Alternative form of Reynold's number

1. The problem statement, all variables and given/known data
in the third picture , we know that π2 can be written as function of π1 , where π2 is inverse of reynold number , how if i want to change it to π1 = function of π2 , can i write it as (Reynold number ) = F / ρ (D^2)(v^2) ???

p/s : π1 is actually inverse of reynold number

2. Relevant equations


3. The attempt at a solution
IMO , for π1 = function of π2 , it is also (Reynold number ) = f (F / ρ (D^2)(v^2) ) ... we should write it as reynold number instead of inverse of reynold number , am i right ?

 

I think the author means stand for function.......

 

do u have any idea now ?

 

anyone know the answer?

 

can i write it as (Reynold number ) = F / ρ (D^2)(v^2) ???

or , it should be 1/ reynold number = F / ρ (D^2)(v^2) ???
which one is correct ?

 

is it wrong to write it as (Reynold number ) = F / ρ (D^2)(v^2) ???
is there a need to change 1/ Re to Re for π1 in this case
P/s : π1 = function of ( π2 , π3 )

 

So, no matter pi 1 is Reynold number = ( pi 2 , pi3) or pi 1 is 1/ reynold number d= ( pi2, pi3) are correct??