{"id":"W1971606922","doi":"10.1145/1940475.1940505","title":"Invariants and symbolic calculations in the theory of quadratic differential systems","year":2011,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Symbolic computation; Quadratic equation; Quadratic differential; Algebra over a field; Class (philosophy); Differential (mechanical device); Computation; Mathematics; Polynomial; Space (punctuation); Computer science; Theoretical computer science; Applied mathematics; Pure mathematics; Algorithm; Mathematical analysis; Artificial intelligence","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005476237,0.0001298147,0.000289809,0.0001740976,0.0001120787,0.00003511114,0.001221895,0.00007551286,0.0000136303],"category_scores_gemma":[0.0002469006,0.00009612881,0.00004421178,0.0003521571,0.0001812066,0.0001229351,0.0005310697,0.0002171945,0.000003220922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002704796,"about_ca_system_score_gemma":0.00002106312,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003042455,"about_ca_topic_score_gemma":0.0004104241,"domain_scores_codex":[0.9980397,0.0008510277,0.0006474684,0.0001590599,0.0001469993,0.000155769],"domain_scores_gemma":[0.9954922,0.002195745,0.0001821113,0.002045695,0.00005332692,0.00003090593],"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":[0.000006186831,0.0003974524,0.004911785,0.00004860747,0.00002215007,7.143869e-7,0.005488005,0.00002362818,0.00002834969,0.9864667,0.00001133959,0.002595104],"study_design_scores_gemma":[0.000615626,0.00004722328,0.1054876,0.0002246911,0.00003962179,0.00001272242,0.0008726419,0.10906,0.000005259523,0.7834405,0.00001826922,0.0001758265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5820331,0.0002590384,0.4162145,0.0001195696,0.0001066172,0.0006214426,0.000008950398,0.00002811169,0.0006087033],"genre_scores_gemma":[0.967873,0.00005381538,0.0318796,0.00002296718,0.00002050879,0.0001122646,0.00001488372,0.00001244692,0.0000105186],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3858399,"threshold_uncertainty_score":0.3920019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1364744079541299,"score_gpt":0.331077455516309,"score_spread":0.1946030475621791,"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."}}