We could not compare with the Matlab inbuilt solvers since they cannot solve index-2 systems.
The Problem solving Index, was the proportion of correct answers given to direct questions about cartoons.
Liquid liquid extraction modeling leads to solve an index one DAE system.
Although it manages to solve the index quantification problem and eliminate the subjective impact, the weight distribution influences the final results directly [9].
The test-retest reliabilities (Pearson r) for SAT indices were all p < 0.05: Propositions Index (r =.85), Pertinence Index (r =.87), Salience Index (r =.82), ToM-Cognitive Index (r =.88), ToM-Affective Index (r =.73), Animation Index (r =.79), Person Index (r =.80) and Problem-Solving Index (r =.76).
The exceptions were significant correlations between the Problem-Solving Index and the number of categories of WCST completed (r =.225, p =.014); the Proposition Index and verbal fluency (r =.311, p =.001), and the Salience Index and verbal fluency (r =.240, p =.009).
Combining (3.2) with (3.3), we solve the indices p = 4 3 and p ′ = 4.
To solve higher-index DAEs, one needs to use multistep methods such as Backward difference formulas (BDFs).
So specifying that everybody must have the same bundle of goods does not seem to be a satisfactory way of solving the index problem.
One way of solving the index problem in the strict equality case is to specify that everyone should have the same bundle of material goods and services rather than the same level (so everyone would have 4 oranges, 6 apples, 1 bike, etc).
We will demonstrate that direct transcription methods, which use a different approach, can successfully solve some higher index equality constrained optimal control problems and that the role of the index needs reinterpretation when using direct transcription methods.
