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Aug
3
suggested approved edit on Optimize database indexes, the sequel
Aug
3
revised Optimize database indexes, the sequel
Improved formatting
Aug
3
suggested approved edit on Optimize database indexes, the sequel
Aug
3
comment Learning math: still paper and pen
When you write with a pen/pencil on paper, your brain is actually registering the words --- whereas typing registers the letters. Consequently, the overall notes written by hand (in any subject) "sticks" with you longer and better than those just typed up. Ideally, you'd write by hand on paper first, then type them up in LaTeX taking into account corrections, citations, more interesting examples, etc. etc. etc.
Aug
2
comment How to solve $f\frac{\partial^2f}{\partial x\partial y} = \frac{\partial f}{\partial x}\frac{\partial f}{\partial y}$
Perhaps if you change coordinates to $z=x+\mathrm{i}y$ and $\bar{z}=x-\mathrm{i}y$, you get something along the lines of Laplace's equation. That should be a good first step...
Jul
25
revised When are $3$ vectors associative in triple cross products?
Improved the TeX formatting
Jul
25
suggested approved edit on When are $3$ vectors associative in triple cross products?
Jul
20
comment is there a notion of graded Zariski tangent space?
There is a Zariski tangent space defined in this eprint, at the end of section 2.2 (on the top of page 4) is extended to a Zariski tangent superspace for a particular example therein.
Jul
11
comment Approximate solution for an ODE
Perhaps you should use some words...
Jun
12
comment Approximate solution for an ODE
Why not just make the approximation that $\pm1+\exp(l^{2})\approx\exp(l^{2})$ and $\pm l^{2}+\exp(l^{2})\approx\exp(l^{2})$?
May
18
awarded  Yearling
May
9
awarded  Caucus
Dec
25
revised A relationship between matrices, bernoulli polynomials, and binomial coefficients
added 1217 characters in body
Dec
25
comment A relationship between matrices, bernoulli polynomials, and binomial coefficients
@AndrewGibson: Many thanks for double checking my work! I really appreciate it :)
Dec
25
comment A relationship between matrices, bernoulli polynomials, and binomial coefficients
Oh, I hate to burst the magic: your matrix factorization is incorrect. If you carry out the matrix multiplication, you don't recover the correct matrix :(
Dec
25
answered A relationship between matrices, bernoulli polynomials, and binomial coefficients
Dec
25
comment A relationship between matrices, bernoulli polynomials, and binomial coefficients
This phenomena is unique to 4 dimensions, it fails in 5 dimensions (although, I openly confess, I haven't done intense linear algebra calculations in a while---so I may have committed an error!).
Dec
25
comment A relationship between matrices, bernoulli polynomials, and binomial coefficients
+1 for a great question!
Dec
25
suggested rejected edit on A relationship between matrices, bernoulli polynomials, and binomial coefficients
Dec
25
comment when does a separate-variable series solution exist for a PDE
A good reference on this is Methods of Theoretical Physics by Philip McCord Morse and Herman Feshbach.