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Questions tagged [simplex]

For questions on the $n$-simplex, an $n$-dimensional polytope with $n+1$ points.

A Simplex is a higher dimensional analogue of a triangle or tetrahedron. It represents the simplest possible polytope made with line segments in any given dimension. The number of faces in a simplex can be determined using Pascal's triangle.

Below is an image of Simplex's of the first, second, third, and fourth dimensions from Wikipedia:

enter image description here

Reference:

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standard n-simplex

We know that a n-simplex is a convex hull of n+1 affinely independents points in $\mathbb{R}^n$, i,e, let $ x_0,x_1, \ldots ,x_n $ affinely independents points in $\mathbb{R}^n$ then the n-simplex determinated is : $$ C=\lbrace \lambda_0 x_0 +…
user411479
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Is simplex method for minimize or maximise problem?

ILP: $max$ $3x-2y+z$, $st$ $x+5y-z <= 4$, $2x-2y+4z <= 6$ $x,y,z >= 0$ I was trying the simplex method for a maximisation problem, and I got the solution $x=(19/6,1/6,0)$ and cost in tableau$=(-55/6)$. Then I converted the objective function from…
Mo Farouk
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