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 Apr 3 comment Independence of $n$ random variables sory, typo bigcup and bigcap Apr 3 revised Independence of $n$ random variables edited body Apr 3 asked Independence of $n$ random variables Mar 27 accepted Finitely generaterd torsion-free module over PID Mar 24 answered Finitely generaterd torsion-free module over PID Mar 24 comment Finitely generaterd torsion-free module over PID So how to find an $m'\in M$ such that $\{m'\}$ is a basis for $M$? Mar 24 asked Finitely generaterd torsion-free module over PID Mar 23 comment Quotient Modules of finite rank module Define $f: M \rightarrow M/T$ by $f(m)=2m+T$ if $m\in S$ and $f(m)=m+T$ if $m \in M \backslash S$, then we have $f$ is a homomorphism with $ker(f)=S$, so $M/S$ and $M/T$ are isomorphic. Mar 23 asked Quotient Modules of finite rank module Mar 18 comment Pearson Correlation Coefficient Interpretation @Sehmus: But the argument is based on graphic, not the mathematical argument? Mar 18 comment Pearson Correlation Coefficient Interpretation @ Seyhmus Güngören : WHat is the mathematical ecplaination about this phenomena? Mar 18 comment Pearson Correlation Coefficient Interpretation SO your argument using taylor(MacLaurin) expansion is not true in general right? Mar 18 comment Pearson Correlation Coefficient Interpretation I also try $X=(1, 1.1 ,1.2,...,5)$ and $Z=(z_i)$ with $z_i=e^{x_i}$ and we get $\rho(X,Z)=0.89$. How come? Mar 18 comment Pearson Correlation Coefficient Interpretation Could you give any reference about this material? Mar 18 comment Pearson Correlation Coefficient Interpretation In other word, correlation betwen X and Y tend to 1 but $y_i=x_i^2$ is not linear? How come? Mar 17 asked Pearson Correlation Coefficient Interpretation Mar 13 revised Construction of Lebesgue-Stieltjes measure on $\mathbb{R}^d$ $d=1,2$ edited body Mar 12 asked Construction of Lebesgue-Stieltjes measure on $\mathbb{R}^d$ $d=1,2$ Mar 8 revised Lebesgue-Stiletjes measure on $\mathbb{R}^2$ added 110 characters in body Mar 8 comment Lebesgue-Stiletjes measure on $\mathbb{R}^2$ I mean $p(\cup (a_i,b_i] \times (c_i,d_i]) = \sum p ((a_i,b_i] \times (c_i,d_i])$