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visits member for 3 years, 7 months
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19h
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 $\;\; \langle \hspace{.02 in}x,y\rangle \: \mapsto \: y \;\;\;$. $\;\;\;\;\;\;\;$
Jun
16
revised How can I find the roots of a quartic equation, knowing one of its roots?
improved title's grammar
Jun
11
revised Arranging 10 people in a row
fixed spelling error
Jun
10
awarded  Taxonomist
Jun
7
comment Strong Notion of Integral
No; what I put in at that point in the comment should create just enough white-space to put 'differently' and 'depending' on different lines; I just wasn't sure whether that counted as "something written in between ...". $\:$ If you did that then for most measure spaces there would be no reason to consider any gauge other than $t\mapsto \{t\}$. $\;\;\;\;$
Jun
7
comment Strong Notion of Integral
Sort of; apparently the spacing I used renders differently on different computers. $\:$ Do you mean coming up with some notion of "gaugeable measure space", or somehow having the measure induce what's needed? $\;\;\;\;$
Jun
6
comment Strong Notion of Integral
No. $\:$ Any sensible integral that applies to arbitrary measure spaces either works differently $\hspace{.65 in}$ depending on whether or not there is a topology on the measure space, or fails to integrate $\hspace{.03 in}f$ and $g$. $\hspace{.51 in}$
Jun
6
revised Finding vector orthogonal to two vectors
fixed grammar
Jun
6
comment Gram-Schmidt process when metric is not an Euclidean
What definition of orthogonality are you using? $\;$
Jun
6
revised Verify if this inequality is true
fixed grammar and changed spacing
Jun
6
comment Strong Notion of Integral
$\hspace{.03 in}f$ is neither properly Lebesgue integrable nor properly Riemann integrable, but is both improperly Lebesgue integrable and improperly Riemann integrable. $\;$
Jun
6
comment Strong Notion of Integral
Yes, it is called the gauge integral. $\;$