# fair-coin tossing

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# 918 Actions

 1d accepted A trouble with the discrete product topology 1d comment A trouble with the discrete product topology Ok, it is clear. 1d comment A trouble with the discrete product topology So the sets of type $A$ (in the quotation) form a different basis from the standard basis of the product topology. 1d comment A trouble with the discrete product topology So do sets of type $A$ form a basis for the product topology? 1d comment A trouble with the discrete product topology for example $A=\{(a_n)\,:\, a_0=1,\, a_1=5,\, a_2=3\}$ 1d asked A trouble with the discrete product topology 1d accepted Unclear inequality in the proof of Birkhoff ergodic theorem. 2d accepted Intersection of countable many sets of measure $1$ 2d comment Intersection of countable many sets of measure $1$ Ok the measure of the complement is $\mu\left(\bigcup X\setminus A_n\right)=0$ 2d asked Intersection of countable many sets of measure $1$ Jul18 accepted Projective roots of a homogeneous polynomial Jul18 comment Projective roots of a homogeneous polynomial Yeah many thanks. I'm sorry for the stupid question. Jul18 comment Projective roots of a homogeneous polynomial Oh yeah it is clear. Jul18 comment Projective roots of a homogeneous polynomial @ZhenLin Lin $Y$ divides $F(X,Y)$ and...? Jul18 comment Projective roots of a homogeneous polynomial Ok, but I don't understand why. Consider $F(X,Y)=F_0(Y)X^n+F_1(Y)X^{n-1}+\ldots+F_n(Y)$; I have at most $n$ solution of the type $(1:y)$ plus possibly $(0:1)$. Where is the mistake? Jul18 revised Projective roots of a homogeneous polynomial edited body Jul18 asked Projective roots of a homogeneous polynomial Jul17 comment Unclear inequality in the proof of Birkhoff ergodic theorem. @Bebop, yes you are right. Many thanks Jul16 revised Unclear inequality in the proof of Birkhoff ergodic theorem. added 22 characters in body Jul16 asked Unclear inequality in the proof of Birkhoff ergodic theorem.