{"id":"W2092586575","doi":"10.5539/jmr.v5n2p107","title":"On n-Paranormal Operators","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Paranormal; Mathematics; Hilbert space; Operator (biology); Banach space; Space (punctuation); Combinatorics; Algebra over a field; Discrete mathematics; Pure mathematics; Chemistry; Medicine; Computer science","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":["insufficient_payload"],"category_scores_codex":[0.005607089,0.0001539071,0.0004235551,0.0004189247,0.0001804053,0.0001583882,0.0006509136,0.0001225403,0.00261133],"category_scores_gemma":[0.003115314,0.0001011002,0.00014976,0.0003065167,0.0001711121,0.0002648816,0.0001017949,0.001011216,0.001238228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001007026,"about_ca_system_score_gemma":0.0001757313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004652069,"about_ca_topic_score_gemma":9.732422e-7,"domain_scores_codex":[0.9967873,0.0003660411,0.0007779464,0.0001170133,0.001493377,0.0004583856],"domain_scores_gemma":[0.9954411,0.002506859,0.0002227499,0.0004088496,0.001150287,0.0002701875],"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":[0.00005151863,0.001483149,0.00009357115,0.0002976495,0.0001526571,0.0001521953,0.003151188,0.00002060715,0.005787051,0.8564081,0.1308086,0.001593683],"study_design_scores_gemma":[0.0009451396,0.0008690673,0.00006261028,0.0003687013,0.00002045684,0.0003045963,0.003426749,0.000642905,0.008865326,0.9828932,0.001402538,0.0001987578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9758711,0.00006917086,0.001417191,0.0005422041,0.0001588762,0.000326332,0.000001748323,0.00001600271,0.02159736],"genre_scores_gemma":[0.9774064,0.0000395739,0.0193926,0.00009026321,0.0002369738,0.00001619012,2.25095e-7,0.00004842504,0.002769344],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1294061,"threshold_uncertainty_score":0.9995394,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1652457672874438,"score_gpt":0.4323117966075008,"score_spread":0.267066029320057,"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."}}