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  1. As with the unweighted problem, the weighted problem may be solved in linear time in any space of bounded dimension, using approaches closely related to bounded dimension linear programming algorithms, although slower algorithms are again frequent in the literature.
  2. The standard dynamic programming algorithm for free energy minimization scales O ( N 3 ) in time ( N is the number of nucleotides in the sequence ), while the Rivas and Eddy algorithm scales O ( N 6 ) in time.
  3. The application of computer control has allowed the crematory to be more automated, in that temperature and oxygen sensors within the unit along with pre-programmed algorithms based upon the weight of the deceased allow the unit to operate with less user intervention.
  4. The size of the maximum independent set is the largest value stored at the root node, and the maximum independent set itself can be found ( as is standard in dynamic programming algorithms ) by backtracking through these stored values starting from this largest value.
  5. The disadvantage of such models is that dynamic-programming algorithms for training them have an O ( N ^ K \, T ) running time, for K adjacent states and T total observations ( i . e . a length-T Markov chain ).
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