{"id":"W4286928984","doi":"10.58997/ejde.2021.83","title":"Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities","year":2021,"lang":"en","type":"article","venue":"Electronic Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Université du Québec","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multiplicity (mathematics); Gravitational singularity; Invariant (physics); Mathematics; Pure mathematics; Mathematical analysis; Mathematical physics","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":[0.0002084299,0.0003799756,0.0003284505,0.000902598,0.001248759,0.001149416,0.0005682013,0.0005911227,0.004496847],"category_scores_gemma":[0.0007135695,0.0001811173,0.0004037744,0.0006822681,0.00184491,0.0008646963,0.001227417,0.0008284446,0.000383226],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001343551,"about_ca_system_score_gemma":0.0005891063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001790289,"about_ca_topic_score_gemma":0.002029667,"domain_scores_codex":[0.9996784,0.00004274623,0.00001598355,0.00004088664,0.000117017,0.0001050085],"domain_scores_gemma":[0.9997565,0.00003969432,0.00007229965,0.00003933372,0.00004491418,0.00004714374],"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":[0.0001343931,0.00004656001,0.001975654,0.00008431973,0.00001930962,0.001032129,0.000373275,0.01470801,0.007736352,0.9615595,0.001286398,0.01104413],"study_design_scores_gemma":[0.0003083651,0.0001526748,0.004050619,0.00007032911,0.0000373721,0.001686251,0.001451745,0.09744091,0.01247352,0.8664848,0.01570666,0.0001368442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9511905,0.0001733123,0.01470924,0.0002365837,0.00003186994,0.0000285196,0.0001556438,0.0001080116,0.03336637],"genre_scores_gemma":[0.9920138,0.0000743636,0.004670078,0.00002783544,0.00001209676,0.00001999908,0.0001542733,0.00001404415,0.003013727],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004496847,"threshold_uncertainty_score":0.01504344,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02512831825593637,"score_gpt":0.2705913969034926,"score_spread":0.2454630786475562,"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."}}