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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
http://fermatslibrary.com/margins pic.twitter.com/eN9E4j49eMThanks. Twitter will use this info to make your timeline better. UndoUndo -
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 Systempic.twitter.com/3JOPq7xORZ
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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 debatedpic.twitter.com/eEr6u4qkqc
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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.pic.twitter.com/zmZAnPem8k
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Here's an easy to remember approximation for the number of seconds in 1 year. Happy 2019!pic.twitter.com/jpxStyJY4y
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Here's a special countdown for 2019. Happy New Year!pic.twitter.com/hYvBU6eIId
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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: https://archive.org/details/atombohrtheoryof00kramuoft …pic.twitter.com/Sr1vCmPCzp
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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.pic.twitter.com/U0MMcT0lRJ
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“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 jokepic.twitter.com/LDd9rG01v8
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1084 is the smallest number whose English name contains all five vowels in order - one thousAnd and EIghty-fOUrpic.twitter.com/GhZTarnA60
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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: https://fermatslibrary.com/s/a-one-sentence-proof-of-fermats-theorem-on-sums-of-two-squares#email-newsletter …pic.twitter.com/FZEHYmlxUE
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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.pic.twitter.com/CzM7Ga0rJr
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We've been giving out primes this holiday season. Here are 2 for
@elonmusk
https://fermatslibrary.com/primes/spacex
https://fermatslibrary.com/primes/tesla pic.twitter.com/ewalNm8qaC
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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 allpic.twitter.com/3dXxPW3nCy
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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.pic.twitter.com/aD6O6PK9ZR
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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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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: https://fermatslibrary.com/s/a-really-trivial-proof-of-the-lucas-lehmer-test#email-newsletter …pic.twitter.com/VLGeIhqIiX
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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 uspic.twitter.com/dkOyLTT0Vy
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The longest straw you can drink from is approximately 10.3 m (33.8 ft) longpic.twitter.com/pw7cuFrGcX
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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!pic.twitter.com/f3djeRqroe
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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 centerpic.twitter.com/H8YXZL1PHL
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