{"id":"W4321011899","doi":"10.48550/arxiv.2302.06720","title":"Summability and duality","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Variety (cybernetics); Duality (order theory); Banach space; Space (punctuation); Lp space; Pure mathematics; Function space; Lebesgue integration; Convergence (economics); Dual (grammatical number); Fréchet space; Function (biology); Hardy space; Interpolation space; Functional analysis; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007847728,0.0003382278,0.000492322,0.0001401386,0.0001226202,0.00002767836,0.0004440869,0.0003487033,0.00006073222],"category_scores_gemma":[0.0006663339,0.0003914241,0.0001664088,0.0002573867,0.0003479012,0.0001255839,0.001769734,0.0006978124,0.00008083149],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002452547,"about_ca_system_score_gemma":0.00008535307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001193235,"about_ca_topic_score_gemma":0.0003058976,"domain_scores_codex":[0.9980751,0.0002692022,0.0002192,0.001008681,0.00008261008,0.0003452004],"domain_scores_gemma":[0.997296,0.0008578332,0.0002512513,0.001318366,0.000109979,0.0001665264],"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":[0.0001264438,0.0001630839,0.01180152,0.001131059,0.0001673722,0.0003065531,0.0004817377,0.005530734,0.00003101218,0.9789323,0.001174389,0.0001538158],"study_design_scores_gemma":[0.0003140209,0.00001828459,0.002416198,0.0000706262,0.000147396,0.000001691843,0.0003829801,0.00425018,0.00005803156,0.9917879,0.0001677855,0.0003849452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9415284,0.00003066983,0.05496103,0.0001346832,0.0003089964,0.0004590356,0.00009217639,0.0006904769,0.001794555],"genre_scores_gemma":[0.9909773,0.000101086,0.001433962,0.00002164362,0.00006605232,0.000001304711,0.00001526565,0.00005519438,0.007328176],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05352707,"threshold_uncertainty_score":0.9998538,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2099336692785471,"score_gpt":0.2599209415611137,"score_spread":0.04998727228256658,"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."}}