#hyperbolic functions

[er-cryptid]

Derivatives of Hyperbolic Functions [Ex. 2]

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[vincenzo-riccati-official]

hey

Hyperbolic geometry is a meme. So there are these trig functions that are like your normal trig functions but fucked up and evil. And I'm supposed to believe that you can just "derive" the relationship between coordinates in different reference frames near the speed of light from these fucked up and evil trig functions, because "that's what spacetime is shaped like." Ok. Now I'm no expert but I think that's bullshit. I'd like to speak to whoever invented these

[montanabohemian]

i think the most depressing thing about andor is realizing that we (in the u.s. because star wars has always been a scathing commentary of the american empire) don't and will never have our own senators mothma and organa. we're just fucked.

[monimolimnion]

get me out of here

[hesperidia]

thing is i'm extremely pissed about my laptop because it works PERFECTLY FINE it's just one of the hinges (?) of it broke and since it's all fused together with the keyboard and the plastic case i can't open it without it breaking and the guy just said "i'll super glue it. it'll be 20000 pesos thanks"

[giphit]

exams are stressing the hell out of me but more upsetting than the prospect of failing is that I had to pause a rewatch of agents of shield in the MIDDLE of season 5.

like..... there's so much tension, they're so close to getting home and I have physically barred myself from getting through it because I need to get good at made up things like "linear algebra" and "statistics"

[unofficialadamtaurus]

what they don't tell you about migraines is how god damn fucking annoying they are

[mumblelard]

It kind of suggests that "hot minute" is sometimes used in an anti-hyperbolic sense to mean "a long time", and ... "Hot minute" is often used in a sense of "busy" or "rushed", vs implying a literal short amount of time.

Since when has "a hot minute" meant a long time? - English Language & Usage

either this perversely functional, but totally unnecessary, rhetorical neologism, anti-hyperbolic, has short-circuited my brain, or i’ve been sniffing the wrong kind of glue again

[jackwhinesandfavabeans]

I know some ppl clown on it, but I truly do think D*mit*i saying "weh weh my people are too conservative they'll never accept Being Given Human Rights and E*elg*rd is forcing them to accept Having Rights too quickly and we have to stop her :///" is like, blisteringly accurate character writing. I was hollering while reading that. I think the man kinned himself into reality to tell the writers to portray him this way in the route he's supposed to be at his most sane.

[nokingsonlyfooles]

Kinda legit thought I was just fucked up for no reason and my parents lost patience having to put up with it, ya know?

[interpolationz]

at that point in the gravity falls fixation where thinking about it makes me feel physically ill

which is terribly inconvenient because i have a persistent debilitating fear of being sick

[metanarrates]

I haven't seen a lot of coverage in the news about this, but my state has just advanced legislation on a bill that would criminalize trans bathroom use in publicly owned buildings. this could mean up to 6 months in jail and up to $1000 in fees for those convicted.

most alarming aspects of this bill:

-"publicly owned buildings" include airports, schools, libraries, government offices, some hospitals, and most terrifyingly AND explicitly within the bill, domestic violence shelters and rape crisis facilities. transgender people, who are estimated to be almost 4 times more likely to be victims of violent crimes than cisgender people, could become criminalized in the very spaces they seek out to shelter from abuse.

-on that note, the bill potentially threatens federal funding of already-underfunded domestic violence and sexual assault facilities. to recieve federal grants, facilities are required to follow nondiscrimination laws. this law could place the facilities in danger of losing the grants they rely on. this is severely going to impact victims' abilities to access critically needed services.

-the bill legally defines "sex" in a way that has a lot of potential impact across state legislature. according to the bill’s text, HB 257 would legally define a female as “an individual whose biological reproductive system is of the general type that functions in a way that could produce ova,” and a male as “an individual whose biological reproductive system is of the general type that functions to fertilize the ova of a female.” this could effectively end the state's legal recognition of trans people.

-the bill demands that trans people who DO use bathrooms in publicly owned buildings must have undergone both gender reassignment surgery and have had their birth certificate changed. this has several issues, obviously, but the biggest one I want to highlight is that this opens the door to potential genital inspection by law enforcement if someone is accused of being transgender in a bathroom. in addition to any other indignities suffered by being harassed by cops when trying to use the restroom, it is completely possible for law enforcement to now demand to see whether someone's genitals are in compliance with these laws. it's an unconscionable and humiliating invasion of privacy.

-the bill requires trans students to develop a "privacy plan" with their school in order to arrange access to unisex spaces. if unisex bathrooms are unavailable, the student can be granted access to a sex-designated space “through staggered scheduling or another policy provision that provides for temporary private access.”

