{"id":"W2560758271","doi":"10.1007/978-981-10-2636-2_45","title":"Toeplitz Operators with Discontinuous Symbols on the Sphere","year":2016,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Toeplitz matrix; Pure mathematics; Mathematics; Levinson recursion; Algebra over a field","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001219399,0.001076516,0.001282675,0.0001854,0.0002660029,0.0002777724,0.0009637948,0.0004902019,0.001211493],"category_scores_gemma":[0.0007030739,0.0006028787,0.0001362662,0.00008264888,0.0005417098,0.0001260475,0.0002040938,0.001240036,0.0004976143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002843955,"about_ca_system_score_gemma":0.0002293118,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002665689,"about_ca_topic_score_gemma":0.0000434597,"domain_scores_codex":[0.9961962,0.00002018876,0.001180128,0.0008063004,0.001049675,0.0007475315],"domain_scores_gemma":[0.996236,0.001535782,0.0008040388,0.0008005999,0.0004339769,0.0001895781],"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":[0.00004528495,0.0001201938,0.0000263369,0.0008341964,0.0001666173,0.0001096657,0.001940389,3.63445e-7,0.00002962055,0.9907221,0.005077259,0.0009280148],"study_design_scores_gemma":[0.0005832103,0.0002590927,0.000006585534,0.004735012,0.0002297584,0.00004176903,0.0007453751,0.00004566325,0.0002130181,0.9706213,0.02146745,0.001051764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.005701763,0.0001177419,0.008308973,0.0003292351,0.000254262,0.002446204,0.0006455983,0.000244771,0.9819515],"genre_scores_gemma":[0.01770515,0.0004151357,0.1451533,0.0004246587,0.0007745812,0.0003322417,0.00001873726,0.001176335,0.8339999],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1479516,"threshold_uncertainty_score":0.9997016,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02926652200076777,"score_gpt":0.2586853100661388,"score_spread":0.229418788065371,"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."}}