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Aug
6
comment $2^x - a$ touches $\log_2(x)$
It is amusing that $a$ is very close to, but not equal to, 2.
Aug
5
comment Cells counting problem
The two-dimensional analogue of this problem, with squares -- how many 1-cells are there in the upper-left N-by-N square in the first slice? -- is apparently a known sequence (oeis.org/A064194)
Aug
3
answered A “fast” way to ,find the maximum value of $(x^2) \times (y^3)$,if $3x+4y=12$ for $x,y \ge 0$
Jul
30
revised Distribution of Max(X_i) | Min(X_i), X_i are iid uniform random variables
had wrong pdf for Y.
Jul
30
comment Distribution of Max(X_i) | Min(X_i), X_i are iid uniform random variables
jrand, you're right. I kept changing my mind on whether I wanted X to be the minimum and Y to be the maximum, or vice versa.
Jul
29
answered Distribution of Max(X_i) | Min(X_i), X_i are iid uniform random variables
Jul
29
comment Boxplots and bar graphs
I agree with Abraham. To clarify, there's 25% in savings and 24% in mortgage expenditures. (A trick for finding them: the two numbers sum to 49, so one of them is at least 49/2 = 24.5, so you really only need to look at the large expenditures.)
Jul
23
answered A nice expression for $P(X>Y, X>Z)$ where $X$ is standard normal, $Y, Z$ are normal with mean 1 and variance 1?
Jul
23
revised A nice expression for $P(X>Y, X>Z)$ where $X$ is standard normal, $Y, Z$ are normal with mean 1 and variance 1?
edited body
Jul
23
comment A nice expression for $P(X>Y, X>Z)$ where $X$ is standard normal, $Y, Z$ are normal with mean 1 and variance 1?
Y and Z have mean 1 and variance 1; that was a typo. I'll fix it.
Jul
22
asked A nice expression for $P(X>Y, X>Z)$ where $X$ is standard normal, $Y, Z$ are normal with mean 1 and variance 1?
Jul
22
awarded  Yearling
Jul
21
comment What is a cubical sphere?
So a combinatorial cube is something that has the same inclusions among its faces as the usual $n$-cube?
Jul
21
comment What is a cubical sphere?
How do you define "combinatorial cubes"?
Jul
18
comment Bullseye distribution (Rayleigh distr)
I agree with this guess.
Jul
14
answered The probability that 25 people do not have the same birthday
Jul
7
comment The “beach problem”: does anyone know it? or know how to solve it?
I don't read German. Is this basically just a brute-force search or is there something more going on?
Jul
6
comment How accurately can huge factorials be calculated?
The last term in your sum should be $\log \sqrt{n}$ or ${1 \over 2} \log n$.
Jul
5
comment What technique would be suitable to solve this: $\int \sin ^{5}\left( x^{2}\right) \left( x\cos \left(x^{2}\right)\right)\mathrm{d}x$
$x^2$ is "ugly". So we call it $u$, the first letter of "ugly".
Jul
5
comment Recursion equations: $T(n)=T(\frac{n}{4})+T(\frac{3}{4}n)+1$
The next natural question is to ask for $\lim_{n \to \infty} T(n)/n$. Since $n/4$ and $3n/4$ are not necessarily integers this depends on how you round; the correct way to do this presumably comes from the algorithm that gives rise to this recurrence. But it appears that for any combination of rounding up, rounding down, and rounding to the nearest integer that limit doesn't exist; rather $T(n)/n$ oscillates between two constants $a$ and $b$.