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Math Help - How do I predict how a number will evolve based on its evolution in a short span?

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    Question How do I predict how a number will evolve based on its evolution in a short span?

    Greetings,

    First of all I am sorry if this has been posted before [I have tried searching] and/or if it seems like a beginner's question.
    Now on with the question: Let's say we have a number X, we monitor it for 10 time units, in these 10 time units, the number changes value [based on user input] 6 times like so:

    1. X + 1
    2. X + 1
    3. X + 1
    4. X - 1
    5. X + 1
    6. X + 1


    *The complete evolution would be something like*

    1. X + 1
    2. X + 1
    3. X + 0
    4. X + 0
    5. X + 1
    6. X + 0
    7. X - 1
    8. X + 1
    9. X + 1



    *It is also possible that X + 0 is in actuality X + 4 - 4 [think vote system]*

    The number thus becoming X + 5 in a 10 time unit interval.
    Based on this information, is it possible to predict how the number will evolve?
    I am really interested in the theory behind this so if you could further direct me to information sources it would be great!

    Thank you,
    Cosmin Parvulescu
    Last edited by CosminP; April 24th 2012 at 11:05 PM.
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