Lake Baikal ( by-KAHL, -โ KAL; Russian: Oะทะตัะพ ะะฐะนะบะฐะป, romanized: Ozero Baykal [หozสฒษชrษ bษjหkaษซ]; Buryat: ะะฐะนะณะฐะป ะดะฐะปะฐะน, romanized: Baigal dalai) is a rift lake in Russia. It is situated in southern Siberia, between the federal subjects of Irkutsk Oblast to the northwest and the Republic of Buryatia to the southeast. At 31,722 km2 (12,248 sq mi)โsl...
#Nerdy Things
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the deepest lake in the the entire world
there's some unique marine species that managed to make thier way to lake Baikal millions of years ago and evolved into thier own subspecies like the Baikal seal
still to this day no one is quite sure how they ended up there but the most plausible theory is that they made thier way to lake Baikal through the many river systems that flow from far northen Siberia all the way to the lake around a few million years ago
probably during the end of the last ice age
the Baikal seals look almost identical to any other species of seals with their only difference being thier size unlike other common seal species the Baikal seals are much shorter and can only live in freshwater environments
unfortunately they're a rare and endangered species nowadays
when Russia conquered and colonized Siberia between the 17th to 19th centuries they were hunted for thier meatโfat and pelt
https://www.youtube.com/watch?v=sMMiBEhnizE first time I have ever heard about FPGA emulators
Today, Iโm wrestling with the question thatโs on everyoneโs mindโฆ if software emulators are so good and inexpensive, then why are there people spending the money on FPGA-based devices like the Analogue Pocket and the MiSTer? But in order to understand this, we need to go a bit deep.
So, in this video, Iโm going to take you through the basics of ...
sounds: Expensive!!!!!!!!
Are there FPGA emulators capable of running ps2 games? if there are they probably cost 500 united statian dollar
You can get FPGA chips that are more expensive than a car. 500 dollars arent that much. Specwise it might be hard for an FPGA to compete, due to the amount of overhead they need. so idk if there are FPGA's that could fully mimic the PS2's behaviour.
Though if I look at this, I'm gonna go with probably
They are. I've got this development board. Its basically an FPGA that also has a dual core processor in it. So you can do pretty wacky stuff like add custom hardware acceleration to the processors.
I really need to start using it more tbh
in 2019 when I was an intern in my school's robotics laboratory the electrical engineering students were using fpgas (for something I don't remember). they had a development board like that
If you're interested in getting one, this is a great place to find them https://digilent.com/shop/fpga-boards/development-boards/introductory-boards/
seal seal seal seal seal seal seal
master sword I 3D printed last October
Any bio majors who know what the correct answer is? and how?
I think that youre supposed to make the girl married to the hemophiliac (im assuming this is hemophilia) man a carrier and have the man as "normal." Since she isnt a daughter of the first generation she doesnt count towards the rules I think
Im not a bio major so sorry if thats wrong
I'll see what I can do
can someone help me out? why is my OBS so zoomed in?
giant sticker sheet jumpscare
Thats a SEED kit but I cant tell which
can a planets core be hollow while still maintaining its shape and not collapsing in on itself
i need to know this since i am playing a totally scientifically accurate game where you play as dwarves and shoot bugs
Not really, no. Ignoring all of the other issues, it would collapse due to all the mass pushing down from above. You would need an obscenely strong support structure to resist the sextillions of tons pushing down on it.
Tangentially related: the laws of physics allow for donut shaped planets
It's just that it's super turbo mega unlikely to happen naturally ๐
Yeah, I talked about that before. In Relaxed Chat.
What is worse to consume too much of? Trans fat? Or sugar?
I have been avoiding the former like the plague (anything with margarine or shortening is off limits) but I still consume a lot of sugar, despite me trying to cut down on it a little, as even healthy foods have natural sugars. Iโve heard that trans fats were banned in the US, so they have to be pretty bad right?
You probably shouldnt consume too much of either
Thatโs true
Trans fats are instant artery cloggers
I would eat a fuckload of sugar every day over them
My fellows, Certified Banger Alert https://www.nature.com/articles/s41586-024-07024-9
An AI has been developed to allow for greater control of the plasma ring in a tokamak style fusion reactor
this is the hard to understand actual scientific paper. Nature has not published a dumbed down press release for us yet but a few other websites have
Does anyone have a recommendation how I can sort my storage on my computer. One of my drives is getting full and I want to move stuff and just easily see what's taking up space. Any programs or the like that can help with that.
So, I've been getting into Algebra 2 recently and I got to factoring polynomials. Is there a proof on why certain factoring strategies work? Like, I know x^2(x-4) + 6(x-4) turns into (x-4)(x^2+6) but... why? It just doesn't make sense in my head why it works. It works sometimes, sure, but I don't know how/when to use it correctly. Is it the distributive property kind of thing, or is it something else?
It works because of the way you multiply things
If you multiply out this:
x(a+b)=ax + bx,
Aka you multiply x with every member of the parentheses and put a plus sign in betweem them
So if you have
(x-4)(xยฒ+6), you can treat (x-4) as one number, multiplying each member of the second parentheses and adding a plus im between them
(x-4)(xยฒ+6) = (x-4)xยฒ + 6(x-4).
Factorising is just doing the reverse.
Another example:
Since
(x-4)(xยฒ+6) can also be
(xยฒ+6)x + (-4)(xยฒ+6) = (xยฒ+6)x - 4(xยฒ+6) you can factorise out the (xยฒ+6) back into
(x-4)(xยฒ+6)
Oh that makes a lot of sense actually, so it is basically just the distributive property. Thanks, that actually really helps!
Np
rising freedom
This is not a clade right? Because the subgroup doesn't include the branch next to d, right?
anyone who uses Davinci Resolve:
My footage keeps getting corrupted and I keep needing to exit out of the app in order to fix it. This happens consistently. How it gets corrupted is it plays back the same exact clip for every clip in the timeline and it rapidly flashes black. I basically consider this a crash, because, once again, no i know to fix it. Itโs driving me nuts because thereโs no solution online for my exact problem.
Please, if you know, can you tell me why this is happening or how I can fix it?
All the best firearms history channels streaming to all major devices:
weaponsandwar.tv
Today I am joined by Jonathan Ferguson, Keeper of Firearms and Artillery at the British Royal Armouries for a Q&A session, with questions provided by the fine folks who support Forgotten Weapons on Patreon...
1:02 - Would the L85A1 have been better if Enfie...
I love how his full title is in every video now
Yes very good
Youtube has this awful feature which cuts video titles if they are too long
And then hovering my mouse above the video doesn't show it!
Terrible ๐
Hello, cool thing fandom
https://www.nature.com/articles/d41586-024-00333-z
One of the projectโs goals is to find fingerprints left in the CMB by gravitational waves that originated from the Big Bang itself. These would provide the first incontrovertible evidence for cosmic inflation, a brief moment in which expansion is thought to have proceeded at an exponential rate. During that time, quantum fluctuations on a microscopic scale are thought to have seeded the Universe with what became its large-scale structure โ including the current distribution of clusters of galaxies across space. mad science a few months away
The constriction is set to be concluded in a few weeks ๐
Are fire alarms considered nerdy enough?
https://www.youtube.com/watch?v=mlqpFfxW4ls cool thing cool thing cool thing cool ting
In this video, we revisit my modern take on Hero's automaton and talk about the automata-making tradition in antiquity.
Dr. Grillos Edition of Hero's Automata: https://theses.gla.ac.uk/76774/7/2019GrilloPhD.pdf
My earlier video on automata: https://youtu.be/7SizOOmej1A?si=661OVsG9aC60CcaD
Click Spring's Antikythera mechanism video: https://yo...
this is a second video. in the first one he built the same automaton but it didn't move very well
The guy in the video talks extensively about greek history and writtings on automata
New cool thing https://www.quantamagazine.org/the-best-qubits-for-quantum-computing-might-just-be-atoms-20240325/
Be notified
first "polarized" image of our galaxy's supermassive black hole.
the definitions of cool thing have been updated https://www.youtube.com/watch?v=v2VKxFhl6Aw
The Zero to ASIC Course covers everything you need to design your own chips.
Sign up to the newsletter - https://www.zerotoasiccourse.com/newsletter
Come observe, cool thing fandom https://www.nature.com/articles/d41586-024-00930-y
Get a copy of What If? 2 and Randallโs other books at: https://xkcd.com/books
More serious answers to absurd questions at: https://what-if.xkcd.com/
What if I took a swim in a typical spent nuclear fuel pool? Would I need to dive to actually experience a fatal amount of radiation? How long could I safely stay at the surface?
