Let's say you have a field $E$ and a subfield $F$ of $E$. Consider now the field extension $F(S)$ where $S = \{s_1, s_2, ..., s_n\}$.
How do elements of $F(S)$ look like, as in what is their most general form?
Let's say you have a field $E$ and a subfield $F$ of $E$. Consider now the field extension $F(S)$ where $S = \{s_1, s_2, ..., s_n\}$.
How do elements of $F(S)$ look like, as in what is their most general form?
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