‘Feature Engineering Techniques’ (week 2, Lecture 3).

Am a bit confused by the math notation.

For Normalization, the result is said by the lecturer to be between 0 and 1: (2min 35sec).

For Standardization (z-score), the result is said by the lecturer to be somewhere between 0 and the standard deviation (sigma): (4min 17sec).

So, why are they not the same notation (with one having 0,1 and the other 0, sigma) ?

Also, I’ve tried to find this use of the E-shaped sigma in math notation and as far as Google the search engine is showing me, it is typically to indicate membership of a set, so E-sigma{0,1} would be to indicate that is 0 or 1, not a range from 0 to 1, but also I’m not seeing the use of this with square brackets (as is in the video)… so, is Google search engine not finding this other use of sigma or is Google the company inventing its own new math notations ?

Is this funny N with round brackets (0, sigma) a standard math notation for indicating natural numbers within that range … if so, it’s wrong I think … the numbers would be real not natural… no ?