| bio | website | code.google.com/p/notebk |
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| location | ||
| age | ||
| visits | member for | 1 year, 1 month |
| seen | yesterday | |
| stats | profile views | 108 |
A mathematician, a programmer, etc. etc.
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Jun 12 |
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Approximate solution for an ODE Why not just make the approximation that $\pm1+\exp(l^{2})\approx\exp(l^{2})$ and $\pm l^{2}+\exp(l^{2})\approx\exp(l^{2})$? |
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May 18 |
awarded | Yearling |
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May 9 |
awarded | Caucus |
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Dec 25 |
revised |
A relationship between matrices, bernoulli polynomials, and binomial coefficients added 1217 characters in body |
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Dec 25 |
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A relationship between matrices, bernoulli polynomials, and binomial coefficients @AndrewGibson: Many thanks for double checking my work! I really appreciate it :) |
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Dec 25 |
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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 :( |
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Dec 25 |
answered | A relationship between matrices, bernoulli polynomials, and binomial coefficients |
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Dec 25 |
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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!). |
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Dec 25 |
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A relationship between matrices, bernoulli polynomials, and binomial coefficients +1 for a great question! |
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Dec 25 |
suggested | suggested edit on A relationship between matrices, bernoulli polynomials, and binomial coefficients |
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Dec 25 |
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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. |
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Dec 24 |
suggested | suggested edit on Interpreting a limit as a derivative |
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Dec 23 |
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Division into $x(x-1)$ @Tomasz but $g=4$ doesn't cleanly divide $3(3-1)=6$ for $x=3$... |
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Dec 23 |
revised |
Division into $x(x-1)$ TeX-ed it up |
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Dec 23 |
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Division into $x(x-1)$ Ah yes, well played, @Marvis! |
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Dec 23 |
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Division into $x(x-1)$ <del>Also $g$ must be even...otherwise no such integer $x$ exists. So therefore $g\gt 2$, thanks to @Marvis' observation.</del> This is wrong, thanks to a simple counter-example $g=15$, $x=6$ (thanks @Marvis!). |
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Dec 23 |
suggested | suggested edit on Division into $x(x-1)$ |
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Dec 23 |
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Homologies of the pairs are same but they are not homotopy equivalent as pairs. But $D^{n}-\{0\}$ is homotopy equivalent to $S^{n-1}$! It's $D^{n}$ which is not homotopy equivalent to $S^{n-1}$...and, naturally, $D^{n}-\{0\}$ is not homotopy equivalent to $D^{n}$. I think this should clear up the matter... |
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Dec 10 |
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Why is a singular matrix rare? Hint: construct equivalence classes of matrices determined by their determinant. You'll see that singular matrices are comparatively small (i.e., represented by a single class) out of uncountably many equivalence classes (assuming you are working over $\mathbb{R}$ or $\mathbb{C}$)... |
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Dec 4 |
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Advice about taking mathematical analysis class +1 for "write the book" advice, a seldom noted nugget of wisdom :) |