{"id":"W2167512557","doi":"10.4153/cmb-2014-029-4","title":"Exact and Approximate Operator Parallelism","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Hilbert space; Parallelism (grammar); Bounded function; Operator (biology); Norm (philosophy); Bounded operator; Algebra over a field; Linear map; Multiplication operator","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":[0.000840455,0.0002626815,0.0004190891,0.0001440936,0.0002286807,0.0001496063,0.0003089548,0.0001536232,0.008279798],"category_scores_gemma":[0.00275199,0.0002247613,0.00005845839,0.0001354904,0.0002062249,0.00005594443,0.00008954424,0.0003242972,0.004426344],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001191415,"about_ca_system_score_gemma":0.0001169846,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000165071,"about_ca_topic_score_gemma":0.0004426666,"domain_scores_codex":[0.9979979,0.0001508985,0.000367442,0.0004074241,0.0003121402,0.0007641561],"domain_scores_gemma":[0.9974368,0.0007118282,0.00004494849,0.000559154,0.00009493098,0.001152392],"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":[0.00000713087,0.00004274134,0.00005014573,0.0002882547,0.00002358675,0.00003455008,0.0002990634,0.000002560615,0.0001111506,0.9773335,0.01990712,0.001900166],"study_design_scores_gemma":[0.000809841,0.000108753,0.00007461345,0.0001485875,0.00002963562,0.0001076186,0.0002265926,0.004620356,0.0004755237,0.8225598,0.1702165,0.0006221596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7656764,0.0002944318,0.05705349,0.02390793,0.0001715124,0.002209551,0.00005826113,0.0004669976,0.1501614],"genre_scores_gemma":[0.9333262,0.00001852951,0.05811275,0.001629977,0.0001940013,0.0001566803,0.00000681444,0.0001318697,0.006423169],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1676498,"threshold_uncertainty_score":0.9963488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02541603025063509,"score_gpt":0.291040903067588,"score_spread":0.2656248728169529,"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."}}