Randall Munroe is ...
yo they animated one of my favourite what if questions
it has one of the funniest answers of any question lmao
if you tried to swim in a nuclear waste pool ||they'd shoot you before you got there||
I have watched all the videos of this series published so far and I have to say:
cool thing cool thing cool thing cool thing cool thing cool thing cool thing cool thin
https://www.youtube.com/playlist?list=PLZioPDnFPNsHnyxfygxA0to4RXv4_jDU2
cool thing fandom, ve notified of cool thing
https://www.quantamagazine.org/dark-energy-may-be-weakening-major-astrophysics-study-finds-20240404/
Read this interesting paragraph I found in a book
Observe this other very interesting paragraph
This implies Saint Augustine thought mathematical truth is independent of god's will
Very interesting
Now that I remembered I remember: I had a friend in high school who had this same idea
He thought god could not be said to be omnipotent as he could not change math
Fun memories ๐
I find this fascinating https://www.youtube.com/watch?v=PXmnOnomWVM
1โhttps://youtu.be/--qqFnPk3KM
2โhttps://youtu.be/YaCqHMrxgTE
3โhttps://youtu.be/NiyUUhnBaiI
4โhttps://youtu.be/kfSaQpcEbHE
5โhttps://youtu.be/A8oWZus3Nf8
ไปๅใใใคใฝใผใฎใชใผใซใผใณใใคใไฝฟใฃใฆๅฐใใชใใใใใไฝใฃใฆใฟใพใใใ
่ฃฝไฝๆ้ใฏ7ๆฅใงใใใ
่จญ่จไธญใฎๅ็ปใฏไปฅไธใใ(็ทจ้็กใใซใคใ้ทใใฎใง่ถ
ๆใชไบบๅใ)
https://youtube.com/live/DER1sXF_z9A
https://youtube.com/live/R7aK0daOVvs
https://youtube.com/live/J_a-UGM3Vpg
h...
cool thing cool thing cool thing cool thin
this is so cool
@hollow dagger
you can see the ports on the left
so it's a 3.5mm jack... to Gamecube controller port adapter?
yeah
they're both analogue signals so you can do some cool fuckery
I appreciate that they still made it look like a Wii
yeah!
i mean, people have made game boy color-sized wiis since quite a while so i'm not THAT surprised
Also the link contains the full instructions and parts to build your own, very cool this is made public
but man that trick to downsize the gamecube controller port is absolutely wild, thanks for sharing!
honestly, that makes me realise how inefficient the Wii main board is
they could have packed components so much closer if it wasn't for the Wii just being a Gamecube 2
That looks awesome
Might be a fun side project
ninty hardware modding is so funny
I'm still not over the GBA macro
it's a nintendo DS with the top lopped off
ive considered making one of these for a cousin of mine as a birthday present
he was real into wiis and gameboys and im sure he would be estatic to have one
same thing with a few others of my friends
yeah i opted out of this earlier
Thanks to Waterstones for choosing Humble Pi as a 'top 100' paperback of the year.
https://www.waterstones.com/book/humble-pi/matt-parker/9780141989143
Signed copies are available at Maths Gear. It's cheaper at Waterstones, but not signed. You choose!
https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback
Thanks to Rober...
imagine making a fuckup that survives 5000 years
I am guessing it will be about when the scribe wrote the area wrong in the Rhind papyrus
The soomers and clay tablet are trying to lead me to believe it happened in mesopotamia instead, I won't fall for their deceit
I shall watch the video and find out in 3 hours ๐
oh no it was not the rhind papyrus scribe error
.
I wonder what is the most fucked up shape that tiles a plane
I mean a single shape, not a set of freaky fucked up shapes
Maybe it's the Einstein tile
(unrelated to albert einstein)
not my image but here you go
Reddit is telling me the amogus tiles the plane
https://www.reddit.com/r/theydidthemath/comments/u4o7xc/request_does_the_interlocking_among_us_tile_the/
Insanity
i forgot the backpack thats what i missed
๐
Oooooo
now to print 2 days worth of parts
question for you guys
i'm looking into a new graphics card and i was wondering if anyone had any advice or recommendations on a budget cause i have no clue what i'm doing
i already have an amd processor so i'm looking for a matching gpu but that's about as far as my preferences go
right now i have a 480 and i'm not sure how good or bad that is
standard request for relevant info:
What CPU?
What budget?
What intended use case?
- amd ryzen 7 2700x 8-core is what my pc says, so i hope those mean something to you
- budget is flexible, hoping to not break $200 but it's kind of on a case-by-case basis and i'm willing to break that if it turns out that's so low there's no point in upgrading
- pretty intensive i think, i play quite a few games (mostly indie, so not quite as demanding, but still), i draw, and i record and edit videos
There's a GTX480, and an RX480, with about a decade between them :p going to assume the latter
lol whoops, yeah you're right
Editing videos is likely the most intensive thing there, so yeah a better gpu wouldn't hurt, not entirely sure what you can get for $200 currently in the US, ik here 1660s are about $140-$150 and would be a decent step up, possibly if you sell your old card can stretch to a gtx2070? (buying used)
I don't really know AMDs budget offerings so I'll leave it to others
the gtx are nvidia rather then amd, but mismatch doesn't really matter
o7 got it, thanks!
oh wait am i gonna need like
thermal paste to put on it?
i'm gonna be safe and get some anyways, it's not very expensive
no
not unless you want to dismantle your gpu to repaste it
strongly advised not to unless you know what you're doing :p
welp lmao
and even if you do know what you are doing its not hard to fuck up
shoutout to me for forgetting to remove the peel on a new cpu cooler and wondering why the hell my pc was running at 95c
rip heatbed cable cover
good thing it was 3d printed and I could easily replace it
context: I set the bed temp too high and melted the cable cover at some point, and I had to get a cable that was threaded through the piece out, so I blasted it with a heat gun, partially melted it, and ripped it into two
I don't know where else to put these guys but here
I got Warhammer 40k: Dawn of War a couple days ago and I've made a bunch of different Space Marine and Chaos Marine legions using the army painter
holy shit todd howard
this openly accessible scientific paper with 262 citations teaches you how to be a mega nerd more effectively https://cognitiveresearchjournal.springeropen.com/articles/10.1186/s41235-017-0087-y
SpringerOpen
The science of learning has made a considerable contribution to our understanding of effective teaching and learning strategies. However, few instructors outside of the field are privy to this research. In this tutorial review, we focus on six specific cognitive strategies that have received robust support from decades of research: spaced practi...
in it:
how to use the spacing effect to learn
how to use retrieval testing to learn
how to use interleaving to learn
how to question yourself to learn
and more
toroidal worlds are fascinating. With how their gravity and tectonics work and how on the inside, you will see the other side of the planet arching overhead, glowing with a bright light of reflected sunlight.
Gravity also isn't uniform.
new 'eritasium!!!!!
https://www.youtube.com/watch?v=6akmv1bsz1M
Einstein was wrong about black holes, what else? Use code veritasium at the link below to get an exclusive 60% off an annual Incogni plan: https://incogni.com/veritasium
A massive thank you to Prof. Geraint F. Lewis and Prof. Juan Maldacena for their expertise and help with this video.
A huge thank you to those who helped us understand this c...
about Einstein's field equations and black holes
What an utter and complete load of bullshit https://www.science.org/content/article/what-philippine-court-ruling-means-transgenic-golden-rice-once-hailed-dietary
For those on the other side of the dispute, the decision โis a monumental win for Filipino farmers and Filipino people,โ Greenpeace Southeast Asia campaigner Wilhelmina Pelegrina said in a statement.
Who needs moustache twirling villains when you have Greenpeace campaigning for early childhood malnutrition and against nuclear power?
Economists wrote a book on capping wealth, ignore the theme for a bit https://www.nature.com/articles/d41586-024-01276-1
wealth limit on the order of 10 million euros or US dollars per person. I find this an ultra super intriguing proposal because the people who truly are Greedmaxxing to the extreme would start having absolutely gigantic families so they could still have wealth beyond measure
I find this possible side effect very funny
Elon Musk has like 30 children, and we aren't even wealth capped yet
Personally I woulf put the wealth cap at 100 million dollars because that's the amount I think I would hoard without getting mad if someone was taking the rest off. If I was a gigarich I would be MAD if they capped my wealth at 10 million ๐
trueeeee
i think logically the best you could get people to agree to is a 1 billion cap, but 100 million or even 10 million is absolutely enough to live off of in absolute luxury and it SHOULD be capped there
After reading this brief review, I think two oppositions could be brought up:
- Capping wealth might make the super wealthy greedmaxxers try to take all their money and business to another country that doesn't cap wealth
- Distributing the wealth might lead to hyper inflation, resulting after time passes in little to no increase in the quality of life of the average person (think about it, the guy that owns the bakery sells a loaf of bread for a dollar, but now he knows people would still have the money to pay if he charged 20 bucks per loaf. Every business in the world would make a similar realization eventually. We can see this happening today by how countries have different costs of living and even in the same country prices for the same products differ wildly by the average income of the place they are being sold at). I recall studies on small scale UBI programs found it didn't raise costs of living or raised them less than the new surplus money of the population. more research is needed ๐ฆ
But also, I think this could lead to more business competing, as now it becomes harder to just buy a poorer business competitor as wealth is capped
๐
Economy always seems so kongplicated
Also the definition of what is wealth could have wonky effects. Lets say you have 2 million dollars, a million of which are money you hold and a million are part of your net worth as stocks. Suppose your company shoots up in value, and now your stocks are worth twelve times more than they were at the beginning. Now you technically have 13 million dollars of net worth, but you don't actually have that much in money. What to to now? How would the cap be enforced? would the stocks be seized so you get back to 10 million or would it only be applied on money your hold? On the first case a lot of investors would get really MAD at their stocks being seized due to random stock market bullshit while on the second there is now a loophole that let's people dodge the cap by using stocks as essentially a second bank
Maybe seize the stock shares but give them back if they de-value so you always stay at 10 million ๐ฆ
I dont know why but I imagined a far flung future where dollars are worth so little that the wealth cap is stuck at what is today like 10 usd
man. yeah. yeah...
i was personally a little worried about like, the consumer waste that might happen
cause a super wealthy person wouldn't want to give away their money, so they might buy up more houses and cars and start more businesses and dump that money into the stock market
which would be good in terms of industry, but i would worry about all these things that are only being bought to store wealth
idk if that makes sense, correct me if that's nonsense
This is what people who believe in trickle down economics think happens in real life
๐
They think the mega wealthy are constantly trying to spend all their money at all times with investments
lol nope
if they are, it's going into themselves and the things that make them money
exciting news DIY semiconductor fandom. a brand new DIY semiconductor video has dropped https://www.youtube.com/watch?v=O7xH9ZSp_B4
Can we make photosensitive pixels from Copper Oxide?
Huge thanks to Molecular Vista for helping out with their Vista 200 microscope! https://molecularvista.com/
==== Links ====
- Background on PiFM and PiF-IR: https://molecularvista.com/technology/pifm-and-pif-ir/scientific-principles/
- Electron Beam Lithography: https://www.youtube.com/watc...
rejoice
I found yet another youtube channel trying to make home made semiconductors https://www.youtube.com/@projectsinflight
YouTube
Welcome to ProjectsInFlight!
