Basic Rules for Measurment Errors
| operation | uncertainty (error) analysis |
|---|---|
| sum | (A ± ΔA) + (B ± ΔB) = (A + B) ± (ΔA + ΔB) |
| difference | (A ± ΔA) - (B ± ΔB) = (A - B) ± (ΔA + ΔB) |
| product | (A ± ΔA) * (B ± ΔB) = (A * B) ± (ΔA/A + ΔB/B)*100% |
| quotient | (A ± ΔA) / (B ± ΔB) = (A / B) ± (ΔA/A + ΔB/B)*100% |
| nth power | (A ± ΔA)n = An ± n(ΔA/A)*100% |
| nth root | (A ± ΔA)1/n = A1/n ± 1/n(ΔA/A)*100% |