This is identical to the calculation above in the proof of the Theorem for additive form ( absolute error ).
12.
These errors can be absolute errors from limitations of the equipment or propagation errors from approximate numbers used in calculations.
13.
This allows them to provide absolute error bounds on a root's location when the function is known to be continuous.
14.
The absolute error should be consistent for values created in a consistent fashion, but may vary based on how the variable is constructed.
15.
The maximum absolute error for color temperatures ranging from 2856 K ( illuminant A ) to 6504 K ( D65 ) is under 2 K.
16.
The connection is that the mean is the single estimate of a distribution that minimizes expected squared error while the median minimizes expected absolute error.
17.
For squared errors, \ rho ( x ) increases at an accelerating rate, whilst for absolute errors, it increases at a constant rate.
18.
This property, undesirable in many applications, has led researchers to use alternatives such as the mean absolute error, or those based on the median.
19.
When ?, ? e " 1, the relative error ( the absolute error divided by the difference between the mean and the mode is similarly small:
20.
This transformation is commonly used to improve the rate of convergence of a slowly converging sequence; heuristically, it eliminates the largest part of the absolute error.
