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The field extension of degree m at the top of the page turned into the extension of degree k at the bottom; I changed them all to k. |
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:<math>[ F_k : F ] = k \,</math>,
for ''k'' = 1, 2, ... . When ''F'' has ''q'' elements, ''F<sub>k</sub>'' has <math>q^k</math> elements. Given a set of polynomial equations — or an [[algebraic variety]] ''V'' — defined over ''F'', we can count the number
:<math>N_k \,</math>
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