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| bio | website | |
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| location | ||
| age | ||
| visits | member for | 1 year, 8 months |
| seen | 11 hours ago | |
| stats | profile views | 133 |
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May 8 |
revised |
Conditional probability and linearity fix broken link |
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May 8 |
suggested | suggested edit on Conditional probability and linearity |
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May 4 |
comment |
Different interpretations of indicator random variable The typo may be in the textbook. |
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May 4 |
comment |
Different interpretations of indicator random variable Looks like a couple of typos ... In the first equation, "$1_A\le t$" should be "$1_A \in B$", and "$\Omega$ $\mbox{if 0 $\notin$ B, 1$\in$ B,}$" should be "$\Omega$ $\mbox{if 0 $\in$ B, 1$\in$ B}$". |
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Mar 8 |
comment |
Ordinal interpretation of Friedman's $n$? Theorem 5.19 in that paper shows $n()$ to be at level $\omega^{\omega}$ in the fast-growing hierarchy -- far below $\epsilon_0$, as you guessed. |
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Mar 6 |
comment |
Guessing the probability by results of just 1 experiment I believe you meant to say that the "normalizing factor" $P(heads)$ should be understood as $\int_0^1 P(\mathrm{heads}|X=x) \ p_0(x)\,dx$ (rather than $\int_0^1 P(\mathrm{heads}|X=x)\,dx$), because at that point you haven't yet assumed a uniform prior, i.e. $p_0 = 1_{[0,1]}$. |
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Feb 27 |
comment |
Integer sequences which quickly become unimaginably large, then shrink down to “normal” size again? I should have made it clear that the linear segments begin when the decreasing ordinal sequence reaches ω^2, any earlier Goodstein sequence terms typically increasing at much higher rates. Remarkably, virtually 100% of the terms occur after the one corresponding to ω^2, in a succession of increasingly long linear segments whose slopes are b-1, b-2, ...,1, 0, -1 (b being the base when the quadratic term appears, and the -1 being the slope of the final descent to 0). Some details are at sites.google.com/site/res0001/… |
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Feb 26 |
comment |
Integer sequences which quickly become unimaginably large, then shrink down to “normal” size again? It may be worth noting that the general shape of all Goodstein sequences whose "ordinal descent" passes through ω^2 is "piecewise linear", starting off with linear segments that increase most rapidly, then reach a long plateau, then decrease from this maximum all the way down to 0 in one very long linear segment. Some illustrations are in Wolfram's ANKOS wolframscience.com/nksonline/page-1163a-text?firstview=1 (It can be shown that in the entire sequence of terms, almost exactly 25% are increasing, almost exactly 25% equal the maximum, and 50% are decreasing.) |
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Dec 5 |
comment |
Find correlation of x and y, given E(Y|X) and E(X|Y) @DilipSarwate (+1), but I think you meant to write $\rho = -1/2$ in your comment. |
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Dec 3 |
revised |
How can I apply a Inclusion–exclusion principle in this task? edited tags |
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Nov 22 |
comment |
Estimate number of distinct items This is commonly known as the problem of species richness estimation. A web-search on this phrase should turn up lots of references. |
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Sep 20 |
awarded | Yearling |
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Aug 17 |
awarded | Revival |
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Aug 12 |
comment |
How come in classical mechanics we can get away with writing $a=v(dv/dx)$, treating $v$ as a function of $x$? math.stackexchange.com/questions/15418/… |
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Aug 8 |
answered | Help me find equation of this graph |
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Aug 3 |
comment |
Rain droplets falling on a table FWIW, it seems that a function of the form $f(r/R) = c \cdot (r/R)^{-2}$ fits your simulation of "drops needed" quite well, with $c \approx 12$ (whereas the lower bound I posted has the same form but with $c = 2 \pi / \sqrt{27} \approx 1.2$. |
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Aug 2 |
revised |
Linearity of uncertainty add link to some axiomatic developments of Shannon entropy |
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Aug 2 |
revised |
Linearity of uncertainty convex -> concave |
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Aug 2 |
answered | Linearity of uncertainty |
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Aug 2 |
revised |
Rain droplets falling on a table remove unnecessary formula |
