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visits member for 3 years, 8 months
seen 23 hours ago

Mar
30
comment Question about notation / terminology
Many thanks! I have another question: what is the exact difference between $GL(E)$, the isomorphisms form $E$ to $E$ and $GL(n,k)$, the invertible $n \times n$ matrices with coefficients in $k$? (assuming $E$ is a vector space over $k$). Aren't invertible matrices automorphisms? And can I not write any linear automorphism as a matrix?
Mar
29
comment Largest eigenvalue of a real symmetric matrix
@Rafael: According to Wikipedia, the spectral theorem gives you conditions under which a matrix is diagonalizable, so yes, I think the spectral theorem is related.
Mar
29
revised Largest eigenvalue of a real symmetric matrix
Second hint added.
Mar
29
answered Largest eigenvalue of a real symmetric matrix
Mar
28
comment Question about notation / terminology
@Arturo: confusingly not the set of continuous functions, even though $C$ is used. But I don't think it's a typo in the script, the script is rather typo-free.
Mar
28
comment Question about notation / terminology
@Arturo: the set of functions from $G$, a group, to $k$, a field.
Mar
28
comment Question about notation / terminology
@BBischof: Sure, what would you suggest?
Mar
28
comment about continuous functions
"that delta gives you an epsilon" should be "that epsilon gives you a delta", if you would like to use the conventional notation.
Mar
28
answered about continuous functions
Mar
28
asked Question about notation / terminology
Mar
26
asked Proof of another Hatcher exercise: homotopy equivalence induces bijection (part II)
Mar
24
comment Is an intersection of two splitting fields a splitting field?
nice answer!
Mar
23
comment Proof of another Hatcher exercise: homotopy equivalence induces bijection
It is interesting to see how much easier something can be using good notation (yours instead of mine).
Mar
23
revised Proof of another Hatcher exercise: homotopy equivalence induces bijection
Removed ("stroke") second half of the question.
Mar
23
accepted Proof of another Hatcher exercise: homotopy equivalence induces bijection
Mar
22
revised What property of the transition matrix of a Markov process determines that there is a finite, non-zero long-term distribution?
Correction added.
Mar
22
comment What property of the transition matrix of a Markov process determines that there is a finite, non-zero long-term distribution?
@Byron: thanks Byron, I corrected it.
Mar
22
answered What property of the transition matrix of a Markov process determines that there is a finite, non-zero long-term distribution?
Mar
22
awarded  Organizer
Mar
22
comment Proof of another Hatcher exercise: homotopy equivalence induces bijection
@Theo: that I hadn't accepted your (first) answer didn't mean I wasn't going to! I left this question "unaccepted" because I personally wasn't done with this exercise, not because I wasn't satisfied with your answer.