3 problems

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Conjecture on the degree-of-freedom interpretation of the DAE signature value
Degree-of-freedom conjecture. A DAE formulation friendly to structural analysis should have a reasonable but never overestimated value $\operatorname{Val}(\boldsymbol{\Sigma})$ tha…
Conjectureopendifferential-algebraic-equations structural-analysisarXiv posted 3 days ago
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Conjecture that decreasing the signature value improves DAE formulations for structural analysis
Signature-decrease conjecture. Based on experience, such a decrease tends to give a better formulation of a DAE from the perspective of structural analysis.
Conjectureopendifferential-algebraic-equations structural-analysisarXiv posted 3 days ago
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Conversion methods conjecture for improving structural analysis of differential-algebraic equations
Let a differential-algebraic equation system be reformulated by one of the conversion methods described in the paper, and suppose the conversion decreases the value of its signatur…
Conjectureopendifferential-algebraic-equations structural-analysisarXiv posted 3 days ago

Conjecture on the degree-of-freedom interpretation of the DAE signature value