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File: books.jpg (18 KB, 224x225)
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Let's have a reading group. Dubs decides the textbook
>Rotman - An Introduction to Algebraic Topology
(yes I'm sure this is going to fail, but what if it doesn't)
18 replies and 5 images omitted. Click here to view.
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what about art and craft of problem and solving (3rd edition) i heard its good for comp math training
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>>16996542
>How else could you get between such apparently disparate fields as topology and number theory in one hop, except via algebraic geometry?
*laughs in logic*
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>>16996542
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>>17003493
Interdasting title explanation
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>>17005279

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It really boggles my mind when i try to analyze this

https://youtu.be/0JUN9aDxVmI

https://youtu.be/3_o0-zPRQqw
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>>17005605
This. This so much.
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>>17005228
You don’t need to know this lmao it’s very low level with how to write efficient code

Rarely will you use algorithms in useful shit unless you’re doing an interview
>>
I guess big tech firms need algorithms that are advanced to sort through data efficiently that’s where time complexity comes in which is velocity of an algorithm so it’s a function of time and speed in essence
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>>17006853
Once you understand that you need to sort through data with respect to time and speed in relative to efficiency then you realize how clever these algorithms like binary search are that were invented years ago by scientists, it sorts through without a lot of time taken on non monotonic data which is how many dimensions it is. Brute force would have horrible time complexity because you’re manually sorting and selecting items in any given list without efficient selection with proper topological sorting of the data
>>
>struggling with a 200 level compsci class
Ngmi.

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Why can't spaceships fly on gravitational waves? Or can they?
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>>17001813
>dead internet theory
Whether dead or alive, it's been run into the dirt. I wish I had the discipline to just walk away.
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>>17001633
They can, but only downwards.
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>>17001633
The amount of mass-energy required to make gravity waves strong enough to propel a spacecraft, is literally astronomical.
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>>17001633
Were not planets technically riding gravity waves
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>>17001866
Ocean waves aren't the same as gravitational waves (ripples in the fabric of space time caused by two colloding celestial objects)

File: Ernst-Mach-1900.jpg (229 KB, 1280x1409)
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>You are standing in a field looking at the stars. Your arms are resting freely at your side, and you see that the distant stars are not moving. Now start spinning. The stars are whirling around you and your arms are pulled away from your body. Why should your arms be pulled away when the stars are whirling? Why should they be dangling freely when the stars don't move
>Mach's principle says that this is not a coincidence—that there is a physical law that relates the motion of the distant stars to the local inertial frame. If you see all the stars whirling around you, Mach suggests that there is some physical law which would make it so you would feel a centrifugal force.

How cosmic max speed survive this? Relativity guys pls?

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The Royal Society made the Boron buckminsterfullerene paper open access
https://pubs.rsc.org/en/content/articlelanding/2026/sc/d6sc02674e
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What about the Terran or the Split ?

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The whole thing sounds retarded. Like if it wasnt 100 times easier put datacenters on Earth.
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>>17002514
Plenty of unoccupied land on Earth. For some reason AI companies what to plop them down in people's backyards and then wonder why everyone is angry about it.
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While there are no technical advantages to data centers in space, I wonder if there might be advantages in the types of data that can be legally stored there? Like, would it be the equivalent of housing a data center in an off-shore facility in international waters?
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>>17002665
I think it could apply the same law that there is in the country from where the company is. For example in the ISS the law that applies depends on what module you are, in each module applies the law of the country that made that module.
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>>17002543
>>17002566
They're going to fill the atmosphere with burnt up datacenter dust.
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>>16995694
There were also the hypothesis that the galaxies were some machine to think through and that speaking to possible purpose one to the things that the galaxies were there to was to process information and pattern through the degrees to substance and the concrete abstract and the mind and nature and that sort to thing what were the mind what were the nature what were mind what were nature

