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But the halls were neither large enough to hold drills in properly nor adapted for military purposes Many petitions had been made for an armory, but not until 18 was a petitiou. 0, otherwise In our coinflipping context, when consecutively flipping the coin exactly n times, p(k) denotes the probability that exactly k of the n flips land heads (and hence exactly n−k land. Every t2Fsatis es tp n= t if t6= 0 then tp 1 = 1 since F = Ff 0gis a multiplicative group of order pn 1, and then multiplying through by tgives us tpn = t, which is also true when t= 0 The polynomial xpn xhas every element of F as a root, so F is a splitting eld of xpn xover the eld F p Theorem 22 For every prime power pn, a eld of order.
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