{"id":"W1569792471","doi":"10.4153/cmb-2004-041-4","title":"A Hopf Type Lemma and a CR Type Inversion for the Generalized Greiner Operator","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Science Foundation of Shaanxi Province; National Natural Science Foundation of China","keywords":"Mathematics; Lemma (botany); Type (biology); Pure mathematics; Operator (biology); Botany; Chemistry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.001397181,0.0004831601,0.00055591,0.001638114,0.001038867,0.002137669,0.0007125153,0.0009472755,0.01001662],"category_scores_gemma":[0.002618259,0.0002672814,0.0009323308,0.0006879399,0.002633359,0.003505872,0.002320008,0.003115405,0.00151962],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001045855,"about_ca_system_score_gemma":0.0006064634,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001085497,"about_ca_topic_score_gemma":0.0007762723,"domain_scores_codex":[0.99911,0.0001486825,0.00005110805,0.0001504958,0.0003784882,0.0001612136],"domain_scores_gemma":[0.9985233,0.0004372623,0.0001756291,0.0001600821,0.0005719538,0.0001318352],"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":[0.00002232217,0.00001017306,0.0001449562,0.00004123371,0.000006231359,0.0001941625,0.0001158735,0.0004248616,0.006190477,0.9867505,0.0009930898,0.00510619],"study_design_scores_gemma":[0.00002486636,0.00007102681,0.0006334506,0.00003093521,0.00002518166,0.001037824,0.0002008123,0.01143549,0.01480395,0.9533035,0.01838342,0.00004968629],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1710476,0.001801183,0.4213242,0.003301191,0.001309624,0.000213078,0.0002644825,0.0006746816,0.400064],"genre_scores_gemma":[0.8862069,0.001270991,0.05691804,0.001566015,0.0009433159,0.00009179148,0.0001665804,0.0002161496,0.05262031],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01001662,"threshold_uncertainty_score":0.03350896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04648118898572712,"score_gpt":0.2757846381923545,"score_spread":0.2293034492066274,"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."}}