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Yay yippee here you go

I am going to do this as a photo of paper because I can’t do matrices on tumblr plaintext

So first we define the matrices for reflection and stretches. There are two possible matrices for each of these. (I am treating the compound ones, ie enlargement and rotating 180 degrees, as two successive repetitions of these two possible matrices, which we already know are commutative.) This means we could have:

Stretch parallel to x, then reflect in x axis

Stretch parallel to x, then reflect in y axis

Stretch parallel to y, then reflect in x acis

Stretch parallel to y, then reflect in y axis.

As I have written, the 1st and 4th of these will behave the same way, and the 2nd and 3rd of these will behave the same way.

So then, I test both the 1st (or 4th) and 2nd (or 3rd) case. And they both work :)

DO YOU ALL WANNA SEE MY PROOF THAT REFLECTION AND STRETCHES ARE COMMUTABLE CAUSE I PROVED IT ALGEBRAICALLY AND IT WAS SO FUN

if this gets a note i share my little proof :3 it's very short and uncomplicated i promise

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the REAL seven stages of paradox psychosis

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STOP

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Posted Nov 19 2024

Did anyone else get the impression from the season three finale of TUA that the new place they were transported was going to be very cyberpunk and fascist/dictatorial place with the father as the dictator and then disappointed when season four was nothing like that? In fact it was kinda the opposite and had a very home-y, small town aesthetic the entire season, nothing like the first impression we got in s3

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Do you ship it?

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gotta watch this…

I was watching the first ep of Paris Has Fallen, Ritu’s latest thing (very good so far!), and although she’s clearly not playing Lila, her character’s vibe felt so much more like her than anything in s4. I was trying to figure out why, and it struck me: it’s because she’s so active - she runs, she fights, she’s bloody and covered in soot for half of it - and when she fights, she’s absolutely brutal with it. She gets down and dirty, she struggles, and no move is off-limits. She fucking kills a mime with a stiletto heel.

Does Lila in s4 do any of that? She’s so static! She sits in the truck, she sits on subway trains…she stands and talks, or watches other people talking…she goes to meetings…in the fight with Ben, she’s mostly helping Allison... Even when she does fight, they’ve lumbered her with a shiny new power that means all she does is stand in a corner and look. What a fucking waste!

I mean, there weren’t many decent fight scenes anyhow - certainly not enough to go round - but of the few there are, Lila is always at the edges, never involved, and like…no. Not my Lila.

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the best temporal assassin in the commission will fix this

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I told my students they're allowed to be creative and don't have to be factual when writing about themselves in German because I keep getting questions like "what if I don't have roommates or what if I don't have hobbies" and I'm like guys just make something up! Have fun! I won't fact check you!

So now I am grading homework where a student is claiming to be from North Korea and his hobby is tax fraud

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Living forever in TUA S2. My evil twin is back and writing these two and it reminded me to finish this old thing.

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i know we've all agreed that the umbrella academy season 4 was shit but the alternate timelines subway concept was actually sick and i'd watch a whole show about just that.

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i made some tua textposts

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it’s finally october 1st, a national holiday (to me)

+ one armed five agenda continues @voteforevilthoughts @cheese-grater-terminator

based off this cursed fucking stock image i found on google

+ without banner

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I love it when there's a guy who lost their name. forgot it, discarded it, don't use it, can't use it, had it stolen, even just when a title is used to avoid saying it. all good stuff

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HI

Im not really active on this side blog any more but @nosolaceofastraightanswer posts about tua a lot

Hi! This is random but I'm looking for other TUA blogs or people who post about that. Do you know of any? It's just really quiet over at my sideblog snarkyfivehargreeves.

omg so sorry i will absolutely check out your blog!!

ok so i am a fan of tons of tua accounts, im dropping my favs off the top of my head but i might have to come back and add more if they slipped my mind. also if you’re reading this and you post about tua and i missed you pleeeeease reblog or comment !! :)

@c0ffeeb1ack

@ashes-and-starlight

@v1trum

@fix-tua-s4-resources

@voteforevilthoughts

@giant-ball-of-twine

@matuk-art

@lookingforhappy

@circumstellars

@st4rshipr4nger

@big-ball-o-twine

@brellafaun

@its-raining-brellies

@umbrellalavender

@tinned-beef

@d3sp4ir-c0d3

@clementineofmine

@itty-bitty-rampaging-committee

@pancakeswithbutterandsyrup

@five-hxrgreeves

@too-many-umbrellas

(again, they’re in no particular order, just the order i remember them in!!)

thank you to all of these blogs for being so awesome and providing us with such good tua fancontent!! <3

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Me and the mutuals filling eachothers dashboards w the exact same posts we've reblogged from one another

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the executive decision of giving “i think were alone now” to the other hargreeves but then “dancing with myself” to five is diabolical in ways i cant even get into

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The Umbrella Academy 1x03 - Extra Ordinary