{"id":"W3092653029","doi":"10.37236/9982","title":"An Order on Circular Permutations","year":2021,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Partially ordered set; Mathematics; Combinatorics; Affine transformation; Lattice (music); Rank (graph theory); Order (exchange); Interval (graph theory); Discrete mathematics; Pure mathematics; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000549447,0.0003880204,0.0004001193,0.001502581,0.002280743,0.003525163,0.0004028034,0.0005837821,0.009055205],"category_scores_gemma":[0.001864807,0.0002791657,0.0005223221,0.001143603,0.003190881,0.00467667,0.002200811,0.001224691,0.001368457],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001040046,"about_ca_system_score_gemma":0.0009233789,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001733285,"about_ca_topic_score_gemma":0.001678256,"domain_scores_codex":[0.9990531,0.0001649864,0.0000654378,0.0001879984,0.0002576791,0.0002707863],"domain_scores_gemma":[0.9986877,0.0003970132,0.0001855821,0.0001575375,0.0002743102,0.0002978967],"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":[0.00002165894,0.000009953438,0.0002271428,0.00001284053,0.00000129314,0.00006687998,0.0002135122,0.0002496594,0.0008161578,0.993645,0.0005158382,0.004220068],"study_design_scores_gemma":[0.00001558626,0.00006708835,0.0005677569,0.00002512121,0.000007149064,0.0003087253,0.0004077466,0.003421596,0.002305366,0.9725006,0.02035002,0.00002316814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5473672,0.001234892,0.1564426,0.001764509,0.0007525276,0.0001149613,0.0007905804,0.0004617721,0.2910709],"genre_scores_gemma":[0.9372068,0.0006388001,0.01584859,0.0003725749,0.0004471039,0.00007460541,0.0003923233,0.0001195946,0.0448996],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009055205,"threshold_uncertainty_score":0.03029263,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03037655802564984,"score_gpt":0.3374801827934975,"score_spread":0.3071036247678476,"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."}}