are there any fun / interactive ways to learn math?i'm a hs dropout who has kind of found an interest in the topic, but i really despise the normal way of learning where you just memorize random shit for the sole sake of memorizing.are there any ways to learn it in a fun way? preferably with a goal in mind. i kind of got the urge to learn when i was delving into 3blue1browns playlist on neural networks which i find super interesting, but got cock blocked by mostly not having any math knowledge. i've heard of the euler project, would that be a good idea? i'm kind of into designing / coming up with my own stuff / making formulas instead of brute-forcing, but i understand i'll probably come to a roadblock pretty quickly this way. only at the second question for now lmao but i didnt invest any time, i'd continue if this is the best way to learn (which it probably isn't but indicates what kind of learning im into, i like learning through doing (if thats even possible here))
>>16863397>instead of brute-forcing*memorizing and applyingwhoops. wanted to mention the fact that people just write brute force programs on that site and call it a day but forget to delete that part since i didn't want to include it
You need Khan Academy first for the basics. You can skip the videos, the important thing are the interactive practice questions. Make your goal the be able to answer them without looking the answer on WolframAloha or some chatbot. Take a look at this resource if you want complementary explanation https://www.stitz-zeager.com/Precalculus4.pdf https://openstax.org/books/calculus-volume-1/pages/1-introduction
This is going to sound very dumb, because it kinda is. But if you wanna "play" with math, I'd suggest plugging some general forms of vaguely familiar equations into a graphing calculator like Desmos and fiddle around with variables. For example, go to https://www.desmos.com/calculator and type the function on the left exactly as you see it. Move the corresponding sliders around to get an idea what each variable in the function does and how it changes the behavior. Then ask yourself questions like "what else can I change?" "what if I add functions together?" and "what does any of this really mean?"This approach won't get you out of doing practice problems and actual fucking math. But it will give you a satisfying sandbox to play around with what you've learned and refine your overall understanding from rote memorization into intuition.
>>16863397Literally just use any of the leading LLMs, lol.It's like having a professor one on one.
>>16863429>>16863443i like these ideas>>16863539yes, that could act as a good crutch. i might also be able to get them to somehow playfully teach me
is it a good idea or not?
Big tech won't deliver. Its all gonna crash.
>>16862870you're drinking way too much kool-aid, dial it back
>>16863145that looks like a whole lotta fake science
>>16863460seems like it
>>16858647
all the other tests are shit (outside of mensa), take this onehttps://openpsychometrics.org/tests/FSIQ/
>>16860936Proof? One single example destroys peer reviewed statistical evidence (Le KeK)Yes, that's how it works.Post IQ + Summoner tag. All season info stays intact
>>16861170>N = 1 overpowers effect sizes observed in large NRetard alert. Never visit this board again.
>>16861184POST IQ + SUMMONER TAGYou're just as retarded as you sound. You proved my point. n=1 does nothing to n=1000. It's called correlation retard, it's the definition ofCORRELATION
>>16849600>refuses to be contained in the box
>>16855850>hope, doomscrollingIt takes 10,000 hours of practice to git gud at something. Does your doomscrolling ever take you through maths vloggers? If so, some of those hours might count towards maths.>MEng, fintech, hated, hateThose are very different kinds of maths. You may prefer certain kinds of maths over others.[math]\begin{align*}f(x) &:= \text{type of maths vlogger}\\f(\text{3Blue1Brown})&=\text{pure//abstract math}\\f(\text{Veritasium})&=\text{applied math//science}\\f(\text{SmarterEveryDay})&=\text{practical//normie engineering}\\f(\text{styropyro})&=\text{experimental//mad-scientist engineering}\end{align*}[/math]
Zhuque-3 EditionPrevious >>16858976
>>16864122>>16864124also how could fungi come from space when we know they are related to animals and plants? they have the same DNA? nice sentiment but completely out of touch with reality.
>>16864127nobody said they came from space retard
https://x.com/tesla/status/1997094007948627975
>>16864135see >>16864122 >it might just be how they got hereboth of (You) (the same person) are retarded
>>16864124>get propelled by solar flare, hitch solar wind>hit by interstellar object and hitch a ride out>get close to some kind of collision or impact and get propelled o escape velocity>naturally disperse through the solar system with the "edge" of the spore cloud eventually drifting out>>16864127DNA might be a pretty universal outcome for biochemical selfreplicators. or panspermia is true and all DNA came here from space anyways
Thoughts on this guy?
smarter than black science man but also less human
>>16848595You do enough trolling through government (read - glownigger) funded university research, DoD SBIR postings, and old shit from the Defense Technical Information Center...it's not nearly as far fetched as what you might think. Like why in the fuck is the US Navy so very interested in cold atom research and polariton lasing systems? I have a pretty good idea
>>16843481Pseud of the highest order and kind of a prick
>>16850109my sex junk>>16848635Your country is turning to Mejico right now
>>16843481He cute
science is so underdeveloped that scientists still confuses humans with animals
in the last 50 years the hard sciences have literally become the retard sciences
>>16863448It's become a form of orthodoxy and cultism.
Why can't we fucking think of anything better?
Science is a joke, simple as.
Genuine question:What if instead of boiling water, we used boiling refrigerant to spin our turbines?Like isn't the whole point of those that they evaporate and condense very clise to room temperature? So why not spin our turbines that way?Is it a thermal expansion thing?
