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Nov
25
revised If the absolute value of an analytic function $f$ is a constant, must $f$ be a constant?
Formatting
Nov
25
revised Generating valid x and y that result in perfect squares
added 8 characters in body
Nov
25
revised Convolution of an integrable function of compact support with a bump function.
added 2 characters in body
Nov
25
revised Show that a group is isomorphic to $\Bbb R$
typos
Nov
20
comment measure theory -Lebesgue measure problem 1
It is true for intervals. Use the definition of outer measure.
Nov
20
comment Lebesgue Integrable Function
well, $f=g$ implies $\int f=\int g$...
Nov
17
comment How to compute $\int a^t \mathrm{d}t$?
Try \log(a) instead of log(a).
Nov
17
revised How to compute $\int a^t \mathrm{d}t$?
improved formatting
Nov
15
comment About Lebesgue measure
From here you can get some inspiration.
Nov
15
comment About the properties of Lebesgue measurable subsets
Yes and $|E_1\times E_2|=|E_1||E_2|$
Nov
14
comment Evaluate $\lim_{n\to\infty} \frac{1}{n}\sum\limits_{k=1}^{2n}\frac{1-\ln(1+\frac{k}{n})}{(1+\frac{k}{n})^2}$
The symbol between the limit and the integral must be an "=". Unless that, everything is fine.
Nov
10
comment Properties of continuous bijection $f:X\to Y$
Indeed, that's the thing
Nov
10
comment Properties of continuous bijection $f:X\to Y$
Yes! ${}{}{}{}{}$
Nov
8
comment What does it mean $\lim \inf \int (g - f_n) = \int g - \lim \sup \int f_n$
Because $$\liminf \left(-\int f_n\right)=-\limsup\int f_n$$
Nov
7
revised If the graph of a function $f: A \rightarrow \mathbb R$ is compact, is $f$ continuous where $A$ is a compact metric space?
deleted 7 characters in body
Nov
7
revised If the graph of a function $f: A \rightarrow \mathbb R$ is compact, is $f$ continuous where $A$ is a compact metric space?
edited body
Nov
7
answered If the graph of a function $f: A \rightarrow \mathbb R$ is compact, is $f$ continuous where $A$ is a compact metric space?
Nov
7
revised If the graph of a function $f: A \rightarrow \mathbb R$ is compact, is $f$ continuous where $A$ is a compact metric space?
Formatting
Nov
6
revised $f\geq 0$, continuous and $\int_a^b f=0$ implies $f=0$ everywhere on $[a,b]$
Formatting
Nov
4
comment Limit and Lebesgue integral in a compact
If you have the resul for $|f|$, use the fact: $$0\leq\left|\int_E f\right|\leq \int_E |f|$$