kasdkashdkas

4 ms·

1. 1.▲
   by kasdkashdkas 11y ago

   It's a bit more subtle (the corresponding statement for circles is not correct).
2. 2.▲
   by kasdkashdkas 11y ago

   No, OP is correct; he spoke about an isotropic normal distribution (randn as opposed to rand).
3. 3.▲
   by kasdkashdkas 11y ago

   Since the box is anisotropic, this would not give the uniform distribution (it's more likely to draw a "diagonal" direction than a coordinate axis direction).
4. 4.▲
   by kasdkashdkas 11y ago

   They are only individually distributed uniformly in [-1,1], not jointly.
5. 5.▲
   by kasdkashdkas 11y ago

   Near the poles the surface becomes very flat and therefore there is as much surface area in a slice of constant height than anywhere else. Archimedes was a clever fella :-)