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Introductory Physics Homework Help
How is the error in the gradient calculated?
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[QUOTE="haruspex, post: 4949225, member: 334404"] I really dislike questions like this. The distribution of the errors in the inputs is not stated. It seems that those who pose these questions expect you to interpret the given errors as some (unspecified but fixed) number of standard deviations in normal distributions. In practice, errors induced by reading instruments are closer to uniform distributions. That being the case, the error in Y/X will be a different distribution, and it is not clear what an answer of the form ±ε would mean. Putting that aside, the formula you quote is for fractional errors. That is, if the actual error in X[SUB]i[/SUB] is ε[SUB]i[/SUB] then the fractional error is ε[SUB]i[/SUB]/X[SUB]i[/SUB]. Of course, this is only an approximation, and only works when ε[SUB]i[/SUB] is small compared with X[SUB]i[/SUB]. [/QUOTE]
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Introductory Physics Homework Help
How is the error in the gradient calculated?
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