Calculating uncertainty of a function in Mathematica

[Shukie]

I have a function of which I'm trying to determine the uncertainty. I'm using Mathematica and I can't get it to work. However, I don't see what I'm doing wrong. My uncertainty has the same value as the function itself, only a factor 10^7 higher. That is of course completely wrong, but I don't see where I'm going wrong. Could anyone please take a look?

http://home.orange.nl/~kuip3148/Differentieermethode.nb

 

[Dale]

Hi Shukie,

This is probably a little late, but your formula for the propagation of errors is wrong. Each term should be of the form SDx²(df/dx)² where SDx is the standard deviation of x. You calculate the (df/dx)² part of each term but never use the SDx² part. Also, you forgot to square the one for R.

 

[oswaler]

I understand the importance of accurately calculating uncertainties in scientific calculations. In this case, it seems like the issue may lie in the method used to calculate the uncertainty in Mathematica. It is important to ensure that the method being used is appropriate for the function being analyzed.

I would suggest checking the documentation for Mathematica to see if there are any specific instructions or examples for calculating uncertainties for the type of function you are working with. Additionally, it may be helpful to seek assistance from Mathematica experts or forums to troubleshoot the issue and find a solution.

It is also important to carefully check the input and parameters used in the function to ensure accuracy. Small errors in input values can result in significant differences in the calculated uncertainty.

In conclusion, I recommend double-checking the method and parameters used in the Mathematica function and seeking assistance from experts to accurately calculate the uncertainty. With careful attention to detail and the appropriate techniques, the uncertainty can be determined accurately and confidently.