Better than a computer.

Discussion in 'The Cesspool' started by TheFrogger, Feb 14, 2019.

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  1. TheFrogger Valued Senior Member

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    Hi there.

    I'm currently working on a program that produces a formula that tells you each number in the sequence. For example, if someone wrote a book, the formula tells you each letter in the book.

    N:2468
    P:1234

    N is the number, p is the position.

    The formula for the above is 2p. But should the program be able to produce a formula for ANY sequence, it could be useful for remembering things such as phone-numbers.

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    The program was originally designed to predict the next number in a sequence: this could be useful for all sorts of things, from lottery results, to passports through an airport. However I have concluded that it is impossible to predict a number, until that number is presented.

    For example, an all encompassing formula may not be able to predict the next number in the following two sequences, from the first number.

    N:123456789
    N:164256756
    P:123456789

    However, while prediction may be futile, a formula may be drawn for a complete sequence, such as a book, or phone number.

    My question for theoretical mathematicians is the following: does ANY sequence always have a formula that follows it's position in the sequence?

    P:123456789
     
    Last edited: Feb 14, 2019
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  3. TheFrogger Valued Senior Member

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    Hi again.

    I've received some advice from a friend. It's along the lines of the following: there are only so many games of chess that may be played. Should we number each possible game, we may say which number was played (game six for example.)

    We may do the same for a limited number of positions (a phone number, for example.) I.e. for a three digit number, I may conclude the following:

    1:123
    2:132
    3:213
    4:231
    5:312
    6:321

    I may then successfully state which sequence may be applied. The problem with this method is that for longer positions, the number of the sequence being applied could be SO long, that the code is nob longer, "short-hand" for the sequence. The only solution I can see is for the code to be applied the the number's position in the sequence (p).
     
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  5. Michael 345 New year. PRESENT is 69 years old Valued Senior Member

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    Think you are way out of your league

    Take your chess example

    There Are More Games of Chess Possible Than Atoms In The Universe. ... Well, it's estimated that there are more possibleiterations of a game of chess than there are atoms in the known universe. In fact, the number of possible moves is so vast that no one has ever been able to calculate it exactly.Jun 16, 2016

    https://curiosity.com/topics/there-...ossible-than-atoms-in-the-universe-curiosity/

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  7. TheFrogger Valued Senior Member

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    ...there are more than that number of atoms in the universe.
     
  8. Michael 345 New year. PRESENT is 69 years old Valued Senior Member

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    Number of atoms in the known Universe

    In layman’s terms, that works out to between ten quadrillion vigintillion and one-hundred thousand quadrillion vigintillion atoms

    https://www.universetoday.com/36302/atoms-in-the-universe/

    But but but it seems

    There Are More Games of Chess Possible Than Atoms In The Universe. ... Well, it's estimated thatthere are more possible iterations of a game of chess than there are atoms in the known universe. In fact, the number of possible moves is so vast that no one has ever been able to calculate it exactly.Jun 16, 2016

    https://curiosity.com/topics/there-...ossible-than-atoms-in-the-universe-curiosity/

    My $10 calculator gave up

    So I am as well

    Coffee time

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  9. Write4U Valued Senior Member

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    Many games are named after the inventors of the game strategy.
    Game six was the Ruy Lopez Opening (not)..... a very popular opening which can lead to many variations.....

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  10. TheFrogger Valued Senior Member

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    ...is there anything the binary theory of mathematics CANNOT do...?
     
  11. Write4U Valued Senior Member

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    Good question. If binary function can solve all natural equations, that would be the model to beat, by Occams razor.
     
  12. exchemist Valued Senior Member

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    Needless to say, binary is not a function.
     
  13. sideshowbob Sorry, wrong number. Valued Senior Member

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    Can it make a decent cup of coffee?
     
  14. Write4U Valued Senior Member

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    https://en.wikipedia.org/wiki/Binary_function

    I thought there were only "values and functions"
    Zero (0) and One (1) are values, "binary processing is a function".....

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    Last edited: Feb 15, 2019
  15. Write4U Valued Senior Member

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    Sure, my coffee maker uses binary function to brew a delicious cup.....

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  16. James R Just this guy, you know? Staff Member

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    What is the binary of theory of mathematics? I've never heard of that.

    I have a binary theory of people. There are two types of people: those who like to divide people into two types and those who don't.
     
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  17. Michael 345 New year. PRESENT is 69 years old Valued Senior Member

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    Does binary function froth up like full cream milk?

    I might try it

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  18. Michael 345 New year. PRESENT is 69 years old Valued Senior Member

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    My binary theory of people says
    • Some like to keep people in a single group
    • Some like to divide people into two groups
    • Others like to make three or more groupings

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  19. Write4U Valued Senior Member

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  20. Write4U Valued Senior Member

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    Perhaps this alludes to "binary opposition".
    https://en.wikipedia.org/wiki/Binary_opposition
     
    Last edited: Feb 16, 2019
  21. TheFrogger Valued Senior Member

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    Actually I was referring to the truth theory that binary computing is based upon: the Boolean, "OR" operator.

    Something is either true, or false. This relates to 0 (false) or 1 (true). Given that the two positions are polar opposites, the statement is true (1). Given that binary reveals truth, computing may be based upon this.
     
  22. Write4U Valued Senior Member

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  23. iceaura Valued Senior Member

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    https://en.wikipedia.org/wiki/Computable_function
     
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