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    Re: Lunars using Bennett
    From: Alexandre Eremenko
    Date: 2008 Apr 4, 10:00 -0400

    
    Dear Peter,
    
    > Firstly; these are not 'errors',
    > which implies inaccuracy, but rather
    > a limitation in precision.
    
    "Error" is a standard term in statistics. For example,
    "rounding error". Unlike in real life, in statistics this
    word has no negative flavor:-)
    
    > will NOT tend to accumulate,
    > but will tend to cancel each other out,
    
    They will do both things: cancel but still
    accumulate. More precisely, suppose
    that one application of some table introduces
    a random error x. Then n applications of this table
    can be expected to introduce an error of x times sqrt(n).
    So, if in some calculation, you use a table where
    precise numbers are rounded to 1', and you have to
    enter this table 4 times, then each entry has expected
    error 0'5, while the whole calculation 0'5 sqrt(4)=1'.
    If you have to use the table 9 times then the expected
    error of the whole will be 1'5 and so on.
    
    Alex.
    
    
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