-the bill allows the state’s attorney general to impose a fine of up to $10,000 per day on local governments that don’t enforce the bill. in essence, any government that isn't sufficiently committed to enforcing these draconian laws may face massive fines until they have reached the attorney general's standard of enforcement.

this is one of the most unbelievably severe anti-trans laws that have ever been proposed in the united states. it would effectively ban trans people from participating in public life, harm nearly every single victim of domestic violence and sexual assault who seeks services in the state, enforce criminality on random trans people in bathrooms, and open every single person who could be potentially accused of being trans up to a wave of harassment and discrimination from both private citizens and law enforcement. I'm not being hyperbolic when I say that this law would literally force me and my transfemme fiancee to flee this state.

the law's been fast tracked to an insane degree through the legislature. similarly to the anti-dei bill currently making its way through, it's only been a week since it was introduced, and it's already passed the house, and is now up for vote in the senate. if it passes both sets of votes, the only thing left in its way is the governor's decision to veto.

please share this post. make as much noise as you can. if you live in utah, please call and email your district senator as soon as possible. it doesn't matter how late you see this. the bill is up for vote this week (1/23/24 at the time of writing) and we need to do whatever we physically can to protest its passing. we've already moved past the opportunity for public comment on the bill, but a few organizations have called for a rally at the capitol steps on thursday (1/25/24) at noon. if you are in the salt lake area or are able to make it there, please consider attending. wear a mask and bring a sign. we are stronger together.

[bogleech]

All the science fiction I grew up on told me some day there would be adorable quirky robots in every home and business that could hold at least a passably realistic conversation with you and help you out with little tasks and kid-me daydreamed endlessly about what that whimsical utopian life might be like. I even had an ongoing little kid daydream about being in the robot biz designing them my own way, maybe having a weird house full of my wacky machine creature family.

Now we have chatbots convincing enough that people get as hooked on interacting with them as they can any real person, we have near perfect voice synthesis and visual recognition software, we have actual robots that can jump around and dance with better balance than a human, we are RIGHT on the edge of little robot buddy world.

But absolutely none of that fiction framed robots as a heartless corporate product that would really just take opportunities from poor people and gather your data for advertising algorithms. Anyone who did not like the robots was supposed to just be mean and quite often a stand in for a *racist.*

Now that it's likely going to happen in the next 20 years I'm just ready to be one of those villains. If you send me a real functioning C-3p0 or Johnny 5 or Data and I see a Tesla or Google logo I am going to gouge out his eyes with a claw hammer and drink his microplastic blood.

This is probably a lie and at best I'd be crying the entire time but I hope you understand the sentiment behind the hyperbole

[thankskenpenders]

Amy's fortune cards

The Sonic fandom has long been the kind of fandom that takes minor details very seriously, for better or worse. On the one hand, this means fans will really dig for the diamonds in the rough, latching onto fun character interactions, animations, bits of background worldbuilding, and more in pieces of Sonic media that many would write off as "the bad ones." But it also feels like every week another needlessly hostile debate over Sonic minutia erupts on Twitter, whether it's over individual lines of dialogue, fanart that makes Tails' shoes blue, or the ideal length and volume for Sonic's quills.

So it was probably inevitable that a fandom-wide debate would erupt upon seeing Amy's new gameplay style in the DLC for Sonic Frontiers, which takes the once-obscure fact that she enjoys reading tarot and shines a spotlight on it like never before.

I mean:

The thing is, while I basically always try to tune out Sonic fandom bickering... for once, I kind of sympathize with the detractors? Don't get me wrong, I like Amy's tarot stuff, and people on all sides of the discussion are being overly nasty about their opinions, as usual. (Sonic Twitter remains my personal hell.) But when I set aside the hyperbole and zoom out, I do think I understand why some fans are put off by the sudden shift in focus for the character, even if I think it's cool.

It's complicated. Let me attempt to present the cases for and against Amy's fortune cards

For years, I was always one of those fans who thought it could be fun if they played with Amy's tarot reading, or even leaned into some kind of magic with her. Part of that is my own biases showing, but there's just something that makes sense there, especially when you look at Sonic, Tails, and Amy as a trio. (I would argue that's the real "Team Sonic" these days, especially in the comics where Knuckles is more likely to be stuck on Angel Island or otherwise doing his own thing.)

