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1d
comment What are the character functions of $\mathbb{Z}_N \times \mathbb{Z}_N$ ?
@QiaochuYuan Thanks And any proof for this? And the $\rho_{( \omega^a, \omega^b )}$ map?
1d
asked What are the character functions of $\mathbb{Z}_N \times \mathbb{Z}_N$ ?
Jul
17
comment How exactly does one define the “spectral measure” of an operator?
Thanks! Any comments about my second point?
Jul
17
asked How exactly does one define the “spectral measure” of an operator?
Jul
17
revised What do we know about rank-2 perturbations?
added 2 characters in body
Jul
17
asked What do we know about rank-2 perturbations?
Jul
8
comment How does one define the Fourier transform of a probability distribution?
Can you complete the derivation with that interpretation?
Jul
7
asked How does one define the Fourier transform of a probability distribution?
Jul
7
comment Are there two different notions of “conditional probability”?
This problem with the denominator being $0$ also exists with the Kolmogorov definition too, right?
Jul
7
comment Are there two different notions of “conditional probability”?
I never needed to use anything like $P(X)$. All my $P$s are taking events as arguments and never random variables.
Jul
7
comment Are there two different notions of “conditional probability”?
But do you agree that the two equations I wrote above are different? I can't see a way by which one of the two can be cast as another. Its more like my (1) needs (2) to define. But (1) not equal to (2)
Jul
7
asked Are there two different notions of “conditional probability”?
Jun
10
comment A question in combinatorics
Any such sequence.
Jun
10
revised A question in combinatorics
deleted 179 characters in body
Jun
10
asked A question in combinatorics
Jun
9
comment Is there any relation between the Gershgorin circles of a matrix and its resolvent?
I corrected the question!
Jun
9
revised Is there any relation between the Gershgorin circles of a matrix and its resolvent?
added 7 characters in body
Jun
9
asked Is there any relation between the Gershgorin circles of a matrix and its resolvent?
May
30
comment What is the use and motivation for this particular concept in permutations?
In the permutation "54231", if one removes the "2" then one is left with "5431" and this after re-ranking is the permutation "4321" and NOT the permutation "4231". So I am not getting your argument about what you mean if you say that "54231 contains the permutation 4231 at positions 1,3,4,5"
May
30
comment What is the use and motivation for this particular concept in permutations?
Thanks for the explanations! But 54231 contains the pattern 4231 even at positions 4,2,3,1 - right?