{"id":"W1893450748","doi":"10.1090/s0002-9939-02-06549-8","title":"New identities of differential operators from orbital integrals on GL(l,𝐂)","year":2002,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Differential (mechanical device); Differential operator; Mathematics; Pure mathematics; Orbital elements; Linear differential equation; Mathematical analysis; Differential equation; Algebra over a field; Physics; Quantum mechanics","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":[0.0001248086,0.0002490893,0.0007356553,0.00003447305,0.0000837752,0.00003731329,0.0006071816,0.00006361085,0.0007706914],"category_scores_gemma":[0.0007703392,0.0001567966,0.0005606053,0.0004773638,0.0005315203,0.0001521632,0.000240392,0.0002647766,0.00002471481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000433714,"about_ca_system_score_gemma":0.00001093175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001438163,"about_ca_topic_score_gemma":2.834806e-7,"domain_scores_codex":[0.9982858,0.00000793778,0.0005833466,0.0002508811,0.0005939117,0.0002781001],"domain_scores_gemma":[0.9984041,0.0004701429,0.000661565,0.0002234412,0.000132239,0.0001085447],"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":[0.00007749038,0.001203305,0.00269119,0.0008537826,0.0007358669,5.872652e-7,0.01163676,0.000001528244,0.03601396,0.8806396,0.06135918,0.004786757],"study_design_scores_gemma":[0.0003783423,0.0001804495,0.0005790849,0.0003006955,0.0001417913,0.000003751261,0.004529697,0.0003739831,0.0524336,0.9408202,0.00002290648,0.0002355614],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9936565,0.00003206075,0.002299189,0.0003201409,0.0000622036,0.0002142155,0.00002356193,0.00005839839,0.003333794],"genre_scores_gemma":[0.9613253,0.0000241585,0.03727636,0.0001019441,0.000119497,0.000009457694,5.110203e-7,0.00003705729,0.001105754],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06133628,"threshold_uncertainty_score":0.843853,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02414632957909109,"score_gpt":0.2754022158134797,"score_spread":0.2512558862343887,"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."}}