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 Sep 9 comment Samples and random variables Assuming the $X$ is the one I defined in my question, then I believe that the $X_i$ are defined such that $X_i(\omega) = X(\pi_i(\omega))$ where $\pi_i$ is the projection onto the $i$th coordinate. Sep 9 comment Samples and random variables Suppose $n = 3$ and my sample consists of Alice, Bob and Eve. Are you saying that (Alice, Bob, Eve) and (Bob, Alice, Eve) would constitute two different points of the sample space? In my mind, it should not because I do not care about the order. Sep 8 asked Samples and random variables Sep 3 accepted Motivation of the Gaussian Integral Sep 3 revised Motivation of the Gaussian Integral added 305 characters in body Sep 3 comment Motivation of the Gaussian Integral This is an interesting answer. However, it is not clear to me why $p(x)\Delta x$ is the probability of landing in the vertical strip of size $\Delta x$. What is the justification for this? Sep 2 revised Motivation of the Gaussian Integral added 3 characters in body Sep 2 asked Motivation of the Gaussian Integral Aug 24 awarded Yearling Jul 11 answered Proof that $\sum\limits_{k=1}^nk^2 = \frac{n(n+1)(2n+1)}{6}$? Jul 8 answered Covectors and Vectors Jun 19 comment Functions as integrals of basis functions I know about this theory. However, it doesn't yield the classical Fourier transform though (where thinkings happen in $L^1(\mathbf R)$. Jun 18 revised Functions as integrals of basis functions added 574 characters in body Jun 18 asked Functions as integrals of basis functions May 27 comment Questions about boundary faces of simplices and triangulations @wckronholm I understand what you meant to say now, that is that every point of a simplex is an interior point of one of its faces. Let me think about what I can do with that. May 27 awarded Commentator May 27 comment Questions about boundary faces of simplices and triangulations @wckronholm That cannot be true since two subsimplices may share a face. May 27 comment Questions about boundary faces of simplices and triangulations @Joseph A triangulation of an $n$-dimensional simplex $S$ is a finite collection of $n$-simplices, called the subsimplices of the triangulation, whose union equals S and such that the intersection of any two of them is a common face. May 26 asked Questions about boundary faces of simplices and triangulations May 16 comment Checking that a particular set is a $\sigma$-algebra What is $\mathcal M$ supposed to be?