DISCLAIMER: The videos on this channel feature materials, equipment, and activities that may be hazardous. By choosing to replicate or participate in any demonstrated activities, you acknowledge and assume all associated risks. You the viewer are responsible for your own safety. ProjectsInFlight and its creators ar...
very nice. DIY semicondutor renaissance
can someone help me replace my windows 7 for an updated version of Linux?
well i wanted to replace my windows 7 for a Linux so that my computer would run faster
since mine is a used one and like one of those that the "case" is inside the monitor itself
Do you already have a distro in mind? ๐
@royal drift
I am assuming it is intended to run on old hardware, so I recommend a lightweight distro. Usually lightweight distros are kinda ugly looking but if you don't mind there is Lubuntu: https://lubuntu.me/
Lubuntu is an ubuntu based distribution that comes with the LXQt desktop environment.
But for any distro you choose, you will download an ISO file (for lubuntu, it is right here https://lubuntu.me/downloads/) and you will need to burn it into a bootable USB. You can use rufus for that https://rufus.ie/pt_BR/
Alternatively, if you already have access to a computer running linux, you can do it without installing anything by using command line programs. On the command line, find the path to the usb drive and format it [I don't remember exactly how to do it through the command line but it is possible. Most file managers will let you format a drive as well]. then, you will run the following command:
dd if=[path to iso] of=[path to pendrive, usually /dev/sdb1 if there are no other drives, ALWAYS REMEMBER TO VERIFY THIS] bs=4M status=progress
And then wait as the dd utility writes the contents of the iso file to the pendrive.
Boot through the pendrive, you might need to change BIOS or UEFI settings for this, you will need to knkw which key opens the boot menu (probably F2, F11, F12 or DEL) usually there is an option to boot to the distro, choose it. Then select "install [distro]" or whatever it's called. It's a graphical install wizard that will guide you through the installation.
The important thing comes when it is time to format the hard drive: if you want to completely replace windows, choose "wipe drive and install [os]" or something of the like. You can also install it alongside windows for a dual boot setup
Rufus: Create bootable USB drives the easy way
LXQt is very lightweight but also it isn't a lot like windows. If you think the PC can handle it, you could install kubuntu instead https://kubuntu.org/
Kubuntu is also ubuntu-based, but it comes with the plasma desktop environment as well as several KDE applications. The plasma desktop environment is MUCH more windows-like AND pretty, but it's also much heavier. I use it and it, alone, consumes 800 mb of ram by itself. Really old hardware might not be able to handle it
for comparison, the first image is a screenshot of a typical LXQt out-of-the-box appearance while the second is a screenshot of my current setup with KDE
I recommend that, if you plan on using discord on this pc, you immediately install flathub https://flathub.org/ (can be done with "sudo apt install flatpak" on the terminal emulator if you go with an ubuntu-based distro) and then install discord through it (with the command "flatpak install flathub com.discordapp.Discord"). This is because discord from flathub is updated automatically while if you use the dpgk package or the repository versions you might have to manually update it every now and then
flatpak is also convenient to install a bunch of other programs you might want
to update the installed programs on an ubuntu-based system if that is what you want to go with use the following commands on a terminal emulator:
sudo apt update
sudo apt upgrade
to update programs installed through flatpak, you can use:
flatpak update
there most likely are graphical package managers that come with the system that will let you do all of this if you don't want to use the terminal but that tends to be distribution specific
I guess i should take my computer to a I.T guy to that for me because I'll probably fuck this up somehow
nah it's easy and straightforward ๐ฆ
was gonna say no youd need to talk to my friends about it, but im realizing I know more than probably most average people lol
I mean I don't know much about music theory, school orchestra was a long time ago
but I know about triple time
(9/8 got kicked out of the family photo for being weird I guess)
I had a marimba solo that started in 7/8 and switched to 9/8 by the end of it back in highschool band
My condolences
hey there :)
question for all linux nerds, is it possible to use a swap file (on ubuntu) on another drive than the one the system is installed on?
context: I have ubuntu mate 22.04 (i think, don't quote me on that) installed on a 64gb SD card running on a pi 3b+, and I want to use an SSD as an external storage device/swap
it was actually quite fun to play, but I think I just internalize time signatures quite differently because quite a few people were having issues with coming in at the right times and even playing the right things
chat I have a brand new interpretation on the iconic Socratic dialogues "Sophist" and "Statesman"
I think Plato made it so a visiting philosopher rather than socrates is the one having the conversation with Theaetetus because the guy clearly knows stuff while Socrates whole Gimmick is not knowing stuff
Clever Plato
Thinking about how numbers that have digits that when added are divisible by 3 or 9, and how the whole number itself is then divisible by 3 or 9
but thinking in a base 9 counting system I believe 4 would also fit that bill
This is a good video https://youtu.be/Ozj_xU0rSyY
The 1.0 RISC-V Vector Specification is now Ratified, and the first pieces of silicon using the new spec are starting to hit the shelves. I go over the utility of Vector Instructions, why you would want them, why you should care, and how to use them in raw assembly code! We also touch on some complex computer engineering topics like Vector Leng...
In this video featured:
An explanation of vector instructions
An explanation of RISC-V
A review of a RISC-V development board which features a processor with support for vector instructions
An explanation of why this is a big deal
Occasional references to the anime: "Serial Experiments: Lain"
Corporal Jackie was a baboon in the South African army during World War I. He was made their mascot when his owner was drafted into war, and would not leave Jackie at home. Jackie received various injuries during the war such as having shrapnel lodged in his leg and arm, along with having his right leg blown off. Jackie was trained to salute whe...
Have I never read the book series these guys are from? No. Did my 10 old self want them anyways? Yes. Will get the last three to complete the set? ABSOLUTELY
Anyone want to take a crack at explaining this anomaly?
Was that photo taken through a window?
No
can someone help me with an audio issue on my PC? I'm only hearing audio through the left side of my headphones
however, all tests in windows have both sides working
but literally anything besides a headphone test and I only hear through one ear
this has me so confused now
welp as soon as I ask for help I find the issue
lmao
WINGS OF FIRE SPOTTED
these are wonderful thank you for sharing
peril, starflight, tsunami, clay, and glory, right? or has my ancient knowledge failed me
which means sunny is missing
unless they're just supposed to be the species and not specific characters, which means you're missing a sandwing (sunny), an icewing, and whichever one i can't remember
i stopped keeping up with the series about the time they introduced the new continent with the three or so new species
Hey i need some pc advice
So Iโm preparing to buy my first pc, and iโm getting it premade because i dont trust myself
Is digitalstorm a reliable pc building website?
Or is there a better website i can go to?
I live in the US if thatโs a factor btw
the only one ive had experience with was Microcenter
which may or may not be around where you are at
from what I hear about digital storm though is its not bad
you can find cheaper though typically, compared to what Im seeing on their website
microcenter is pretty good if you have no alternatives
technically anything is pretty good if you have no alternatives
https://en.wikipedia.org/wiki/Hyperreal_number look at this cool thing
Home of: infinitesimals
Hyperreal numbers are one of the ways of doing non-standard analysis (the other one being Internal Set Theory)
non standard analysis seems so interesting ๐
I love Infinitesimals.
Wikipedia claims that research agrees with my opinion
very nice ๐
Calculus Made Easy, me favorite Calc 1 textbook, is based entirely on infinitesimals and it is absurdly intuitive
I think "getting it" with infinitesimals also made me better at getting it with limits
For any finite hyperreal number x, the standard part, st(x), is defined as the unique closest real number to x; it necessarily differs from x only infinitesimally. The standard part function can also be defined for infinite hyperreal numbers as follows: If x is a positive infinite hyperreal number, set st(x) to be the extended real number + โ {\displaystyle +\infty }, and likewise, if x is a negative infinite hyperreal number, set st(x) to be โ โ {\displaystyle -\infty } (the idea is that an infinite hyperreal number should be smaller than the "true" absolute infinity but closer to it than any real number is).
The standard part function is how we can differentiate with infinitesimals. Very good and pure, I do not like this extension to the infinities thoe
infinity is not a number silly 'athematicians! ๐
jesting here, as I know it must be expandable and consistent as very clever people have proven this is true
I don't like it though
The use of the standard part in the definition of the derivative is a rigorous alternative to the traditional practice of neglecting the square tis how it is done in calculus made easy
we neglect the 'quared infinitesimals
Infinity (specifically Countable Infinity) is a number that describes the cardinality of the set of Natural Numbers.
But there is nothing between โต(n), for any ordinal number n, and โต(n+1). โต(n+1) is the powerset of โต(n), thus, there is nothing between โต(n) and 2^โต(n)
good and old continuum hypothesis
It just isn't a Real number. It is its own class of numbers.
But it is still a number. As I see it.
I remembered something about the continuum hypothesis that was mentioned in my discrete mathematics class
I recall some guy and Gรถdel proved that the continuum hypothesis can not be proved, and that assuming it as true or false will lead to equally consistent (but different) versions of set theory
Gordel
I wonder what the set theory that assumes it as false (that is, there is a set with a cardinality between that of the naturals and reals) is like
The guy was Paul Cohen and Gรถdel just verified the proof was valid
cool book
a comprehensive list of all 48 regular polyhedra in 3D Euclidean space
primary source: https://link.springer.com/article/10.1007%2FPL00009304
bgm: https://queerduckrecords.bandcamp.com/track/apeirohedron
visualization tool for the shapes in this video: https://cpjsmith.uk/regularpolyhedra
still one of the funniest fucking videos on all of youtube
the title is not clickbait.
Jan Misali is great.
