The Nerd Boy Who Hates Getting Bullied To Nerd Girl Who Loves Getting Bullied Pipeline Is So Fucking

the nerd boy who hates getting bullied to nerd girl who loves getting bullied pipeline is so fucking real

I keep hearing this; is there somewhere I should look for a proof?

Thank you for adding to my infinity post, and for doing it kindly! My mutual asked me for a fun fact about infinity, so I do the same to you!

One of my favourite things involving infinity is the construction of some interesting topological spaces!

You can construct the Long Line using the first uncountable cardinal, which is an example of a sequentially compact space that isn't compact!

Sometimes it's also possible to make "infinite dimensional" versions of some common topological spaces! This can be done if there is an inductive way of defining those spaces. For example, we can construct Sⁿ by gluing two copies of Dⁿ to Sⁿ along their boundaries. For S² this is exactly the construction of taking the equator (S¹) and gluing each hemisphere to the equator. Because this is inductive, we can define S^∞ to be the space we get at "the end" of the process. The formal way of doing this is with a categorical limit!

One fun fact about S^∞ is that it is contractible, that is we can deform it into a point (formally, S^∞ is homotopy equivalent to the one point space). But none of the finite spheres are!

reblog if you're aspec and FUCKING VALID!!!!!!!!!!!!!!!

“Dogs don’t know what they look like. Dogs don’t even know what size they are. No doubt it’s our fault, for breeding them into such weird shapes and sizes. My brother’s dachshund, standing tall at eight inches, would attack a Great Dane in the full conviction that she could tear it apart. When a little dog is assaulting its ankles the big dog often stands there looking confused — “Should I eat it? Will it eat me? I am bigger than it, aren’t I?” But then the Great Dane will come and try to sit in your lap and mash you flat, under the impression that it is a Peke-a-poo… Cats know exactly where they begin and end. When they walk slowly out the door that you are holding open for them, and pause, leaving their tail just an inch or two inside the door, they know it. They know you have to keep holding the door open. That is why their tail is there. It is a cat’s way of maintaining a relationship. Housecats know that they are small, and that it matters. When a cat meets a threatening dog and can’t make either a horizontal or a vertical escape, it’ll suddenly triple its size, inflating itself into a sort of weird fur blowfish, and it may work, because the dog gets confused again — “I thought that was a cat. Aren’t I bigger than cats? Will it eat me?” … A lot of us humans are like dogs: we really don’t know what size we are, how we’re shaped, what we look like. The most extreme example of this ignorance must be the people who design the seats on airplanes. At the other extreme, the people who have the most accurate, vivid sense of their own appearance may be dancers. What dancers look like is, after all, what they do.”

— Ursula Le Guin, in The Wave in the Mind (via fortooate)

A film class I took in high school, late night text conversations on concrete steps, and Hurricane Katrina

???

Bound, Blazing Saddles, Just Charlie

“How was your day?”

“The most up-to-date place to see my pronouns is on my tumblr. The usual username.”

the best part is the easy access to humor. The worst part is the time sink

Emotional intimacy. I have a hard time believing that I can be anything other than an imposition.

not since I was a child and dreamed of an orange that could change how big you are

I broke my arm on my 9th birthday because I couldn’t wait in line.

yeah, but my emotions are confusing to everyone else

emotional proximity. I don’t care if we’re worlds apart, I want to know how your day has been, how you’re feeling, and I want to share the same with you

A universal statement is only false if a counterexample exists. Meaningless things can still be true, and if something only exists in your head, nobody can talk you you’re wrong.

