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seen Aug 16 '12 at 1:55

Jun
30
awarded  Yearling
Jul
11
awarded  Supporter
Jul
11
comment Is there a sequence in $(0,1)$ such that the product of all its terms is $\frac{1}{2}$?
I like the telescoping product, too.
Jul
10
comment Is there a sequence in $(0,1)$ such that the product of all its terms is $\frac{1}{2}$?
As long as the sequence $\pi_n$ is positive and strictly decreasing.
Jul
10
answered Is there a sequence in $(0,1)$ such that the product of all its terms is $\frac{1}{2}$?
Jul
7
comment Kolmogorov's unit interval probability space
That's right! Now I remember! Thanks for reminding me. That was ages ago and I must have forgotten. It's been 14 years since I took probability.
Jul
7
awarded  Student
Jul
7
comment Can we possibly combine $\int_a^b{g(x)dx}$ plus $\int_c^d{h(x)dx}$ into $\int_e^f{j(x)dx}$?
Maybe it will help to look at it like this: we are setting $$\frac{u-a}{b-a}=\frac{v-c}{d-c}=\frac{x-e}{f-e}$$ and allowing each of these fractions to range from 0 to 1.
Jul
7
asked Kolmogorov's unit interval probability space
Jul
7
comment Can we possibly combine $\int_a^b{g(x)dx}$ plus $\int_c^d{h(x)dx}$ into $\int_e^f{j(x)dx}$?
I think you might have those fractions upside-down. Shouldn't you get $x=\frac{f-e}{b-a}(u-a)+e$ and $dx=\frac{f-e}{b-a}du$? But you don't really need to do that anyways. Just express $u$, $du$, $v$, and $dv$ in terms of $x$ and $dx$, and plug those substitutions into the first two integrals.
Jul
7
comment Can we possibly combine $\int_a^b{g(x)dx}$ plus $\int_c^d{h(x)dx}$ into $\int_e^f{j(x)dx}$?
@MattGroff: try working out the change of variables I indicated in an edit to my answer.
Jul
7
revised Can we possibly combine $\int_a^b{g(x)dx}$ plus $\int_c^d{h(x)dx}$ into $\int_e^f{j(x)dx}$?
explanation
Jul
6
awarded  Teacher
Jul
6
comment Learning math-oriented French
For some reason the French like to denote an open interval by $]a,b[$ instead of $(a,b)$ and they put a lot of space between an equation and any grammatical punctuation. Probability distributions are still called "lois" in French, which comes across as somewhat quaint and old-fashioned in English. Read some of the papers at numdam.org just to get a feel for the language.
Jul
6
answered Can we possibly combine $\int_a^b{g(x)dx}$ plus $\int_c^d{h(x)dx}$ into $\int_e^f{j(x)dx}$?
Jul
3
answered Degeneracy of outerplanar graphs
Jul
2
answered Which is the greatest possible natural number that divides $(p+3)(p-7)$, where $p$ is a prime number greater than $3$?
Jul
2
comment Roman numerals Subtractive VS Additive
Just as an example for subtractive notation, 1999 is not generally written "IM", as might be supposed, but rather "MCMXCIX".
Jun
30
revised KL divergence between Bernoulli Distribution with parameter $p$ and Gaussian Distribution
oops again
Jun
30
awarded  Editor