| 1. | The algorithm starts with a pair of primal and dual variables.
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| 2. | The dual variables provide the market clearing prices.
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| 3. | Only recently have researchers found robust means to obtain dual variables from integer programs.
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| 4. | Each constraint in an dual variable.
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| 5. | These combinatorial auctions are cleared as bid, rather than at prices based on dual variables.
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| 6. | It featured a 2.4 L DOHC 16V turbocharged I4 with dual variable valve timing ( DVVT ).
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| 7. | The constraints of the dual problem forbid two dual variables to take values that correspond to two incompatible tuples.
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| 8. | More precisely, the dual graph contains a node for each dual variable and an edge for every constraint between them.
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| 9. | The Penalty method doesn't use dual variables but rather removes the constraints and instead penalizes deviations from the constraint.
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| 10. | The engines have been updated with dual variable valve timing and the transmission has one more forward for a total of 6.
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