Nathan Reed
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 Aug3 comment How to numerically solve a complex equation? This is impossible to answer without being more specific. Numerical root-finding (which is what this is) is a huge topic. Jul8 comment Maximum number of vertices in intersection of triangle with box @HaoYe That's a good point. Would you mind posting that as an answer? Jul8 comment Maximum number of vertices in intersection of triangle with box @HaoYe By "0 vertices" I just mean that the intersection could be empty. No, I don't mean original vertices of the triangle and box, I just mean the corners of the polygon created by intersecting them. Feb11 comment Intersection between a cylinder and an axis-aligned bounding box I think you could construct $P$ more simply as $P = 1 - \vec v \vec v^T$. The matrix $\vec v \vec v^T$ (the outer product of $\vec v$ with itself) maps a vector to its projection on $\vec v$, assuming that $\vec v$ is unit length. Then $1 - \vec v \vec v^T$ projects onto the plane perpendicular to $\vec v$. Jun30 comment Euler's formula for triangle mesh @BRabbit27 Fixed. Apr4 comment Least square solution based on the pseudoinverse solved efficiently with singular value decomposition You can start by reading the Wikipedia article on SVD. Calculating the Moore-Penrose pseudoinverse is the first thing listed in the applications section. Jan24 comment $E=A\cup B$ measurable $\Rightarrow$ $A,\ B$ are measurable. What's the actual question? Jan24 comment Reflection around a plane, parallel to a line That sounds like it would work to me. Oct26 comment What's the difference between hyperreal and surreal numbers? Interesting. Could you elaborate on the embedding? I'm just trying to get some intuition for this, not formal details. Are there "typical" or "natural" embeddings, and given such an embedding, where would the extra surreals be? For instance, is it somewhat analogous to how the rationals are embedded in the reals, where the rationals are dense but there are extra real numbers "between" the rationals? Jul18 comment Can this function be rewritten to improve numerical stability? Very interesting! That is some deep magic right there.