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Alternative Equation Formats

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MathML

minimize c 1 x 1 + c 2 x 2 + ⋯ + c κ x κ + f ⊤ y subject to D 1 x 1 + D 2 x 2 + ⋯ + D κ x κ + B y { ≥ , = , ≤ } d A 1 x 1 { ≥ , = , ≤ } b 1 A 2 x 2 { ≥ , = , ≤ } b 2 ⋱ { ≥ , = , ≤ } ⋮ A κ x κ { ≥ , = , ≤ } b κ x _ ≤ x ≤ x ¯ y _ ≤ y ≤ y ¯ x i ∈ Z i ∈ S x y i ∈ Z i ∈ S y

MathML rendered with MathJax

minimize c 1 x 1 + c 2 x 2 + ⋯ + c κ x κ + f ⊤ y subject to D 1 x 1 + D 2 x 2 + ⋯ + D κ x κ + B y { ≥ , = , ≤ } d A 1 x 1 { ≥ , = , ≤ } b 1 A 2 x 2 { ≥ , = , ≤ } b 2 ⋱ { ≥ , = , ≤ } ⋮ A κ x κ { ≥ , = , ≤ } b κ x _ ≤ x ≤ x ¯ y _ ≤ y ≤ y ¯ x i ∈ Z i ∈ S x y i ∈ Z i ∈ S y

Math as LaTeX Source

\[ \begin{array}{rccccccccccl} \mbox{minimize} & {\mathbf{c}^1} \mathbf{x}^1 & + & {\mathbf{c}}^2 \mathbf{x}^2 & + & \cdots & + & {\mathbf{c}^{\kappa }} \mathbf{x}^{\kappa } & + & \mathbf{f}^{\top } y \\ \mbox{subject to} & \mathbf{D}^1 \mathbf{x}^1 & + & \mathbf{D}^2 \mathbf{x}^2 & + & \cdots & + & \mathbf{D}^{\kappa } \mathbf{x}^{\kappa } & + & \mathbf{B} \mathbf{y} & \{ \geq , =, \leq \} & \mathbf{d} \\ & \mathbf{A}^1 \mathbf{x}^1 & & & & & & & & & \{ \geq , =, \leq \} & \mathbf{b}^1 \\ & & & \mathbf{A}^2 \mathbf{x}^2 & & & & & & & \{ \geq , =, \leq \} & \mathbf{b}^2 \\ & & & & & \ddots & & & & & \{ \geq , =, \leq \} & \vdots \\ & & & & & & & \mathbf{A}^{\kappa } \mathbf{x}^{\kappa } & & & \{ \geq , =, \leq \} & \mathbf{b}^{\kappa } \\ & & & & & \mathbf{\underline{x}} \le \mathbf{x} \le \mathbf{\overline{x}} \\ & & & & & & & & & \mathbf{\underline{y}} \le \mathbf{y} \le \mathbf{\overline{y}} \\ & & & & & x_ i \in \mathbb {Z} & & & & & i \in \mathcal{S}_ x \\ & & & & & & & & & y_ i \in \mathbb {Z} & i \in \mathcal{S}_ y \\ \end{array} \]
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