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Results tagged with inequalities
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user 119995
for questions involving inequalities, upper and lower bounds.
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Inverting a linear system of inequalities
Suppose I have a set of inequalities $l \leq Ax \leq r$ for vectors $l,r$ and matrix $A$. I am trying to bound $x$ using a function of $l,r: f(l) \leq x \leq g(r)$ for some $f,g$. … I have a set of three inequalities:
$$m\leq m' \leq p+m$$
$$m \leq m'-z' \leq p+m$$
$$2p+2m+z \leq 2m'+p'\leq 2p+2m+z$$
Or in matrix format
$
\begin{bmatrix}
m \\
m \\
2m+2p+z \\
\end{bmatrix}
\leq
\begin …
- 662