Understanding wiki math image

Discussion in 'Highly Technical' started by Soulkeeper, Feb 12, 2013.

  1. Soulkeeper

    Soulkeeper Diamond Member

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    I asked somewhere else, but got no response.
    Maybe someone here can help me understand this image.

    [​IMG]

    When solving for a particular value of i
    where i == digit, am I correct in converting that image to this ?

    answer = 1/16^digit * (4/8*digit+1 - 2/8*digit+4 - 1/8*digit+5 - 1/8*digit+6)

    is a multiplication implied with number(number) in that image ?


    thanks
     
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  3. Vectronic

    Vectronic Senior member

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    Minor correction (should be):
    (1/(16^i)) * (4/(8*i+1) - 2/(8*i+4) - 1/(8*i+5) - 1/(8*i+6))

    Otherwise you would be doing (4/8) * (i+1)... which would be wrong.

    And yes, excluding the first those appear to be multiplications rather than exponents.
     
  4. Soulkeeper

    Soulkeeper Diamond Member

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    Thanks, but even with the extra parenthesis and correct order of precedence, i'm still getting a wrong result.

    ie: for i = 5

    answer = 9.5367431640625e-07 * (0.097561 - 0.045455 - 0.022222 - 0.021739)
    insanely small number.

    As this formula is supposed to calculate a digit (i) of pi, the 5th digit should be 9.
    Unless i'm understanding this wrong ?

    url to formula explanation
     
  5. serpretetsky

    serpretetsky Senior member

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  6. Soulkeeper

    Soulkeeper Diamond Member

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    base 16 ... that explains the confusions
     
  7. Vectronic

    Vectronic Senior member

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    Ahh yeah, the Wiki you were reading kind of separates the Hexidecimal part... I thought you were looking at this which says
     
  8. Soulkeeper

    Soulkeeper Diamond Member

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    thanks guys