buffriday-with-the-bees reblogged
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buffriday-with-the-bees reblogged
Anonymous asked:
I think we should replace "theorem" with "hot take" from now on. Pythagoras' hot take. Fundamental hot take of algebra
Hello! Thanks for sharing your hot take. Your opinion is Wrong and I am going to tell you Why.
“Hot take” should be reserved for statements which are conjectured or hypothesized but not proven. Despite not being proven, a statement should have some evidence in its favor before being presented as a hot take.
On the other hand, once something is proven, it is tea. To prove something is to spill the tea. A proof is an effortpost. Proper format for spilling the tea is to write the statement of the tea, followed by “in this essay I will,” and then the effortpost, beginning with statement of assumptions. A proper effortpost ends with “thank you for coming to my TED talk,” or “TED” for short. Allow me to demonstrate.
Fermat’s Little Tea.
For p, a ∈ ℤ, if p is a prime which does not divide a, then a^(p-1) = 1 (mod p).
In this essay I will let p, a ∈ ℤ, such that p is a prime which does not divide a. Lagrange’s theorem indicates that ℤ/pℤ* is a cyclic group under multiplication. As such the order of any element of ℤ/pℤ* is the order of the group, p-1. Since p does not divide a, a is an element of ℤ/pℤ*, and as such, its order in the group is p-1. Therefore a^(p-1) = 1 (mod p). TED.
The Four Color Tea is notable for being the first major tea spilled by computer. The Four Color Tea, then the Four Color Hot Take, was first proposed by Francis Guthrie in 1852. The tea was notoriously difficult to spill, but over a century later, in 1976, Wolfgang Haken and Kenneth Appel presented an effortpost using a very advanced (for the time) computer at the University of Illinois.
The first person to spill the tea on the Riemann Hot Take with an effortpost accepted by experts will be the recipient of a million dollar prize.
this is a niche post
Tea: √2 is irrational.
Efforpost:
In this essay I will let r = √2 and spill by oh no that r ∉ ℚ
First, we need to spill a lemonade:
Lemonade 1: For all q ∈ ℚ, there exist relatively prime a,b ∈ ℤ such that q=a/b. Effortpost: By definition, q ∈ ℚ ⇒ ∃ x, y ∈ ℤ | q=x/y. If x and y are not relatively prime, then let z = gcd(x,y) be the greatest common divisor of the x and y, and let x’=x/z and y’=y/z. Then q = x/y = x'z / y'z = x’/y’. Since z was the greatest common divisor of x and y, x’ and y’ must be relatively prime, so we take a=x’ and b=y’. LED.
Like, what if r were rational? Then by lemonade 1, there exist relatively prime p, q ∈ ℤ such that r = p/q. Squaring both sides gives us 2 = p²/q² -> p² = 2q², so p² is even. However, this is only possible if p itself is even, in which case p² = 2q² is divisible by four. This further implies that q² is even, and so q must be as well. If p and q are both even, then they have a common factor of 2; but by definition they are relatively prime.
oh no.
Thus, r = √2 ∉ ℚ by oh no. TED.
Every generation coming up with new names for things might just save math. Before spilling my tea, let me lay out these three lemonades… it’s just more inviting.
The big thing in my area in grad school was the Baum Connes conjecture, and Paul would have loved having the Baum Connes Hot Take. Alain… probably depends on the french for hot take.
I think needed is a word for Theory. Like K Theory, Homotopy Theory…
Bullshit. It’s bullshit. K bullshit, graph bullshit, homotopy bullshit, Galois bullshit, number bullshit, category bullshit. It’s all bullshit.
buffriday-with-the-bees reblogged
“Before You Embark On A Journey Of Revenge, Dig Two Graves”. what a stupid fucking quote. I’m killing way more than two people idiot
karvinacorp
buffriday-with-the-bees reblogged
the letters of the Greek Alphabet, ranked according to a someone who uses them for math but doesn’t know Greek
feralpidgeon
This is the pride flag for Gays who can do math
buffriday-with-the-bees reblogged
Oh god this resonates so much. I don't know how to communicate the emotions I felt being one of like 3 women in a class while all 20-30 guys around me made rape jokes and laughed and told me to lighten up when I complained, or talked about "what type of Asian is your favourite" like we were breeds of dog or cuts of meat, or hear the guy beside me say "who cares?" when the prof announced that the first woman had just won the fields medal, or even just the blatant staring when I walked into class like I was some kind of foreign object.
