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Programming a highly parallel machine or chip can then be formulated as finding an efficient embedding of the computation's data dependency into the underlying hardware's communication layout.
Many problems in extremal set theory can be formulated as finding the largest set system (or r -uniform set system) on a fixed ground set X that doesn't contain some forbidden configuration of sets.
The so-called SEP can mathematically be formulated as finding (xin C), (yin Q) satisfying the property: xin C, yin Q,quad Ax=By.
It is well known that the problem (VI) can be formulated as finding the zero points of the operator, where (2.6).
A variety of problems, for example, convex optimization, linear programming, monotone inclusions, and elliptic differential equations can be formulated as finding a zero of maximal monotone operators.
Then SFP can be formulated as finding a point x ˆ with the property x ˆ ∈ C and A x ˆ ∈ Q. (1.1).
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The problem is formulated as finding a min max solution of a value function.
The optimization problem is formulated as finding a micro-structural topology with the maximum bulk or shear modulus under a prescribed volume constraint.
The problem is formulated as finding solutions to a cost function of the algorithm performing mapping and scheduling under strict constraints.
By using the designers' preference, each design objective is aggregated and multi-objective optimization problem is formulated as finding the best compromising solution between structural control performance and control requirements.
The classical variational inequality which is denoted by is formulated as finding such that (1.1).
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