This tool helps you to determine the uncertainty (or error) of any mathematical expression that contains physical quantities with uncertainties. It follows the rules of the Gaussian error propagation: If f is a function of the independent variables X and Y, written as f(X,Y), then the uncertainty in f is obtained by taking the partial derivatives of f with respect to each variable, multiplication with the uncertainty in that variable, and addition of these individual terms in quadrature.
Use "." as decimal mark: 1.234, not 1,234.
with variables a, b, c
Exact error (calculated analytically):
Error calculated by this tool (numerically):
This tool is based on numerical methods. However, even for complicated formulas the deviation between numerical and analytical results is usually negligibly small.
Do not use the symbols "^" or "**" for "raised to the power of" and use the "pow(x,y)" function instead. The following math methods are available and can be used in the formula field:
|acos(x)||Returns the arccosine of x, in radians|
|asin(x)||Returns the arcsine of x, in radians|
|atan(x)||Returns the arctangent of x as a numeric value between -PI/2 and PI/2 radians|
|cos(x)||Returns the cosine of x (x is in radians)|
|exp(x)||Returns the value of Ex|
|log(x)||Returns the natural logarithm (base E) of x|
|pow(x,y)||Returns the value of x to the power of y|
|sin(x)||Returns the sine of x (x is in radians)|
|sqrt(x)||Returns the square root of x|
|tan(x)||Returns the tangent of an angle|