Hi, I am trying to non-dimensionalize some data I have obtained. There are no 'standard' dimensionless groups for my application, so I would like to obtain the 'best' non-dimensional groups based on some statistical measures of the resulting transformed data.
At this point, I am looking for a way to generate dimensionless groupings from a set of base units. I would like to have a way to output all dimensionless groups that comprise no more than some specified number of fundamental (or base) units. For instance, if I have data like the following: dat1(length), dat2(time), dat3(length), dat4(length/time), dat5(length^2) and I want dimensionless groups with no more than four base units, I would like a result like the following: dat1/dat3, dat1/(dat2*dat4), dat5/(dat1*dat3), dat5/(dat2*dat4*dat1), ... I plan to code this in Python, and would appreciate any thoughts you might have about algorithms or approaches to carry out this task. Thank you. -g -- http://mail.python.org/mailman/listinfo/python-list