Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{rcrccll} minimize & c^{⊤} x & + & f^{⊤} y \\ subject to & D x & + & B y & {\geq, =, \leq} & d & (master) \\ A x & {\geq, =, \leq} & b & (subproblem) \\ \underline{x} \leq x \leq \bar{x} \\ \underline{y} \leq y \leq \bar{y} \\ x_{i} \in Z & i \in S_{x} \\ y_{i} \in Z & i \in S_{y} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\[ \begin{array}{rcrccll} \mbox{minimize} & \mathbf{c}^{\top } \mathbf{x} & + & \mathbf{f}^{\top } \mathbf{y} \\ \mbox{subject to} & \mathbf{D x} & + & \mathbf{B y} & \{ \geq , =, \leq \} & \mathbf{d} & \mbox{(master)} \\ & \mathbf{A x} & & & \{ \geq , =, \leq \} & \mathbf{b} & \mbox{(subproblem)} \\ & \mathbf{\underline{x}} \le \mathbf{x} \le \mathbf{\overline{x}} \\ & & & \mathbf{\underline{y}} \le \mathbf{y} \le \mathbf{\overline{y}} \\ & x_ i \in \mathbb {Z} & & & i \in \mathcal{S}_ x \\ & & & y_ i \in \mathbb {Z} & i \in \mathcal{S}_ y \\ \end{array} \]