Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv:

Joined September 2015

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  1. Pinned Tweet
    28 Sep 2018

    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 more

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  2. 21 hours ago

    Jupiter is so massive that it causes enough tidal heating on Io (one of its moons, with similar mass and size as Earth's Moon) to make it the most geologically active body in the Solar System

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  3. Jan 3

    The Moon illusion is an optical illusion in which the Moon appears larger near the horizon than it does higher up in the sky. It has been known since ancient times - Aristotle, da Vinci, Gauss and many others wrote about it. The full explanation of this illusion is still debated

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  4. Jan 2

    The common swift (as well as some other birds and some aquatic animals) is capable of unihemispheric slow-wave sleep: one half of the brain is asleep while the other half remains alert (including an open eye). This makes long, non-stop migrations possible.

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  5. Jan 1

    Here's an easy to remember approximation for the number of seconds in 1 year. Happy 2019!

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  6. 31 Dec 2018

    Here's a special countdown for 2019. Happy New Year!

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  7. 30 Dec 2018

    Niels Bohr won the Nobel Prize in 1922 for his work on the structure of atoms. He described the atom as a small positively charged nucleus surrounded by waves of electrons. Here is a beautiful drawing of the structure of Bohr's Radium atom in 1922 Source:

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  8. 29 Dec 2018

    Horace-Bénédict de Saussure was a Swiss physicist and naturalist considered to be the founder of alpinism. In the 18th century he created the Cyanometer a device with 53 grades of blue that he used to accurately measure the blueness of the sky every time he climbed a mountain.

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  9. 28 Dec 2018

    “The Origin of Chemical Elements" paper, one of the most cited in astrophysics, was written by Ralph Alpher and George Gamow. Gamow liked the idea of having an author list that sounded like the first 3 Greek letters - alpha beta gamma. So he made Hans Bethe a co-author as a joke

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  10. 27 Dec 2018

    1084 is the smallest number whose English name contains all five vowels in order - one thousAnd and EIghty-fOUr

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  11. 26 Dec 2018

    Fermat announced a proof to his Christmas Theorem 🎄 on a letter to Mersenne dated 25 Dec 1640. Here's a one sentence proof by D. Zagier:

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  12. 25 Dec 2018

    Newton was 376 years ago on Christmas Day according to the Julian calendar, in use in England at the time. When the Gregorian calendar was finally adopted his recognized birthday was updated to January 4.

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  13. 24 Dec 2018
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  14. 24 Dec 2018

    Infrared radiation was discovered by William Herschel in 1800. He used a prism to refract sunlight and held a thermometer just beyond the red end of the spectrum. This thermometer - meant to be a control to measure the room temperature - recorded the highest temperature of all

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  15. 23 Dec 2018

    These beautiful geometrical shapes are the skeletons of Radiolaria. Radiolaria are protozoa that are found as zooplankton throughout the ocean and their skeletal remains make up a large part of the cover of the ocean floor.

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  16. 22 Dec 2018

    Would you install an app on your laptop/phone and keep it for 1 year to help find the next biggest prime number (no noticeable performance drop because of it)?

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  17. 22 Dec 2018

    2⁸²⁵⁸⁹⁹³³-1 is the largest known prime number and was discovered yesterday. It's substantially easier to find primes of the form 2ᵖ-1, also called Mersenne Primes. Here's why:

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  18. 21 Dec 2018

    Gamma ray bursts can release in a few secs as much energy as the sun will in its lifetime. If a GRB goes off <10k light years from us it could cause a mass extinction event. Also, GRBs travel at the speed of light so we might only learn about it when it reaches us

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  19. 20 Dec 2018

    The longest straw you can drink from is approximately 10.3 m (33.8 ft) long

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  20. 19 Dec 2018

    There is a sequence of digits that is not prime in any base Proof: 121 is an example. In base-b, 121 = 1b²+2b+1 = (b+1)(b+1), thus not prime!

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  21. 18 Dec 2018

    Highest points on Earth 1 - Mount Everest🇳🇵: Highest altitude above sea level 2 - Mauna Kea 🇺🇸: Highest altitude from base to summit 3 - Mount Chimborazo 🇪🇨: Highest distance from Earth's center

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