You could argue that Tails is all about logic, relying on science and technology and deductive reasoning to solve problems. But Amy is all about emotion. She wears her heart on her sleeve, is extremely empathetic, and is very prone to magical thinking - both figuratively and sometimes literally. Her origin story has always been that her tarot cards told her it was her destiny to meet Sonic on Little Planet. She's claimed to be able to "sense" peoples' presences - particularly Sonic's. She's the type to believe that The Power of Love is a literal magical force. So, on some level, it makes sense to mirror Tails's science by having Sonic's other best friend believe in magic. And then Sonic is somewhere in the middle, primarily following his own gut instincts but taking advice from both of them as needed. This isn't totally accurate to how their dynamics actually function in canon stories, but I think it's a mode that could work for them.

Going off of that, it's fun to lean all the way into Amy being a magical girl, or even a witch, using her fortune telling as a foundation. Take, for example, this version of Amy from Diana Skelly's old Sonic cast redesigns from before she freelanced for Archie and IDW. This is one of MANY such redesigns for Amy.

Fast forward to the 2020s, and Amy's tarot cards are, in fact, finally getting brought up again in canon. Which is fun! I like seeing that. I like all of the individual stories involving Amy's fortune cards. This is a fun character trait for Amy, a fun nod to old lore, AND a fun storytelling device, all in one. It's really cool that the Sonic universe has its own thematically appropriate arcana, and that the cards are getting made as physical merch. And sure enough, the official card backs and borders were designed by none other than Diana Skelly, in yet another cool example of an ascendant fan leaving their mark on the series.

BUT... when you step back and look at the big picture, I get why some fans find this shift in focus jarring. At the moment, it's starting to feel like every new story about Amy involves her fortune cards to some degree.

The most recent mainline comic arc to feature Amy as the lead character, 2021's Trial by Fire arc, prominently features a sequence where she reads fortunes while camping with the girls. The Origins version of Sonic CD now bookends the game with scenes of Amy and her tarot cards. Sonic randomly mentioned it in a scene in Frontiers. And now, just this week, we got the (very cute, gorgeously illustrated) Amy's 30th Anniversary comic with a story revolving around Amy's tarot cards, followed the very next day by the Frontiers DLC in which she gets a brand new tarot-based moveset. Even her base melee attack now has her throwing tarot cards instead of swinging her hammer. Again, I like all of these individual things, but after years of it almost never coming up at all, it's VERY noticeable that Amy's tarot cards are suddenly everywhere.

To be fair, I'm looking at this from the perspective of a superfan who's actively following ALL Sonic media. Casual fans - especially kids - aren't necessarily going to be reading the comics every month, buying the thousandth rerelease of the Genesis games, or playing the ultra-hard new alternate ending DLC for a game that came out last year. Each of these stories is going to be someone's introduction to the idea that Amy can read tarot, and that's probably part of the idea behind this unified push.

But to play devil's advocate, for my fellow superfans, I understand why it feels like a very minor footnote of Amy's character is suddenly becoming the entire focus of her personality. While Amy has always been said to enjoy fortune telling, that wasn't really a character trait in and of itself, but rather an example of her being a typical girl who hopes she'll be able to find true love one day. It's less that Amy can literally predict the future and more like her using a cootie catcher or going "he loves me, he loves me not" while picking the petals off of a flower. So I get not vibing with this stuff, or feeling like it's being pushed very hard out of nowhere.

What I don't agree with are comparisons like "it's like if they made Knuckles' moveset revolve around him liking grapes." Like, I get it. Ian Flynn loves shoehorning in his little winking references for us nerds, and mentions of Amy's tarot cards were previously on the same level as other random bullet points from old Japanese manuals. But a multifaceted hobby like fortune telling that opens up so many narrative and aesthetic possibilities is obviously very different from having a favorite food. It's ALWAYS been a part of her story, not just a random fact, and there's no reason why the fortune telling can't be elevated to something more.

And, hell, even if it wasn't an established character trait, there's nothing inherently wrong with injecting new ideas into a character. One of the best Amy stories in recent years, the Free Comic Book Day special "Amy's New Hobby" written by Gale Galligan, came up with the idea that Amy's secretly been drawing little comics about her and her friends. Is this based on Lore? No. But it's cute, and helps tell the story of a younger Amy who's still coming out of her shell as both a hero and a friend.

Certain fans are also looking at Amy's Frontiers moveset and using it as evidence that once again the Vile American Contributors like Ian are CORRUPTING Sonic Team's perfect vision of Sonic with their misinterpretations. And like. Come on. Ian does not control the gameplay. He's a freelance writer. The tarot stuff is clearly something that Sonic Team likes if they made it the basis of Amy's new moveset - and, you know, if they keep approving comics and animations about Amy's fortune telling. None of this gets made without their blessing, and lord knows how much they can micromanage shit and shoot down ideas over the most minor of details.

