| bio | website | |
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| visits | member for | 2 years, 2 months |
| seen | 10 hours ago | |
| stats | profile views | 8,413 |
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Mar 24 |
revised |
A computation with vectors removed spurious reference to Calculus from title |
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Mar 23 |
revised |
Evaluate and prove by induction: $\sum k{n\choose k},\sum \frac{1}{k(k+1)}$ more informative title |
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Mar 23 |
answered | Is there a catalogue of solved Diophantine equations? |
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Mar 23 |
comment |
Why isn't $\mathbb Z [\sqrt{pq}]$ a factorial domain I don't know if this works, but note that $pq=\sqrt{pq}\sqrt{pq}$, so if you can prove $p$, $q$, and $\sqrt{pq}$ are all irreducible, you win. |
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Mar 23 |
answered | Let $a,b \in {\mathbb{Z_+}}$ such that $a|b^2, b^3|a^4, a^5|b^6, b^7|a^8 \cdots$, Prove $a=b$ |
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Mar 23 |
answered | Encoding of a combination |
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Mar 23 |
answered | how to prove an integer inequality |
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Mar 23 |
comment |
Number of matrices with weakly increasing rows and columns Can you do any special cases, maybe see some patterns? |
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Mar 23 |
answered | Max flow Min cut Problem |
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Mar 23 |
revised |
Asymptotic functions removed spurious tag |
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Mar 23 |
comment |
Generalized multiplicative functions The reduction to the case $f(1)=1$ still works, but you don't get any restriction on the value at prime powers. I don't know if anyone has looked at the set of functions with this property. |
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Mar 23 |
revised |
Let $m$ be the inverse function of $h(x) = 3x + \cos(2x)$. Find $m'(\frac{3\pi}{4})$ fixed error in response to comment |
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Mar 23 |
comment |
Let $m$ be the inverse function of $h(x) = 3x + \cos(2x)$. Find $m'(\frac{3\pi}{4})$ @Patrick, yes, thanks, I'll edit. |
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Mar 23 |
answered | How to write a ratio in the form of n:1 |
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Mar 23 |
comment |
Did H. Lebesgue claim “1 is prime” in 1899? Source? The question also came up in some comments at mathoverflow.net/questions/30735/… though we didn't cover any new ground. Maybe Franz Lemmermeyer has looked into it more deeply in the meantime. |
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Mar 23 |
answered | $3 \times 3 $ Magic Square of Squares |
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Mar 23 |
answered | Generalized multiplicative functions |
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Mar 23 |
comment |
Diophantine special problem A little more information, please. How do you know there is an absolute constant $C$ such that $x^2+D=kp^n$ has at most $C$ solutions? How do you know $x^2+119=15\cdot2^n$ has only six solutions? And what is great and special about these problems? |
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Mar 23 |
comment |
Let $m$ be the inverse function of $h(x) = 3x + \cos(2x)$. Find $m'(\frac{3\pi}{4})$ That's great, if you're good at remembering formulas. Also, you still have to figure out what $m(3\pi/4)$ is. |
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Mar 23 |
comment |
Existence of a symmetric matrix $A$ such that $XA=Y$. I'd think there'd be a way to build $B$ (or $A$, as in the title) one row/column at a time. That is, you can make the first row of $B$ so its product with $X$ gives you the first entry of $Y$. That determines the first column of $B$, but can still fill out the rest of the second row of $B$ to get the second entry in $Y$ correct, etc., etc. Well, some care in the order in which you fill in the rows/columns may be needed. |