{"id":"W2962940281","doi":"10.1016/j.jnt.2013.04.020","title":"On a uniformly distributed phenomenon in matrix groups","year":2013,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Phenomenon; Matrix (chemical analysis); Pure mathematics; Algebra over a field; Epistemology; Philosophy","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":[0.005312792,0.0007049752,0.001786105,0.002755868,0.003347675,0.004121656,0.002426321,0.002682474,0.008178812],"category_scores_gemma":[0.0289521,0.0006284686,0.001177466,0.00217266,0.01024813,0.01072936,0.006190781,0.004284728,0.0005864646],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001594873,"about_ca_system_score_gemma":0.0007007158,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005056006,"about_ca_topic_score_gemma":0.000315458,"domain_scores_codex":[0.9968492,0.001474115,0.0001177048,0.0005657221,0.000619841,0.0003733006],"domain_scores_gemma":[0.9784163,0.0133893,0.001523244,0.003535798,0.001549891,0.001585394],"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":[0.00005050857,0.00001225107,0.000186116,0.00001609744,0.000005260394,0.00005154777,0.0001850391,0.0006035396,0.0005759504,0.996213,0.0004999286,0.001600848],"study_design_scores_gemma":[0.00004748672,0.00003825572,0.0003213488,0.00001564801,0.00001045827,0.0001890593,0.0001600194,0.008724205,0.0004860071,0.9889414,0.001043936,0.00002220713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5311107,0.001192761,0.3977435,0.01192571,0.0007427496,0.0001141044,0.0002762651,0.000602045,0.05629221],"genre_scores_gemma":[0.9781613,0.0003509756,0.01301907,0.0006655267,0.0006943928,0.000080054,0.00009728119,0.0001165514,0.006814864],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008178812,"threshold_uncertainty_score":0.02809703,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01372754136204152,"score_gpt":0.3034889789862215,"score_spread":0.2897614376241799,"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."}}