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 Nov 5 comment Sentences and Quantifier Rank Thanks, I'll look at it! Nov 2 comment Sentences and Quantifier Rank Thanks! I edited my original post accordingly..! Nov 2 revised Sentences and Quantifier Rank added 210 characters in body Nov 2 comment Sentences and Quantifier Rank May I ask you for some reference link? Nov 2 comment Sentences and Quantifier Rank Absolutely. But I was in search of general guidelines.. Nov 2 asked Sentences and Quantifier Rank Sep 4 awarded Popular Question Oct 14 awarded Popular Question Jul 2 awarded Curious May 11 awarded Yearling Apr 16 comment Uniqueness of Singular Values Thanks, I forgotten the possible rectangularness of $U$s... Apr 16 comment Uniqueness of Singular Values Ok, so we would have used $\hat{U}=M^T U M$, IF we did select the same basis for the domain, but here we are selecting two different bases on the very purpose. Thank you again, perfectly clear! Apr 16 accepted Uniqueness of Singular Values Apr 16 comment Uniqueness of Singular Values Many thanks again. Apr 16 comment Uniqueness of Singular Values And why $\hat{U}=UM$ and not $\hat{U}=M^T UM$? After all, $\hat{U}$ and $U$ should be similar via the orthogonal change of basis operated by $M$.. Apr 16 comment Uniqueness of Singular Values Very clear and detailed, thanks. With $\rho(-)$ you are indicating the spectral radus? Apr 16 comment Uniqueness of Singular Values Thanks. I'm in a struggle about what answer to accept. Pavel gave a bit more detailed explanation, but you answered first. Apr 16 asked Uniqueness of Singular Values Apr 14 comment Mysterious Proof about Induced Norms (was: Uniqueness of SVD) @Markus: I suppose what Ewan Delanoy exposed in his post is essentially taken for granted by Trefethen. Probably a "give details of the proof" approach. Or at least I hope so. Apr 13 accepted Mysterious Proof about Induced Norms (was: Uniqueness of SVD)