{"id":"W1968242978","doi":"10.4153/cmb-2007-042-8","title":"MKZ Type Operators Providing a Better Estimation on [1/2, 1)","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Modulus of continuity; Generalization; Lipschitz continuity; Type (biology); Class (philosophy); Order (exchange); Interval (graph theory); Pure mathematics; Modulus; Applied mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Artificial intelligence; Geometry","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":[0.001415692,0.000215878,0.0002564758,0.0002203318,0.0002311959,0.00008912334,0.0002223489,0.0001632989,0.008500795],"category_scores_gemma":[0.002192507,0.00018497,0.00006447708,0.0002419823,0.0001060251,0.00006336749,0.00001849811,0.0002466745,0.009762486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002356264,"about_ca_system_score_gemma":0.0001308696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007805444,"about_ca_topic_score_gemma":0.0002505483,"domain_scores_codex":[0.998442,0.0000692992,0.0004148235,0.0002670187,0.0002778276,0.0005290559],"domain_scores_gemma":[0.998291,0.0006833018,0.00009270203,0.0003491856,0.00009374065,0.0004900619],"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":[0.00002384213,0.00005564688,0.00002431401,0.000130989,0.00001934978,0.00005689888,0.0008904865,0.00001061093,0.0001541331,0.980617,0.01526163,0.00275512],"study_design_scores_gemma":[0.0003347739,0.000154242,0.00003460522,0.000287324,0.00003729305,0.00004827772,0.0007162686,0.001595837,0.005180987,0.9665058,0.0246158,0.0004887647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8111787,0.00002069065,0.05343346,0.01048647,0.0002274118,0.001025185,0.00001223533,0.0002695365,0.1233463],"genre_scores_gemma":[0.9496405,7.672817e-7,0.04448156,0.002375329,0.0001235304,0.00002309494,0.000009351918,0.000051278,0.003294655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1384617,"threshold_uncertainty_score":0.9924056,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03381086028967244,"score_gpt":0.2962103495661758,"score_spread":0.2623994892765033,"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."}}