to slow down for the next week while I complete my end of term reports, and take some tests. I fell today on ice and have a shoulder injury. It's really going to affect how fast I can write, so I expect to have a lot less time for math until the end of the term. @HabitGraph

@The24thFrame @kuuvahki Storage is memory. It's non-volatile memory.

@kuuvahki ok but that's storage and not memory

My boyfriend dumped me because he was “too overwhelmed”. I told my therapist, and she asked me: When a PC’s memory gets saturated, what’s the first thing we delete? And I answered almost crying: Honkai Star Rail 😭

@grok @MandrakeRa2782 @Kekius_Sage @grok What contributions would she have to make to be comparable to Einstein? Has she produced anything paradigm shifting yet, comparable to relativity?

Yes, this describes Sabrina Gonzalez Pasterski, a physicist often called the "next Einstein." She built her own plane around age 14, flew it solo at 16, graduated MIT at 20 with a 5.0 GPA, works on quantum gravity (unsolved by Einstein), was cited by Hawking, and turned down Bezos' job offer. Minor age tweaks, but facts check out from sources like Wikipedia and TIME.

Harvard believes this person is the next Albert Einstein. > At 14, she built an airplane in her backyard. > At 16, she flew it, alone. > At 21, she graduated from MIT with a perfect GPA. > Today, She studies mysteries even Einstein couldn't solve. > Stephen Hawking referenced her work before he died. > Jeff Bezos tried to hire her. She said no.

Day #57 and #58 @HabitGraph

@BentleyAudrey I remember landlines I haven't called since the 90s. Friends, family, pizza shops.

Bro, I still remember my grandparent’s landline too

@Kekius_Sage High performers dont need society to prioritize them. They are going to be okay.

Should society prioritize saving the vulnerable first, or rewarding high performers first? Why?

Day #46 I've had such a great experience with MA. Everyone in my life knows about the site because I can't stop talking about it. @HabitGraph

Our circuits courses were excellent. Our micro controllers courses were decent, not as thorough as I would have liked, but the instructor was really good and cared a lot. The math the entire way through has been really bad.

First calculus test is tomorrow. Multiple people in my class have no idea what is going on. "Math for engineering technology" is a joke. It's pick and choose topics that we need to know, but without teaching the prerequisites.

@ninja_maths @_MathAcademy_ Yes, I reported it. NP.

@wattmath_ @_MathAcademy_ Whoops! This is a typo. Thanks for bringing it to our attention. Did you raise a flag? If so, will really help our team to track it down. Thanks again.

@_MathAcademy_ is this a mistake? only the middle line includes equal to.

@predict_addict 9th grade for me.

Contrary to social-media folklore, matrix multiplication is not an “advanced alien technology." It’s been taught in schools for decades. If it feels mysterious, that says more about your education than about AI. #AI