{"id":"W3216809256","doi":"10.4236/jamp.2021.911181","title":"The Lynx and Hare Data of 200 Years as the Nonlinear Conserving Interaction Based on Noether’s Conservation Laws and Stability","year":2021,"lang":"en","type":"article","venue":"Journal of Applied Mathematics and Physics","topic":"Animal Ecology and Behavior Studies","field":"Environmental Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Noether's theorem; Conservation law; Nonlinear system; Stability (learning theory); Law; Mathematics; Physics; Mathematical physics; Political science; Computer science; Lagrangian; Mathematical analysis; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003514719,0.00004843927,0.0001052847,0.000002419161,0.0001285394,0.00002228566,0.0000729637,0.00002036968,0.00002617868],"category_scores_gemma":[0.00004159745,0.0000282156,0.00001196338,0.00003538105,0.0001995593,0.00005179786,0.0001258786,0.0001074228,0.00000103766],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008738688,"about_ca_system_score_gemma":0.00001394635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008420442,"about_ca_topic_score_gemma":0.00004705359,"domain_scores_codex":[0.999613,0.00001371786,0.0001574704,0.00006803796,0.0001008837,0.00004689674],"domain_scores_gemma":[0.9992431,0.0003992219,0.0001918533,0.0001299752,0.00001926924,0.00001660659],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.002971578,0.007542401,0.3391773,0.001744783,0.001019762,0.00008827478,0.05589695,0.001111579,0.2110828,0.06535123,0.01233305,0.3016803],"study_design_scores_gemma":[0.005489127,0.001532879,0.5326618,0.0006760116,0.001339067,0.0001904865,0.06438704,0.2139147,0.03556674,0.1230139,0.02024812,0.0009801385],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.998288,0.00003994416,0.0001964244,0.0007242096,0.00002112442,0.00006271309,0.00001067597,0.000001051153,0.0006557953],"genre_scores_gemma":[0.9949508,0.000163255,0.004628624,0.0002249817,0.00001884058,0.000001188619,0.000001891078,0.000003778741,0.000006608438],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3007002,"threshold_uncertainty_score":0.1150599,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05287573706840375,"score_gpt":0.2944876910951285,"score_spread":0.2416119540267247,"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."}}