[ID: A tweet by dyke to watch out for, @dyke3watchout5, which reads: "It's always "how do we get more women into math" and never "how do we get more misogynists out of math". /end ID]
I once spent a summer working on research project in a chemistry lab at Harvard, and you know the biggest thing that stood out to me? The building I was working in had exactly 1/3 as many bathrooms for women as for men. It had clearly been built with no bathrooms for women at all, and had only reluctantly converted some of the men's bathrooms to be for women after the fact. There was a seminar about "advancing women in STEM" on campus basically every week, and I fucking guarantee that not a single one of them did as much to advance women in STEM as my group's PI, who declared about two days into the program that all women in the building should "feel free to use the men's restrooms if they're closer or less occupied, and men who are uncomfortable about that should consider how their female colleagues feel just existing in a building like this one". Women aren't mysterious creatures who need to be lured into the sciences with treats and special programs; they're human beings, and the main things keeping them out of STEM fields are those fields utterly refusing to treat them as such.
buffriday-with-the-bees reblogged
buffriday-with-the-bees reblogged
Anonymous asked:
Good day, Mlle. Hedgehog! If it's no trouble, may I ask for science book recommendations around the tune of Merlin Sheldrake's "Entangled Life"? I've been trying to get back into the sciences after feeling shut off from it bc of my aversion to math, but sparse technical language shuts my brain off like nothing else. This seemed like the place to go. Thank you for your time, and a dozen kisses each to the animal denizens of your farm!
Hello! Kisses have been equitably distributed! And your message reminded me of the C.S. Lewis quote, "I could never have gone far in any science because on the path of every science the lion Mathematics lies in wait for you..."
I have not read Entangled Life, but if you are looking for books about plants / animals / the living world, that give you a new perspective and are instructive but use more conversational (or poetic) prose, here are the first ten titles that came to my mind :)
- What a Plant Knows: A Field Guide to the Senses, Daniel Chamovitz
- The Lives of a Cell: Notes of a Biology Watcher, Lewis Thomas
If we had better hearing, and could discern the descants of sea birds, the rhythmic tympani of schools of mollusks, or even the distant harmonics of midges hanging over meadows in the sun, the combined sound might lift us off our feet.
- Gathering Moss: A Natural and Cultural History of Mosses, Robin Wall Kimmerer
- The Intelligence of Flowers, Maurice Maeterlinck (it has one of my favourite Goodreads reviews ever: someone commented that “After reading this book, my body feels mulchier and more vegetal.”)
I shall never forget the magnificent example of heroism given to me the other day in Provence, in the wild gorges of the Loup, by a huge centenarian laurel tree. A bird or the wind had carried the seed to the flank of the rock, which was as perpendicular as an iron curtain, and the tree was born there, two hundred yards above the torrent, inaccessible and solitary, among the burning and barren stones. ... The young stem was obliged ... stubbornly to bend its disconcerted trunk in the form of an elbow ... revealing ... the successive solicitudes of a kind of thought. ... What human eye will ever assist at these silent dramas, which are all too long for our short lives?
- Beyond Words: What Animals Think and Feel, Carl Safina
- The Immense Journey, Loren Eiseley
Every spring in the wet meadows and ditches I hear a little shrilling chrorus which sounds for all the world like an endlessly reiterated “We’re here, we’re here, we’re here.” And so they are, as frogs, of course. Confident little fellows. I suspect that to some greater ear than ours, man’s optimistic pronouncements about his role and destiny may make a similar little ringing sound that travels a small way out into the night. It is only its nearness that is offensive. From the heights of a mountain, or a marsh at evening, it blends, not too badly, with all the other sleepy voices that, in croaks or chirrups, are saying the same thing.
- The Hidden Life of Trees, Peter Wohlleben
- The Forest Unseen: A Year’s Watch in Nature, David George Haskell
Wild animals enjoying one another and taking pleasure in their world is so immediate and so real, yet this reality is utterly absent from textbooks and academic papers about animals and ecology. There is a truth revealed here, absurd in its simplicity. [...] Nature is not a machine. These animals feel. They are alive; they are our cousins, with the shared experience kinship implies. And they appear to enjoy the sun, a phenomenon that occurs nowhere in the curriculum of modern biology.
- Dispatches from Planet 3, Marcia Bartusiak
- Boundary Layer: Exploring the Genius Between Worlds, Kem Luther <- haven’t read this one yet, but Robin Wall Kimmerer wrote a positive review and I enjoyed her book Gathering Moss, so I’ve added it to my pile!
