{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007478024,0.0004783508,0.0004991366,0.001767946,0.001402048,0.001845789,0.0006397226,0.0006740122,0.007737716],"category_scores_gemma":[0.004408415,0.0003209228,0.0005156381,0.001780964,0.002384262,0.002313041,0.001445891,0.001045136,0.001247246],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00137729,"about_ca_system_score_gemma":0.0009721961,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002417212,"about_ca_topic_score_gemma":0.001949191,"domain_scores_codex":[0.9985921,0.0003412534,0.00006748046,0.0002822909,0.0003040717,0.0004127963],"domain_scores_gemma":[0.9980495,0.0007355292,0.0003262858,0.0003369431,0.0002962649,0.000255512],"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":[0.00003825446,0.000008251863,0.0001771057,0.00001488121,0.000002828571,0.00004276499,0.00009571411,0.001658512,0.0003016413,0.9895483,0.001394565,0.006717149],"study_design_scores_gemma":[0.00001972316,0.00003309086,0.000419035,0.00002334552,0.000005068815,0.0001166913,0.00006227905,0.018178,0.000703329,0.970125,0.01029493,0.0000195904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4576445,0.003474908,0.3044239,0.001890158,0.0009368066,0.0002064789,0.00145212,0.0009368156,0.2290344],"genre_scores_gemma":[0.9231932,0.001203056,0.03545363,0.000669402,0.0005764723,0.0003304682,0.001151882,0.0002281058,0.03719378],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007737716,"threshold_uncertainty_score":0.02588528,"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."}}