TF ErrorAna PropOfErr
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A quantity which is calculated using quantities with known uncertainties will have an uncertainty based upon the uncertainty of the quantities used in the calculation.
To determine the uncertainty in a quantity which is a function of other quantities, you can consider the dependence of these quantities in terms of a tayler expansion
Consider a calculation of a Table's Area
The mean that the Area (A) is a function of the Length (L) and the Width (W) of the table.
The Taylor series expansion of a function f(x) about the point a is given as
For small values of x (x << 1) we can expand the function about 0 such that
The talylor expansion of a function with two variable is given by
or