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals. The book is available freely online and is currently published by Dover.
might take a look later (in several months)
Keisler also published a companion book, Foundations of Infinitesimal Calculus, for instructors, which covers the foundational material in more depth. oh my ๐
https://scryfall.com/search?q=set%3Altr+frame%3Ashowcase&unique=art&as=grid&order=name&dir=
The ring showcase frame cards are gorgeous. Not really a fan of the scroll one with the black side bars
Some of these are just awesome in foil
cpp has to be the worst programming language ever invented
its like someone looked at everything that other programming languages had and went
okay what if we did this
but Bad
iterators are absolutely awful and its like how the fuck did you fuck up such a simple concept
actually the most convoluted shit ever
templates are egregious and honestly laughable
every single thing they add is just awful the language is beyond salvageable
yeah I'm not a c++ fan
a lot of my friends are for some reason
I think c# is just objectively better tbh
they added fucking
Lua kind of stinks for this reason as well
lua doesn't have literally anything
thanks michaelsoft
i think c# is a better language than c++ and its not even close
but also
oop is a lie
I probably have bias towards c# because I use it a lot
it honestly only makes sense in like
game dev
in literally every other scenario it is absolute junk
inefficient, convoluted, very limiting, doesn't work well if you have multiple libraries, etc
yeah
I use python for a lot of applications because sometimes I just can't be bothered to worry about classes and stuff
there are times where you just need a program to work and that's it
i want to use rust so badly but im using qt
and setting up bindings is so fucking annoyin
its become my favorite language by far
its like c++ but if you replaced garbage with good
god i love rust
one of my least favorite features of any language is like
magic syntax
syntax that doesn't really follow any intuitive rules
oh you need a semicolon there, that can't go there
rust has such a simple base and it's great bc thats all it needs
counterpoint: c++ isn't convoluted enough
Terrence Tao's blogpost on smooth infinitesimals, a kind of analysis with infinitesimals developed by a guy named Skolem https://terrytao.wordpress.com/2012/04/02/a-cheap-version-of-nonstandard-analysis/
This is distinct from the non standard analysis developed by Abraham Robinson, which relies on hyperreal numbers [which rely on Model Theory]) and by Edward Nelson's IST, which relies on ZFC set theory
Skolem's analysis does two interesting things:
It doesn't use the law of the excluded middle ever
For this reason, I think it might be more compatible with constructivist mathematics than the two mentioned before
I find it so intriguing that there are so many ways of accomplishing the same things in mathematics ๐
You obviously haven't seen Malbolge
https://twitter.com/BenCSRobinson/status/1801263453526471076
https://twitter.com/BenCSRobinson/status/1801263456298905788
https://twitter.com/BenCSRobinson/status/1801263458148638881
This is a bit of a day for me. In a matter of hours https://t.co/p1e6VAQf2A will launch their final sale for Eaglemoss ships. When theyโre gone that will be it. Thereโs all sorts of Star Trek stuff in the offing for me, but the Eaglemoss ships will be done. I started workโฆ
... on this project 15 or 16 years ago. I always had a good feeling about it, but I didnโt dream it would be so long or that we would do SO MANY ships. I think we did over 400. Thatโs quite a thing. Itโs been a real privilege and Iโm taking a moment to think about it.
Itโs nice to think that itโs made people happy and earned me a little place in Trekโs history. There are some really exciting things on the horizon for me and lots of them involve Star Trek so Iโm not sad exactly, but, well, itโs the end of an era.
ik malbolge
at least it has a design philosophy
I personally like C++. But I mostly do game design, so of course I like it.
I work in Python and C++.
i just don't understand how you can enjoy it
there are literally no safety guarantees
you can achieve ub with
u = (u++);
header files are stupid and outdated
why does the compiler not error if you don't return something from a function???
msvc fucking sucks but
I am just used to code being annoying.
The C++ fandom I have seen tells you that you, from the beginning, need to choose all features of C++ you want to use and then you pretend all the other ones do not exist
yeah
honestly i think the issue is like
fundemental
c is literally half a century hold
and c++ is only slightly younger than that
so both of these languages originate from a time when compilers were a lot stupider and shifted more of the responsibility on the programmer
as someone who only programs when i need to make a game, i feel like there are a lot of weird-ass programming languages out there that make no sense now but were invented for some very specific purpose
so only the people using it for that purpose will like it, and everyone else will tell me it's nuts
also like i forgot to mention this but c++ also has an issue where its not very modular
ig most oop languages are like this but
like including a bunch of other libraries is very rare and even weird
which results in a lot of boilerplate
it results in this whole system where you usually import maybe a few giant bundles of shit like boost
or using what is already provided by the framework you're using or whatnot
which just results in a whoooole lot of reinventing the wheel
in rust, if i want a specific data structure, i can search on cargo for it and its super easy
Olivia's blog
For those out of the loop, shit hit the fan last year after Stack Overflow, Inc. (hereby referred to as "the company") decided to overrule a community consensus regarding AI-generated content. Following the initial event, a long series of poorly thought-through features and changes (both related and unrelated to AI) have been announced by the co...
ok so I've been reading this book I got yesterday, this is the first page
house of leaves?
Yup
new cool kongtent https://www.youtube.com/watch?v=UIqhpxul_og
A new desktop SLS nylon 3D printer can make printed electronic circuits with the addition of a powdered catalyst and electroless copper plating bath. The printer is available here: https://www.kickstarter.com/projects/micronics3d/micron-a-desktop-sls-3d-printer
Applied Science video on SLA printed circuits: https://www.youtube.com/watch?v=Z228x...
the 3d printer prints nylon with little copper particles in it. when you blast it with a pulse laser the copper particles get together and make neat copper trays where the laser blasted
Free alpha for semiconductor people, this is one of the grad textbooks we use (free to download, 2024): https://t.co/nPwxwv8nhf
semiconductor fabrication!!!!!!!!!!!!!!!!!!!!!!!!!
Science says the things I want to hear https://andymatuschak.org/prompts/Karpicke2011.pdf
Blessed be flashcards ๐ฆ
i actually remember hearing a study strategy that lines up with that idea
the thought was that when you're writing down notes during a lecture, your attention is split between writing and listening, so you're only gaining half the benefit (if that) from each source
so the idea is to not take notes during the lecture, and then when class is over, immediately write down as much as you can remember about it, no references to guide you. then later, pull open the textbook and your recall notes, and fill in any missing information in the latter with information from the former
i never did this because i never had the time between classes and adhd kills my memory game anyways
but it sounded much more appealing in theory than traditional studying, which was also impossible due to the aforementioned adhd
basically adhd is a lose-lose in school
anyways, the article made me think of that again
The testing effect (this where we actively try to recall the information) has been known to be great for recalling information for a long time
https://en.wikipedia.org/wiki/Testing_effect
The testing effect (also known as retrieval practice, active recall, practice testing, or test-enhanced learning) suggests long-term memory is increased when part of the learning period is devoted to retrieving information from memory. It is different from the more general practice effect, defined in the APA Dictionary of Psychology as "any chan...
What is super interesting about this paper, which is the thing I want to hear, is that it is claimed studying based on the testing effect (in this case, by making notes by recalling the material after reading it rather than by making them while reading) that this recalling method provides greater comprehension and fluidity in the subject than just reading or than more effortful methods, rather than just making you remember the facta without actually knowing what it means
This is great news for me in particular, as I have been doing all my studying in the past while by making flashcards on Anki ๐
So, I also have ADHD and I have managed to make a thing like this work, it involves the aforementioned flashcards on anki.
What I am doing is different than what the study did and what you mentioned, in that I am making my flashcards while I study (not a way in hell I would be able to sit and make them after studying lol I would procrastinate that to death) rather than making them from memory after I study, which would be more akin to the paper. I have found this to strike a really weird and sweet spot, where I am now paying more attention to the text so I can make the damn flashcards, I also have to think about how to turn what I am reading on the textbook into a good card (the card can't be too long, too verbose, too weirdly written or I will forget it etc etc etc), which makes me actively think about the content and break it into simpler easier to understand and remember parts, in a way, I feel less bored reading the text as there is now this active component to it.
This is different from what is done in the paper, but I am still using the testing effect, as anki will show me the card I made and I have to actively recall (as the nerds call it) the answer. Anki also makes use of the spacing effect, which is a bonus (essentially it has been discovered you remember things better if you break your study time into multiple spaced sessions rather than doing it all at once).
It has thus far been great, I went from sucking in all my classes to being amongst the top student in several of them. I am also using it to learn more about math on my free time and it has allowed me to keep the knowledge of several concepts sharp for months, if I try solving exercises on a topic I haven't practiced in months I can still do it, while before I would forget it all not even 3 weeks after. It has been great, I definitely recommend anki
oh hey that's awesome
i just graduated high school like, yesterday, but if i end up going to college i'll keep that in mind
Did you get anywhere on your Quantum Mechanics research?
๐
not really ๐ it's still on my to-do list i just got busy and this month has been hellish
Smh /lh
i have a bad habit of starting projects and then immediately failing to finish them until months later when i pick them up again
this is normal, i expect to learn basic quantum mechanics in approximately 5 years /j
Smh again.
Framework is very cool but the stuff is a bit expensive
not saying it's unjustified or anything
but it's a high bar of entry
holy shit i hate c++ how did someone come up with something so bad
why does find return an iterator??? in what world do i need an iterator???
why is nothing lazy???
Quoth strostrooupe: "I need object orientation in my C!!!!"
c++ devs really went god what if we completely fucked over this thing that literally every other programming language has done flawlessly
just absolutely butchered it
and then made it super complicated to use
why the fuck even bother with iterators if they're literally just pointers
but with an end
except they don't even prevent you from going past the end
bamger
wait this is actually stupid
What
YEA LOL
why wouldn't they do that if they bothered to make them bounded
instead of doing like
Fortran had it right all along
good fucking luck trying to implement this
but in c++
you have to do
for (auto it = items.begin(); it != items.end(); ++it) {
}
they sugared it to
for (auto x : items) {
std::cout << x; // Print value of each element 'x' of 'items'.
