{"id":"W3043513607","doi":"10.2140/involve.2020.13.425","title":"Covering numbers and schlicht functions","year":2020,"lang":"en","type":"article","venue":"Involve a Journal of Mathematics","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Cover (algebra); Mathematics; RADIUS; Space (punctuation); Upper and lower bounds; Combinatorics; Computer science; Mathematical analysis; Engineering; Mechanical engineering; Computer security","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001317223,0.00178408,0.001356042,0.002922246,0.001748671,0.0023979,0.001735518,0.002532138,0.009432849],"category_scores_gemma":[0.01417912,0.0006195744,0.001052291,0.001116874,0.002903499,0.005981226,0.002974491,0.002378086,0.00156437],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001530041,"about_ca_system_score_gemma":0.0003496227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006111388,"about_ca_topic_score_gemma":0.0004906036,"domain_scores_codex":[0.9983559,0.0003561788,0.00008923976,0.0003477795,0.0004151588,0.0004356652],"domain_scores_gemma":[0.9913781,0.005601421,0.0009081969,0.0006813832,0.0004468916,0.0009840386],"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":[0.0004357276,0.00007072304,0.00251015,0.0004568315,0.0000797676,0.0003692341,0.0003989335,0.05253483,0.02072425,0.8797095,0.003880412,0.03882975],"study_design_scores_gemma":[0.00003287314,0.0002824028,0.003927215,0.0001682731,0.00007151369,0.001252895,0.0004084929,0.2115215,0.02690285,0.7418653,0.01345626,0.0001104777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5620478,0.005768105,0.3603696,0.002276938,0.0004221887,0.0001062218,0.0005256945,0.0006268179,0.06785674],"genre_scores_gemma":[0.9431441,0.001717879,0.04712555,0.0001986603,0.0002162727,0.0001364627,0.0005041017,0.0001740829,0.006782847],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009432849,"threshold_uncertainty_score":0.03155601,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1500440386133597,"score_gpt":0.3291641847307416,"score_spread":0.1791201461173819,"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."}}