Still don't understand tensors. How is a /sci/ tensor different from a /g/ tensor?
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>>17006567
it's helpful to remember that vectorspaces are a very general idea.
if there is a notion of adding and scaling things from some set, the set is likely an examples of a vectorspace
for example, matrices (a type of tensor) are also a type of vector, since you can add and scale like-sized matrices
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>>17004848
Actual good and informative post on this board
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>>17005874
that's for advanced beginners.
But for a full-blown retard like me, this is the video that finally made me grok tensors:
https://www.youtube.com/watch?v=bpG3gqDM80w
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>>17006707
the difficulty with tensors is they are fundamentally algebraic constructs, and not geometric
sure, there are examples of tensors that you can interpret in some geometric sense, but they invariably fail to capture the full concept
i can't think of anything else in linear algebra that just outright fails to have some sort of basic finite dimensional geometric interpretation that you can appeal to on some level

another difficulty is that when developing the algebraic machinery behind them, there's a desire to get rid of bases altogether to show they are independent of the bases used to practical calculation with them. on one hand, basis independent math is desirable because bases are something extra you impose on problems to describe them and not inherent to the math at hand, but on the other hand tensors are just so damn easy to work with given a bases that it seems absurd to some degree how many hoops you have to jump through to formulate the basis-independent math
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>>17004793
Everything is a boolean.

File: More Math Books Guide.png (2.61 MB, 4125x2400)
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What are the best resources for teaching yourself math? Books, websites, video series, etc?

https://www.youtube.com/watch?v=UIKGV2cTgqA
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>>16994031
"Teaching material" always shoves the stupid teacher's voices in your face. Even with books you're still subjected to this to some extent. Today you should just ask AI to teach you anything you need to learn. In fact, there's no point in learning anything anymore unless you have a goal.
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>>17006441
well you misunderstood me, I even said how the government is trying to fuck the good unis up. I am just happy about some of my countrymates getting to experience good math education, and the only good thing thats happened over the decades is a rise in awareness that there is math out there thats not "hecking jee". And sorry for that last thing, guess i got worked up. If anything, I hate India more than anyone here because I actually have to live in it.
>>
>>17006555
Absolutely. I'm from a shithole myself so I can empathize
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>>17006555
ignore the chuds. thank you for free NPTEL lectures. i'm learning organic chemistry using NPTEL.
>>
>>17006751
I am sorry, I have never had experience with that, but I looked it up, and I would recommend against using it. In general I would be cautious of anything coming out of enginnering institutes in India. You could just read books you know? I was never advocating for the good quality of education in India at large, I was just saying some students in actual good unis here are motivated enough to self educate using proper resources (BOOKS) which causes the environment in those places to be good and more opportunities for them since good professors flock to places like that.

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This is true science.

https://youtube.com/shorts/BfBc3YOaIgo
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>>17005508
it do be like that
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>>17006224
all the principles come from science. Nobody said anything about worship. You sound buck broken
>>
>>17006495
False, common sense and reality > made up science garbage
Not a single shitentist ever did something useful in their life.
Next you are going to claim science built architecture and white men owes everything to useless liberal scum.
>>
>>17006242
You won do shit timmy. We'll build another Hindu temple on tip of a church and you'll do nothing but grow old and die in one if the reservations we Indian Chad's let you live in.
>t. Future CEO in Texas
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>>17006686
nta but, vishnu tongue my anus

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AMOC collapse has started.
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Do climate cucks get a stiffie justifying, defending and rationalizing their ScienceTM's consistently failing predictions? I would like an answer in haiku form.
>>
>>17006205
Which predictions failed?
You can not name one at all.
You are full of shit.
>>
>>17006559
>full of shit
Absolute smoothbrain.
Global Cooling killed me.
The Ozone Layer killed me.
Glaciers melting and Oceans rising killed me.
The Great Climate Migration killed me.

You are no better than an Independent Baptist, sad boy. Yours is not Science, it's a Funko Pop collection of ways you wish the world were ending so you'd have a rational excuse for a telos.
>>
>>17006595
Global cooling was never the consensus.
Nobody ever said the other things would literally kill you. But they all objectively happened and are happening.
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>>17006595
>Ozone Layer
https://en.wikipedia.org/wiki/Montreal_Protocol#Effect

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>>16998768
All things in moderation.
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>>16998789
Einstein, despite being a jew hated "experts"
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>>16998771
I laughed
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>>16998768
The future of eugenics is genuinely hopeful. Scientists aren't supposed to be some pundits. They're supposed to give us the tools and we'll figure it all out together, without black people.
>>
>>16998771
Shitentists are whores so it makes sense.

