A quick way to remember Boyce-Codd normal form, which is the typical end point (its a little past 3nF) is with this saying:

An attribute should be dependent on the key,

the whole key, and nothing but the key, so help me Codd.

As for all those defintions, they can get so complex, that they make no sense.

Chris Date stated that normalization is just the codification of common sense.

If your normalization references are twisting your mind - ditch them and get ones that make sense.