{"id":"W2949172286","doi":"","title":"A LAPLACE-DUNKL EQUATION ON S2 AND THE BANNAI–ITO ALGEBRA","year":2016,"lang":"en","type":"article","venue":"","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Laplace operator; Laplace transform; Algebra over a field; Pure mathematics; Operator (biology); Tensor product; Quadratic equation; Mathematical analysis; Geometry","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":[0.000195211,0.000115674,0.0001219137,0.00001761141,0.0001060392,0.0000490647,0.00009445938,0.00002197878,0.0004859163],"category_scores_gemma":[0.000005767212,0.00005491136,0.00006420507,0.00005591635,0.0000477796,0.00009506798,0.00004107429,0.00006163038,0.0002990996],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007903384,"about_ca_system_score_gemma":0.00002122001,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003839108,"about_ca_topic_score_gemma":0.000002180859,"domain_scores_codex":[0.9993552,0.00005256161,0.0001212389,0.0001800013,0.000125829,0.0001651699],"domain_scores_gemma":[0.9994299,0.0002157713,0.00005377396,0.0002186796,0.00003086466,0.00005095414],"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":[0.00004378715,0.00003078139,0.0001765563,0.000001421724,0.00002408843,1.842247e-7,0.00006654288,5.573694e-7,0.000765686,0.955165,0.002651,0.04107437],"study_design_scores_gemma":[0.00365427,0.0001282117,0.0004985514,0.00005721442,0.00003167706,5.564811e-7,0.000131694,0.004140699,0.01412929,0.9629039,0.01403662,0.0002873132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7319836,0.0000585034,0.1063077,0.01152742,0.0006055787,0.0006902517,0.00005299384,0.00008881591,0.1486851],"genre_scores_gemma":[0.9955925,0.0000061619,0.00005389271,0.0003167145,0.0003707358,0.00002708486,0.000004019841,0.00001403098,0.003614847],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2636089,"threshold_uncertainty_score":0.5320443,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01286418410033211,"score_gpt":0.2275871091639421,"score_spread":0.21472292506361,"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."}}