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 Nov 22 accepted How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ Nov 22 accepted How to prove that $\aleph{(T)} \subseteq \aleph{(T^{n})}$? Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ @Slade Exactly. How to prove your representation? Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ We want to prove that a vector inner-product namely $^{0.5}$ is a norm. We can't use something we want to prove in the process Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ also we can't use ||u^2|| instead of ^0.5 since we have not proven it to be a norm yet Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ I've already reached this far but I don't know how to proceed. That is How to show that your statement is less than norm of u + norm of v? Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ @Slade I've tried that before. But I'm stuck on something else which I can't prove Nov 22 asked How to prove that $\aleph{(T)} \subseteq \aleph{(T^{n})}$? Nov 22 asked How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ Oct 29 awarded Notable Question Oct 17 comment How to calculate $(I + GH)^{-1}$? @hardmath Seems like they are the same. But the thing is I didn't quite know "Rand one perturbation" has anything to do with my question beforehand... Oct 17 comment How to calculate $(I + GH)^{-1}$? @Eff More like Shermanâ€“Morrison formula. Thanks;) Oct 17 asked How to calculate $(I + GH)^{-1}$? Jul 3 awarded Yearling Dec 22 awarded Caucus Oct 12 comment Analytic region of $f(z)^{1/n}$ @mark Ah, you are right, f(z) is analytic Oct 12 revised Analytic region of $f(z)^{1/n}$ added 32 characters in body Oct 12 comment Analytic region of $f(z)^{1/n}$ I edited my post Oct 12 revised Analytic region of $f(z)^{1/n}$ added 87 characters in body Oct 12 comment Analytic region of $f(z)^{1/n}$ I'm looking for conditions on Real and Imaginary parts of f(z) so the non-analytic region could be derived