Alternative Equation Formats

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MathML

minimize ∑ a ∈ A ∑ d ∈ D | f a d | subject to c a d x x a + c a d y y a + c a d z x a y a + c a d u u a + c a d − w a d = f a d a ∈ A ,   d ∈ D (CashFlowDefCon) ∑ a ∈ A ( f a d + w a d ) ≤ B d d ∈ D (BudgetCon) | { d ∈ D | f a d < 0 } | ≤ K a a ∈ A (CashOutLimitCon) x a , y a ∈ [ 0 , 1 ] a ∈ A u a ≥ 0 a ∈ A f a d ≥ − w a d a ∈ A ,   d ∈ D

MathML rendered with MathJax

minimize ∑ a ∈ A ∑ d ∈ D | f a d | subject to c a d x x a + c a d y y a + c a d z x a y a + c a d u u a + c a d − w a d = f a d a ∈ A ,   d ∈ D (CashFlowDefCon) ∑ a ∈ A ( f a d + w a d ) ≤ B d d ∈ D (BudgetCon) | { d ∈ D | f a d < 0 } | ≤ K a a ∈ A (CashOutLimitCon) x a , y a ∈ [ 0 , 1 ] a ∈ A u a ≥ 0 a ∈ A f a d ≥ − w a d a ∈ A ,   d ∈ D

Math as LaTeX Source

\begin{align*} & \text {minimize} & \sum _{a \in A} \sum _{d \in D} | f_{ad} | \\ & \text {subject to} & c^ x_{ad} x_{a} + c^ y_{ad} y_{a} + \\ & & c^ z_{ad} x_{a} y_{a} + c^{u}_{ad} u_{a} + c_{ad} - w_{ad} & = f_{ad} & & a \in A,\ d \in D & & \text {(CashFlowDefCon)}\\ & & \sum _{a \in A} \left(f_{ad} + w_{ad}\right) & \leq B_ d & & d \in D & & \text {(BudgetCon)}\\ & & | \{ d \in D \; | \; f_{ad} < 0\} | & \leq K_ a & & a \in A & & \text {(CashOutLimitCon)}\\ & & x_{a}, y_{a} & \in [0,1] & & a \in A \\ & & u_{a} & \geq 0 & & a \in A \\ & & f_{ad} & \geq -w_{ad} & & a \in A,\ d \in D \end{align*}