{"id":"W1971727877","doi":"10.1142/s0218196711006789","title":"APPROXIMATION OF GEODESICS IN METABELIAN GROUPS","year":2011,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Geodesic; Abelian group; Wreath product; Bounded function; Product (mathematics); Polynomial; Group (periodic table); Finitely generated group; Finitely-generated abelian group","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":[0.001269737,0.0007855245,0.001347138,0.0009410111,0.001205782,0.002160027,0.002083644,0.001368318,0.004186562],"category_scores_gemma":[0.00872246,0.0005310721,0.001569735,0.001416101,0.001309725,0.006203935,0.002979761,0.00188711,0.0006144523],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002214297,"about_ca_system_score_gemma":0.001205835,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002998888,"about_ca_topic_score_gemma":0.002829392,"domain_scores_codex":[0.997922,0.000447023,0.0001560651,0.0006449021,0.0005285605,0.0003014961],"domain_scores_gemma":[0.9959143,0.002472507,0.0003680891,0.0007523898,0.0002781783,0.0002146498],"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":[0.001253489,0.0003421395,0.005819167,0.0008637611,0.0002005377,0.0005501081,0.001829922,0.3360564,0.01227931,0.4950469,0.009626608,0.1361317],"study_design_scores_gemma":[0.00008765381,0.0001010749,0.0004160486,0.00002533162,0.00003740356,0.0002062602,0.0002141648,0.4209768,0.003870047,0.5695493,0.004491562,0.00002440339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5434103,0.001081054,0.4405412,0.001875717,0.00009305491,0.0002395217,0.001165318,0.001904154,0.00968965],"genre_scores_gemma":[0.7796244,0.0004426343,0.2106854,0.0002322495,0.00009426655,0.0002014782,0.002549272,0.0002279953,0.005942316],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004186562,"threshold_uncertainty_score":0.01606596,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05927282058742664,"score_gpt":0.3090718711445997,"score_spread":0.2497990505571731,"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."}}