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  1.  
    Posted By: Andrew Palfreyman146/6149 = (2x73) / (11x13x43) in prime factors.
    Now we see that it's a Moletrap Number of period p-1 = 42.
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      CommentAuthoralsetalokin
    • CommentTimeApr 2nd 2020 edited
     
    74/4823 = 0.015343147418619116732324279494090814845531826663902135600248807795977607298362015343147418619116732...

    a 78-digit repeater
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      CommentAuthorDuracell
    • CommentTimeApr 2nd 2020
     
    Posted By: alsetalokin74/4823 = 0.015343147418619116732324279494090814845531826663902135600248807795977607298362015343147418619116732...

    a 78-digit repeater
    A new type of Texas repeater? More a case of leaver action than lever-action this time round ...
  2.  
    Strange - I expected a factor of 79 (a prime). In fact its prime factors are
    (2x37) / (7x13x53)
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      CommentAuthorAngus
    • CommentTimeApr 2nd 2020
     
  3.  
    Posted By: Andrew Palfreyman
    Posted By: alsetalokinI suppose there exists some kind of proof that pi, for instance, does not repeat even after a bazillion digits deep into the decimal expansion.
    Oh FFS.
    That is precisely the content of my previous post which you chose to ignore.

    Well, almost. I am assuming that a repeat is always due to a rational number, so that any irrational number contains no "sustained" repeats (as per your example). Obviously there are always repeats of any length in an infinite sequence of digits, but they are sporadic and governed by statistics and nothing deeper.


    Knickers def in a twist here. I had already moved on to this
    https://www.youtube.com/watch?v=Lk_QF_hcM8A
    (Pi is IRRATIONAL: animation of a gorgeous proof)
    and had somehow assumed everyone else had also.

    An apology is in order.

    However, be warned; this is likely to happen with increasing frequency as the ravages of age continue to attack the synapses!
    •  
      CommentAuthorAngus
    • CommentTimeApr 3rd 2020
     
    Posted By: Andrew PalfreymanHowever, be warned; this is likely to happen with increasing frequency as the ravages of age continue to attack the synapses!


    And wind up yelling at those kids to get off your lawn? Surely there's a better fate.
  4.  
    The
    - SVD (singular value decomposition)
    - PCA (principal components analysis)
    - KLT (Karhunen-Lo'eve transform)

    all appear to be the same thing. So why the different names?

    ETA oops forgot
    - OJD (Oja decomposition)
  5.  
  6.  
    •  
      CommentAuthoroak
    • CommentTimeMay 17th 2020
     
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      CommentAuthorAngus
    • CommentTimeMay 17th 2020
     
    Encouraging and dismaying at the same time. How many brilliant minds never get exposed to the things they could be brilliant in? How many plodders fill up the opportunities they could have?
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      CommentAuthorpcstru
    • CommentTimeMay 17th 2020
     
    Posted By: AngusEncouraging and dismaying at the same time. How many brilliant minds never get exposed to the things they could be brilliant in?

    Err, all of them. People can of course be brilliant at more than one thing.

    How many plodders fill up the opportunities they could have?

    Let's go for all of them again. After all it is unlikely that people match to the ideal opportunity for them to absolutely maximise their brilliance and seems equally unlikely that whatever opportunity someone is filling - no matter how brilliant they will relatively be a plodder compared to the maximally brilliant individual who 'best' matches based on that 'bestness'. So everyone is a plodder filling up opportunities that could be 'better' done by someone else.
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      CommentAuthorAngus
    • CommentTimeMay 17th 2020
     
    Congratulations! You have expressed the Universal Truth of which Peters' Principle is just a special case. We can call it the PCSTRU Process.
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      CommentAuthorgoatcheez
    • CommentTimeMay 23rd 2020
     
  7.  
    Today I found that

    Pi^2 / 24 = SUM(n=1->inf)[ (3n-1) (n-1) / (n(2n-1))^2 ]

    There appears to be a rich landscape of convergent infinite series like this which relate to Pi^2. As one might suspect, primes are heavily implicated.

    Primes and Pi, eh? Who knew?
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      CommentAuthorAngus
    • CommentTimeMay 27th 2020
     
    Is this series a Palfreyman discovery?

    I'm not seeing the primes. What am I missing?
  8.  
    Posted By: AngusIs this series a Palfreyman discovery?
    Yes; albeit fairly trivial, I haven't found it elsewhere.
    Posted By: AngusI'm not seeing the primes. What am I missing?
    That's just the beginning. You'll have to be content with 2 and 3 so far :)
    I'll return to this in due course. There seems to be a kind of implicit algebra in these infinite convergent sums.
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      CommentAuthorgoatcheez
    • CommentTimeMay 30th 2020
     
    Maths vs C19

    A Bristol academic has achieved a milestone in statistical/mathematical physics by solving a 100-year-old physics problem—the discrete diffusion equation in finite space.

    The long-sought-after solution could be used to accurately predict encounter and transmission probability between individuals in a closed environment, without the need for time-consuming computer simulations.
    https://phys.org/news/2020-05-solution-century-old-math-problem-transmission.html
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