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Dec
20
awarded  Constituent
Dec
8
comment How can we find another path
I don't know what the actual question is asking you to do. But, it is sufficient to determine the partial derivatives of this function. You will see that they do not exist at (0,0), therefore the function can not be differentiable at that point.
Dec
8
comment How can we find another path
What have you done so far?
Dec
8
revised $P+Q:=\varphi_{O}^{-1}\left(\varphi_{O}(P)+\varphi_{O}(Q)\right)$
Removed algebra-precalculus tag
Dec
8
suggested approved edit on $P+Q:=\varphi_{O}^{-1}\left(\varphi_{O}(P)+\varphi_{O}(Q)\right)$
Dec
8
awarded  Caucus
Dec
3
comment How to show symmetric matrices are orthogonally diagonalizable
Bastardizing the spectral theorem a little bit.
Dec
3
comment Limit of Implicitly Defined Function
I would have to think about that. If someone else can weigh in on this, it would be appreciated. I have a strong feeling it is limited to this specific case, but there might be something more general out there.
Dec
3
comment How to show symmetric matrices are orthogonally diagonalizable
Recall that if A is a $n\times n$ symmetric matrix, then there exists a set of n orthonormal eigenvectors for A.
Dec
3
revised How to show symmetric matrices are orthogonally diagonalizable
Corrected title
Dec
3
suggested approved edit on How to show symmetric matrices are orthogonally diagonalizable
Dec
3
comment How to show symmetric matrices are orthogonally diagonalizable
What you are trying to do is show that symmetric matrices are orthogonally diagonalizable.
Dec
3
answered Limit of Implicitly Defined Function
Sep
24
awarded  Autobiographer
Sep
13
comment Tips for proving biconditionals involving ORs
That is what I meant, thank you for clarifying
Sep
13
comment Tips for proving biconditionals involving ORs
Dave: Does the converse hold true aswell since this is an iff?
Sep
13
revised Tips for proving biconditionals involving ORs
added 67 characters in body
Sep
13
asked Tips for proving biconditionals involving ORs
Sep
13
answered Notation symbol $x$ for functions
Sep
8
awarded  Yearling