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Unformatted text preview: + ... + ( δc c ) 2 + ( δx x ) 2 + ( δy y ) 2 + ... + ( δz z ) 2 . 3. Measured quantity times exact number: If A is known exactly (e.g. A = 2 or A = π ) and Q = Ax then δQ = | A | δx or equivalently δQ | Q | = δx | x | 4. Uncertainty in a power: If n is an exact number and Q = x n then δQ | Q | = | n | δx | x | . 5. General formula for error propagation: If Q = Q ( x ) is any function of x , then δQ = | dq dx | δx. 1 These rules can all be derived from the Gaussian equation for normally-distributed errors, but you are not expected to be able to derive them, merely to be able to use them. 1...
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This note was uploaded on 09/02/2010 for the course PHYS MERR1 taught by Professor Carter during the Spring '10 term at UMass (Amherst).
- Spring '10