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Math Help - Writing formulas

  1. #1
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    Writing formulas

    I have a set of sequence numbers beginning from 11 to 26.
    n and m are variables.
    n min = 11
    n max = 19
    or n = 11, 1219
    Pattern;
    n will always going to add 7 elements to it
    m will always have 8 elements
    Example :
    If n = 11 then m = 19,2026
    If n = 12 then m = 11, 20,2126
    If n = 13 then m = 11,12,21,2226
    If n = 14 then m = 11,12,13,22,23..26
    If n = 15 then m= 11,12..14,23,24..26
    How do you write this into a formula..?
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  2. #2
    Senior Member MacstersUndead's Avatar
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    Quote Originally Posted by najios1 View Post
    I have a set of sequence numbers beginning from 11 to 26.
    n and m are variables.
    n min = 11
    n max = 19
    or n = 11, 12…19
    Pattern;
    n will always going to add 7 elements to it
    m will always have 8 elements
    Example :
    If n = 11 then m = 19,20……26
    If n = 12 then m = 11, 20,21…26
    If n = 13 then m = 11,12,21,22…26
    If n = 14 then m = 11,12,13,22,23..26
    If n = 15 then m= 11,12..14,23,24..26
    How do you write this into a formula..?
    my stab at it

    Let
     {n_i} = i for  11 \leq i \leq 26

    then  m = n_{11} ... n_{i-2}, n_{i-1} \cup {n_{i+8}, ... n_{26} }

    EDIT:// afterthought
    Let
     N = n_{i} .. n_{i+7}.<br />
    then
    <br />
m = n_{11}, n_{12} ... n_{26} / N<br />
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  3. #3
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    Hi MacstersUndead,

    Thank you for the formula.

    Can you explain further or elaborate on the 2nd equation (EDIT version afterthought) as I'm not getting it.

    Thanks again.
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  4. #4
    Senior Member MacstersUndead's Avatar
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    Quote Originally Posted by najios1 View Post
    Hi MacstersUndead,

    Thank you for the formula.

    Can you explain further or elaborate on the 2nd equation (EDIT version afterthought) as I'm not getting it.

    Thanks again.
    I'll be happy to elaborate.
    I should have decided to let O = 11, 12, 13, ... 26, for clarity. (11-26)
    m is then O ''minus'' N. (denoted by the slash in set theory)

    Consider the case n=14, then m = 11, 12, 13, 22 -26. but what is this, really? Well, m is a set containing all the numbers from 11 - 26 EXCEPT the numbers 14 - 21.

    what is 14 in this case? i
    what is 21 in this case? 14 + 7 = i + 7

    If you have any further questions, don't hesitate to ask.
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