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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    Fermat's Library‏ @fermatslibrary May 13
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    A good way to visualize factorial growth: 1) a cell divides in 2 2) each child cell will then divide in 3 3) each grandchild cell will divide in 4 . . . and and so onpic.twitter.com/fSUlSeTETZ

    6:13 AM - 13 May 2020
    • 517 Retweets
    • 2,868 Likes
    • أحمد 🧢 Jay Virdee Alex Lennine Vic Александр Бобцов Laura Georgiana Niculescu🦊 sigh đe ronimo
    25 replies 517 retweets 2,868 likes
      1. Roger Sauer‏ @rsauer3473 May 13
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        Replying to @fermatslibrary

        Interestingly this was the method Plato Eliasomou (1927-1996) used to grow cucumbers for his famed tzatziki dip near Vouliagmeni, Greece. Sadly, the crops grew too large for his little farm and neighbors complained to the local magistrate who enjoyed the dip and did nothing.

        0 replies 3 retweets 24 likes
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      2. The Dream Zone‏ @TheDreamZone May 13
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        Replying to @fermatslibrary

        Quantum Computer Programming...🤔🧐 Factorial Program Algorithm Analysis by @CsEverythinghttps://link.medium.com/pwS9AAE0i6 

        3 replies 0 retweets 5 likes
      3. The Dream Zone‏ @TheDreamZone May 13
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        Replying to @TheDreamZone @fermatslibrary @CsEverything

        How it Works: Quantum Computing @IBM @IBMthinkLeaderspic.twitter.com/vvclxyKJt6

        0 replies 2 retweets 12 likes
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      2. Susam Pal‏ @susam May 13
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        Replying to @fermatslibrary

        For large values of n, we can get a good estimate of n! using Stirling's approximation: n! ≈ √(2πn) × (n/e)ⁿ. For example, 99! ≈ 9.33 × 10¹⁵⁵, if we really compute the product of the first 99 positive integers. Using Stirling's approximation we get, 99! ≈ 9.32 × 10¹⁵⁵.

        1 reply 5 retweets 25 likes
      3. Isaac‏ @CultofTheIsaac May 13
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        Replying to @susam @fermatslibrary

        Wow, neat! I just tried this with 178!. Got any link to an easy to read proof?

        0 replies 0 retweets 0 likes
      4. End of conversation
      1. Kyle D Evans‏ @kyledevans May 13
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        Replying to @fermatslibrary

        Go on draw 4!

        0 replies 0 retweets 20 likes
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      1. Harshal S Chhaya‏ @hschhaya May 13
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        Replying to @fermatslibrary

        Here's another interesting way to visualize factorials. The four graphs below look very similar but look at the Y-axis. It goes from a max of 5040 for 7! to 3628800 for 10!pic.twitter.com/r59aEFW5T3

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      2. jame⁷ ⟬⟭‏ @cipria_NO May 13
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        Replying to @fermatslibrary

        But is it a good function to used for modelling population growth? 🤔

        2 replies 0 retweets 1 like
      3. Lengah‏ @Lengah3 May 13
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        Replying to @cipria_NO @fermatslibrary

        No, it's not. Usually population growth is better modelled by exponential growths with some limiting conditions (to represent things like environmental incapacity to sustain overpopulation)

        1 reply 0 retweets 16 likes
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      1. General Amanda von Aachen‏ @gb2quare May 13
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        Replying to @fermatslibrary

        Does that actually happen somewhere? If each cell divides in 2 that could be hard-coded. But factorials rely on their predecessors, ie a cell needs to know in how many cells their parent split

        0 replies 0 retweets 9 likes
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