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Aug
17
comment Some problems concerning regularity os measures.
That's a very weak "regularity" condition. $\;$
Aug
14
comment The meaning of correlation coefficient and p-value
stats.stackexchange.com $\;$
Aug
11
comment A consistent first-order theory whose impredicative second-order variant is inconsistent
$(\forall y)(\exists x)(x+x = y \: \lor \: S(x+x) = y) \;\;$ is a simple formula that is provably independent of Q. $\hspace{1.01 in}$
Aug
7
comment Countably infinite union
How about for $a$ and $b$? $\;$
Aug
1
comment If R is $(a,b)R(c,d) \iff a+d =b+c$ show that R is an equivalence relation.
More relevantly, one can apply the theorem if $X$ is the semigroup of positive integers. $\hspace{1.42 in}$
Aug
1
comment If R is $(a,b)R(c,d) \iff a+d =b+c$ show that R is an equivalence relation.
As mentioned by Did, using subtraction negates the point of this proof. $\;$
Aug
1
comment Two dice thrown, one comes up 6
No, we want $\: P(D\hspace{.05 in}|\hspace{.02 in}\text{ he saw a 6}) \;$. $\;\;\;\;$
Aug
1
comment Two dice thrown, one comes up 6
Among those 11, there is 1 corresponding to both 6's. $\:$ For the outcome (6,6), the die he saw would have probability one of showing a 6. $\:$ For the other 10, the die he saw would have probability half of showing a 6. $\:$ (1*1)/((1*1)+(10*(1/2)) = 1/(1+(10/2)) = 1/(1+5) = 1/6 . $\:$ Thus his answer is 1/6. $\;\;\;\;$
Jul
31
comment Outcome of rolling a fair die 6 times
The answer's numerator should be 5. $\;$
Jul
30
comment If an inequality is true for all natural numbers, is it necessarily true for all real numbers inbetween?
This answer is wrong, since $\;x - \lfloor x \rfloor\le 0 \;$ holds for $\; x = -1 \:\:$. $\;\;\;\;\;$
Jul
26
revised How exactly do I prove that I find the maximum of the function
corrected spelling errors
Jul
25
comment What is meant by “m|n”? Two letters separated by a vertical bar (|)
Note that by the relation's definition, $\: 0 \hspace{.03 in} | \hspace{.03 in} 0 \:$ is true. $\;\;\;$
Jul
9
revised Why do people lose in chess?
fixed grammar and changed spacing
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
28
revised Uniform Continuity $\implies$ Continuity
improved title's terminology
Jun
20
comment the point where all functional are non zero
en.wikipedia.org/wiki/Baire_category_theorem $\;$
Jun
20
comment Are there any cases where $\mathbb E(|X|)<\infty$ and $\mathbb E(X)<\infty$ aren't equivalent?
They are equivalent if and only if $\:$[$\operatorname{undefined} < \infty \;$ is false]$\:$. $\;\;\;\;$
Jun
18
comment Why do we consider measurable function when dealing with abstract integration?
"... but having regularity of the measure requires that some sets aren't measurable" or AC fails. $\hspace{.77 in}$
Jun
17
comment Alternatives to polar coordinates for mapping point onto one dimensional coordinate
Sure, you could use $\;\; \langle \hspace{.02 in}x,y\rangle \: \mapsto \: x \;\;$ or $\;\; \langle \hspace{.02 in}x,y\rangle \: \mapsto \: y \;\;\;$. $\;\;\;\;\;\;\;$