{"id":"W4297199277","doi":"10.1007/s12346-022-00659-x","title":"On Families QSL $$_{\\ge 2}$$ of Quadratic Systems with Invariant Lines of Total Multiplicity At Least 2","year":2022,"lang":"en","type":"article","venue":"Qualitative Theory of Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Invariant (physics); Multiplicity (mathematics); Quadratic equation; Mathematics; Quadratic differential; Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Mathematical physics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001191703,0.0008444231,0.0007993261,0.002797875,0.002594497,0.00154704,0.0008054663,0.0009107114,0.01597752],"category_scores_gemma":[0.004293966,0.0005886893,0.001326748,0.001165914,0.003091146,0.003585907,0.002029246,0.001693939,0.001636346],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001512611,"about_ca_system_score_gemma":0.000648907,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00165021,"about_ca_topic_score_gemma":0.001295102,"domain_scores_codex":[0.998426,0.0003990338,0.00007422707,0.0003354779,0.0003747708,0.0003904438],"domain_scores_gemma":[0.9952269,0.002712126,0.0006576162,0.0003300612,0.0006569664,0.0004164672],"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":[0.0001595869,0.0000509001,0.003854075,0.0005027575,0.00004264226,0.0007647005,0.00105871,0.0113883,0.006781626,0.9451221,0.00779423,0.02248036],"study_design_scores_gemma":[0.00006888027,0.0001716364,0.005769522,0.0001900496,0.00003325602,0.0009585317,0.0006339515,0.06351635,0.003023845,0.910063,0.01546862,0.0001022838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.619393,0.006042288,0.2366038,0.002847296,0.0001941672,0.0001644497,0.002755464,0.0007714691,0.131228],"genre_scores_gemma":[0.9422404,0.00284566,0.03045014,0.0005812793,0.0004904264,0.000237775,0.003250786,0.0002235087,0.01968002],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01597752,"threshold_uncertainty_score":0.05345017,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04861902408039832,"score_gpt":0.3335809398638794,"score_spread":0.2849619157834811,"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."}}