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In 1998 Isaac Chuang of the Los Alamos National Laboratory, Neil Gershenfeld of the Massachusetts Institute of Technology MITT), and Mark Kubinec of the University of California at Berkeley created the first quantum computer (2-qubit) that could be loaded with data and output a solution.

Then ETA will output a solution x.

Let M and q be input to our STP algorithm, then STP will output a solution x k.

In many occasions, it is also required to output a solution that corresponds to the computed property, e.g. a minimum energy secondary structure in the case of the RNA folding problem, or a maximum weight parse-tree in the case of the WCFG Parsing problem.

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And then combining the high efficient state dependent parameter (SDP) method for the calculation of the conditional moments of the model output, a SDP solution is established to solve two moment-independent importance measures.

The automated molecular replacement program BALBES calculated a number of molecular replacement models and output a potential solution utilizing 3RR1 (31% identical sequence) as the search model.

Theorems 6 and 7 state that Algorithm 5 can always stop and output an approximate solution after a finite number of iterations.

Over all the explored datasets simulated as described above, Algorithm MinNADref was able to output an optimal solution, i.e. a refinement with the minimum number of NADs.

Interestingly, we found that the C1-FFL architecture with a combinatorial logic type XOR (i.e., the activators inhibit each other) and a weak activation from the intermediary gene to the output is also a solution.

Marxan was run 1000 times to produce two outputs, a "best solution", which is the run that best achieved the objectives, and "selection frequency" a measurement of how frequently an area/planning unit was selected across all 1000 runs.

Our algorithm can be easily extended to output all solutions within a specific energetic cutoff from the GMEC solution in gap-free sorted order, using the same strategy as in OSPREY (Chen et al., 2009; Gainza et al., 2013).

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