document.write( "Question 20277: what is the meaning of F(x1,x2,...,xn)?
\n" ); document.write( "Please explain clearly with suitable example. \n" ); document.write( "
Algebra.Com's Answer #10735 by khwang(438)\"\" \"About 
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What is the meaning of F(x1,x2,...,xn)?
\n" ); document.write( "Please explain clearly with suitable example.\r
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\n" ); document.write( "\n" ); document.write( " What class you are studying ? You have to explain , there are no
\n" ); document.write( " universal notations in some advanced math.\r
\n" ); document.write( "\n" ); document.write( "In general, F means a field x1,x2,..,xn means variables (not algebraic over F).\r
\n" ); document.write( "\n" ); document.write( " F[x1,x2,...,xn] means the polynomial ring over F in the variables
\n" ); document.write( " x1,x2,...,xn. (ie. poly. of variables x1,..,xn with coefficients in F)\r
\n" ); document.write( "\n" ); document.write( " While F(x1,x2,...,xn) is the smallest field containing F[x1,x2,...,xn]
\n" ); document.write( " (or called quotient field of F[x1,x2,...,xn]), which consists of
\n" ); document.write( " all rational functions in x1,..,xn with coefficients in F.\r
\n" ); document.write( "\n" ); document.write( " This question should belong to abstract algebra and you asked
\n" ); document.write( " it in the wrong forum. I am the only person knowing what you talked
\n" ); document.write( " about.\r
\n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( "
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