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Jun
13
revised Can anyone recommend some books on PDE in $L^p$ space for me?
edited tags
Jun
13
comment Can anyone recommend some books on PDE in $L^p$ space for me?
$L^p$ theory of PDE typically cope with the properties of the solution in $L^p$ space (and Sobolev, Hölder...) of some PDEs, rather than what we learn at undergraduate courses, where solutions are smooth.
Jun
13
revised How to calculate the degrees of freedom of an $r$-ranked matrix with the size being $n\times n$?
further explanation of "degrees of freedom"; deleted 4 characters in body
Jun
13
comment How to calculate the degrees of freedom of an $r$-ranked matrix with the size being $n\times n$?
@Arturo Magidin, sorry for the ambiguity. Here I treat matrices as vectors lying in $\mathbb{R}^{n^2}$. And matrices with rank $r (r<n)$ are supposed to lie within a manifold of lower dimension. For example, the singular matrices lie within a $(n^2-1)$-dimensional manifold, because they satisfy $\det(M)=0$, the sole constraint. Alternatively, we can call the dimension of that lower-dimensional manifold as "Degree of freedom".
Jun
13
asked How to calculate the degrees of freedom of an $r$-ranked matrix with the size being $n\times n$?
Jun
13
comment Can anyone recommend some books on PDE in $L^p$ space for me?
Ah, 18-155 and 18-156 on OCW@MIT seem good supplements.
Jun
13
asked Can anyone recommend some books on PDE in $L^p$ space for me?
Jun
9
revised Two vague steps in the proof of Harnack inequality
snapshot inserted
Jun
7
comment Applications of algebra to algorithms
It proves that there aren't such algorithms so...it can serve as an example for the other side/direction.
Jun
7
revised Applications of algebra to algorithms
added 62 characters in body
Jun
7
answered Applications of algebra to algorithms
Jun
7
answered Applications of algebra to algorithms
Jun
6
revised Get polar equation from cartesian equation
"Texize" the formulas
Jun
6
suggested suggested edit on Get polar equation from cartesian equation
Jun
6
answered How can I solve this infinite sum?
Jun
6
answered Proof of Permutations
Jun
4
awarded  Critic
Jun
3
revised Mathematica: How to convert scales to frequencies?
added 20 characters in body
Jun
3
comment Is there a number system with matrix base?
I just did some googling: compalg.elte.hu/projects/binsys
Jun
3
revised Matrix equation question
added 26 characters in body