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bio website math.mit.edu/~shor
location Cambridge, MA
age 53
visits member for 1 year, 3 months
seen Dec 29 '12 at 19:16
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I'm a professor in the Mathematics Dept. at M.I.T. I mostly work on quantum computation, quantum information, and quantum complexity, but I am also interested in other areas of theoretical computer science and mathematics.


Dec
20
awarded  Editor
Dec
20
revised Where can I learn about transforming uniform, random distribution into other distribution
edited body
Dec
19
awarded  Teacher
Dec
19
comment Where can I learn about transforming uniform, random distribution into other distribution
For one dimension, inverse transform sampling is indeed a good thing to use. The problem with discarding points outside a sphere is that in high dimensions, you end up discarding nearly 100% of your points.
Dec
19
answered Where can I learn about transforming uniform, random distribution into other distribution
Dec
19
comment Where can I learn about transforming uniform, random distribution into other distribution
@Jerry: Generating one angle between 0 and 360 and another between 0 and 180 DOES NOT WORK! A point near the pole is much more likely than one near the equator.
Dec
19
comment Where can I learn about transforming uniform, random distribution into other distribution
Or, for much larger dimensions, you could choose $n$ points from a Gaussian distribution with mean 0 and variance 1, and normalize them. This gives a random direction.
Feb
27
awarded  Supporter
Feb
21
comment What is the most accurate way of determining an object's color?
It's not just obviously coloured light. I am pretty sure that sunlight, fluorescent light, and incandescent light have colours that are different enough to mess up HSB colour-matching, even though our eyes somehow adjust so that we don't perceive things changing colour.
Feb
21
awarded  Autobiographer
Feb
21
comment What is the most accurate way of determining an object's color?
Let me comment that although switching to HSB color-space may help some, it will certainly not completely adjust properly for arbitrary lighting (even in theory). For that, you would need to use something more complicated, possibly looking at the difference in colour between the coins, although I don't have any concrete suggestions.