{"id":"W2963032491","doi":"10.1090/tran/7469","title":"A local converse theorem for U₂ᵣ₊₁","year":2017,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Ohio State University","keywords":"Mathematics; Converse; Pure mathematics; Calculus (dental); Mathematical economics; Discrete mathematics; Geometry","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":[0.002374923,0.001053449,0.0009476222,0.001422029,0.003887341,0.004070611,0.001548345,0.001495477,0.03396247],"category_scores_gemma":[0.005466334,0.0007753633,0.002824325,0.0009625065,0.003717438,0.01209824,0.006837023,0.005674278,0.008107819],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002914608,"about_ca_system_score_gemma":0.001823227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003653681,"about_ca_topic_score_gemma":0.003337332,"domain_scores_codex":[0.9970983,0.0005202862,0.0001873603,0.0008348385,0.0006625571,0.0006967033],"domain_scores_gemma":[0.9954376,0.001724591,0.0002216981,0.0004759362,0.001809133,0.000331039],"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":[0.00007972313,0.00002667616,0.0002027977,0.0001961633,0.00002830167,0.0001983184,0.0004293243,0.0003699064,0.0009909482,0.9727093,0.01494182,0.009826708],"study_design_scores_gemma":[0.00004300267,0.00004726988,0.0003563889,0.00008578969,0.00005324736,0.0004947932,0.0004778218,0.003195696,0.00300477,0.9221402,0.07006381,0.00003727133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03018518,0.00240591,0.2593873,0.0148529,0.002256026,0.0001726934,0.001609201,0.001723585,0.6874073],"genre_scores_gemma":[0.615176,0.003698171,0.08042123,0.01098497,0.003131521,0.0006838879,0.003939229,0.001440839,0.2805241],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03396247,"threshold_uncertainty_score":0.1136158,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02584421063668434,"score_gpt":0.3147668217989956,"score_spread":0.2889226111623113,"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."}}