{"id":"W1520019393","doi":"10.2298/fil1606591s","title":"Pick’s theorems for dissipative operators","year":2016,"lang":"en","type":"article","venue":"Filomat","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Dissipative system; Bounded function; Dissipative operator; Complex plane; Hilbert space; Bounded operator; Contraction (grammar); Analytic function; Operator (biology); Domain (mathematical analysis); Linear map; Pure mathematics; Transformation (genetics); Linear operators; Mathematical analysis; Discrete mathematics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003362178,0.0001439196,0.000205387,0.0000321659,0.000115834,0.00002043003,0.0001844905,0.00007914395,0.001327135],"category_scores_gemma":[0.0005816286,0.0000772288,0.00008655411,0.00004218906,0.0001057084,0.0001112307,0.00004269988,0.0000416891,0.0002627299],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003745445,"about_ca_system_score_gemma":0.00003257269,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000149416,"about_ca_topic_score_gemma":0.000004548169,"domain_scores_codex":[0.9991697,0.00006582779,0.0001967729,0.0002068038,0.0001140526,0.0002468605],"domain_scores_gemma":[0.9987564,0.0007126879,0.00005540971,0.0003131787,0.00007392497,0.00008841698],"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":[0.00006364118,0.000069783,0.0004784978,0.00003086713,0.00004425325,0.000004748062,0.001046893,6.178604e-8,0.00509523,0.9653037,0.02274964,0.005112728],"study_design_scores_gemma":[0.001538776,0.0002030163,0.0003569596,0.0001317855,0.00004004749,0.00001019728,0.0004310256,0.00002284423,0.04546669,0.9140337,0.03738798,0.0003769887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9170915,0.00005105647,0.04984806,0.001367558,0.0005896344,0.0009887421,0.0003573718,0.0003271152,0.02937899],"genre_scores_gemma":[0.9867065,0.000005692034,0.00453087,0.0001944788,0.0001744634,0.000143995,0.000004644565,0.00004365768,0.008195694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06961504,"threshold_uncertainty_score":0.9995858,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05796957737310932,"score_gpt":0.3341985776126103,"score_spread":0.276229000239501,"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."}}