0
votes
1answer
33 views

Polyhedron's Representations and spanning the Euclidian space

Let's say you have to different representations of the same polyhedron $P\neq \emptyset$: $$P=\{x\in \mathbb{R}^n\;|\;h_i^Tx\leq c_i, i=1,...,k \} =\{x\in \mathbb{R}^n\;|\;g_j^Tx\leq d_i, j=1,...,l ...
2
votes
2answers
293 views

Exploring underdetermined linear system with non-negative solution

I haven't had much luck searching for this specific problems. Any pointers would be greatly appreciated. I have an underdetermined system where $ A $ and $ b $ are known. $ x $ is a real vector with ...
0
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0answers
326 views

3D Mathematics Projecting One Vector onto Another

I have a Vector function which takes two Vectors and and attempts to "project" these vectors together. The method used is to separate the larger of the two vectors (the larger value calculated via ...
2
votes
1answer
84 views

Determine which of 8 points make up the 4 corners of a cube's face

I am working on a game program. I have an array of 8 points in 3d space (X,Y,Z) that are the 8 corners of a cube whose W=H=D. The 8 points are listed in no particular order. For the sake of ...