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We establish that, in the sense of the Law of Large Numbers, almost none of the sequences of 0’s and 1’s are assigned the same value by every Banach limit

international journal of mathematics and mathematical sciences

Almost none of the sequences of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$0$"><mml:mn>0</mml:mn></mml:math>'s and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$1$"><mml:mn>1</mml:mn></mml:math>'s are almost convergent

Almost none of the sequences of0's and1's are almost convergent