Professor of Computer Science, Professor of Mathematics

5h
comment Convex hull algorithms for sorted set of points
@Alexey: I don't believe your sorting helps, at least in terms of asymptotics. Perhaps just using the incremental algorithm but adding the points in sorted order would be efficient...
May
18
comment Convex hull algorithms for sorted set of points
@Alexey: When one says "sorted set of points in 3 and higher dimensions," the only interpretation of "sorted" that is natural is "sorted by one coordinate." Even in 2D, "sorted by one coordinate" is not at all the same as "sorted angularly about an interior point." And there is no equivalent in 3D of "sorted angularly." So I guess I need an explanation of what it means to you for points to be sorted in 3D.
May
15
answered Convex hull algorithms for sorted set of points
May
14
revised Following a polyline along the surface of a polygon that is twisted
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May
12
accepted Probability of retirement event
May
12
comment Probability of retirement event
Here is an example. If $\mu=70$ and $\sigma=5$, then $F(76)=0.88$ and $F(75)=0.84$, and your expression yields $0.25$. So there is only actually a small chance that this 75-yr-old will retire, whereas I would think it would be larger. An 80-yr-old only has a 39% chance of retiring. Maybe the normal distribution assumption is the culprit here.
May
11
comment Probability of retirement event
@user17762 and Sh3ljohn: Thank you! I need to think about this more before replying substantively...
May
11
comment Probability of retirement event
Thanks, but: (a) What is $F$? (b) Why is it not possible to compute the probability exactly? Apologies for my ignorance...
May
11
revised Probability of retirement event
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May
11
comment Probability of retirement event
@HagenvonEitzen: Yes. I'll clarify.
May
11
asked Probability of retirement event
May
11
comment How to find the tangents of two ellipses?
You can actually solve this analytically, which might not be the best computational route, but ...
May
7
awarded Caucus
May
5
answered Find separating line between two polygons
May
3
comment intersection of voronoi diagram with a line
See the answers on MathOverflow, which suggest the answer is No, under certain interpretations of "comptutationally efficient."
Apr
23
comment Creating bounds of a shape
Try the *Graham scan* algorithm. You can find code for it all over the web (and via that Wikipedia link).
Apr
16
answered reference algorithm for weighted voronoi diagrams?
Apr
8
comment farthest point voronoi diagram of 3 points
@Ashwin: Adobe Illustrator.
Apr
7
revised farthest point voronoi diagram of 3 points
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Apr
7
answered farthest point voronoi diagram of 3 points
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