Like, yeah, Amy's fortune telling was probably conceived less as a sign that she Knows Magic and more as a pretty mundane hobby for a lovesick young Japanese girl to have. But you're gonna sit there and tell me that using Amy's tarot cards for more than that could only be the result of a cultural misunderstanding? That nobody in Japan uses tarot card theming and aesthetics (or the general idea of magical cards) for the cool factor? Stardust Crusaders? Persona? The Astrologian class in FFXIV? Cardcaptor Sakura?? Hello??? Do you think Capcom put Gambit in Marvel vs. Capcom ironically because they thought using magic to throw cards at people was stupid? There's tons of precedent for this! It's nothing like Knuckles throwing grapes at people, be for real.

Giving Amy a very magical girl-esque moveset also just makes a lot of sense. For decades her hammer attacks have literally made sparkly heart shapes appear around her. Leaning into both that and her tarot cards in her new moveset makes a lot of sense to me.

But, admittedly... I do think it's very odd that her hammer is treated as a secondary element here, rather than having her primarily use her hammer and adding the cards for extra flair. If hitting the attack button made her swing her hammer instead of throwing cards, I'm not sure we'd even be having this discussion right now.

But the tarot-cycle and Amy riding her hammer like a witch's broom are fucking SICK and I will not concede on this point

The thing is, this whole fortune card discourse is but a small piece of a bigger problem. Amy's been a character who needed some work for ages, but there's basically nothing you can do with her without pissing SOMEONE off.

Years of stories where Amy's crush was her primary motivator and Sonic went "Ew, cooties!" have lead many casual fans to believe that being Sonic's obsessive fangirl is Amy's entire personality. At best people might call her Sonic's Minnie Mouse. This isn't just a matter of Amy having haters within the fandom - venture outside of that bubble and you'll realize that this is how MOST video game playing people seem to see her to this day. I don't feel like this is a fair assessment of the character, but this idea didn't come from nowhere. No matter how much good deeply entrenched Sonic fans may see in their old dynamic where Amy perpetually chases Sonic, this is a very real problem that Sonic Team has to contend with for their leading girl. Of course all those games where the way-past-cool protagonist thought Amy was annoyingly clingy and tried to get away from her made people think less of her.

If new stories were to go back to emphasizing Amy's crush on Sonic a little more, they'd probably be taken as confirmation that Amy's just the girl with a crush on Sonic and that this is her entire personality. Conversely, when the crush is played down, you piss off the hardcore SonAmy fans who don't seem to understand that they're Charlie Brown and Sega is Lucy holding the football. You can't win.

And so here we are. In the absence of what was once her defining trait, now reduced to an occasional blush or wink in Sonic's direction, new stories are trying to mine Amy's past for additional material to work with. Having been a thing fans wanted to see for years, right now we're getting a lot of tarot, but we're also getting reminders of her compassionate nature and her desire to go out of her way to help the little guy. This is an ongoing process. I continue to hope that her bubbly, exuberant demeanor can shine more in future stories. Now, I also hope that the tarot stuff gets balanced out a little better with other traits of hers. But I don't want it to go away. I think it's fun.

This course correcting is far from exclusive to Amy. Knuckles is getting stories that remind us that he's a competent fighter, an experienced treasure hunter, and even a self-taught archaeologist after years of him being perceived as either the dumb one or just the guy who stands in front of the Master Emerald all day. And Tails has been getting some stories reminding folks that he's a capable hero in his own right and not just Sonic's timid kid sidekick.

But no supporting character will ever compete with the sheer number of new ideas Sega has tried with Sonic himself. Like Amy, his Frontiers moveset has also given him half a dozen new superpowers that he never had before, from the Cyloop to air-slicing projectile attacks to his own take on Shadow Clone Jutsu and beyond. He's also been a hoverboarder, a swordsman, a time traveler, an Olympic athlete, a racecar driver, cursed with a Flame of Judgment, imbued with alien power, a fucking Werehog with stretchy powers, and on and on and on.

If Sonic can do all that, Amy can try out using a tarot-cycle.

Anyway TL;DR the REAL problem with Amy's current characterization... is where the FUCK is Amy's bestie, Honey the Cat???????

[catsushinyakajima]

Voltron characters as algebraic expressions/distributions:

PIDGE: the binomial distribution

Binomial distributions display probabilities for a set number of binary trials (only two choices) within an experiment. I feel like this represents her because of her experimental nature as well as the two choices she was faced with in s1: saving the universe or leaving to save matt and her dad.

LANCE: sine function

IT'S ALL ABOUT THE WAVES!! Bro is smooth and bro swings both ways. Also, a sine wave is a periodic function, meaning it repeats the same pattern again and again. This can represent how while Lance is moving forward, he feels like is isn't growing or isn't more, but is rather stuck, bouncing between highs and lows.