}
in c++11
but its still just fucking bad
my up and coming object oriented programming class will most likely use java ๐
hope it is better maybe perhaps
unironically i hate java
its better than this
java generics may not even be generic but its fucking better than templates
tell me more about the templates
holy shit they're so bad
so u know java generics
and lik
generics in every language
in c++, generics are like that except Bad
they're basically just expanded at compile time
so if you have
template <typename T>
class Vector {
T* head;
size_t cap;
size_t len;
}
and you create a Vector<int>, it just replaces T* with int* and etc
which isn't super uncommon to do (rust does it too) but bc of c++
it has a bunch of dumb restrictions
people hate to call it just macros but its basically a macro
just with some typechecking
like normally you separate your actual cpp source files and header files
YOU CAN'T DO THAT WITH TEMPLATES LOL (kind of)
IT ALL HAS TO BE IN ONE FILE
I was gonna say that but didn't because I thought I would come off as a dumb philistine lol
It reminded me a bit of C's "generics" which are actually just macros
yeah its just htat but lik
built into the compiler
as i said its not super uncommon for this to be done, rust does it but its actually Good in rust
also the thing about iterators is that bc they're basically just glorified pointers they lack a lot of like
shit that iterators are used for in other languages
u dont have like adapters or things like
iterator.map, iterator.filter, etc
they are basically just pointers with a range
i made a circular buffer for this thing and guess what
i can't actually represent it using an iterator
actually thats kind of a lie
but its just done
Poorly
Oh yeah, I got this book a while back https://opencircuitsbook.com/
Looks neat
how is it?
I've been eyeing it for a while
I like it quite a bit, you can see the first chapter over here https://nostarch.com/open-circuits
I am now this much closer to gaming
gaming soonโข๏ธ
Turns out the processor I got isnt compatible with the motherboard I was planning on getting, so I have to return it and get a compatible one
Need a 7000 series when I got a 5000 series
It was a really good deal too...
That is, it was presented as a good deal
But in retrospect I was buying it for what itd initially be
My horde grows
no fun allowed https://spectrum.ieee.org/high-assay-low-enriched-uranium
Centrifuges arranged very painstakingly into cascades are the standard means of enriching uranium to bomb-grade material, and they require scarce and costly resources, expertise, and materials to operate. In fact, the difficulty of building and operating such cascades on an industrial scale has for decades served as an effective barrier to would-be builders of nuclear weapons. very funnily we have capable centrifuges in brazil which we developed and built ourselves
There was allegedly a secret nuclear weapons developed program in the 70's and now the centrifuges now make the fuel for our two power plants and for our nuclear submarine
Once we struck a deal with Iran and turkey in which we would sell them fully enriched energy grade uranium to iran and turkey would dispose of it
The united states of america did not like this plan ๐
new attempt new attempt
https://spectrum.ieee.org/jeff-hawkins
highlight
Deep networks essentially generate a single model of the world, processing data step by step from simple features to complex objects, Numenta researchers have argued. In contrast, the companyโs โthousand brains theory of intelligenceโ proposes that the brainโs many cortical columns generate multiple maps of the world, as if each human brain was actually thousands of brains working in parallel simultaneously.```
Back on this: personally I think we should look into producing mixed oxide fuel from spent fuel. Very conveniently, France does that, we should strike a deal with them so they teach us how to good
ah yes, it's the terrorist bombs we need to worry about, and not the ones basically every major country has stashed away
I mean I would argue that a major country has much more of a reason not to launch a nuclear warhead
if a terrorist group were to fissile out, they could just use it as a last resort, which is kinda shitty
yeah exactly
If you'd like to support these videos:
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What happens when you follow the first link on wikipedia pages to its end? I tried to find out and regretted the resulting headache.
I had to cut out a lot of details due to time/pacing but if there is something that interested you in terms of how I gathered data or whate...
moon rock moon rock moon rock moon rock moon rock moon rock moon rock mo https://www.nature.com/articles/d41586-024-02101-5
moon rock moon rock!
moon rock moon rock
If you'd like to support these videos:
https://www.patreon.com/NotDavid
What happens when you follow the first link on wikipedia pages to its end? I tried to find out and regretted the resulting headache.
I had to cut out a lot of details due to time/pacing but if there is something that interested you in terms of how I gathered data or whate...
Another interesting Wikipedia video.
Code for all my videos: https://github.com/sponsors/adumb-codes/
Get the graph as a poster: https://adumb.store/
Twitter: https://twitter.com/adumb_codes
A deep dive into the network of Wikipedia and some of the the most interesting, bizarre, and unique articles on the website.
Music:
Beyond the Wall - Sugoi
How About Now? - Andreas Dahlbรคck
F...
Yeah the Fantakuchen incident
a short video on lambda calculus and how it is turing complete and also how to make the things you know and love in programming languages with ti https://www.youtube.com/watch?v=ViPNHMSUcog
The Lambda Calculus is a tiny mathematical programming language that has the same computational power as any language you can dream of. In this video, we'll first explore this calculus before seeing how we can flesh it out into a functional programming language.
After a brief tour of a simple type system, we'll see why the Lambda Calculus has s...
pretty cool innit?
ok, nerdy question time. how do fiction movies/books come up with fake languages? yknow how stuff like star wars, dune, or lord of the rings have languages for non human species or other cultures. but how do the people behind this stuff make those languages?
that's called a conlang
and you make a conlang by being a huge fucking nerd about linguistics
(that is not necessary but like, some conlangs are clearly very nerdy)
jrr tolkien was nuts about his languages
Very long story, it is a long and complex process.
But for Star Wars, it is just making up a bunch of words with no meaning. They aren't real conlangs, as they have no true corpus or grammar.
if you want to make your own fake language there are a handful of books so you can learn how to make your own fake language. No previous linguistics knowledge required
Quanta magazine on tilling
https://www.quantamagazine.org/what-can-tiling-patterns-teach-us-20240703/
Article largely about quasicrystals and their existence
Tiling (pure mathematics detached from the real world) ended up being useful at predicting and explaining a real thing that happens (quasicrystals)
Pretty cool innit?
they also ended up being useful in bathrooms
I built a guy and made him do a funny pose
I should be active here.
is it true that one of jupiters moons, europa, might contain a water ocean under its surface?
yes it is believed that may be so
not necessarily confirmed though, but given how the ice volcanos and tidal forces from Jupiter lead to it possibly being a thing
also #1181590313203146874 maybe
Hey I saw this guy in a numberphile video
he was involved with this
He was in a numberphile video talking about his research which won him the fields medal
Sure
His research that won the fields medal: https://youtu.be/1LoSV1sjZFI
James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture.
More links & stuff in full description below โโโ
More James Maynard on Numberphile: http://bit.ly/JamesMaynard
On the Duffin-Schaeffer conjecture - by Dimitris Koukoulopoulos and James Maynard - https://arxiv.org/abs/1907.04593
Numberphile is supported by the Mathe...
The interview he gavw after winning: https://youtu.be/eupAXdWPvX8
Longer version at: https://youtu.be/yz-5BY_TTNI --- See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor)
More links & stuff in full description below โโโ
Full 2022 Fields Medal Winners: https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022
See our Fields Medal Pla...
He also has one talking about the twin prime conjecture
Thanks!
I have been thinking about the Banach-Tarski paradox
It's a consequence of the axiom of choice and I find this most interesting
It reminds me a bit of a fragment from Rudolf Carnap I read in which he says that the predictions of mathematics do not necessarily hold true for the empirical world and are also subject empirical verification
It exemplifies that very well as math made a prediction (there is a way of splitting a sphere and then re assembling it to get two spheres of same volume as the original) and this prediction doesn't necessarily hold for the physical world
Pretty cool isn't it
โLittle solace comes
to those who grieve
when thoughts keep drifting
as walls keep shifting
and this great blue world of ours
seems a house of leaves
moments before the wind.โ
House of Leaves by Mark Z. Danielewski
Follow me on:
โ IG: https://www.instagram.com/abookplaylist/
โ Goodreads: https://www.goodreads.com/user/show/108057456-abookplay...
listened to this while reading House of Leaves
in my bed, with a lamp on, and my door closed was just the perfect storm of anxiety
Cause this is my view
for context my bedroom is a lil under 3m by 2.5m
If any cartography/history nerds want to try and help me find the date of this map, it would be greatly appreciated
We have managed to narrow it down between the summer of 1881 and the autumn of 1885
But I feel like it can be more specific
I don't know the history very well but the detail I notice is unified Italy, Ottomans have Northern Greece still
Germany has Alsace-Lorraine so definitely post Franco-Prussian War
Awaken, cool thing community
https://www.quantamagazine.org/the-physics-of-cold-water-may-have-jump-started-complex-life-20240724/
Summarized: they think the fluid dynamics of cold sea water made larger organisms more fit
cool cool cool https://www.youtube.com/watch?v=qT8NyyRgLDQ
As computers are used more and more to confirm proofs, is it time to take computer science's contribution to mathematics further? Dr Thorsten Altenkirch discusses Type Theory vs Set Theory.
A Longer version of this interview can be found here: https://youtu.be/ZDEHf1wR7VA
EXTRA BITS: https://youtu.be/ex_g4zectTQ
brand new happenings on the home made semiconductor fabrication fandom: https://www.youtube.com/watch?v=RuVS7MsQk4Y
Try SendCutSend 15% off for your next project! https://sendcutsend.com/breakingtaps/
My descent into madness, chasing one micrometer.
Watch this ad-free on Nebula: https://nebula.tv/videos/breakingtaps-speedrunning-30yrs-of-semiconductor-history
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๐ขTwitt...
in this video: the construction of a photolitography machine
does anyone here get this joke?
I understand much about 3d printers, what i dont understand is pokemon
Had this fellow arrive, it's very cool. Love my Warcraft
That looks pretty neat
Oooh, thats awesome! Is this supposed to be any specific dwarf?
We aren't supposed to @ping RT.
It says for no reason
Getting excited about a cool wow statue and asking a question about it is a reason
How do yโall tell if itโs ping on reply
It has an @, near the name.
Oh
Ah, I see. I keep thinking I should be recognising that hammer. But I tried searching for it online and couldn't find any details.
