{"id":"W4167695","doi":"10.1023/a:1022624723429","title":"Test Rank for Some Free Polynilpotent Groups","year":2003,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Rank (graph theory); Combinatorics; Group (periodic table); Physics","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":[0.001890815,0.0007002765,0.001040843,0.003364372,0.003440799,0.005154141,0.001203785,0.0009988458,0.01593807],"category_scores_gemma":[0.006970034,0.0004886793,0.0008634124,0.001987282,0.00616608,0.008398379,0.003433938,0.002946024,0.001291645],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001930124,"about_ca_system_score_gemma":0.001334608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001085035,"about_ca_topic_score_gemma":0.001216275,"domain_scores_codex":[0.998507,0.0003270963,0.00007761812,0.0002434954,0.0005256864,0.00031915],"domain_scores_gemma":[0.9932641,0.003637566,0.0007861227,0.0004844345,0.0006918731,0.001135933],"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":[0.0001299245,0.00003013191,0.0005675568,0.00003153073,0.000008590099,0.00009969162,0.0003480821,0.0004105029,0.00049151,0.9941043,0.0007524135,0.003025786],"study_design_scores_gemma":[0.00001843179,0.00002195679,0.0001961752,0.000004461788,0.00000822911,0.00008355929,0.0001202305,0.002073652,0.0006816738,0.9957695,0.001008414,0.00001365454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7066328,0.0005103274,0.1305667,0.003852895,0.000231963,0.0001555343,0.001194336,0.000704427,0.156151],"genre_scores_gemma":[0.9699468,0.0001255839,0.007433187,0.0002432082,0.0001371951,0.00007798454,0.0004029475,0.00007106087,0.02156189],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01593807,"threshold_uncertainty_score":0.05331814,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03667632316744775,"score_gpt":0.2729862119843219,"score_spread":0.2363098888168741,"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."}}