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My calculus textbook says that to calculate arc length of a set of parametric equations, the curve produced by the equations must be smooth and cannot cross itself. The book...
Asked on 12/10/2021 by Lightbulb
0 answerLet $X in L^1$ be a random variable on some probability space, define $M(theta) equiv E(e^{theta X})$ as its moment generating function and let $D(M) equiv {theta...
Asked on 12/10/2021
1 answerThe question requires finding all real values of $x$ for which $$lfloor ln xrfloor gt lnlfloor xrfloor $$ To start off, one could note that $$lfloor ln...
Asked on 12/10/2021 by Tavish
1 answerFor each vertex of a cube a plane is constructed through the three vertices which are neighbors of that vertex. Into how many parts do these eight planes dissect the...
Asked on 12/10/2021
1 answerThis question has been driving me CRAZY for 4 days now. The question comes from the textbook "One Thousand Exercises in Probability", specifically Exercise 3 in section 1.4. The solution...
Asked on 12/10/2021
4 answerWith the convention $0^0=1$, let$Q(1) = 1^1 - 0^0=1-1=0$$Q(2) = 2^2 - 1^1 - 0^0=4-1-1=2$$Q(3) = 3^3 - 2^2 - 1^1 - 0^0=27-4-1-1=21$$Q(4) = 4^4...
Asked on 12/10/2021 by Dimash K
0 answerA short write up is at section "method 22" on http://extremelearning.com.au/how-to-generate-uniformly-random-points-on-n-spheres-and-n-balls/ . I'm trying to get a more general case working, and so to say go from...
Asked on 12/10/2021 by Coderino Javarino
1 answerIn quadrilateral $ABCD$ if $AB$ and $CD$ meet at $E$ and $AD$ and $BC$ at $F$ prove that midpoints of $DB, AC,...
Asked on 12/10/2021
0 answerI have multiple events (labeled $a, b, c,dots$) that happen every $t_a, t_b, t_c$ times, they are certain (not random!). An easy example would be: 3 events, (a)...
Asked on 12/10/2021
1 answerGiven the following matrix $$A = begin{bmatrix} 1 & -3 & 0 & 3 \ -2 & -6 & 0 & 13 \ 0 & -3 & 1 &...
Asked on 12/10/2021
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