{"id":"W4253205135","doi":"10.1090/s0002-9947-09-05020-x","title":"Mann pairs","year":2009,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Pure mathematics","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":[0.001297928,0.002511445,0.00154432,0.002678926,0.004628136,0.006817407,0.003761559,0.002816519,0.3314829],"category_scores_gemma":[0.006707125,0.001421802,0.00195247,0.002890807,0.002087398,0.01443688,0.01032333,0.003085201,0.2281564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002591513,"about_ca_system_score_gemma":0.002036651,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003030525,"about_ca_topic_score_gemma":0.003255486,"domain_scores_codex":[0.9960598,0.0007062941,0.0003135348,0.001375869,0.00085481,0.0006896638],"domain_scores_gemma":[0.9976428,0.0003680653,0.0001172614,0.0008820692,0.0008151321,0.0001746806],"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":[0.0002352051,0.00005760552,0.000670118,0.0003766837,0.00005185513,0.0004365441,0.0005166602,0.0007135384,0.001070317,0.622181,0.2689057,0.1047848],"study_design_scores_gemma":[0.0000199295,0.00002473136,0.0001875207,0.0001148847,0.00002410403,0.0003661856,0.0002540949,0.0009695083,0.001449106,0.1601836,0.8363657,0.00004057527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.005993432,0.001352455,0.1214118,0.003384965,0.003147432,0.0003753695,0.01303879,0.01224607,0.8390497],"genre_scores_gemma":[0.1349188,0.002069211,0.08542459,0.004304959,0.001144485,0.001015557,0.03582418,0.01022862,0.7250698],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3314829,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01751610221097301,"score_gpt":0.2723875256289272,"score_spread":0.2548714234179542,"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."}}