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fundamental rule of galois theory

I don't know if the proof is right because answers to Rotman's exercises are hard to find (for me)

Tbh this should be marked as NSFW, math gore

EDIT: re-read it and I didn't mention that there are no factors that permute roots between g and h since the intersection of their Galois groups is trivial, also not sure if xi and gamma are even elements in the subgroup of S_n (they should be cause the proposition is true, idk how to explicitly show D:)

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on my first ten after coming back...

On a 50/50 too, yippee I love meta I love meta I love meta I lo

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is your voice part of your threat model?

I wanted to maybe start making PeerTubr videos, but then I realized I've never had to consider my voice as part of my threat model. A consequence that immediately comes to mind is potentially having your voice trained on by AI, but I'm not (currently) in a position where others would find it desirable to do so. Potentially in the future?

I'd like to know how your threat model handles your personal voice. And as a bonus, how would voice modulators help your voice in/prevent your voice from being more flexible in your threat model? Thanks!

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Don't forget where we came from and what shaped us as a species. The Jungle.
  • AFAIK many (?, please correct) vegans don't eat honey, and that's consistent with most of the people I know IRL. It tends to sway between "I try not to eat animal products" and "harvesting honey hurts/exploits bees", the latter of which may be true for industry-scale honey, but I don't see why local honey isn't an option

  • Don't forget where we came from and what shaped us as a species. The Jungle.
  • I had thought that veganism was more of a beliefs thing: to not eat products of exploitation, but then I heard the honey thing. The honey thing might be just from an overbearing vegan, or I just don't know the details, but beekeeping just looks so peaceful

  • What's the deal with Signal?

    I don't know if I'm opening a can of worms here, and I'm still trying to backtrack a lot of history where I was tuning everything out. I keep seeing random swipes at Signal (or the representatives (?)), and I was wondering whether they are founded or just lies.Is it another situation like Lemmy where we just "take the technology and move on"? Thanks!

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    Yep
  • One of my regrets about not having Twitter is that I don't know what's going on over there, which tbf is probably better for mental health, but it's better to listen in just cause information is power. Though, I must imagine it's just a damn stupid echo chamber (also tbf, all social media)

  • State of the game now?

    Hey y'all, I dropped the game right after penacony finished, and I know that there's a story in the Luofu and Amorphous (?) is next. I was really considering getting on and pulling Fugue since I like her design but I'm broke xd.

    Main thing I would like to know is mechanics updates and meta engines. When I left, the break engine teams had just taken off (my E2 firefly still smashes everything) and my follow up RRAT (Ratio, Robin, Aventurine, Topaz) was heavily falling off. Damn I should've pulled for Lingsha damn.

    I heard about Rememberance path, I just heard summons buff so like Jing Yuan/Topaz stuff ig?

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    I wasn't gonna drink tonight but man... I'm missing orespawn like a MF

    Oh Orespawn my beloved, it's times like these that I wish I cherished you a bit more

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    Can you always inscribe a square in a closed, continuous curve?: A Topological Perspective [27:25]

    The math background needed to enjoy the video is not very extensive. Grant Sanderson (3blue1brown) explains everything to the best of his ability from a perspective of "discovering mathematics" and helping you "convince yourself" that you could have come to the same conclusion as well (i.e. grasping as much of the proof as you can). And if that goes over your head, then the animations are still really pretty!

    My description: > An intreguing video that takes an innocuous problem of finding an inscribed square in a closed, continuous curve and connects it to familiar topologic objects, like the torus (or the coffee mug!), the Möbius strip, and the Klein bottle.

    Timestamps:

    0:00​ - Inscribed squares

    1:00​ - Preface to the second edition

    3:04​ - The main surface

    10:47​ - The secret surface

    16:45​ - Klein bottles

    22:38​ - Why are squares harder?

    25:10​ - What is topology?

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    rule and blaze

    I swear @Blaze@feddit.org is everywhere bc he's here and I saw him in !linguistics_humor@sh.itjust.works and like two other communities 😭😭

    Also just side ramble: lowkey this was kinda funny in a post-post-ironic way: first, it was meh funny because the guy rapping in such a shy voice was a bit funny and he's cute ig but NEXT; Second, the comment about the therapist genuinely made me cackle; third, and probably a bit more unfounded (?) is that the fact that multiple people can find this funny (the shared experience of laughing together?) ties off the humor with a bow and feeling of content fulfillment.

    Slight context: bro was rapping the part of "DENIAL IS A RIVER" by doechii starting with "I mean fuck, I like pills" etc.

    I just type random words sorry

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    convincing rule

    The context behind this scene is hilarious, but it's like 151 chapters into the manhwa so I can't even explain why it's so funny

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    How different are RISC-V laptops?

    Hello all,

    I've only done very basic research on RISC-V as the DeepCompute RISC-V mobo caught my attention. For the software side, I know that support will (probably) come with time, so I can't really do much besides lament over it huh?

    The main thing that caught my eye is that the DeepCompute mobo seems to only accept SD cards for storage. Is this a hard limit of RISC-V or is it just a limit of current technology (i.e. we need time to build something over RISC-V like x86_64/amd64?)?

    I've also heard that Linux ran vaguely slow on RISC-V architectures, but ive only heard it as a passing comment. How true is this? Would future developments/putting in more time like for the decades behind x86_64 developments alleviate the speed issue?

    Thank you all!

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    rule + question

    Do you guys post something everytime you visit a post FROM !onehundredninetysix@lemmy.blahaj.zone or just everytime you decide to scroll through the community?

    Also I stole this image from someone and idk who it was or the original source so 👺

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    Had to read up on this community...

    And fuck I got trapped! Enjoy a picture of chad Kim Dokja from ORV drawn by the artist of Nano Machine :)

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    AskPhysics @lemmy.world LGTM @discuss.tchncs.de
    Can we see an object twice at the exact same time at far distances?

    If we look into a far off distance at an object travelling towards Earth, shouldn't we be able to see both the light from the object at some time t plus the light at some later time (t + delta t)?

    Let's also assume that the object is traveling fast enough that it is discernable. This point might be moot, since I'm not sure if such a situation is possible. I know that Rayleigh's criterion could give us a lower bound for how far the images of the object has to be, though I'm not sure how complicated it would be to throw redshift into the mix.

    This seems like one of those "Whoa this feels see weird causally but it's just a natural consequence of things we've observed thus has little repercussions as to what limitations physicists actually work around." Actually, I could see perhaps long exposure photos (or the telescope equivalent, if it exists) could run into issues.

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    InitialsDiceBearhttps://github.com/dicebear/dicebearhttps://creativecommons.org/publicdomain/zero/1.0/„Initials” (https://github.com/dicebear/dicebear) by „DiceBear”, licensed under „CC0 1.0” (https://creativecommons.org/publicdomain/zero/1.0/)LG
    LGTM @discuss.tchncs.de
    Posts 19
    Comments 72