>>16863426Water is cheap, easy to find, and basically harmless.
>>16863426>boiling refrigerantwhats the fucking point when water literally falls out of the sky
>>16863426Water has, by far, the greatest volumetric heat capacity which is really the main thing you care about for this kind of application>>16863492>>16863498These as well.
/mg/ on suicide watchhttps://english.elpais.com/science-tech/2025-06-24/spanish-mathematician-javier-gomez-serrano-and-google-deepmind-team-up-to-solve-the-navier-stokes-million-dollar-problem.html
>ChatGPT - invent a new branch of mathematicsyeah, i'm not holding my breath
>>16863410Looking forward to the solution and it solving actual real world problems. All the wondrous new technology we have from proving the Poincaré conjecture has been incredible
During regular job applications you always tailor everything to the job and remove everything that isn't relevant.For a PhD application, should you do the same or should you add everything because professors have a lot of time?
>>16863146Why the hell don't you have your PhD advisor telling you this already?
>>16863172You can't ask someone who hasn't hired you yet
>>16863146If we're talking cvs, I think it can be longer (2 pages) but put the good stuff first. Most important thing is to find a way to talk to your potential supervisor, even if just emails.
>>16863172>your PhD advisordawg theyre asking about applying to PhD programs
So realistically what would be the cultural, scientific and political outcome of actual alien contact? Even if we just got a simple observation? Do world governments or the scientific community have a plan for that?
>>16858212>it will arrive Thursday, November 27, 2502025!RemindMe
>>16857506I think it could be huge depending on they type of contact. If it's a signal, just the process of deciphering the signal could produce a lot of knowledge for humanity. The signal could also have important information that we don't currently have knowledge of.
>space probe and drone lands on europa in the 2040s>drills down through the ice and starts exploring>the ocean is full of life>people on earth go omg omg aliens we're not alone>everything goes back to normal a week later½
>>16861113It would be a huge discovery that would push science forward. For example what if the conditions were similar to early earth life with the hydrothermal vents and you could actually watch abiogenesis? Or you could actually examine species that are not in earths "evolutionary family tree"?
>>16857822Did they tell you any useful details on constructing starships?
How much time does it take you to study each year to pass? I study only 1 week per year and pass!
>>16863357To pass gas? Brapppppppppppp!
>e = mc2Time will prove that there is a more accurate, complex, and hard-to-know idea that makes this false.No?Fuck off, there can't be anything simple and scientific, simplifying is retarded and useless because of the unknown, the universe is complex, and the more complex the idea, the more realistic.Anything simple is a trap from the simulation to keep you an NPC and dumb.
>>16863436>Time will prove that there is a more accurate, complex, and hard-to-know idea that makes this false.Already happened
From what I've seen, it mostly just appears to be "muh huwhite race" types (not necessarily white people, but really just anyone who categorizes race in such a way) coping that humanity didn't spawn from their preffered area. Am I correct or is there anything actually backing up their claims?
>>16855302Yeah, I am a middle school dropout with more field experience than any graduate and I say this >>16855165 also.>>16855162Because evidence suggests otherwise. There are archaic homos all over the place, indicating that the story is not so simple and, obvious efforts to devalue traditional culture into one giant orgy that we aint invited to.
>>16859513>implication here is evolution only ever occurred in africa, and stopped (or slowed down dramatically) as soon as anyone stepped out of africa.or rather, only thing that ever happened outside of africa is mixing (e.g., neanderthal & cro-magnon dna traces in europeans), with evolution only ever being present in africa.What? How is that implied?
>>16855165>>16855349>>16855352>>16855983>>16859518>>16855979Why is this reply section so full of semantics -_-
Well for one thing, evolution is an obvious lie funded by freemasonic bastards.
Its more complicated than OOAMultiple migration events of hominids and multiple intermixing events.
/k/ does not have smart people so I would like to make this thread here instead. What is the future of warfare for the next few hundreds / thousands of years? I had a very deep conversation with AI about this for hours and in a nutshell we had agreed it would come down to small fast mass produced missile drone swarms (launched from anything really) generally for offense and automatic laser turrets (mounted on anything) that would shoot them down generally for defense and nuclear weaponry lastly. But I am curious as to what other people have to say on the matter. Also yes you could use drones defensively and lasers offensively but it just wouldnt be as cost effective or it would just be for niche applications. I figure that certain things in physics could be abused that would shift the meta towards a certain type of weapon being used more than others and I wouldnt know what that would look like. Maybe even something like a black hole generator but i understand how impractical it is to make even the smallest black holes but just as an example.
>>16862658the first rule about it we don't talk about it
>>16852722You must understand that war does not happen for the reasons that the masses are told.Wars happen on agreement between the ruling powers of either country, to eliminate excess human and material capital. Just look at Ukraine.Source: '1984' 'Catch-22'
>>16862901True, they also wage war to test new weapons to.
>>16863430I mean, first they sent all their old shit to get blown up.They haven't gone all out with their most expensive stuff.
>>16863437Sure sometimes thats true, or they sell off their old stock, youd be baffled knowing how many russian ak47s are running around there in africa and arabia kek
hey /sci/entists, understand parallel realities once for allhttps://youtu.be/98tpPuzauVU?t=60
