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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 $<u,u>^{0.5}$ 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 <u,u>^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 Sherman–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