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They assumed the problem to have been solved and then, by investigating the properties of this solution, worked back to find an equivalent problem that could be solved on the basis of the givens.
To obtain the formally correct solution of the original problem, then, geometers reversed the procedure: first the data were used to solve the equivalent problem derived in the analysis, and, from the solution obtained, the original problem was then solved.
Equivalent problem is considered.
The system of governing equations is transformed into an equivalent problem, as proposed by Peaceman (1977).
We analyze this situation by means of an equivalent problem: the wedding banquet problem (WBP).
For solving problem (P), we will propose an equivalent problem (P).
Moreover, he discussed descent methods for solving the equivalent problem (see Lemma 5 in Section 2).
We rewrite the SRPC problem to an equivalent problem by applying the active constraint method.
The next section describes the equivalent problem and its decomposition technique.
System (7) originates from the equivalent problem obtained by (5) after squaring the cost function.
We fix w ∈ ℜ m and consider the equivalent problem: ( P ¯ ) min f ( x ) s.t.
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