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}{lll} minimize & \sum_{j \in N} x_{j} \\ s u b j e c t t o & \sum_{j \in N} a_{i j} x_{j} \geq d_{i} & f o r a l l i \in M \\ x_{j} i n t e g e r, \geq 0 & f o r a l l j \in N \end{array}

MathML rendered with MathJax

\begin{array}{lll} minimize & \sum_{j \in N} x_{j} \\ s u b j e c t t o & \sum_{j \in N} a_{i j} x_{j} \geq d_{i} & f o r a l l i \in M \\ x_{j} i n t e g e r, \geq 0 & f o r a l l j \in N \end{array}

Math as LaTeX Source

\[ \begin{array}{lll} \displaystyle \mathop {\textrm{minimize}}& \sum _{j \in N} x_ j & \\ \mr{subject\ to} & \sum _{j \in N} a_{ij} x_ j \geq d_ i & \mr{for\ all\ } i \in M \\ & x_ j\ \mr{integer},\ \geq 0 & \mr{for\ all\ } j \in N \\ \end{array} \]