#prime field

[thresholdbb]

what's the threshold theory

There was a post about how Tom is the only crew member who isn't really affected by the Borg, and there's a theory that he has so much luck because he saw the past and the future when he crossed the transwarp threshold. He saw the past and the future, all of time and space. There's some subconscious part of him that remembers that experience. In fact, Tom refused to play a part in Chakotay indulging Annorax's temporal incursions, probably because a part of him knew nothing good could come of it.

If we extend that same theory to Janeway, some of her wild luck with time travel and other crack plans starts to make sense. She doesn't verbally hate time travel until after the events of Threshold, since it happens in Time and Again without complaint. Janeway has an uncanny knack for time travel, as evidenced every time she deals with it. She hates time travel, but it might be because part of her knows exactly how to manipulate the timeline. She manages to avoid the "inevitable" temporal explosion in Future's End, saving both Voyager and Braxton. She resets the entire timeline in Year of Hell, and no one else followed her reasoning. She pulled it off flawlessly. In Relativity, she senses the incidents are all related, despite it being just one reading that connects them. By the time she's involved, she has a temporal incursion factor of .0036 and a time travel protocol named after her, even if that may just be Braxton's personal grudge. Then there's Endgame, where she intentionally changes the timeline. Up until this point, she has been dragged into time travel, but for the first time, she jumps in on purpose. How does Admiral Janeway know how to get them home sooner in a way that completely avoids the Temporal Integrity Commission? It's because she has seen all of time, and part of her knows exactly what needs to happen so she can get Voyager home and do it in a way that becomes baked into the prime timeline. Maybe she doesn't consciously remember what happened during her transformation, but the experience lives in her mind somewhere, guiding her decisions.

[casualavocados]

It made me think of us. All of us. And how together we face the impossible. (insp by @markantonys)

THE WHEEL OF TIME 2.01 A Taste Of Solitude | 2.08 What Was Meant To Be

[norman-b]

Every time I think about how transvestigators would go after Homelander in The Boys universe, I start laughing 😭

[kaiserouo]

i love him

tbh i think the lineart is better than the final result

[mizukagami-takamagahara]

Two versions. Original post by eveydeevey.

[moominpopzz]

Sorry guys just got full fledge body slammed with the idea of Ashe not actually making it through the Trickster leaving her body.. an AU where there was too much unbelievable strain because of the long lasting period she was possessed, the fact it was so sudden. The way her body was thrown around. The way the Trickster split parts of her open to make room for itself.

An AU where when Mark’s holding her body, rough textured from bright red scars and the faint burned in lettering of ruins, blood seeping onto his hands from her skin, from where it was ripped open to accommodate the Trickster yet it no longer resides, she’s not breathing. Her body was pushed well too far past her limit, Mark’s holding his child, but his child’s not there. She’ll never wake up again, with her mother now. Possible been with her for months - who’s to say she was somewhere still in her body the whole time? The Trickster doesn’t need an extra soul with him, all he needed from her was the girls body.

Au where the boys were fighting for the girls corpse without even knowing it. She’s still being puppeted so how should they? Where Mark starts screaming and wailing when he realizes she’s not breathing, no heartbeat to be found, her blood staining his clothes and hands and arms. She isn’t even allowed to look peaceful, body in shreds from the takeover.

They all fought so hard. They were supposed to have their friend back, Mark was supposed to have the only thing he ever fought for back. Instead they have her body. Her body but not her, they’ll never have her again.

[fishalthor]

wot season two countdown: day three - favorite location

↳ emond's field

[coffeenuts]

[blastofsports]

[bubbloquacious]

Jacobson's Basic algebra 1 gives such a nice argument for why algebraic numbers have minimum polymials, making it a corollary of the fact that polynomial rings over fields are principal ideal domains. Consider a field extension E/F (i.e. a field E that contains a field F). For any u ∈ E we have in E the subring F[u] and the subfield F(u). These are defined as the smallest subring and subfield of E respectively that contain both F and u. If E = F(u) for some u ∈ E, then E/F is called a simple field extension.

Let F(u)/F be an arbitrary simple field extension. Consider the polynomial ring F[X]. By the universal property of polynomial rings (which is essentially what one means when they say that X is an indeterminate), there is a unique ring homomorphism F[X] -> F(u) that sends any a ∈ F to itself and that sends X to u (you can think of this homomorphism as evaluation of a polynomial at u). If the kernel of this homomorphism is the zero ideal, then F[u] is isomorphic to F[X], so u is transcendental over F. If the kernel is non-zero, then by definition there are non-zero polynomials p ∈ F[X] such that p(u) = 0 in F(u), so u is algebraic over F. Because F[X] is a principal ideal domain, there is a polynomial p that generates the kernel. In other words, p divides all polynomials q such that q(u) = 0 in F(u). Two polynomials (over a field) generate the same ideal if and only if they differ by a constant factor, so there is a unique monic minimum polynomial in F[X] for u.

[puckpocketed]

Anton Silayev PEAK easily spooked horse. i get you so bad my dude. you’re huge and they keep asking you to move the puck and do Everything but you simply do not have that gear . sweet defensive defenseman prince …people come at you and you explode. there is a stone in your beautiful hoof and thats everyones problem now!!! like LOOK at this:

he’s in juniors and he simply does Not want the puck actually .!!!

they were sooo high on him earlier in the season i remember it leaking through to MY limited channels of hockey news (because he’s 6’7 — and quite possibly the best skater to come out of this draft according to some??) like they thought he’d go 2nd overall. saw his tallgirl status and saw that he could skate but didn’t consider that actually he ain’t made to break the puck out … that’s just not his vibe unfortch </3

[halcyon-autumn]

My hope for the season 2 finale is that Moiraine, after breaking up with her wizard pope girlfriend and having the WORST field trip of her life through the Ways with Lanfear, gets to Falme and finds out that Mat is there - Mat, who abandoned them on their way to the Eye of the World, Mat who she thinks is already falling to the Dark, Mat who even in season 1 had a “yeah I’ll take an edible from the devil’s best friend” vibe - and then utters the phrase she’s deserved to say for two seasons: “motherfucker.”

[000marie198]

*Ominous voice* "I hate chilidogs."

*Le dramatic gasp*

[jakey-beefed-it]

Legitimately annoyed that like two weeks after I decide to maybe get into admech they preview a load of super-cool minis that I would love to use if they weren't Heresy-era only.

[mizukagami-takamagahara]

Mori's first post on Bluesky

This seems to be the same image as had previously been posted on his Twitter, though at a different state in its production.

[moghedien]

I really don't get the people that insisted for more than like a few episodes that they were combining Liandrin and Elaida

if they were doing that THE CHARACTER WOULDA BEEN NAMED ELAIDA