If you’re interested at all in cosmology I also recommend Arthur Koestler’s The Sleepwalkers, it’s one of my favourite history of science books; essentially it tells the story of humankind’s evolving understanding of the nature of the universe. The chapter on Galileo’s trial particularly stayed with me.
And on a tangent, this is a book I liked about how maths deserves better and how disastrously it is taught: Paul Lockhart’s A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form.
I don’t see how it’s doing society any good to have its members walking around with vague memories of algebraic formulas and geometric diagrams, and clear memories of hating them. It might do some good, though, to show them something beautiful and give them an opportunity to enjoy being creative, flexible, open-minded thinkers . . . You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide . . . We’re killing people’s interest in circles for god’s sake! . . . Mathematics should be taught as art for art’s sake. These mundane “useful” aspects would follow naturally as a trivial by-product. Beethoven could easily write an advertising jingle, but his motivation for learning music was to create something beautiful. . . . Mathematics is the music of reason.
buffriday-with-the-bees reblogged
beeworm
There is explicit nonbinary representation on my math homework
beeworm
rb if you support them
Bin’s identity is valid BUT👏THEIR👏ANSWER👏IS👏NOT👏
buffriday-with-the-bees reblogged
A farmer sold three sheep.
The weight of the three sheep combined was 96 kilos.
The smallest sheep weighed 6 kilos less than the middle size sheep.
The largest sheep weighed three times the smallest sheep.
What is the weight of each sheep?
buffriday-with-the-bees reblogged
In an interview with the journal Science in 1979, Dr. Morawetz recalled that when her children were young — a time when few women pursued professional careers — people often asked whether she worried about them while she was at work.
Her reply: “No, I’m much more likely to worry about a theorem when I’m with my children.”
buffriday-with-the-bees reblogged
The problem with math puns is that calculus jokes are all derivative, trigonometry jokes are too graphic, algebra jokes are usually formulaic, and arithmetic jokes are pretty basic. But I guess the occasional statistics joke is an outlier.
via (via infiniterectangles)
:|
(via wyomingnot)
buffriday-with-the-bees reblogged
listen. i know jk rowling knows absolutely nothing about america but for the entire country to only have a single wizarding school there must be either 200 professors working at this place or you get to your first potions class and it’s held in a fucking baseball stadium.
hermioneofvulcan
SO A FRIEND AND I ACTUALLY JUST DID THE MATH ON THIS.
Between 1972-1979 there were 5,802,282 live births in the United Kingdom. These live births account for the roughly 600 Hogwarts students during Harry’s first year, and would make the birth rate of Wizards approximately 0.01% of the population.
The population of the United States in 2014 was 318.9 million - 23.1% of which were children 0-17. That would mean there were 73,665,900 children in 2014. Checking live births from a time period of 1997-2003 (which would account for children aged 11-17) gives us 27,978,287 children. If 0.01% of them were magical, we’re left with 27,978 school age magical children in the United States in 2014.
If we wanted school sizes similar to Hogwarts - 600 children to a school - we would need at minimum 47 magical schools. If we wanted it more comparable to our own schooling - with an average student body size of roughly 1,430 students combined between middle school and high school during the 2009-2010 school years - we’re down to a minimum of 20 magical schools.
So, long story short. It is statistically impossible for there to be a single magical school in the United States.
It’s far more likely there is at least one school in each state, possibly more than one in much larger states like Alaska, Texas, and California while a single school could feasibly serve the clustered smaller states like Rhode Island, Massachusetts, and Connecticut.
Thank you for doing the maths!
I read somewhere (not this, but similar) that the small size of Hogwarts might also be due to population attrition after the First Wizard War, which seems to have largely taken place in the UK (Correct me if I’m wrong).
If we take that theory as a give, it seems to me that 0.01% would be on the lower end of the spectrum, so that there would be at least 27,978 magical children in the United States, but possibly more, since we would not have seen the same population drop as they did in Europe.
(All of this caused me to go dig up the wikipedia chart of World War II casualties, which has a table showing total deaths as percentage of total population)
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How to get attention from an anime loving math nerd
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Mathematics (Source: http://ift.tt/1Q93req)
buffriday-with-the-bees reblogged
If conference speakers were being chosen by a system that treated gender fairly (which is to say, gender was never a factor at all), then in any conference with over 10 speakers, say, it would be extremely rare to have no female speakers at all—less than 5 percent chance, depending on one’s assumption about the percentage of women in mathematics as a whole.
Turning that statement around, we conclude that any such conference without any female speakers must have come into being in a system that does not treat gender fairly.
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