{"id":"W2950229279","doi":"10.71781/15508","title":"Classification of separable superintegrable systems of order four in two dimensional Euclidean space and algebras of integrals of motion in one dimension","year":2019,"lang":"en","type":"dissertation","venue":"Open MIND","topic":"Optical and Acousto-Optic Technologies","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dimension (graph theory); Separable space; Euclidean space; Motion (physics); Mathematics; Order (exchange); Space (punctuation); Pure mathematics; Euclidean geometry; Integrable system; Mathematical analysis; Physics; Classical mechanics; Geometry; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002525684,0.0002875956,0.0004063412,0.000879307,0.0007496189,0.001325602,0.0005773297,0.0004766451,0.004830852],"category_scores_gemma":[0.0005196604,0.0001969764,0.000464918,0.0004537063,0.001678886,0.001962848,0.0009562051,0.0005561156,0.0002623919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008071828,"about_ca_system_score_gemma":0.0005378649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001124761,"about_ca_topic_score_gemma":0.001222422,"domain_scores_codex":[0.9998211,0.00002138199,0.00001750387,0.00002902987,0.00006762211,0.00004339403],"domain_scores_gemma":[0.9996808,0.00004914829,0.00009132453,0.00003841686,0.00006595498,0.00007451815],"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":[0.00002435323,0.00001916991,0.001136967,0.00006756579,0.000008687586,0.0001677331,0.0005795921,0.003488105,0.004865512,0.9849234,0.0003521496,0.004366872],"study_design_scores_gemma":[0.00004102323,0.00007798477,0.002976819,0.00003033811,0.00001275846,0.0004174695,0.0006629337,0.05107483,0.003384919,0.9346312,0.006643653,0.00004614711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.877856,0.0006885472,0.08938542,0.000534041,0.00006944398,0.0000678022,0.0001532517,0.0001084928,0.03113694],"genre_scores_gemma":[0.9656963,0.0003750114,0.02303072,0.00005399198,0.00004464791,0.00004370953,0.0001686705,0.00002886589,0.01055804],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004830852,"threshold_uncertainty_score":0.01616079,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03195760340862217,"score_gpt":0.3017813289196334,"score_spread":0.2698237255110112,"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."}}