145 reputation
4
bio website sadakatsu.com
location Westernport, MD
age 28
visits member for 2 years, 8 months
seen May 17 at 4:42

Sep
11
comment General Formula for Volume of Spherical Triangle
I scanned the paper again and caught the dot product formula written using this notation. $\vec{a}$ is a vector and $a$ is that vector's magnitude.
Sep
11
comment General Formula for Volume of Spherical Triangle
@achillehui I have now read that paper; it's over my head. If I understand their formula correctly, the numerator is the absolute value of the dot product of the first vector with the cross product of the other two, the letters without the vector bars are the great-circle arcs forming the triangle, and then I can use this $\Omega$ to calculate the volume I want by $\frac{\Omega}{3}(r^3-(r-1)^3)$?
Sep
10
asked General Formula for Volume of Spherical Triangle
Aug
8
accepted What does “the orthogonal basis vectors spanning the subspace perpendicular to vector $\vec{e}_1$” mean?
Aug
8
revised What does “the orthogonal basis vectors spanning the subspace perpendicular to vector $\vec{e}_1$” mean?
figured it out myself... I think
Aug
8
revised What does “the orthogonal basis vectors spanning the subspace perpendicular to vector $\vec{e}_1$” mean?
added 6 characters in body
Aug
7
awarded  Editor
Aug
7
revised What does “the orthogonal basis vectors spanning the subspace perpendicular to vector $\vec{e}_1$” mean?
refining question
Aug
6
asked What does “the orthogonal basis vectors spanning the subspace perpendicular to vector $\vec{e}_1$” mean?
Jan
26
awarded  Scholar
Jan
26
accepted How do I calculate the unique k-dimensional hypersphere's center from k+1 points?
Jan
26
comment How do I calculate the unique k-dimensional hypersphere's center from k+1 points?
Your answer helped me to figure out the equations on the original page I found. Are your equations the same as those on that page, or am I mistaken?
Jan
26
awarded  Supporter
Jan
26
comment How do I calculate the unique k-dimensional hypersphere's center from k+1 points?
After some more research, I realized that the equations on that page are using Cramer's rule... those are the determinants of the matrices, not the matrices themselves.
Jan
26
asked How do I calculate the unique k-dimensional hypersphere's center from k+1 points?
Oct
31
awarded  Student
Oct
31
asked How do I use k-dimensional planes as bounds for generating k-dimensional vectors?