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Jul
23
comment Find angle of incomplete rotation matrix
Thanks! I hadn't seen your first fact before!
Jul
23
asked Find angle of incomplete rotation matrix
Jul
2
awarded  Curious
May
7
comment Prove $||A||_2 = max_{x \neq 0, y \neq 0}\{\frac{|\langle y,Ax \rangle|}{||x||\cdot ||y||}\}$ for $A\in \mathbb{K}^{n\times m}$
Thanks! That cleared everything up!
May
7
comment Prove $||A||_2 = max_{x \neq 0, y \neq 0}\{\frac{|\langle y,Ax \rangle|}{||x||\cdot ||y||}\}$ for $A\in \mathbb{K}^{n\times m}$
I'm afraid I don't quite know what to do with that information. SVD leads me to: $||A|| = max_{||v||=1} \langle v, V \Sigma^2 V\text{*}v\rangle$ which I don't know what to do with
May
7
asked Prove $||A||_2 = max_{x \neq 0, y \neq 0}\{\frac{|\langle y,Ax \rangle|}{||x||\cdot ||y||}\}$ for $A\in \mathbb{K}^{n\times m}$
May
5
awarded  Tumbleweed
Apr
28
asked Find $\underset{\omega}{min}$ $\underset{\beta \in \sigma(A)}{max}$ $|\frac{\omega - \beta}{\omega + \beta}|$
Apr
2
asked Example: Sum of non-commuting matrices is not normal
Jan
31
comment Show $\sqrt{1 + (\int_{\Omega} h d\mu)^2} \leq \int_{\Omega} \sqrt{1+h^2} d\mu$
aaah right! thanks so much!
Jan
31
accepted Show $\sqrt{1 + (\int_{\Omega} h d\mu)^2} \leq \int_{\Omega} \sqrt{1+h^2} d\mu$
Jan
31
asked Show $\sqrt{1 + (\int_{\Omega} h d\mu)^2} \leq \int_{\Omega} \sqrt{1+h^2} d\mu$
Dec
27
comment Show $\lim_{k \rightarrow \infty} (f_{n_k}, g) = (f,g)$ for a subsequence $f_{n_k}$ of $f_n$ and $g$ in $L^2([0,1])$
I'd prefer a proof without the Banach Alouglu theorem, since we didn't discuss topologies in any great detail. The question was posed in a measure theory/Lebesgue integration course if that helps!
Dec
27
asked Show $\lim_{k \rightarrow \infty} (f_{n_k}, g) = (f,g)$ for a subsequence $f_{n_k}$ of $f_n$ and $g$ in $L^2([0,1])$
Dec
26
comment Upper bound for measure of given set.
aah! thank you so much!
Dec
26
comment Upper bound for measure of given set.
Could you explain what $\phi(q)$ is? Thank you for your answer!
Dec
26
comment Upper bound for measure of given set.
No, when I was doing the equation I thought it was $1/q^3$ but the solutions stated the above bound. There could of course be a mistake in the solutions.
Dec
26
asked Upper bound for measure of given set.
Nov
27
comment Which integral is greater?
Ooh, right! Thanks, you're a life saver! :)
Nov
27
comment Which integral is greater?
but won't I then have a $log(\int_0^1 f(x)dx)$ instead of a $\int_0^1 log(f(x))dx$?