{"id":"W4402118725","doi":"10.1007/s00028-024-01003-3","title":"On the Weierstraß form of infinite-dimensional differential algebraic equations","year":2024,"lang":"en","type":"article","venue":"Journal of Evolution Equations","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Bergische Universität Wuppertal","keywords":"Mathematics; Resolvent; Differential algebraic geometry; Differential algebraic equation; Algebraic number; Pure mathematics; Differential equation; Algebraic differential equation; Hamiltonian (control theory); Class (philosophy); Algebraic equation; Mathematical analysis; Ordinary differential equation; Nonlinear system","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001103667,0.0007814699,0.0006650127,0.001268089,0.0007976089,0.001491648,0.0005469856,0.0008370868,0.002310573],"category_scores_gemma":[0.003509542,0.0002809999,0.0006318378,0.0008612687,0.002309445,0.002458127,0.001107227,0.001309993,0.0003576073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000533496,"about_ca_system_score_gemma":0.0004530928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007166294,"about_ca_topic_score_gemma":0.0004472643,"domain_scores_codex":[0.9996865,0.000116788,0.0000191583,0.00005707776,0.00008420595,0.00003621459],"domain_scores_gemma":[0.9985844,0.000851777,0.0001925449,0.00006611767,0.0002044552,0.0001006878],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002718492,0.00002280245,0.0003330244,0.00005845254,0.00001081972,0.0002112921,0.0004507185,0.0123493,0.003987252,0.9773401,0.0003341535,0.004874809],"study_design_scores_gemma":[0.00001780535,0.00006173292,0.0003070283,0.0000281612,0.000006446493,0.0002144259,0.0000972081,0.126726,0.0009226996,0.8702884,0.0013091,0.00002103536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.4901076,0.003057412,0.4595321,0.001502356,0.0001889469,0.00007056464,0.0002217811,0.0001236936,0.04519555],"genre_scores_gemma":[0.9570585,0.001577192,0.02786196,0.000129626,0.0002930998,0.00007568023,0.0002020716,0.00003561678,0.01276622],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.002310573,"threshold_uncertainty_score":0.00772965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0127401568478287,"score_gpt":0.2197250627613575,"score_spread":0.2069849059135288,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}