Hey nerd forum. So non-reactive surfaces are one material for said use(?), how do they change the colour for identification purposes or other uses?
Finally reading lotr and the hobbit
I also got the samarillion because it matches with the other books but I plan on reading it as well
Honestly very excited
Iโve seen the movies of lotr
And the animated hobbit movie
Cus I know the hobbit movie trilogy are viewed as one of the worst retelling of Tolkienโs hobbit in existence
Iโm already amazed at the world building
I open the hobbit to see a full cipher for dwarvish
Thatโs so detailed
And it even has notes of where to find the lore explanations for why some things are like that in the books
Like it had a note as to why dwarvish is the defacto language saying itโs explained in lord of the rings page whatever
Already in love with it
Yeah, they really stretched them out. 3 long films for a pretty short book.
Also goblins arenโt a thing how theyโre presented in the movies
Also very heavy amounts of CGI, compared to LotR, which only used CGI when it had to.
From my knowledge
Thatโs dumb
Was the balrog in the lotr movies cgi?
Like, they used CGI to make the Hobbits look small.
Believe so. That would be hard to do with practical effects.
But things like the Hobbits being small was all practical effects.
Also if a balrog is a corrupted naia or whatever does that mean that suraman wouldโve eventually become a balrog
If he wants to.
Yeah I feel like cgi is often times detailed enough to look real but you can just tell itโs cgi
Like this
Like itโs hard to explain but thereโs just some amount of uncannyness
Interesting
But in the Hobbit it was this
And yes, that is Ian McKellen having a breakdown from it.
Oh Jesus Christ
That is so much
The shire was already built like just use it
It was not good for his mental health. But at least he talked about how they were nice to him and comforted him and gave him a break when he got overly stressed.
But still ultimately said it was a miserable experience.
Iโd be overstressed if I went from getting to feel like I am Gandalf to feeling like a street magician too
Also, more light fact, he is gay and actually was a major gay rights activist in the late 20th century.
Holy based
Now I love Gandalf even more
Gandalf is gay
Ian McKellen at a LGBT Rally in 2010.
Holy shit thatโs awesome
Gandalf is my favorite gay rights activist
https://youtube.com/shorts/ZWrKZnXaLew
Only video I can find of his struggles with the green screen.
Filming the Bag End scenes in The Hobbit was particularly challenging for Ian McKellen due to the use of a new filming system that required two different sets. As a result, McKellen never actually acted alongside other actors during these scenes, relying instead on audio cues and markers to simulate their presence. This unconventional method was...
Like, I already didn't like how Green Screened it was. But this makes me dislike it even more.
hmmm what if I buy a cpu cooler for the price of the rest of the pc
temps so low youd think your computers dead
I doubt it, i think its just extreme price gouging for a branded product
Fair
hello math fandom https://www.quantamagazine.org/groups-underpin-modern-math-heres-how-they-work-20240906/
new quanta kino
pop quiz!
who is this man?
a. Slime Lord
b. Aqua Sorcerer
c. Frog Master
d. Green Wizard
its pepo
pepor
Yesterday while doing my math homework in which I had to prove that |N| = |N ร N| I found a cool bijective function from NN to N
The function is:
f(x,y) = {[(x+y - 2)(x + y -1)]/2} + y
My idea to find this was based on the diagonal argument used to prove that |N| = |NN|. Hard to explain in wordes but after that I had to find it's inverse
To find it's inverse, I realized that a full diagonal of the diagonal argument AND the diagonals that came before them formed triangular numbers and also that triangular numbers are just Tz = [z(z+1)]/2
You may recognize this as the formula for summing the terms of an arithmetic progression that takes steps of 1.
After that, I got that 0 = zยฒ + z - 2Tk
This follows from the formula above. It's a quadratic equation and 2Tk is just a number, so I thought about just using the quadratic formula getting:
[- 1 ยฑ โ(8z +1)]/2
Through trial and error (very mathematical I know), I found out that if I take the absolute value of the floor of the negative root I'd get the "index" of the closest greater triangular number for any natural z
The same happens if I take the positive root, but I get the index of the closest smallest triangular number instead
I will call those formulas
+T(x) and -T(x) to make my life easier.
Let K(x) be the function that takes a natural number and returns the triangular number of that index
The inverse function is
g(x) = (x - K(+T(x)), K(-T(x))- x)
After finding this out, I went to look it up and I discovered that this is pretty much the exact same function and it's inverse that Cantor found all the way back in XIX
Really cool stuff. The joy o'mathematic
Also the function and it's inverse could work as a Hash function for storing things in a 2D array and getting back a single number as a key and giving the key and getting back a position in the array, if that's a thing you care about ๐
It wouldn't be a good hash function as it has all of the undesirable characteristics a hash function could have but it would be a hash function nonetheless ๐ฆ
cool video on photomultipliers by Huygens Optics https://www.youtube.com/watch?v=5V8VCFkAd0A
Photomultiplier (PMT) principle, operation and measurements explained.
00:00 Intro and overview
00:30 The photoelectric effect
02:11 Detecting single photons
03:33 How a PMT detects a photon
10:35 How to operate a PMT
17:00 Measurements with a photomultiplier
24:59 Conclusions
The video contains 2 short clips taken from other Youtube channel...
this channel is very cool, he ocasionally makes lenses. I recall he was a Zeiss emplyee for a while
cool shit cool shit cool shit cool shit https://www.nature.com/articles/d41586-024-03127-5
cool stuff if thee will
pals
I'm in precalc. Finding roots of polynomials. I know quadratic method, factoring, and synthetic division. Descartes rules of signs and findings all possible answers. Besides this information what else is there to help find roots. I was talking to someone and they mentioned there was other ways.
There is the binot-ruffini algorithm for some special polynomials
Even tho it's called an algorithm, you do it by hand
hold on, it seems that it is just a special case of synthetic division
Interesting I'll look it up
This looks too good to be true (but it is)
This ties back to finding roots
There is a general formula to find roots. Everyone knows Quadratic formula, then there's Cubic and Quartic formulas as well
However no Quintic (5) formula
Miku headphones
Iirc the cubic and quartic formulae are not nearly as simple
Computer algebra system these days find roots of polynomials by factoring them. Many a complicated and fast polynomial factoring algorithms have been developed
fair, although the math that computers use is definitely not always math you want to do by hand
yup
new content home made semiconductor fabrication fandom https://www.youtube.com/watch?v=1dFj-tGn8DI
Support me on Patreon: https://www.patreon.com/projectsinflight
In this video I attempt to make my own Spin-On-Dopants for the Diffusion process.
DISCLAIMER: The videos on this channel feature materials, equipment, and activities that may be hazardous. By choosing to replicate or participate in any demonstrated activities, you acknowledge and ...
Funny spinning tops :>
(Greatest Raphael & Savior Valkery)
Iโm excited to finally get the V-gear
on calculus made easy the author introduces us to this by telling us to neglect infinitesimals raised to higher values https://en.wikipedia.org/wiki/Transcendental_law_of_homogeneity
In mathematics, the transcendental law of homogeneity (TLH) is a heuristic principle enunciated by Gottfried Wilhelm Leibniz most clearly in a 1710 text entitled Symbolismus memorabilis calculi algebraici et infinitesimalis in comparatione potentiarum et differentiarum, et de lege homogeneorum transcendentali. Henk J. M. Bos describes it as the...
Leibniz's calculus is really cool. I want to learn more about it
Ngangikurrunggurr language
Longest language name I have come across so far.
It is an Australian Aboriginal language.
Tell me moer
pls
Do the Australian aboriginal languages have a fancy family name or are they just called that?
OR, are there many Australian aboriginal families
I recall that there were many family languages of indigenous Brazilians languages. These days most of the indigenous people speak a language related to Tupi-Guarani
There are multiple families. But most are Pama-Nyungan
The yellow is Pama-Nyungan.
There is a notable sprachbund amongst the families.
They share features due to areal sharing of features.
Fun fact, Mbabaram has the same word for dog as English. No, it is not a loan word. It has been traced back to the proto-language via consistent sound changes, and has shown to be a cognate with other related languages.
Descends from *Gudaga.
@rocky hornet
Ngan'gikurunggurr is currently considered an isolate, btw. But it is theorized to maybe be in the hypothetical Southern Daly family.
Ngan'gikurunggurr only has 31 lexical verbs.
Which is combined with a large collection of converbs to make more complex verbal statements.
That's pretty cool
Are the languages agglutinative like german and finish?
intriguing
Dyirbal is a fascinating language.
Their noun class system is as follows:
I โ most animate objects, men
II โ women, water, fire, violence, and exceptional animals[10]
III โ edible fruit and vegetables
IV โ miscellaneous (includes things not classifiable in the first three)
The four genders
You also had to speak a different language around cross-cousins of the opposite sex, and your in-laws.
And couldn't speak directly to them or look at them.
I mean, it is essentially a grammatical gender system, yeah. if I understand it all correctly.
The language is called Dyalลuy, and it has the same grammar as Dyirbal, but no shared vocabulary.
It also has way less vocabulary, sot you need to use a lot of semantic tricks and be clever to communicate your ideas properly.
@rocky hornet @dusk lintel
I remember hearing about some bantu african languages that had a special grammatical gender for plants
A lot of Bantu languages have a huge amount of noun classes.
as part o'my scientific methodology class I have been tasked with writing a systematic review of this https://aws.amazon.com/what-is/retrieval-augmented-generation/ for a professor who wanted a systematic review of this
cool stuff
I was tasked with a review of this for the retrieval of data from technical manuals. the same professor tasked another student with this for legal documents
Reading the stanford encyclopedia of philosophy page on constructive mathematics. There is a silly result of not having the law of the excluded middle:
if f is a continuous function and f(a) < 0 and f(b) > then there exists c such that f(c) = 0
They don't hold this as true because there is no constructive way of proving it (that is, even though it's obvious, the theorem doesn't actually help you discover which c is f(c) = 0.
