SOLUTION: what is the meaning of F(x1,x2,...,xn)? Please explain clearly with suitable example.

Question 20277: what is the meaning of F(x1,x2,...,xn)?
Please explain clearly with suitable example.
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
What is the meaning of F(x1,x2,...,xn)?
Please explain clearly with suitable example.

What class you are studying ? You have to explain , there are no
universal notations in some advanced math.
In general, F means a field x1,x2,..,xn means variables (not algebraic over F).
F[x1,x2,...,xn] means the polynomial ring over F in the variables
x1,x2,...,xn. (ie. poly. of variables x1,..,xn with coefficients in F)
While F(x1,x2,...,xn) is the smallest field containing F[x1,x2,...,xn]
(or called quotient field of F[x1,x2,...,xn]), which consists of
all rational functions in x1,..,xn with coefficients in F.
This question should belong to abstract algebra and you asked
it in the wrong forum. I am the only person knowing what you talked
about.
Kenny
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