solid cylinder with triangular or tetrahedral elements

TetGenLink

via graphics3d – How can I mesh a solid cylinder with triangular or tetrahedral elements – Mathematica Stack Exchange

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Solve the system of equalities and inequalities

down vote

Backsubstitution is an option often ignored when people use Reduce. In the op’s case it gives:

Reduce[a == b + c && a >= 2 && b <= 10 && c == 5, {a, b, c}, Backsubstitution -> True]
2 <= a <= 15 && b == -5 + a && c == 5

via equation solving – Solve the system of equalities and inequalities – Mathematica Stack Exchange

mathematica graphing a 2 by 2 matrix as an object

is there a possibility to “transform” a matrix (inheriting the input-output “weights”) into a graph object inheriting the matrix relations?

you can convert it to an edge-weighted graph using WeightedAdjacencyGraph. This will give you a complete graph (a Graph expression) in which each vertex is also connected to itself. I am not sure how much sense it makes treat this matrix as a graph, given the full connectivity.

Since you have a fully connected graph, it does not matter in your case, but be aware that WeightedAdjacencyGraph represents missing edges with Infinity, not with zero. This is somewhat annoying because it is inconsistent with WeightedAdjacencyMatrix, which uses 0. While Infinity does make sense in some (not all) applications, it is much more common to see data that uses 0.

 

 

 

via [✓] Convert matrix into “Graph object”? – Online Technical Discussion Groups—Wolfram Community