2,251 reputation
822
bio website
location
age
visits member for 4 years
seen 5 hours ago

Feb
26
comment Are orthogonal spaces exhaustive, i.e. is every vector in either the column space or its orthogonal complement?
@Ethan, Yes, you are correct that the union (in the formal sense) between the two subspaces is zero. I took the sense of your question at the end of the first paragraph "are there some vectors in $R^n$ which are in neither?" I thought that by using the term union, you intended span.
Feb
26
comment Are orthogonal spaces exhaustive, i.e. is every vector in either the column space or its orthogonal complement?
Yes, see this: en.wikipedia.org/wiki/Fundamental_theorem_of_linear_algebra
Feb
25
comment How To Generate Random Points on the Positive Side of a Plane in 3-D
See my second edit.
Feb
25
revised How To Generate Random Points on the Positive Side of a Plane in 3-D
added 594 characters in body
Feb
25
comment How To Generate Random Points on the Positive Side of a Plane in 3-D
This link tells you how to do it.
Feb
22
reviewed No Action Needed Infinite Sum with Combination
Feb
21
reviewed Edit Find the ratio of the area inside the square but outside the circle to the area of the square in the figure.
Feb
21
revised Find the ratio of the area inside the square but outside the circle to the area of the square in the figure.
deleted 18 characters in body
Feb
21
reviewed Approve Conic Sections Question - Hyperbolas & Circles
Feb
21
comment Integral of $e^{\overline{z}}$
Try using separate integrals over the top and bottom halves of the unit circle. I.e. one integral from $0$ to $\pi$ and another from $\pi$ to $2\pi$.
Feb
21
answered How To Generate Random Points on the Positive Side of a Plane in 3-D
Feb
20
reviewed Approve $\ln( \exp( \ln( \exp( 64 )^{1/2} )^{1/2} )^{1/2} )$
Feb
20
reviewed Reject Eigenvector of simple matrix
Feb
20
reviewed Approve $\ln( \exp( \ln( \exp( 64 )^{1/2} )^{1/2} )^{1/2} )$
Feb
20
revised Double integral of a region.
second edit
Feb
20
comment Double integral of a region.
You have the right thought. See my second edit coming shortly....
Feb
20
revised Double integral of a region.
Fixed copy paste error
Feb
20
comment Double integral of a region.
I don't think that your solution for shape 2 is correct. Note that although the shape is symmetrical, there is no indication that the function is.
Feb
20
revised Double integral of a region.
Expanded answer.
Feb
20
answered Double integral of a region.