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๐Ÿงต How to approach finding non-dimensional terms for a model?

Anonymous No. 16304923

Engineer pleb here, I've done a range of experiments for now with 3 variables (will be expanding by introducing another 2 soon). But my main question is how should I approach looking to see if there are any terms which are actually related by a ratio between them instead of the absolute value? Say with my data I just produced y=f(X1,X2,X3), is there any methodology beyond brute force to work out if I actually has y=f(X1/X2,X3/X1) etc? Any resources such as videos or books on the topic as a whole would be appreciated