Recipe/Theory/Degrees of freedom
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It is easy to draw to many conclusions out of the limited data. The degrees of freedom concept describes what can be done. This will be explored here.
The limit will be the number of nutrients available for a product. Usually there are 7 nutrients, but when there is no fiber there will be 6 nutrients.
Deterministic =
With 7 nutrients we could theoretically determine a recipe of 7 ingredients. This becomes a problem with 7 equations with 7 unknowns. If there are more ingredients, the problem will be unsolvable.
For products with less than 7 ingredients, the problem will be easier to solve, especially when some ingredients are zero.
No intercept constraint
Unfortunately a total free approach can give nonsense results. A total free approach does not assume anything.