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Jan
16
reviewed Approve How is the equation $P(X_1>X_2) = \displaystyle \int_{0}^1 P(X_1>X_2 | X_2=x) f_{X_2}(x) dx$ derived?
Oct
16
awarded  Popular Question
Sep
16
reviewed Approve Are the curvature value of a straight line zero(parametrized curves)
Sep
9
reviewed Edit Need help finding the series in order to prove by induction
Sep
9
revised Need help finding the series in order to prove by induction
improved formatting
Sep
1
revised Show that from a group of seven people whose (integer) ages add up to 332 one can select three people with the total age at least 142.
Elaborated.
Sep
1
comment 1, 5, 9, 13, 17, 21,…
@JoshuaTaylor: That's the best.
Sep
1
comment 1, 5, 9, 13, 17, 21,…
Why not flip it around? $\{n | n=4k-3 \; \forall k \in \mathbb{N}\}$. I think this is more straightforward. Or a little more simply, $\{n | n=4k-3, \; k \in \mathbb{N}\}$.
Aug
30
reviewed Approve Function that transforms the interval $[a,b]$ into $[0,1]$
Aug
29
awarded  Nice Answer
Aug
28
reviewed Reject Minesweeper probability
Aug
28
comment Show that from a group of seven people whose (integer) ages add up to 332 one can select three people with the total age at least 142.
@HagenvonEitzen: That's true, greater rigor would mean a little more complexity. However, I see this as one of those things that is intuitively true and simple, which also holds up under deeper analysis.
Aug
28
answered Show that from a group of seven people whose (integer) ages add up to 332 one can select three people with the total age at least 142.
Aug
21
reviewed Approve How to calculate the cardinality of the complement of two countable sets of reals?
Aug
15
reviewed Approve Convergence of improper integral $\int_{0}^{\frac{\pi}{6}}\dfrac{x}{\sqrt{1-2\sin x}}dx$
Aug
13
reviewed Reject Cosine formula to show if an angle is obtuse or acute
Aug
9
comment On the hyperboloid model, if the point $\mathbf{v}$ gets translated to the origin, then where does the point $\mathbf{x}$ go?
Finally solved it! I contest your claim that it is "an easy solution"! Took me several hours. But I did it! So, again, thank you very much for your input. Turned out to be just what I needed. :)
Aug
8
comment On the hyperboloid model, if the point $\mathbf{v}$ gets translated to the origin, then where does the point $\mathbf{x}$ go?
Had a key insight: $M\left[ \begin{array}{c}1\\0\\0\end{array} \right] = -\vec{v}$ and I've very nearly got the solution. Just need to find a bug or two.
Aug
8
comment On the hyperboloid model, if the point $\mathbf{v}$ gets translated to the origin, then where does the point $\mathbf{x}$ go?
After working on this for a couple hours, I challenge you to find a complete solution.
Aug
7
comment On the hyperboloid model, if the point $\mathbf{v}$ gets translated to the origin, then where does the point $\mathbf{x}$ go?
I thought about it more, and I realized that if I can get the last three equations to have the same three variables each, then that immediately leads to the full solution. Which is slightly less daunting than substitutions all the way down. Thanks for your answer! It's really helped me actually tackle my problem. :)