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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 normallydistributed 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
 Carter
 mechanics

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