Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We annotate and share a paper every week. Save, annotate and share papers with anyone: https://t.co/0o2Pls3jmo

已收录 20 条帖子

  1. #1

    The Tragedy of the Commons - why would rational people destroy the one thing they all depend on? Garrett Hardin’s 1968 answer: on a shared pasture, each extra cow pays its owner i…

    The Tragedy of the Commons - why would rational people destroy the one thing th…
  2. #2

    Happy Birthday Carl Sagan 🎂 When asked about the the purpose of sending messages out into the universe when it might take thousands of years to get any sort of answer Carl Sagan s…

    Happy Birthday Carl Sagan 🎂 When asked about the the purpose of sending message…
  3. #3

    Marie Curie (1867) and Lise Meitner (1878) were born 11 years apart on the same day: November 7. Curie won 2 Nobel Prizes. Meitner was nominated 48 times: 29 in physics, 19 in che…

    Marie Curie (1867) and Lise Meitner (1878) were born 11 years apart on the same…
  4. #4

    Discovery of explicit solution formulas for Polynomial equation: • j=2 Pythagoras (500 BC) • j=3 Girolamo Cardano (1545) • j=4 Lodovico Ferrari (1540) • j≥5 No general formula exi…

    Discovery of explicit solution formulas for Polynomial equation: • j=2 Pythagor…
  5. #5

    James Clerk Maxwell died exactly 147 years ago today, aged 48 of the same abdominal cancer that had killed his mother at the same age, when he was 8 years old. That same year Albe…

    James Clerk Maxwell died exactly 147 years ago today, aged 48 of the same abdom…
  6. #6

    The first measurement showing light has a finite speed. In this paper from 1676 Ole Rømer proved that light doesn't travel instantly using Jupiter's moon Io as a clock in the sky.…

  7. #7

    As of today Voyager 1 is one light-day from Earth - 25.9 billion km (16.1 billion miles) away. A radio signal now takes 24 hours to reach it. In ~50 years, it has traveled about 1…

    As of today Voyager 1 is one light-day from Earth - 25.9 billion km (16.1 billi…
  8. #8

    On this day in 1992, the Vatican admitted that Galileo was correct in believing that the earth went around the sun. This was after 13 years of inquiry by the Pope's commission of…

    On this day in 1992, the Vatican admitted that Galileo was correct in believing…
  9. #9

    Willebrord Snell died 400 years ago today, aged 46. He had derived the law of refraction in 1621 but never published it. Descartes printed it in 1637, and in France the law still…

    Willebrord Snell died 400 years ago today, aged 46. He had derived the law of r…
  10. #10

    1 + 1/2 + 1/3 + 1/4 + ... grows forever, but slowly. To pass 100 you need about 1.5 × 10⁴³ terms. If you’d added one term every second since the Big Bang, you’d be at about 41.

    1 + 1/2 + 1/3 + 1/4 + ... grows forever, but slowly. To pass 100 you need about…
  11. #11

    John Wallis died 323 years ago today. He devised this beautiful formula for π in 1655.

    John Wallis died 323 years ago today. He devised this beautiful formula for π i…
  12. #12

    In this week’s annotated paper: researchers measured plastic in human brain tissue from autopsies. The median brain in 2024 contained ~4.9 mg of plastic per gram of tissue, roughl…

    In this week’s annotated paper: researchers measured plastic in human brain tis…
  13. #13

    √2 is the length of the diagonal of the unit square and φ is the length of the diagonal of the regular pentagon with side 1

    √2 is the length of the diagonal of the unit square and φ is the length of the…
  14. #14

    Today is a mathematical date we won't see again for 78 years. 10/24/26 10² + 24² = 26² It's called a Pythagorean Triple Day. There are infinitely many Pythagorean triples, but onl…

    Today is a mathematical date we won't see again for 78 years. 10/24/26 10² + 24…
  15. #15

    Powers of 3

  16. #16

    The first RFC was written in 1969 by Steve Crocker, a 25 y/o grad student. He worked all night on it, writing in the bathroom so as to not wake up his roommates RFC1 described the…

    The first RFC was written in 1969 by Steve Crocker, a 25 y/o grad student. He w…
  17. #17

    Chandrasekhar was born 116 years ago today 🎉 At 19, on the boat from India to Cambridge in 1930, he worked out that a white dwarf above ~1.4 solar masses could not remain stable.…

    Chandrasekhar was born 116 years ago today 🎉 At 19, on the boat from India to C…
  18. #18

    In 1808, Christian Kramp introduced the "!" as the factorial symbol saying that it was far more convenient to the printer

    In 1808, Christian Kramp introduced the "!" as the factorial symbol saying that…
  19. #19

    We launched Margins A free online repository where you can 📝 Save and annotate your papers 🗣 Share papers and collaborate with anyone 💻 Annotate using LaTeX, Code, Markdown and mo…