{"id":"W4221028249","doi":"10.22541/au.164873418.85283815/v1","title":"BANACH SPACES AND INEQUALITIES ASSOCIATED WITH A NEW GENERALIZATION OF CESÀRO MATRIX","year":2022,"lang":"en","type":"preprint","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Matrix (chemical analysis); Pure mathematics; Norm (philosophy); Banach space; Dual polyhedron; Bounded function; Lp space; Generalization; Discrete mathematics; Mathematical analysis; Political science","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":[0.0006837448,0.000217422,0.0004529378,0.0001370449,0.00008604995,0.00006626394,0.0001731634,0.0001544085,0.001210816],"category_scores_gemma":[0.0003636082,0.0001727303,0.0000517721,0.0001555681,0.00008764242,0.0001000992,0.000286444,0.0002301018,5.948642e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005597726,"about_ca_system_score_gemma":0.0001911872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003881474,"about_ca_topic_score_gemma":0.0002840371,"domain_scores_codex":[0.9986096,0.0002358695,0.0003938189,0.0002621345,0.0003581661,0.0001404022],"domain_scores_gemma":[0.9985847,0.0003200156,0.0006591882,0.0002783522,0.0001025105,0.00005524301],"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":[0.00005007678,0.00007354715,0.002563205,0.000683116,0.0002506942,0.000002089546,0.00992356,0.001837401,0.00007568835,0.9815179,0.002944136,0.0000786302],"study_design_scores_gemma":[0.0004816173,0.0001360071,0.0002837674,0.0002513058,0.0001858482,0.000003707118,0.008471546,0.00286582,0.00119842,0.9854919,0.0002121085,0.0004179932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9468939,0.0003234007,0.04315159,0.0007131274,0.00009586158,0.0005664143,0.00009647609,0.0001852662,0.00797391],"genre_scores_gemma":[0.9124766,0.0001299236,0.04065739,0.00007636713,0.00008461768,0.00007141499,0.0003178261,0.00006235969,0.04612349],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03814957,"threshold_uncertainty_score":0.9997022,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06544682335676526,"score_gpt":0.3294029087940298,"score_spread":0.2639560854372646,"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."}}