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Guide to Uncertainty Propagation and Error Analysis

Guide to Uncertainty Propagation and ErrorAnalysisStony Brook Introductory Physics Organization of This Guide ..21 Random vs. Systemic Error .. Quantifying Error : Absolute vs. Relative Error .. Comparing Quantities with Uncertainties ..52 Random Basic Uncertainties .. Uncertainty Propagation Formulas .. Where do those formulas come from? .. Uncertainty Propagation Examples .. Example .. Example .. Example .. 153 Systemic Isolating Systemic Errors .. Determining the Effects of Systemic Errors .. 164 Other Things that are NOT errors.

Once you have an uncertainty, you can use it to compare quantities. In this class, we will use two methods to do so. The rst method is used if only one quantity has uncertainty. This is typical if one is comparing a calculated quantity from lab to a \theoretical value."4 In this case, one simply sees whether the quantity without uncertainty ...

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