The constructively equivalent claim is
if f is a continuous function and f(a) < 0 and f(b) > 0 then it is possible to approximate a value of f that is 0
Super silly ๐ฆ
There's a new "world's biggest prime" and we speak to the man who found it, Luke Durant... More links & stuff in full description below โโโ
Also in this video are George Woltman (from GIMPS) and James Grime.
Full Durant interview: https://youtu.be/aJHPDGj93-w
Full Woltman interview: https://youtu.be/9ML2q0q53io
Press release on the prime disc...
new math dropped
yeah the mersene prime 65
Oh they found another one
It's another mersene prime
2^(136279841) โ 1
Here he is
It was found by GIMPS, which also hath found all the last biggest mersenne primes
helly nerdy fandom
today I bring you a pokemon game video https://www.youtube.com/watch?v=jNMWkD5VsZ8
After getting only a 99.8% chance of success in FireRed, I'm back in Platinum, with several billions of simulations to reclaim those pesky fractions of a percent.
โ ๏ธWARNING: There are several points in the video where sped-up footage creates a strobe effect that may affect viewers sensitive to flashing lights. This occurs most prominently at ...
he found a sequence of inputs that is guaranteed to reach the end of the game in every one of the 4 billion possible platinum game seeds
a very interesting follow up would be developing a program that, when given a pokemon platinum seed, returns the optimal sequence of inputs for that seed.
To make things easier, optimality could be defined by time, so the sequence of keys that is guaranteed to beat the game fastest on that seed๐
Strange coincidence that I see this message now, since I just watched a video about the same topic a few hours ago
Happy Halloween
Iโm choosing to count history as a nerdy thing
Hereโs an image of the 26 volumes, containing over half a million signatures, of The Great Petition, signed in 1899
Is there a website to track prices, inflation, and the like for the US economy
I recall hearing about something like that
I will look it up
The bureau of labor stuff has a lot of stuff https://www.bls.gov/charts/consumer-price-index/consumer-price-index-average-price-data.htm
This is a chart of some seemingly random goods over time. But the data is downloadable
Now it is shower time so I will keep looking latee
oh there is a show table button
Since they have a table for this, they must have a table for a lot of other stuff
Bureau of Labor Statistics
Bureau of Labor Statistics
Inflation, Prices, and Consumer Spending
Statista also has a more direct inflation chart https://www.statista.com/statistics/273418/unadjusted-monthly-inflation-rate-in-the-us/
Our World in Data, the world economic forum, the UN and the IMF probably have theirs too. I will look them up later
This one is the most interesting to me thus far because it tracks the average price of basic goods like bread and milk directly
https://www.quantamagazine.org/it-might-be-possible-to-detect-gravitons-after-all-20241030/
Cool stuff
I will be real here Chat, I don't want the graviton to exist. The space literally curving around is much cooler than another stinky discrete particle
I feel space curving also is way more backed by evidence than it being a particle.
i mean i always thought space curving was more of a model than anything
cause it's not as if spacetime is an actual physical object that can curve
but gravity being a particle doesn't really make sense either
No, spacetime is a manifold that is literally curving. From everything I read on it.
It isn't some "mere model" or such.
It is just a model to depict it as a 2D surface being curved
As it is actually 4-D curvature. Which is far more complex.
but how can you curve it if it's infinite in all directions
It curves locally per region
Also technically every mass makes space a thousand gigabillion light years away curve too, but the curvature becomes negligible really fast
We have evidence to think space time is literally curving due to gravitational lensing and time dilation ๐
when thinking of stuff like this it is just easier to think of gravity as a force as in the Newtonian model, usually
while technically incorrect it works well enough and helps visualize its effects better, imo
Itโs very fun to hear โoh yeah my computer is a core i7 16 gig ddr5 1tb ssd 6 tb mdd with an rtx 3060 tiโ and know exactly what theyโre talking about
Most people would think Iโm crazy if i said that
that's a beefy computer bro
idk half those things but i recognize "1tb ssd" "6tb mdd" and "rtx 3060 ti"
It doesn't work in a lot of circumstances, though. Like, it doesn't explain relativistic procession of planetary orbits.
bro didnt even specify what generation i7 intel chip they have, let alone anything that truly matters like how much RGB one has or the exact mobo brand
True
core i7 is the CPU
Youโd be correct
if i had to guess itd be like my older pc with a 10th gen 10700 or 11th gen 11700
with some variant of K, F, or S
if a prebuilt likely a F, if a custom built just a K, KF, or regular version
Itโs a regular
Iโm building a pc for a friend
I actually settled on doing a ryzen 7 8 core
something along the lines of a Raedon 6600, intel 12400f, 1tb ssd, 16 gb ddr4 ram
Nothing too impressive but something that will work well enough
exactly, a budget build of like 550 dollar so my sister can have a pc before pc parts get uber expensive
will be the second PC ive built and the 4th ive helped figure out parts for
Pc parts are like shockingly cheap nowadays
Cool
My pc cost 1600 and had worse parts than my friends that costs about 1200
yea kinda, itll be a good pc for her
(This isnโt counting monitor and such)
we discussed it and with certain political events in the US on the horizon we wanted to get her something before parts get really expensive due to tariffs and whatall
Yeah thatโs fair
my current PC cost about 2300 dollar, the two I helped pick out parts were 2100 and 600ish
That is somewhat of an edge case/not something that always needs to be accounted for
Better way to explain what I mean, when teaching gravity to someone, it is best not to start with relativityโs version even if that one is the correct one
๐ดโโ ๏ธ Ahoy, young coders! Set sail on the High Seas with @HackClub and @GitHub! Build yer projects, earn Doubloons, and trade โem for treasures like Macbooks, 3D printers, and more! Join the adventure โtil January 31st. All hands on deck!
๐ https://t.co/mjW5sBl4hy
You can't believe everything you see on the news.
See part 2 early: https://nebula.tv/videos/bobbybroccoli-you-cant-show-that-on-tv
Twitter profile: https://x.com/BobbyBroccole
Patreon: https://www.patreon.com/c/bobbybroccoli
Research assistant: Chris Pepin
Assistant editor: Charlie Arsenault
Script Feedback: Chris Pepin, Charlie Arsenault, Bou...
this trilogy is finally complete
it's so fuckin good
classic bobbybroccoli bad science video
bobbybroccoli is an absolute legend
true
Why The US Military Chose Silicon-Graphene Batteries. Take your personal data back with Incogni! Use code UNDECIDED at the link below and get 60% off an annual plan:ย http://incogni.com/undecided The US military just approved funding for a new silicon-based battery. NanoGrafโs silicon oxide-graphene (SOG) batteries arenโt just an upgrade to lithi...
I found a bunch of old magic the gathering cards. Like before 2008. (Because of the white borders) I know nothing about this game lol. All I've been able to do is organize by color and type.
I have not survived abstract algebra
I forgot to prove the pair was a monoid on the test (I forgor to find the identity element of the set)
I don't know how to prove that two groups are isomorphic
Woe. Hopefully the next topic in the damn math class will be less mind shattering
color scheme ideas, anyone?
Rainbow
https://www.nature.com/immersive/d41586-024-03745-z/index.html cool article on the challenges faced by the NIF nuclear fusion research
The amount of people that donโt know whatโs going on inside of their computer distresses me
Is it considered nerdy to know about computers?
Yes
Is it important to know?
Yes
Your computer is like a car
i like to fuck it
It needs maintenance it needs upgrades it needs help
Knowing how to take care of a computer is important
Iggy it doesnโt even have a hole
thats never stopped me before
Okay then
The wires have to go somewhere
prob not gonna buy the rest of the comics on this run but damn am i happy
not buying them due to import costs, if i could I'd buy them all
also for some reason i got a white cover which is for like cons and shi
i did not ask for this but i do not mind
I found a book on the ricci flow in the college library
Built this guy today, hereโs the box and him next to some of my Warhammer 40K models
let ze orb dictate our actions
I prefer an infinity-sided die.
The fun thing about the d120 is that it can take the role of any dice in a standard tabletop set
The unfun thing is that if you show up to play DND with just a d120 they won't be happy :P
As a DM, I personally would love this
Imagine rolling fireballs with this tho
I am partial to rolling all the D6s at once for fireball
Featuring Henry Segerman. See part 2 at https://youtu.be/8rYLBXd_kzI ... See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor)... More links & stuff in full description below โโโ
Henry and Robert Fathauer designed these "TheDiceLab" dice - more info at: http://thedicelab.com
More...
I like how some of the dice lab dice are really useful unique dice and then some are clearly "dice to upset your dnd table"
I like the full set of skew dice for playing call of cthulhu
I have been thinking about the formal definition of a limit, to better articulate my ideas I wrote them down and I will share them here since it's just a matter of copy and pasting some stuff. I think I finally understood how you are supposed to actually prove that something is the limit of something else using it. Here I will tell you all about it: (warning: massive text wall incoming)
but before that, a quick introduction for those that are not familiar with propositional logic: A proposition is an expression that is either true or false. You can create logic expressions by combining propositions with logic connectives. Complex expressions, like propositions, also are either true or false. A well formulated formula is a logical expression that is written "correctly". of the logic connectives, the important one for our purposes here is the conditional, expressed by the symbol โ.
take the expression p โ q. p and q are propositions, and โ is the logical connective which in this case is the conditional. In a conditional, p is called the antecedent and q the consequent. The expression may be read "if p, then q". What is important to understand is that the conditional only has a logic value of false if p is true, but q is false. The conditional is true for all other cases.
A tautology is a logical expression that is always true. p โ p is an example of tautology. An argument takes some jargon to define. An argument is something of the form:
P1 ^ P2 ^ ... ^ Pn โ Q
where ^ denotes the and logical connective and P1..Pn and Q are well formuled formulas. the Ps are called hypothesis and Q is the conclusion. an argument is said to be valid if the following conditions are met:
- P1..Pn are all assumed as true
- The expression is a tautology
- it must be so due to the internal formal structure of the argument, not due to any incidental knowledge we have of the Ps and Q.
