{"id":"W2906565241","doi":"10.5539/jmr.v11n1p13","title":"Examples of Solvable Lie Foliation","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Université Cheikh Anta Diop de Dakar","keywords":"Mathematics; Foliation (geology); Lie group; Manifold (fluid mechanics); Pure mathematics; Simple Lie group; Adjoint representation; Representation of a Lie group","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005215119,0.0001108605,0.0004170177,0.0004398524,0.0001214688,0.00003847754,0.0005749998,0.0001026735,0.0003652767],"category_scores_gemma":[0.007047666,0.0000871425,0.0001202874,0.0003970524,0.0003190315,0.000217636,0.0001650971,0.0004847569,0.00004828279],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001150003,"about_ca_system_score_gemma":0.0001906568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000297796,"about_ca_topic_score_gemma":0.000008334338,"domain_scores_codex":[0.9968846,0.0001575521,0.0009800318,0.0001072992,0.001521812,0.0003487142],"domain_scores_gemma":[0.9938247,0.002575338,0.0007423752,0.0004618232,0.002287001,0.0001088274],"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":[0.00004049779,0.0006976941,0.0001558819,0.0007405263,0.0001185541,0.00001498514,0.003818383,0.000002471793,0.01569335,0.9664462,0.01040328,0.001868183],"study_design_scores_gemma":[0.0003712096,0.000428662,0.00004582701,0.000315286,0.00002026805,0.00005584118,0.001107116,0.0002475191,0.05130989,0.9440215,0.002002999,0.00007389517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.8722768,0.0002014395,0.1091221,0.0003919132,0.0003147001,0.0003132984,0.000004498035,0.00001984057,0.01735542],"genre_scores_gemma":[0.494328,0.00009172918,0.503467,0.000009271386,0.0006086965,0.000003712429,2.979131e-7,0.00004013043,0.001451113],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3943449,"threshold_uncertainty_score":0.8437224,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.352474289387578,"score_gpt":0.5053720719274811,"score_spread":0.1528977825399031,"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."}}