{"id":"W4409401248","doi":"10.4153/s000843952500044x","title":"A characterization of numerical ranges for antilinear operators","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Characterization (materials science); Pure mathematics; Nanotechnology","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004473315,0.0001251603,0.000318582,0.0001477501,0.00009836756,0.00002698512,0.0001751564,0.0001084844,0.002386954],"category_scores_gemma":[0.001377611,0.00011008,0.00008644324,0.0001889704,0.00009899124,0.00003089125,0.00001447028,0.00007304106,0.0001781351],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004970863,"about_ca_system_score_gemma":0.0001760173,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004252691,"about_ca_topic_score_gemma":0.00003879876,"domain_scores_codex":[0.9990781,0.00005766501,0.0003659403,0.0001665076,0.00009709148,0.0002347301],"domain_scores_gemma":[0.9989881,0.0004295677,0.00008492798,0.0002228559,0.0001293903,0.0001451864],"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":[0.00001597845,0.00005081757,0.00002684343,0.0005216787,0.00002953346,0.000001185905,0.0003264447,7.174326e-7,0.003814494,0.9922819,0.002456039,0.0004743767],"study_design_scores_gemma":[0.0007316211,0.00008042502,0.00008143672,0.0004190748,0.00009994068,0.000005730092,0.0005358707,0.003774263,0.04947802,0.8784918,0.0659712,0.0003306315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.588512,0.00002464034,0.3852362,0.0112698,0.0001312645,0.001415176,0.0001476863,0.00009078893,0.01317238],"genre_scores_gemma":[0.9717892,0.000004463502,0.02222675,0.0006674726,0.00004411371,0.0001328234,0.0000297302,0.00002490335,0.005080512],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3832772,"threshold_uncertainty_score":0.998525,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02124937971545111,"score_gpt":0.2870314133743356,"score_spread":0.2657820336588845,"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."}}