{"id":"W1607925521","doi":"10.37236/389","title":"Cyclic Permutations of Sequences and Uniform Partitions","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"National Science Council","keywords":"Combinatorics; Mathematics; Permutation (music); Path (computing); Distribution (mathematics); Physics; 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":[],"consensus_categories":[],"category_scores_codex":[0.001014479,0.0001333327,0.0003175079,0.0001010732,0.0001590758,0.00002233716,0.0003940795,0.00007350685,0.00002022452],"category_scores_gemma":[0.001050416,0.00009078046,0.00009650113,0.0003362511,0.0002133839,0.0002013621,0.00004855092,0.0008299893,0.000001519763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007379517,"about_ca_system_score_gemma":0.0003300411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002280333,"about_ca_topic_score_gemma":0.00001496444,"domain_scores_codex":[0.9985777,0.00006668497,0.0005955855,0.00007420177,0.0003706079,0.0003152444],"domain_scores_gemma":[0.9974299,0.001050415,0.0007597448,0.0002897338,0.0003972244,0.00007295635],"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":[0.000009186836,0.0001400677,0.00008637449,0.0000316579,0.00005593733,0.000001674334,0.0005807915,0.00000899235,0.003040928,0.9958532,0.00009255504,0.00009863062],"study_design_scores_gemma":[0.0004984418,0.0003030306,0.00006672111,0.00002990923,0.0001240785,0.0002600676,0.0004156849,0.00005586354,0.005006471,0.9925606,0.0005876079,0.00009157375],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9839204,0.0003558245,0.01289298,0.0007177255,0.0005966025,0.0001650638,0.000002195209,0.00001916656,0.00133007],"genre_scores_gemma":[0.9988284,0.0002521657,0.0006973653,0.00001131664,0.00007311899,0.000004401717,3.185111e-7,0.00001999169,0.0001129164],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01490803,"threshold_uncertainty_score":0.370192,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01632245965012542,"score_gpt":0.3035851672877919,"score_spread":0.2872627076376665,"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."}}