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May
31
comment How many edges is sufficient to check to prove polyhedron convexity?
Do you meet the challenge ATM?
May
14
revised Check if ray intersects internals of $D$-facet
deleted 41 characters in body
May
13
accepted Check if ray intersects internals of $D$-facet
May
13
answered Check if ray intersects internals of $D$-facet
Apr
30
revised Check if ray intersects internals of $D$-facet
edited body
Apr
28
revised Check if ray intersects internals of $D$-facet
added 1 character in body
Apr
28
revised Check if ray intersects internals of $D$-facet
added 26 characters in body; edited title
Apr
28
asked Check if ray intersects internals of $D$-facet
Apr
10
awarded  Informed
Jan
3
comment Distance between a point and a m-dimensional space in n-dimensional space ($m<n$)
What do you mean by $x_1,\dots,x_n$ in the last formula?
Jan
2
comment Distance between a point and a m-dimensional space in n-dimensional space ($m<n$)
Last LHS should be the $G(v_1,\ldots,v_k)$ not $G(x_1,\ldots,x_k)$, isn't it?
Dec
20
comment Determinant: Alternative Definitions
@Freeze_S maybe). I am not sure what I want to say.
Dec
19
comment Determinant: Alternative Definitions
There is axiomatic definition, but it is not constructive.
Dec
13
comment Distance between a point and a m-dimensional space in n-dimensional space ($m<n$)
What to do if subspace is translated? Say, (m - 1)-dimensional subspace is defined by a set $S:|S| = m \leq n$ of its points?
Aug
18
revised The distribution of barycentric coordinates
added 106 characters in body
Aug
16
revised The distribution of barycentric coordinates
added 18 characters in body
Jul
27
comment uniform random point in triangle
But the generalization of your approach itself is here math.stackexchange.com/questions/563129/… .
Jul
27
comment uniform random point in triangle
One way to get random point inside of simplex $P = \{\mathbf{p}_i\}_{i = 1}^{d + 1}$ is to pick $\mathbf{c} = (c_1, c_2, ..., c_d, c_{d + 1}), c_i \sim U[0;1]$, then $\mathbf{c} \leftarrow -\log(\mathbf{c})$, then $c \leftarrow \displaystyle \frac{\mathbf{c}}{\sum \limits_{i = 1}^{d + 1} c_i}$, then random point is: $\displaystyle \sum \limits_{i = 1}^{d + 1}c_i \cdot \mathbf{p}_i$ (based on Dirichlet distribution and properties of affine transformations).
Jul
27
comment uniform random point in triangle
merico, I think it is wrong. We need spatial uniform distribution.
Jul
25
revised The distribution of barycentric coordinates
added 484 characters in body