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Red light therapy ( RLT ) is becoming increasingly popular. I smelled a scam but surprisingly there are plenty of scientific studies which show health benefits for skin conditions, arthritis, and aiding muscle recovery from injury.
That said there are also plenty of sharks trying to sell RLT devices for home use, trying to make a quick buck.
I dont want it for myself but for my dog who is old and arthritic. I know her time is coming but I want to ease it as much as possible. And yes, there are RLT products out there for dogs, and yes the prices being asked are fucking insane. I smell scammers taking advantage of desperate and ignorant people. Making ridiculous claims and selling just about any red light emitting device as RLT, with very little way for consumers to verify the quality and effectiveness.
Which leaves me, with only a High School education, asking some questions.
As I understand it direct sunlight is all colors. So by just by being in direct sunlight the body should be absorbing a dose of red and near infrared light anyway. So whats so special about sitting under a red bulbs or LED light? Unless you live in a frequently cloudy climate.
From what I have read the main wavelengths used in RLT are 630-670nm, 810-850nm and 1070nm. Is there any simple and cheap way I can produce these wave lengths at home for my dog without being suckered into RLT devices which I really cant afford anyway. Is an ordinary $5 red light bulb just as good as some fancy array of red LEDs which cost hundreds, even thousands of dollars?
Discussion of RLT welcomed.
Knowledge, experience and advice all appreciated.
Also, please dont ask me to go ask on reddit. They are the blind leading the blind. I hope to get some sensible insights here.
25 replies omitted. Click here to view.
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>>17000939
>the red light stimulates the mitochondria in cells, making them produce energy more efficiently
>the mitochondria are what create the little fuel, ATP that your cell uses to do all kinds of things
>lots of ATP is needed to repair muscles for instance
Not OP, but isn't that what creatine is for, giving you more ATP? Red light therapy, at least what I've seen it advertised for (picrel), is mainly for skincare benefits. I've taken creatine and have never seen skin benefits from it.
So it can't just be that mechanism of action.
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>>17006176
don't forget to put some red bulbs up your ass so you get the benefits for internal organs too
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>>17006318
this, also bigger lightbulbs work best since they emmit wider light waves
>>
The answer is simple, Red is the color with the least bothersome photon energy to the eye because it's the longest wavelength
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>>17006318
Not going to happen because I understand the science. But that's something you would do after your grand father has finished fucking your stupid ass.

If, in some cataclysm, all of scientific knowledge were to be destroyed, and only one sentence passed on to the next generation of creatures, what statement would contain the most information in the fewest words?
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>>17000951
>Germ theory of disease
This may be the answer: "Wash your hands."
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>>16996339
the world is made up of tiny things called atoms, that vibrate and cause all other things.
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>>16996339
The universe is a simulation.
>>
By nuking the coordinates 32°04′48″N 34°46′48″E we can have infinite energy.
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>>17006539
Kek

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Why does it go up as they get older?
Shouldn't it be the other way around?
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>>17004532
It means that the tax base will take a severe drop and the incoming contraction will be dire. More so because it's not even remotely gradual.
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>>17004311
That's actually an argument for impregnating Southeast Asians while they're young.
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>>17004388
10k years of devolution is pretty sad.
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>>17004428
Yeah but the low impuse control women still breed more than their higher iq working counterparts
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>>17005930
Barely lol.

If time stops at speed of light.... what does that even mean? How does light even....move?
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>>17002803
I followed an ending chime from monks Tingsha cymbals down with the phonons to an atomic scale for a vision.
The electrons changed to around dozen small orbs from a cloud when I was near, They were all on an incline, like an elevator toward the nucleus.

At the end of the vision, I flew off and it caused the electrons to emit light. All the elections lit up and I think they make a wave packet. Light isn't just one part, it travels length ways in a wave and is separated out to the spaces that the electrons had.
>>
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>>17002803
yes, yes, therefore earth is flat, you right op
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>>17006065
Because hes a good goy who believes what he is told
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>>17004001
pedantry
>>
>>17003981
It moves if it's being observed


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