{"id":"W2019453185","doi":"10.1090/s0002-9947-10-04959-7","title":"The word and geodesic problems in free solvable groups","year":2010,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Geodesic; Word (group theory); Pure mathematics; Word problem (mathematics education); Free group; Algebra over a field; Combinatorics; Arithmetic; Group (periodic table); Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001365469,0.0003166157,0.0007239303,0.00005515183,0.0005312396,0.00006944839,0.0009936878,0.0001923204,0.0003123306],"category_scores_gemma":[0.0005533069,0.0001920485,0.0005362292,0.001348289,0.004228085,0.0001094651,0.0001141186,0.001354668,0.00002215345],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004881652,"about_ca_system_score_gemma":0.0001046444,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000413833,"about_ca_topic_score_gemma":0.0003899073,"domain_scores_codex":[0.9975749,0.0001723505,0.0008071057,0.0003377153,0.0004291681,0.0006787776],"domain_scores_gemma":[0.9949461,0.003050521,0.000510572,0.001273671,0.00008091427,0.0001382637],"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":[0.0001844208,0.009548683,0.003731147,0.006581667,0.00305158,0.00000579892,0.05178338,0.0004649767,0.007068132,0.7539698,0.01936316,0.1442472],"study_design_scores_gemma":[0.000929691,0.0002095283,0.002543875,0.000183258,0.0003865139,0.00005478547,0.008032235,0.005033753,0.0003049685,0.9805641,0.001383662,0.0003736656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8931991,0.0007898379,0.08212104,0.02025924,0.0007538683,0.001279933,0.00006001894,0.00007747246,0.001459496],"genre_scores_gemma":[0.9721177,0.0007674539,0.02323208,0.0001807333,0.00007554841,0.00008563416,4.239176e-7,0.00005484681,0.00348565],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2265942,"threshold_uncertainty_score":0.9984818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01435744870298775,"score_gpt":0.2520178922286684,"score_spread":0.2376604435256806,"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."}}