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 Jun30 awarded Yearling Jul11 awarded Supporter Jul11 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. Jul10 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. Jul10 answered Is there a sequence in $(0,1)$ such that the product of all its terms is $\frac{1}{2}$? Jul7 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. Jul7 awarded Student Jul7 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. Jul7 asked Kolmogorov's unit interval probability space Jul7 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. Jul7 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. Jul7 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 Jul6 awarded Teacher Jul6 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. Jul6 answered Can we possibly combine $\int_a^b{g(x)dx}$ plus $\int_c^d{h(x)dx}$ into $\int_e^f{j(x)dx}$? Jul3 answered Degeneracy of outerplanar graphs Jul2 answered Which is the greatest possible natural number that divides $(p+3)(p-7)$, where $p$ is a prime number greater than $3$? Jul2 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". Jun30 revised KL divergence between Bernoulli Distribution with parameter $p$ and Gaussian Distribution oops again Jun30 awarded Editor