{"id":"W2398362256","doi":"","title":"On the second largest scrambling index of primitive matrices.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Scrambling; Mathematics; Index (typography); Statistics; Algorithm; Computer science","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":[0.0001471772,0.00007821767,0.0001212639,0.00001509238,0.0001049377,0.00001485123,0.0001508636,0.00001830375,0.0004464822],"category_scores_gemma":[0.00002549152,0.0000538695,0.0000496563,0.0001267692,0.00005845459,0.00003816381,0.00004186082,0.000112306,0.00004264661],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005958851,"about_ca_system_score_gemma":0.000008992176,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004246202,"about_ca_topic_score_gemma":1.651025e-7,"domain_scores_codex":[0.9995208,0.00002466155,0.0001380003,0.0001065639,0.00009073637,0.0001192246],"domain_scores_gemma":[0.9990026,0.0005665795,0.0001033107,0.0002460812,0.00004854563,0.00003282336],"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":[0.000002814578,0.00008461512,0.0003854172,0.000006504193,0.00001358869,2.069285e-8,0.00004426929,0.00001018846,0.0001352009,0.9983028,0.0002497087,0.0007648424],"study_design_scores_gemma":[0.0002109624,0.00002541323,0.0002926787,0.00001688543,0.00000614304,4.852237e-8,0.0001155475,0.0002895781,0.004270765,0.9915451,0.003163734,0.00006307996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8697958,0.000009347032,0.01459094,0.0002653315,0.0001448488,0.0002316636,0.00002098735,0.00002090841,0.1149202],"genre_scores_gemma":[0.9993168,3.982926e-7,0.0001883706,0.00006595849,0.00001429474,0.00003301289,0.000003524841,0.000009827979,0.0003678618],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.129521,"threshold_uncertainty_score":0.4888667,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008639637835356645,"score_gpt":0.2489933770910138,"score_spread":0.2403537392556571,"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."}}