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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: fermatslibrary.com/margins
Joined September 2015
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    We launched Margins A free online repository where you can ๐Ÿ“ Save and annotate your papers ๐Ÿ—ฃ Share papers and collaborate with anyone ๐Ÿ’ป Annotate using LaTeX, Code, Markdown and more fermatslibrary.com/margins
    GIF
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    Here's a useful counterintuitive fact: one 18 inch pizza has more 'pizza' than two 12 inch pizzas
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    Happy New Year! ๐ŸŽ‰ 2025 will be the only square year (45ยฒ) in many of our lifetimes.
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    MIT Entrance Examination for 1869-1870
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    Cancellation of Momentum: A ball is fired at 50 mph, out of a cannon from a truck that is going at 50 mph. The two momenta cancel each other and in the Earth reference frame the ball has 0 momentum.
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    A demonstration of the conservation of angular momentum using a Hoberman sphere. Angular momentum depends on the rotational velocity of an object, and on its rotational inertia. When an object changes its shape, its angular velocity will also change.
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    2ยนยณโถยฒโทโนโธโดยนโˆ’1, discovered today, is the largest known prime. It's a Mersenne prime (2แต–-1), which are easier to find. It took nearly 6 years for the GIMPS software to find it after the previous largest known prime. It was also the first Mersenne prime found using GPUs.
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    Start with 82 and go backwards to 1 8281807978777675747372717069686 7666564636261605958575655545352 5150494847464544434241403938373 6353433323130292827262524232221 2019181716151413121110987654321 ...this number is prime!
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    The time period of a pendulum with infinite length is 84.6 minutes.
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    Ramanujan said that he received his formulas from God
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    In linguistics, Escher sentences are sentences which initially seem acceptable but upon further reflection have no well-formed meaning.
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    List of people that have walked on the Moon: Neil Armstrong ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ Buzz Aldrin ๐Ÿ‡บ๐Ÿ‡ธ 91 yo Pete Conrad ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ Alan Bean ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ Alan Shepard ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ Edgar Mitchell ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ David Scott ๐Ÿ‡บ๐Ÿ‡ธ 89 yo James Irwin ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ John Young ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ Charles Duke ๐Ÿ‡บ๐Ÿ‡ธ 86 yo Eugene Cernan ๐Ÿ‡บ๐Ÿ‡ธ๐Ÿชฆ Harrison Schmitt ๐Ÿ‡บ๐Ÿ‡ธ 86 yo
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    Here's an interesting approximation for the number 8