"numbers Don't Lie" The Real Numbers Are Literally A Lie Group

today I learned that for a surface with boundary, which I believe we can say a straw is, the genus is equal to that of a 2-manifold obtained from attaching disks to the boundary. hence the straw has genus equal to that of a 2-sphere, which is 0, therefore a straw has 0 holes

also a straw is not homotopic to a torus I think, but rather to S¹, as it's a product of S¹ and a closed interval, which is contractible. a torus has the fundamental group S¹×S¹, thus they cannot be homotopy equivalent. buuut that requires the straw to be infinitely thin so maybe I'm too idealistic for this claim to hold and it is in fact equivalent to a torus

lmao I love math but I can't stop laughing at the fact that it took me two years of university to be able to have this discussion

I’m really into internet discourse but only pointless and stupid internet discourse like how many holes there are in a straw (it’s 2)

Okay I’m currently furious that migraines are often so blindly easy to treat and I had to find this out myself at the age of 26 when I’ve been to a neurologist since I was 11 lol so I’m about to teach you two neat and fast little tricks to deal with pain!

The first is the sternocleidomastoid muscle, or the SCM muscle.

This big red section is responsible for pain around the eye, cheekbone, and jaw, as well as some temple pain. Literally all you have to do is angle your head down a little, angle it away from the side that hurts, and then you can gently pinch and rub that muscle. I find it best to start at the bottom and travel upwards. The relief is so immediate! You can increase pressure as you feel comfortable doing so.

Here is a short and easy video showing this in action

The second is a fast and easy stretch that soothes your vagus nerve, which is the nerve responsible for calming you down. The vagus nerve, for those unfamiliar, is stimulated by deep breathing such as yawning, sighing, singing, or taking a deep breath to calm your anger in a tense situation.

You can stretch this out by sitting up as straight as possible (this does not have to be perfect to work) and interlacing your fingers. Put your hands on the back of your head with your thumbs going down the sides of your neck and, while keeping your face forward, look all the way to one side with just your eyes. Hold that until you feel the urge to breathe deeply or yawn, or until you can tell there’s a change. Then do the same thing on the other side. When you put your arms down, you should clearly be able to turn your head farther in both directions. If the first session doesn’t get rid of your migraine, rest and repeat as many times as necessary. I even get a little fancy with it and roll my eyes up and down along the outer edge sometimes to stretch as much as I can.

If you need a visual here’s a good video on it. I know some of the language they use seems questionable but this is real and simple science and should not be discarded because it’s been adopted by the trendy wellness crowd!

I seriously cannot believe I didn’t hear a word of this from any doctor in my life. Additionally, if you get frequent recurring migraines, you may want to see a dietician. Migraines can be caused by foods containing histamines, lectin, etc. and can also be caused by high blood pressure in specific situations such as exercise, stress, and even sex.

If any of this information helps you I’d love to hear it btw! It’s so so fast and easy to do. Good luck!

ok uh. how do you hypothetically say "i want to study you" in a friendly way

so far the best I've got is "can i join a discord derver that youre in so i can observe you in your natural habitat"

hey netizens! i'm not sure how many people are aware, but youtube's been slowly rolling out a new anti-adblock policy that can't be bypassed with the usual software like uBlock Origin and Pi-Hole out of the gate

BUT, if you're a uBlock Origin user (or use an adblocker with a similar cosmetics modifier), you can add these commands in the uBlock dashboard (under My Filters) to get rid of it!

youtube.com##+js(set, yt.config_.openPopupConfig.supportedPopups.adBlockMessageViewModel, false) youtube.com##+js(set, Object.prototype.adBlocksFound, 0) youtube.com##+js(set, ytplayer.config.args.raw_player_response.adPlacements, []) youtube.com##+js(set, Object.prototype.hasAllowedInstreamAd, true)

reblog to help keep the internet less annoying and to tell corporations that try shit like this to go fuck themselves <3

mathermatical notation explained

symbol        meaning

=                   equals

=/=                not equals

<                   left

>                   right

!                    LOUD NUMBER

~                   worm

π                  stonehenge

√                   right answer

x                   wrong answer

⋯                  soon…

∮                   what Exacrly the fuck

∝                   fish

∞                   fish with 2 heads

↯                    lightning

:⇔                 he Scream

If a homomorphism is a structure preserving map and an isomorphism is a bijective homorphism, does that mean an isosexual is a bijective homosexual?

Inflating regular pentagon through underlying stars. The sequence of side lengths is essentially Fibonacci.

→ 3 IX 2021

such a weird day today. i finished complete spaces and then moved on to preparing for the math conference i'm going to on sunday. there is a lot of high level stuff so i won't be able to learn everything, of course, but i'm doing my fav thing ever and enjoying it thoroughly. that is, switching from a topic to a topic in the spare of 15 minutes and reading a bit about anything until it stops being ✨super exciting✨

this amounts to a total of 8 hours of math and i am not done yet. love it, absolutely love to waste time like that

concentration: fucking ∞

tomorrow i'm doing an algebra speedrun with bf and two of our friends. this is an experiment aiming at seeing how much information we are able to pack into our heads in one sitting. we haven't studied abstract algebra before. then in a few as i mentioned i am going to a math conference, with bf and our other friend. excited about that too. i fucking love math

oh i just saw, congrats on the bachelors!! im still in calc 3, i thought itd be less mundane but it is actually killing now to the point where i cant even open our stewart text. all my friends in decent math programs are doing more fun and general versions this course. i just cant wait to not use this awful book anymore (all our work is based on the books problems and methodology). all this is to say your progress is inspiring. hopefully i get to a point where i can also be having fun around structures and such, i just have to finish grinding through the filter of "do a bunch of this and don't worry about what it really means, btw good luck problem solving on your exams with 0 neither provided intuition nor rigor". i hope blogs like this stick around!

thank you for the nice message!

I'm so sorry to hear that this is how they teach you math, something like this takes away all pleasure and satisfaction. I didn't have calc 3 as such at my university, we would generally focus on theory and understanding from the start. however, we did have some courses where the mindset was like you just described and it was torture. I hope it changes for you soon so that you can finally enjoy some beautiful math!