{"id":"W2789303157","doi":"10.4153/cmb-2018-008-3","title":"Weak Approximation for Points with Coordinates in Rank-one Subgroups of Global Function Fields","year":2018,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Multiplicative function; Rank (graph theory); Affine transformation; Function field; Field (mathematics); Function (biology); Variety (cybernetics); Property (philosophy); Set (abstract data type); Pure mathematics; Global field; Combinatorics; Mathematical analysis; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001601935,0.000810509,0.001905464,0.002721411,0.00222015,0.004502434,0.001548318,0.000980103,0.002548638],"category_scores_gemma":[0.005614744,0.0005497335,0.002041311,0.001614686,0.004610367,0.004885025,0.004647386,0.002471598,0.0003691358],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001618475,"about_ca_system_score_gemma":0.0005476619,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001242955,"about_ca_topic_score_gemma":0.0007324608,"domain_scores_codex":[0.9982292,0.0003453963,0.000141749,0.0004434059,0.0005200138,0.0003202639],"domain_scores_gemma":[0.9965863,0.001359516,0.0005192573,0.0006359683,0.0004197699,0.000479148],"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":[0.0003744115,0.00006222992,0.00501956,0.00009903097,0.00006570069,0.000380399,0.00130481,0.008592534,0.006663759,0.9705723,0.0003839114,0.006481298],"study_design_scores_gemma":[0.00009141499,0.0002734478,0.002121784,0.00005839767,0.0001189968,0.0006969534,0.001321252,0.04707032,0.01129954,0.9326211,0.004255252,0.0000714505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8726991,0.0002679855,0.1171929,0.000398277,0.00004489793,0.00003696121,0.0002208494,0.0002179425,0.00892116],"genre_scores_gemma":[0.984772,0.0001663722,0.0113939,0.00007314065,0.00005653656,0.00005547139,0.0003163036,0.0000437835,0.003122397],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004502434,"threshold_uncertainty_score":0.01174289,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01811629355447572,"score_gpt":0.2457478888267241,"score_spread":0.2276315952722484,"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."}}