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Jun 21, 2012 at 11:12 answer added user1688 timeline score: 1
Jun 21, 2012 at 11:00 comment added user1688 The square root of the sum is not a norm. You need the square root of the sum of squares of norms. Next if $F'$ contains a basis of $F$, it is equal to $F$.
Jun 21, 2012 at 10:11 history asked yeshengkui CC BY-SA 3.0