please show me a function that is not absolutely integrable but is square integrable
>>8764151
[math]|x|^{-1/2} / (1+x^2)[/math]
>>8764175
oops that's the opposite
>>8764151
[math]f : x \mapsto
\begin{cases}
1 \ \mathrm{if} \ x \in [-1,1] \\
\frac{1}{|x|} \ \mathrm{if} \ |x|>1
\end{cases}[/math]
>>8764230
unconditional functions only.
>>8764767
>unconditional functions only.
>>8764767
unconditinally funny
>>8764802
Cool, I was thinking on how to rewrite it using the absolute value.
>>8764802
this still is a conditional function
|x| = x if x > 0 else -x
>>8765502
tough fucking luck
>>8764767
>unconditional functions only
[math]f(x)=\frac{e^{-\frac{1}{x^2}}}{x}[/math]
[eqn] \frac{x}{1 + x^2} [/eqn]
>>8764151
1/n with the counting measure.
>>8764767
Unconditionnal kek
[math]f(x) = \frac12 \left( \frac{1}{ \sqrt{x^2}}+1-\sqrt{ \left( 1-\frac{1}{\sqrt{x^2}} \right)^2} \right)[/math]
which is exactlye the same function as
>>8764802