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File: IMG_0423.jpg (16 KB, 612x612)
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I finally understand imaginary numbers. It's actually simple, imaginaries count things that may exist, but don't exist yet. For example, if an apple tree is predicted to have 12 apples, and it currently has 8, then it has 4 imaginary apples.
142 replies and 6 images omitted. Click here to view.
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>>16882888
>almost
should be also
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>>16876881
Speaking more on the complex numbers, we cannot neglect the represent which has a the matrix [math] \hat{i} = \begin{pmatrix} 0 & - 1 \\ 1 & 0\end{pmatrix}[/math] and [math] \hat{1} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}} [/math]. Here we have the complex number express as [math] Z = x \hat{1} + y \hat{i} = \begin{pmatrix} x & -y \\ y & x \end{pmatrix} [/math]. The matrices which preserve the circle are the elements of SO(2) which is a very nice. The complex multiplication rule in this representation is just a consequence of normal matrix multiplication. It's quite a notable fact that there is the direct correspondence between SO(2) and the unit circle in the complex plane.

We can essential start with SO(2) and get the complex numbers by simply writing them as [math] Z = r \Theta [/math] where [math] \Theta [/math] is an element of SO(2) and [math] r>0 [/math] for ease. For SO(2), we can take the standard parameterization [math] \Theta = \begin{pmatrix} \cos (\theta) & - \sin (\theta) \\ \sin (\theta) & \cos (\theta) \end{pmatrix} [/math] to get the standard polar form of a complex number, or in other words [math] Z = r \exp { \theta \hat{i} } [/math]. Of course SO(2) is the Lie Group which all transformations on the unit circle are invariant.
>>
>>16876796
so can i use it to predict the market then?
>>
>>16882933
If you want
>>
>>16882933
You can use anything to predict the market, people literally just put names of stocks in bowls and buy the ones their pets eat out of.

File: Master-skewb.jpg (43 KB, 652x645)
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Are you smart enough to solve twisting puzzles?

I have thought about getting a master skewb (picrelated) and trying to solve it from scratch without knowing about any algorithms. It has almost a billion times more possible combinations than the regular Rubik's cube.
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>>16883944
><redacted, sha256=0deae6cc87f75f951d6a3d0f8b4e5c6a5f255db6797649143e2e528924b91c4e>
did a bot just print some sort of identification code or something? lmao
>>
>>16883607
Someone probably made a Caley graph for it, so yes, since I can just look it up on google, or ask 'ai' for instructions.
>>
>>16883607
Yes. Just disassemble the cube and put it back together.
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>>16884195
>Someone probably made a Caley graph for it
That's just brute force which is a stupid method given the size of the group. Here's your homework if you want a hint.
>>
>>16883607
All you need is basic twisty puzzle intuition.
If you can modify a single piece of a layer (while doing anything to everything else) then you can solve the puzzle.

1) Modify single piece on layer (can usually be done in 3 moves)
2) Rotate unmodified piece of layer to modified position
3) undo modification sequence 1
4) undo rotation in the layer from 2
this is a commutator
this gives you a 3-cycle of 3 pieces
you can use the 3-cycle to insert pieces 1 at a time

File: elements.png (1.56 MB, 750x1000)
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What am I in for?
>>
>>16885037
Mostly stuff you learned in middle school but done through a perspective of geometric construction rather than algebra.
>>
>>16885037
>I don't like sand. It's coarse and rough and irritating and it gets everywhere.
> -- Euclid (Oy-klid)
>>
>>16885037
The greatest mathematics book ever written
>>
>>16885037
thumb looks like the student is puking all over the figure being drawn
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>>16885163
Getting your face shoved into a sandbox will do that.

File: 1740124021741417.jpg (74 KB, 736x736)
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If science was magic, and mathematics was like, the arcane language of magic, going off the D&D schools of wizardry, which field of science would belong to which school?

