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 Jun 1 asked Name for norm with property $\|x+y\|=\|x\|+\|y\|$. May 31 comment How do I calculate this integral:$\int_{0}^{1}\ln^2 \left| \sqrt x-\sqrt{1-x} \right|dx$? I would split the domain to which $x$ belongs to describe positive and negative regions. That way you can dispose of the absolute value and simply evaluate a finite sum of integrals having no absolute values. May 27 accepted Multiplying two inequalities May 27 asked Multiplying two inequalities May 27 revised How should I self-study calculus? added 186 characters in body May 27 answered How should I self-study calculus? May 26 comment Rouché's Theorem for $p(z)=z^7-5z^3+12$ I may be wrong, but is your conclusion correct: $p(z)$ has $7$ roots in $D_2=\{z\in\mathbb{C}\mid |z|<2\}$ ? From your statement of Rouche's theorem you should conclude only that $p(z)$ has $0$ roots in $D_1$ since $f(z)=12$ has $0$ roots in $D_1$. May 23 comment Is there an object in reality that is proven to be uncountable? you could travel around the Earth countably infinite number of times, with certain unrealistic assumptions. That doesn't really answer your question but may be helpful to a layperson to understand you can pair off each circumnavigation with the natural numbers... May 23 comment $\int _{ 0 }^{ 1 }{ \frac { { x }^{ t }-1 }{ \ln { x } } dx }$ What is $t$? An integer, rational, real, complex, ... Also, what have you tried so far? May 22 accepted A name for the property $\| x \star y \| = \| x \| \| y \|$. May 19 comment Curious formula for minimum? Thanks. I knew that must be true since they are clearly equal. May 19 accepted Curious formula for minimum? May 19 revised Curious formula for minimum? added 81 characters in body May 18 comment A name for the property $\| x \star y \| = \| x \| \| y \|$. @tampis of course I should have remembered that from Number Theory ! May 18 comment A name for the property $\| x \star y \| = \| x \| \| y \|$. Thanks both, wasn't sure about terminology. I will take a look into algebras! May 18 revised A name for the property $\| x \star y \| = \| x \| \| y \|$. added 16 characters in body May 18 asked A name for the property $\| x \star y \| = \| x \| \| y \|$. May 18 revised Curious formula for minimum? added 144 characters in body May 18 comment Curious formula for minimum? @Andre I wasn't aware of the softmax function. Seems then that softmax can be transformed into the usual max by adding $-\log(1+e^{|x-y|})$ to it. Interesting. May 18 accepted What does $O\left(\frac{1}{\log\log T}\right)$ mean?