chilling on tumble waiting for a friend to text back

romance

couch-surfing on my partner’s couch out of high school

I’d like to be understood. I don’t want to change who I am, but I’d like the world to shift so that I’m not misunderstood when I enjoy the natural presentation of my emotions

friendship, math, dancing

nope

sleeping at the end of a long one

waking up at the end of a long one

not anymore

we don’t talk as much as we should, sometimes I turn around when I’m missing them and trying to sleep, and they forged a lot of my quirks

they are the only person who’s ever given my a shirt unprompted, that shirt went in the garbage without me ever wearing it, and if I did ever put it on, I think I would be a very different person

i know several facts about the number 6

winter. I love the cold

blue. I couldn’t say why

the only one still active is “Nah”, which requires some elaboration

do the phone numbers of queer people I meet count?

sing

social dancing

messy

31

social dancing, math, spending time with strangers

moving furniture

yes, until I’m given reason not to

I have an online hobby that none of my irls knows about. But that’s pretty much my only wall

The summer camp I worked at in 2021 falsified health and safety records pertaining to the operating temperature of a broken (ie. unable to heat water) mechanical dishwasher

butch 4 butch by Rio Romeo

Tanfaradd. They’re funny

the overconsumption of fresh bread

questions I think would be fun to be asked

what are 3 things you’d say shaped you into who you are?

show us a picture of your handwriting?

3 films you could watch for the rest of your life and not get bored of?

what’s an inside joke you have with your family or friends?

what made you start your blog?

what’s the best and worst part of being online/a creator?

what scares you the most and why?

any reacquiring dreams?

tell a story about your childhood

would you say you’re an emotional person?

what do you consider to be romance?

what’s some good advice you want to share?

what are you doing right now?

what’s something you’ve always wanted to do but maybe been to scared to do?

what do you think of when you hear the word “home”?

if you could change one thing about yourself, what would it be?

name 3 things that make you happy

do you believe in ghosts and/or aliens?

favourite thing about the day?

favourite things about the night?

are you a spiritual person?

say 3 things about someone you love

say 3 things about someone you hate

what’s one thing you’re proud of yourself for?

fave season and why?

fave colour and why?

any nicknames?

do you collect anything?

what do you do when you’re sad?

what’s one thing that never fails to make you happy/happier?

are you messy or organised?

how many tabs do you have open right now?

any hobbies?

any pet peeves?

do you trust easily?

are you an open book or do you have walls up?

share a secret

fave song at the moment?

youtuber you’ve been obsessed with and why?

any bad habits?

(this post was stolen from @teenage-mutant-ninja-freak, since it couldn't be reblogged anymore)

Approaching the R^infinity question from a vector space PoV, the unit sphere in l_2 with the standard inner product structure is not compact; just surround each “standard basis vector” (ie (1,0,0,…), (0,1,0,0,…) etc. ) with an open ball of radius sqrt(2) / 2. Since the l_2 norm is nice, none of those open balls contains more than one of the “standard basis vactors,” so that is an open cover of an infinite sphere with no finite subcover.

Of course, l_2 is a complete metric space, so if the l_2 topology can be reconciled with R^infinity in a natural way (I dunno about that part, but I wouldn’t be shocked) the R^infinity sphere in *that* topology has a non-compact closed subset, and is thus not compact. (The open cover with no finite subcover being that one we found for the l_2 sphere together with the (necessarily open) complement of the l_2 sphere.

Thank you for adding to my infinity post, and for doing it kindly! My mutual asked me for a fun fact about infinity, so I do the same to you!

One of my favourite things involving infinity is the construction of some interesting topological spaces!

You can construct the Long Line using the first uncountable cardinal, which is an example of a sequentially compact space that isn't compact!

Sometimes it's also possible to make "infinite dimensional" versions of some common topological spaces! This can be done if there is an inductive way of defining those spaces. For example, we can construct Sⁿ by gluing two copies of Dⁿ to Sⁿ along their boundaries. For S² this is exactly the construction of taking the equator (S¹) and gluing each hemisphere to the equator. Because this is inductive, we can define S^∞ to be the space we get at "the end" of the process. The formal way of doing this is with a categorical limit!

One fun fact about S^∞ is that it is contractible, that is we can deform it into a point (formally, S^∞ is homotopy equivalent to the one point space). But none of the finite spheres are!