KEITH: cosecant function

cosecant functions are the reciprocals of sin function (csc=1/sin), so this shows how Keith "reflects" or mirrors Lance. Additionally, the periods of csc functions start at positive or negative infinity and then stray towards the origin, but never quite reach it. This represents how Keith is so far away, and how everytime he comes back he leaves again, and how "home" always feels out of reach for him (csc function approaches horizontal asymptote but never truly gets there)

ALLURA: exponential function

The exponential function starts at an infintessimally small value that is nearly zero, and then rises drastically. The "flatter" values of the graph represent her comatose, and the sudden increase of values reflect her increased power, fight, and drive. It continues to increase forever, which I think can represent her death in canon. She transcends a barrier that the others cannot reach.

CORAN: uniform distribution

MY BOY Coran is the most unwavering support ever. The key aspect of a uniform distribution is that it is always the same value wherever it exists. It doesn't change or shift, just like how Coran has always, ALWAYS been able to constantly be there for the team and the universe.

HUNK: step function

While canon does him dirty, Hunk rises in both confidence and skill throughout the show. He's very methodic and is also a backbone to the team, which is why I gave him a function that's broken so evenly and is still rising. He is the type of character who climbs up. Also, I first used step functions in an engineering class!

SHIRO: hyperbolic function

OMG YALL ALR KNOW!! Not all hyperbolic functions map this way fyi, but THESE particular ones are sooooo Shiro. There is two parts of the graph, one positive and one negative. They never touch but they mirror each other identically and they're mapped by the same function. This represents Kuron and Shiro. They're both made from the same DNA, appear identical, but they have different minds and goals (the same way both parts of this function approach different values as x approaches infinity!)

[is-the-fire-real]

When I was last on tumblr, it was ten years ago and one of the biggest faux pas you could commit was incorrect tagging.

It was Literally Colonialism to use a tag that was For Certain Oppressed Groups. The actually-autistic tag was created because allistics "took over" the autism tag, and this/other tags became heavily policed by users to make sure they remained a "safe space".

I remember seeing countless posts about how autistics would never be safe if we didn't have a bubble to protect us from interacting with allistics. The same went for tags about transliness and queerness. The going approach used militarized and hyperbolic language to characterize and other folks who weren't in the community: autistics (the group I had the most direct experience with) were attacked by allistic invaders who violated and conquered autistic tagging systems.

The "Literally Colonialism" isn't a joke. I saw plenty of suggestions that to even use a tag which was perceived as being "not yours" was colonization of ideas and thoughts. To be allistic, have an opinion on autism, and tag it as "autism" was held up as being exactly the same as the behavior of empires and nation-states.

Obviously, I don't entirely agree, and don't think this particular hyperbolization is helpful for advocacy or for dialogue. But I do find it interesting how, in the decade since I was last here, it seems to (mostly) still be true that you should only use certain tags if you have a particular identity...

... unless you're not Jewish, in which case feel free to use any and all Judaism-related tags and break the system's meager functionality for Jewish people.

As someone who is using Tumblr to connect to online Judaism, it's daunting to see how many posts under "judaism" are by non-Jews screeching about Israel. Seeing non-Jews openly talk about they tag their posts with gore, rape denial, Holocaust denial, October 7 denial, and other deliberately-triggering material with Jewish-themed tags specifically to make Jewish users of Tumblr feel unsafe. Reading them telling each other about how this is advocacy, this will absolutely win the war for Gazans, and how anybody who blocks them (in order to make sure the tags can actually work as intended) is a genocidal coward. Using that self-same militaristic language to describe their activities, only instead of criticizing, they're bragging.

It's, uh, kind of fucked up.

Imagine going to the actually-autistic tag and finding nothing but a wall of allistics claiming that they've victoriously conquered the tag from those inhuman monsters pretending to have problems when other Real People are the ones who are suffering. I think we would all intuitively understand that this would be Wrong. Even if there was some supposed outward justification for being mad at certain autistics, we would understand that holding all autistics everywhere responsible for it is wrong. That breaking a community's ability to talk to each other is wrong. That trying to trigger people and then telling them to commit suicide is wrong.

And we'd also understand, or come to, that the very action of going "This community I'm not part of doesn't deserve to have this tag, I'mma take it back, or at least ruin it so no one else can have it" is an expression of privilege. It is wrong, and it is immature, and it is cowardice.

These smug, self-involved, active attempts at causing harm make no sense at all if seen as advocacy; they help no one, advance no cause, stop no Zionists (whatever that means) from expressing themselves online.

They only make sense when seen as Jew-hate.