Editing Multidisciplinary design optimization (section)

===Standard form===
Once the design variables, constraints, objectives, and the relationships between them have been chosen, the problem can be expressed in the following form:

: find <math>\mathbf{x}</math> that minimizes <math>J(\mathbf{x})</math> subject to <math>\mathbf{g}(\mathbf{x})\leq\mathbf{0} </math>, <math>\mathbf{h}(\mathbf{x}) = \mathbf{0} </math> and <math>\mathbf{x}_{lb}\leq \mathbf{x} \leq \mathbf{x}_{ub} </math>

where <math>J</math> is an objective, <math>\mathbf{x}</math> is a [[Vector (geometric)|vector]] of design variables, <math>\mathbf{g}</math> is a vector of inequality constraints, <math>\mathbf{h}</math> is a vector of equality constraints, and <math>\mathbf{x}_{lb}</math> and <math>\mathbf{x}_{ub}</math> are vectors of lower and upper bounds on the design variables. Maximization problems can be converted to minimization problems by multiplying the objective by -1. Constraints can be reversed in a similar manner. Equality constraints can be replaced by two inequality constraints.