For example
>psychology = illusion and enchantment
>geology = transmutation and abjuration
>physics = evocation and conjuration
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>>16879718
*bzzzt* wrong.
>>
>>16870697
>Assuming we had enough intelligence, they could eventually explain their tech.
Unironically read Lord of the Rings, moron.
>>
What magic hating mod deleted all the posts in this thread LMAO
>>
>>16884912
For me, it's the #3 Local (northbound).
Always has a schizo arguing with himself.
And losing.
Once he started making sense. I got off and walked home instead.
They never did find that bus.
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>>16884911
And he probably reported all the deleted posts in this thread kek

File: G8Qs9SYXMAQIt9c.jpg (574 KB, 4096x2305)
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Earth's magnetic field has weakened 35% or so from the Holocene peak. We're now just 6% above the level last seen during the Sahara's desertification (~7ka).

The rate of decline most closely resembles the Gothenburg Excursion. However, compared to the historical timeline, we are free-falling. Note that the Gothenburg excursion was coincident with the Pleistocene Extinction, which saw the erasure of many species of megafauna.
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>>16882868
What even records this in a way that persists through time?
>>
>>16884535
Not immediately. It's taken a few centuries to get to where we're at now. It might take a few centuries to go back.

>>16884547
Yes

>>16884612
Noah in the Bible is a retelling of the Babylonian/Sumerian Atrahasis Epic. Most ancient cultures have some form of flood myth, which was originally passed down orally. It would seem some actual traumatic event inspired the story.

>>16884694
>What even records this in a way that persists through time?
Sediment deposits, magma deposits, fossilized trees.
>>
>>16885050
>Most ancient cultures have some form of flood myth, which was originally passed down orally. It would seem some actual traumatic event inspired the story.
Most ancient cultures lived near flood plains. It would seem more likely they independently derived these stories from independent local observations.
>>
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>>16885053
Most ancient cultures also lived near the coast. The sea level was ~250-400 feet lower 12,000-16,000 years ago.
>>
>>16885060
Yeah but that was much too gradual for anyone to notice in real time. At most Grug would have taken note that some trees he grew up knowing were a tad more waterlogged than he remembered.
It was a period of hundreds of years.

Again, best explanation is that great flood myths were one if many "what if [thing] but bigger?" stories that you see dotted all throughout ancient mythology and even to the modern day.

File: cirno.png (409 KB, 1002x797)
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i feel like image of cirno fits the fibonacci sequence or am i retarded this doesn't look right
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>>
Hellllllooooooooooooooo anyone there
>>
henlo
>>
Kinda fits bro. And no, No one is here. We are alone and I am nobody. So you're alone. Ha. Loser.
>>
You are retarded thinking it means anything. You can literally fit it anywhere if you try hard enough.
>>
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>>16884475

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When I’m focused on my work in class and someone talks to me, I get jump scared it’s like I forget I even have a body and exist only as a floating mind. Whenever I'm on a long study session or playing videogames I forget I have a body and don't realise until I get so hungry I'm dizzy. Does this happen to anybody else?
>>
>i am "in the zone", knowmean?
You are speaking Wakandan, kot.
>>
>>16884938
I hope you remember to pay bill when you grew up, lil nigga.

File: 1766782581129443.jpg (111 KB, 749x749)
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>take grade 12 calculus
>hard, but manageable and requires long study
>take grade 12 english
>ayo write out dis shawt stawry fa meh and make sure to include ya pronouns honey, jus write wat ya heart wants
so we're just doing this now, huh?
>>
>taking calc as a senior in high school
brainlet retard ur ngmi
>>
>>16884957
Calc 1/ab is piss easy HS teachers like making it harder than it seems because they had bad teachers and want to pass on the pain

I got a general bachelor's in math 10 years ago and have looking at going back to school/change careers.

