Uncertainty in Measurement for Biochemists: Differential Calculus for calculating Sensitivity Coefficients
نویسنده
چکیده
Page 2 1. Overview Page 10 2. Background Page 12 3. The differential calculus, sensitivity to errors and uncertainty Page 20 4. The notion of ‘differentials’ and ratio of differentials Page 27 5. The notion of a function Page 34 6. The exponential function Page 39 7. The natural logarithm Page 41 8. The derivative of the natural logarithm Page 41 9. The derivatives of some simple functions Page 51 10. Derivative of one function of x multiplied by another function of x Page 53 11. Derivative of a ratio: one function of x divided by another function of x Page 56 12. Derivatives of the trigonometric functions Page 62 13. Derivatives of the hyperbolic functions Page 63 14. From errors to uncertainties and bias, using the derivative and differentials Page 65 15. Functions of more than one variable, and partial differentiation Page 72 16. Propagation of uncertainties from inputs to output
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