nine reduction question

Discussion in 'Basic Math' started by lamaken, Mar 23, 2022.

  1. lamaken

    lamaken

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    Hello,
    My Name Is Àlex, from StcU
    I have been thinking a lot with the follow

    of number 9 casuística
    https://alkasoft.org/nine/

    I have build an small script to do the next operations:

    from a given number
    like 14
    we multiply 9 so 126
    "Here the trick: 126 is mulitple by 9 so we could remove the last number(6) so be knew the addition from the all the digits has to ber mutiple with 9"

    so the next is 12
    "we are decreasing"

    we multiply 9 so 108
    we remove 8 so is obius (1+0+?=9)
    .. and go ..

    10 * 9 = 90 < (0,3)
    9 * 9 = 81
    8 * 9 = 72
    7 * 9 = 63
    6 * 9 = 54
    5 * 9 = 45
    4 * 9 = 36
    3 * 9 = 27
    2 * 9 = 18
    1 * 9 = 9 < (9,12)

    only when the last digit is (0 or 9) we have to mark to know it.

    so the result is

    [0,3] [9,12]

    [9,12]: iteration 12 is 9
    [0/3]: iteration 3 is 0


    Decode output
    9 / 9 = 1
    18 / 9 = 2
    27 / 9 = 3
    36 / 9 = 4
    45 / 9 = 5
    54 / 9 = 6
    63 / 9 = 7
    72 / 9 = 8
    81 / 9 = 9 < (0)
    90 / 9 = 10
    108 / 9 = 12
    126 / 9 = 14
    14

    Only know whether this could be useful for anything.

    SOrry for inconviniences
     
    lamaken, Mar 23, 2022
    #1
  2. lamaken

    HallsofIvy

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    I don't understand your notation. In "90< (0, 3)" and "9< (9, 12)" what do "(0, 3)" and *(9, 12)" mean?
     
    HallsofIvy, Apr 1, 2022
    #2
  3. lamaken

    lamaken

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    Hello

    Sorry, the notation is a reference to me to keep the number 0 in the third(3) iteration
    or 9 on 12th

    we want to encode the following
    14

    Encode output
    14 * 9 = 126
    12 * 9 = 108
    10 * 9 = 90 < (0,3)
    // two possible results -> (0,9) we need to know which of them so we keep 0, and 3(#iteration)
    9 * 9 = 81
    8 * 9 = 72
    7 * 9 = 63
    6 * 9 = 54
    5 * 9 = 45
    4 * 9 = 36
    3 * 9 = 27
    2 * 9 = 18
    1 * 9 = 9 < (9,12)
     
    lamaken, Apr 6, 2022
    #3
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