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Jun
3
awarded  Yearling
Sep
1
comment can $ \int_0^{\pi/2} \ln ( \sin(x)) \; dx$ be evaluated with complex integral
Are you sure your lower limit of integration is correct? I don't see much hope for it as $x\to 0^+$ though.
Aug
28
answered Question about answer about quadratic forms on MO
Aug
17
comment Direct Sum and Linear transformation
context-free grammar? pdos.csail.mit.edu/scigen
Aug
17
comment Direct Sum and Linear transformation
@Robert: Ah the subtlety I missed here is it's for every complementary pair not just a specific pair.
Aug
17
comment Direct Sum and Linear transformation
@Gerry: yes agreed, V should be called a module then instead of a vector space.
Aug
17
comment Direct Sum and Linear transformation
Gerry: I think a further assumption needs to be made for there to be any hope of this being true. T must be linear on each subspace $W_i$
Aug
17
comment Direct Sum and Linear transformation
I assumed $\mathbb{Z}_2$ is integers mod 2, are you assuming it's the 2-adic integers?
Aug
17
comment Direct Sum and Linear transformation
$\mathbb{Z}_2$ is the integers mod 2 here right?
Aug
17
comment Direct Sum and Linear transformation
Does the bijection T change into function f part way through the problem?
Aug
1
comment Root Mean Square
@Rahul isn't that just the absolute mean for real valued x ?
Aug
1
awarded  Scholar
Aug
1
accepted Root Mean Square
Aug
1
comment Root Mean Square
...constant functions should return the constant under a sensible continuous mean as well.
Jul
31
comment Root Mean Square
Rahul, I think that hits the nail on the head.
Jul
31
comment Root Mean Square
Bitrex: yes I've fixed it
Jul
31
revised Root Mean Square
added square to continuous version
Jul
31
awarded  Student
Jul
31
asked Root Mean Square
Jul
31
comment Generalized Change of Variables Theorem?
I could see some sort of relation between the Borel measure and differential structure giving you the measurable conditions you need. Then again requiring the weight functions to be measurable would not be an undue burden on this sort of theory.