I will not get into the process of demonstrating that an argument is valid, as that is too long and not the point of this.
the point of this is the formal definition of limit given by Cauchy & Weierstrass. It goes as follows:
the limit of x to a of f(x) is L if:
for every number e > 0, there exists a number d > 0 such that:
if 0 < |x - a| < d then |f(x) - L| < e
this definition is fairly straightforward to grasp. Never had any troubles understanding it. in short: for every number e, no matter how small it is, it is possible to find a number d, and if the distance between x and a is smaller than d then the distance between f(x) and L will be smaller than e. failry simple. but this was NOT what I didn't understand. Rather, what I did not understand was: But how, exactly, do you prove that something is the limit of something else using this definition?
the textbook gave a total of 3 examples, which did not explain what they were doing. but now I understood and I will tell you all about it:
Let's go back to the definition, the full definition is a statement of predicate logic due to the use of quantifiers "for every" and "there exists". I have not talked about predicate logic but it is not important here. lets look at the most important part:
if 0 < |x - a| < d then |f(x) - L| < e
After staring at this, I realized it is a statement in propositional logic. it is a conditional statement with two propositions of the form: P โ Q
but not only that, it is also an argument with a single hypothesis. and an argument in propositional logic is said to be valid if it is a tautology. P and Q are two well formed formulas, namely:
0 < |x - a| < d and |f(x) - L| < e.
You may notice, however, that those are two different things. if they are different things, how can the argument: P โ Q ever be a tautology, given that it is possible for P to be true and Q false?
What I have finally understood is that you prove that L is the limit if you can find a d in such manner that lets you re-arrange P to be equal to Q. Q โ Q is a tautology and therefore a valid argument. the formal definition of a limit is an argument in predicate logic. It's core is an argument in propositional logic and you must find a way to make it tautological to prove that something is the limit of something else
My textbook said that the process of proving something is the limit had in general two steps:
- conjecture a value for d
- prove that this value works
I understood the first step perfectly, but the second one I didn't understand from the examples. but now I have finally understood how you prove that the value works, and you do that if you can find a value for d which lets you algebraically turn
0 < |x - a| < d into |f(x) - L| < e.
following is a simple example:
let f(x) = 4x - 5 and lets prove that the limit of f with x to 3 is 7.
-
on the first step: let's conjecture a value for d
0 < |x - 3| < d โ |4x - 5 - 7| < e โ
0 < |x - 3| < d โ |4x - 12| < e โ
0 < |x - 3| < d โ 4|x - 3| < e
this suggests that we should pick d to be e/4 -
lets prove that this works: let's consider solely the left side of the equation:
0 < |x - 3| < d, recall that d = e/4
0 < |x - 3| < e/4, lets multiply both sides by 4
0 < 4|x - 3| < e
recall from step 1 that we fond |f(x) - L| in this case to be equal to exactly 4|x - 3|. we have rearranged our antecedent in the conditional to be the same as the consequent, and therefore it is now Tautological and the argument is valid. We have therefore proven that 7 is the limit of f(x) when x approaches 3
Such are the extent of my thoughters on limits ๐
I have also thought a bit about about a process to prove limits in non-elementary functions of one variable but I'm not sharing them since they are largely speculative
A series I call "drawing lines on my dice to make different shapes
Red: icosahedron, d20
Yellow: dodecahedron, D12
Blue: cube, d6
Green: d30
Get a d120 it's great
Also the cube and anything smaller are really hard to visualise on a 2d image
also, a qualitative assessment of which catalan solids can be used as dice
I am already running out of room
make them fly
Uh, I would like to share a pic, but i joined too recently to post images.
However, I designed a 64-bit, 8x8 matrix calculator from scratch. I used a circuit simulator to do it, and I kinda pushed it to its limits with the wire connections, lol.
It's a bit rough around the edges, but it was a cool project. You can even """program""" it
Also I have a bunch of VTuber plushies
Oh! Fantastic! Here it is:
so pretty
i understand jack about it but veri pretty
Maybe I can find the correct kind of nerd here
Could anyone familiar with typography identify the font being used in these credits
Schwarzette and mkii spotted ๐ฅ
Support the mission, become a Mathstronaut and get you own bit of Lunar Pi here: https://www.kickstarter.com/projects/standupmaths/moon-pi-were-going-to-calculate-on-the-moon
For more details, and the teacher sign-up, head on over to https://pi.space/
Thanks to the great people at Astrobotic Technology. Here is the latest news about the Griffi...
moon pi moon pi
ok uh
I collect these
lemme take some collection pics
couple of buses I have lying around
ongoing repair
my room with collection shelving
this is just a small fraction of what I have, most of itโs in storage
apologies for the blurry photos and/or mess
very little room for stuff right now, once I make more room everything will be neatly organized on shelves and that
I do not know why I have the Kleenex box, I didnโt even notice it when I took the photo lmao
the popcorners box just holds even more chinafakes
if anyoneโs curious about a specific item I have (or just these things in general) or wants to see a specific item in action feel free to LMK
I will record a little video
Winner of the 2025 @TomRocksMaths Essay competition.
โ ๐ฃ๐ฎ๐๐ฟ๐ฒ๐ผ๐ป(๐ ๐๐๐ถ๐ฐ ๐ฆ๐ต๐ฒ๐ฒ๐๐): https://www.patreon.com/c/zyeworld
โ ๐ ๐๐๐ถ๐ฐ: https://youtu.be/VZ01HGu4bDs
โ ๐ฅ๐ฒ๐ณ๐ฒ๐ฟ๐ฒ๐ป๐ฐ๐ฒ๐: https://github.com/zyeworld/youtube/blob/main/2025/02_flags_1/references.md...
so this is fucking mental
the original video is just a silly experiment in maths and powerpoint where the creator tries to accurately draw flags in powerpoint
then he got hung up on some things and asked people for suggestions and uh
now there's a powerpoint construction community
Since PowerPoint has been proven to be Turing complete, I am guessing you can in fact draw every flag in power point. Even if the drawing in question was a program, running entirely through PowerPoint slides, that spits out an image of a flag ๐
Genuinely quite interesting, thank you for sharing. I'll be looking out for part 2
but also what a wild ride
It's nuts lmao
One of the comments joked that it's only a matter of time until someone works out how to square the circle in PowerPoint
Annoying when non-mathematicians or mathematicians who don't know what they are talking about are like. "Ummm. Infinity isn't actually a number. It's a concept or a limit" and just. Completely ignore things like Set Theory or systems using different axioms.
They think that just because their field doesn't use it as anything other than a limit, that that's what it is.
"infinity isn't a number" people when you show them โต(n)
(It's not present in their field)
I'm a fan of aleph 1 myself
The bigger cardinalities just don't feel right. What does it mean for a set to have greater cardinality than the real numbers? That's just a tad bit silly ๐ what's up with the power set of the real numbers? Very unintuitive. Those stuffs you just accept and move on
Notice how I cheekly presumed the continuum hypothesis as true in order to imply that the cardinality of the real numbers is aleph 1, that is because I'm a continuum hypothesis believer. No way that there is a set with cardinality strictly in between that of the real numbers and natural numbers, that's would of bee bizarre.
I call this vibe mathematics
But more as infinity as a number: in non standard analysis infinities and infinitesimals are just numbers
They are just there, which I find most joyful
Non standard analysis is pretty cool and it was proven by Robson that it's fully equivalent to real analysis but I want to become gooder and better at real analysis before learning non standard analysis
Favorite part of nom standard analysis is the standard part function for sure.
The standard part function maps an infinitesimal or infinity to the closest real number. For infinitesimals that just happens to be 0 while for infinities the answer is "who knows lol"
In non standard analysis the standard part function is used instead of limits to define the derivative and integral. Pretty cool right?
But further on mathematics: I'm still bad at proof making writing and following. Here are a few things I started doing to git gud:
When the book is proving something, I read the proof a few times over.
After this, I try to explain to myself what was done to prove it
After this, I try to write the proof down from memory on my notes
While I feel like this gives me more comprehension on individual and specific proofs, I feel like this isn't helping me at becoming good at actually proving things. I think in this summer vacation (1 week from now!!!) I will read many of those books that are specifically about proofs, how to do them and how to git gud at them. This will most certainly be a bop for my hobby mathematics career ๐
Stay entuned for more news mathfandom
honestly, i think it's worth just skipping to an intro analysis/algebra book and learning proofs that way
i recommend either dummit and foote or abbott depending on which you prefer
(if d&f ends up being too leisurely for your liking, try jacobson 1. if it ends up being too fast for your liking, try pinter)
Something cool I learned today, u can define a smooth manifold as a Hausdorff, second countable locally $\R$-ringed space that admits an open cover such that each open is isomorphic (as a locally ringed space) to a subspace of $\R^n$ with the sheaf of smooth functions
$n$ can depend on the open
R is mathbb{R} here
nvm i just read up a little, uve already done abstract alg? in that case id say even more not to just read a book on proofs, it's a bit of a waste of time at your level. working out and understanding the proofs in books is great and u should be doing that, but i think you'll get better much faster by just grinding exercises in books on whatever topics you're interested in
a general book on proofs will be kind of surface level compared to specialized techniques you'll learn in books on different topics
you really can't learn math without doing math
You can replace R with C and smooth with holomorphic to get complex manifolds
I wonder if/how you could add additional constraints that recover projective varieties a la Chow's theorem
Nope, I have done neither abstract algebra or analysis!!! I'm just a guy that studies math on my free time but my major is actually computer science
I'd say I don't know enough to learn either of those topics yet properly ๐
I think you only need high school math
Like for Abbott or Pinter say
Funnily, high school math is a thing I'm weak at since my math education in my country was ass. Currently I'm studying basic mathematics by serge lang and precalculus by james stewart and those cover the normal high school curriculum. I like Serge Lang's book because it has a focus on proofs, while stewart's has a lot of computation exercises for me to practice
But thanks for the book recommendations, I'm always looking for more textbooks
