Premise:
"If there are many factors, we have a cam for each factor, shaped like the periodic rise and fall of that factor."
Hypothesis: Factors can be represented by the periodic rise and fall of a cam.

yes

Premise:
"But if, on the other hand, it was John, the whole thing was explained quite naturally.""
Hypothesis: If it was John who was the murderer, everything came together well.

it is not possible to tell

Premise:
"Most of the couture houses are concentrated on the Right Bank close by the rue du Faubourg-St-Honore (just le Faubourg to regular shoppers) and classier avenue Montaigne where designers Christian Lacroix, Chanel, Calvin Klein, Hermas, Christian Dior, Yves Saint Laurent, and Versace have shops."
Hypothesis: The Right Bank is also home to many retired French politicians.
it is not possible to tell