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Math and stuff.


12h
comment Show that the measure is Lebesque
No, then its ok.
12h
comment Tonelli-Fubini Theorem for two copies of $\mathbb{N}$ with counting measure
Then it's about interchanging sum and integral.
1d
comment Show that the measure is Lebesque
Ok, but you are implicitly assuming $b-a=m/n$, $m,n\in\mathbb{N}$.
1d
comment Show that the measure is Lebesque
It's not written down correctly, but you are on the right track. Be careful with $\cdots$.
1d
comment Tonelli-Fubini Theorem for two copies of $\mathbb{N}$ with counting measure
It says that you can interchange the sum signs in $\sum_n \sum_m a_{n,m}$ if $a_{n,m}\ge 0$ or $\sum_{n,m} |a_{n,m}|<\infty$.
1d
reviewed Close how to evaluate $ \lim_{x\to 0} \frac{\ln (x)}{1-x} $?
1d
comment Show that the measure is Lebesque
I think I said enough. Translation invariance, additivity, .. play around. You will see. If you really can't solve it, look it up somewhere, this is a standard problem.
Oct
18
awarded  Enlightened
Oct
18
awarded  Nice Answer
Oct
18
reviewed Close What does a day in the life of a mathematician look like?
Oct
17
reviewed Leave Open Simplify: $\sin \frac{2\pi}{n} +\sin \frac{4\pi}{n} +\ldots +\sin \frac{2\pi(n-1)}{n}$.
Oct
17
reviewed Leave Open How can we explain the discrepancy between $\rightarrow$ (IF-THEN) and $\setminus$ (A-BUT-NOT-B)?
Oct
17
reviewed Close Why do we need an open set to define differentiability?
Oct
17
reviewed Leave Closed How to prove that the integration contour of one integral is the subset of the other integral?
Oct
17
revised Functions in $L^p(\mathbb{R}^n)$, are tempered distributions.
added 1 character in body
Oct
17
reviewed Leave Open Stochastic integral a Martingale?
Oct
17
reviewed Leave Open Suggestion for Math Movies
Oct
17
reviewed Close If $g(x) = \text{arctanh}\ (\log x)$, find $g'(x)$.
Oct
17
reviewed Leave Open How to solve for $x$ when $a>0$: $log_{a+x}x \le log_ax^2 $
Oct
17
reviewed Leave Open How to evaluate this line integral