Is becoming an actuary just another soulless job where my conputer does everything for me or do you actually get to use math
>>
>>16884893
You take a lot of exams. The more you pass, the more you earn.
The computer does the math.
You do the accounting.
>>
>>16884893
>working for insurance
>caring about soulless
nigga just raise premiums on the pregnant single women and get that bag

I got these results using my custom monte carlo code for a pure bare Pu239 sphere of 6.5 cm. Taking into account this is pure plutonium and that the critical radius is about 4.9cm what do you guys think?
Right now i'm working on adding tamper geometry and multiregions. Next will be coupling with an hydrocode to predict yield estimations and several refinements. It's written in C++.
1 reply omitted. Click here to view.
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>>16884716
Thanks for your feedback. My goal is to test against the Godiva and Jezebel critical assemblies and try to get k as close to 1 as possible. Right now i'm implementing multimaterial regions to account for the 3-4% Gallium on the delta-phase Jezebel plutonium. The data i'm using are the Hansen-Roach 16-group cross-sections.
>>
>>16884724
once you start referencing real configurations or alloying details, the discussion needs to stay firmly in verification/validation and uncertainty quantification territory rather than tuning toward a target keff; for a code-development goal, keep it framed as reproducing open, non-operational benchmarks, report uncertainties and convergence behavior, document the nuclear data provenance and sensitivity, and stop short of configuration-specific optimization—those practices are what make the work scientifically credible without crossing into unsafe or non-public design space.
>>
>>16884716
>>16884756
ai generated posts
>>
>>16884709
That looks reasonable enough.
OpenMC is the easiest to obtain code if you want to validate it without waiting a month for RSICC to respond
>>16884716
>AI post
100000 initial neutrons and 250 steps should be more than enough to reduce uncertainty in keff below .001, even for a full reactor
>>
Any sources for the hydrodynamics? I already plan on purchasing Zeldovich's book.

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Pic related, what textbook did you use in your solid state physics course? Was it a good textbook that taught you well or was it bad, if so, what are your other recommendations to read?
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>>16880631
>>16880648
You are a piece of shit and you deserve everything bad that happens to you
>>
>>16880552
An A of course, but it wasn't a particularly demanding class. Why do you ask?

>>16880491
>compared to teaching mechanics or e&m, those classes are boring
Hey, E&M is fun
>>
>>16879855
Ashcroft mermin is quite good its very straightforward in its explanation kinda like the C programming book. Kittel is also nice. If I remember right but both are quite lacking in terms of modern topics I don't know if there is any solid state book that also has a short chapter on simulations that would certainly be a good topic to cover.
>>
any more recommendations?
>>
>>16884831
It doesnt look like it, it seems ashcroft and mermin is the best one according to other internet site reviews.

The field of solid state physics jist has not updated their books in quite a while.

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This giant of biology has recently passed at the age of 97. What's the verdict? Gifted pioneer of scientific inquiry or scheming, bigoted plagiarist? There is no middle ground.
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>>16879411
His son was probably more intelligent than your entire brown ancestry even after the chemical lobotomy. What's the contradiction?
>>
>>16880326
I am a blond blue eye 6'2 milk drinking white and also schizophrenic.
>>
>>16852678
just another science bitch
>>
Liberal nutcase mods deleting rational posts because it is like squirting acid at their irrational behaviours kek
>>
Poor, poor old man…

>2026
>still not one (1) good AI girlfriend service in sight

What are you fucking doing. Fucking nerds, fucking do it already. What are you waiting for. Seriously. You fuckers had one job. DO IT. FUCK i'm lonely

And no, horny bots don't count. I want a relationship not 10k tokens of boobaslop. DO IT for of all of us who can't code shit. You have a DUTY, nerd. Use your skill. The world is WAITING. ENOUGH
2 replies omitted. Click here to view.
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>>16884189
I legitamtely built mentally for coping and managing it to the point I could do so for hundreds of years in isolation, do people just make stuff up because thinking of humans with alternate instincts or to alien to imagine?
>>
ai builder here, it's unethical, you cannot pour relational emotion into a machine, sorry but not having a real ai gf is medication, take it
>>
What's wrong with the ones that are available? You realize that you have to have relevant inputs to get the outputs you want, correct? It's a computer, not a real person.
>>
>>16884189
A lack of planning on your part doesnt constitute an emergency for others.
>>
>>16884189
Bro just download snap and get a human gf dude, their way better


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