{"id":"W3012263858","doi":"10.3842/sigma.2020.012","title":"Quasi-Isometric Bounded Generation by Q-Rank-One Subgroups","year":2020,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Isometric exercise; Bounded function; Mathematics; Rank (graph theory); Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001452368,0.0002867733,0.0005204999,0.0002243845,0.0003837071,0.0001213713,0.0002326696,0.0002274129,0.0001293301],"category_scores_gemma":[0.003052893,0.0002708524,0.00009673953,0.002105157,0.0003179196,0.0002043414,0.0001493135,0.0005161827,0.00001127438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005758975,"about_ca_system_score_gemma":0.00002631206,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002332886,"about_ca_topic_score_gemma":0.000005054833,"domain_scores_codex":[0.9977025,0.0003527536,0.0006034903,0.0007835762,0.0002493845,0.0003083266],"domain_scores_gemma":[0.9968121,0.001967988,0.0001974916,0.0005419073,0.0001572248,0.000323305],"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":[0.00001286449,0.0004394809,0.001185759,0.0002673781,0.00006455681,1.860337e-7,0.0002007879,1.479265e-7,0.008046807,0.7647157,0.0004951222,0.2245712],"study_design_scores_gemma":[0.0004466571,0.0002234153,0.0003305464,0.00001125402,0.000111679,0.000006922766,0.0004368795,0.0009504128,0.01271194,0.9548585,0.02950756,0.0004042679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09746458,0.001849335,0.8964245,0.002466332,0.00005326013,0.0007489636,0.00009019818,0.0001492879,0.0007535839],"genre_scores_gemma":[0.2767035,0.0004201685,0.7214135,0.0006296133,0.0003066846,0.0002807192,0.00005603413,0.00003472506,0.0001550491],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2241669,"threshold_uncertainty_score":0.9999744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08448308856838546,"score_gpt":0.3897138636682159,"score_spread":0.3052307750998304,"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."}}