{"id":"W2896817844","doi":"10.1112/s0025579319000251","title":"ZEROS OF THE MÖBIUS FUNCTION OF PERMUTATIONS","year":2019,"lang":"en","type":"article","venue":"Mathematika","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Optech (Canada)","funders":"Univerzita Karlova v Praze","keywords":"Interval (graph theory); Permutation (music); Bounded function; Function (biology); Zero (linguistics); Parity of a permutation","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":[0.001823646,0.0007011112,0.0007722538,0.002018199,0.001123286,0.002422769,0.0008273125,0.0006379283,0.006167907],"category_scores_gemma":[0.01846684,0.0003956576,0.0004932821,0.0006890347,0.003924473,0.002120234,0.00200953,0.001268808,0.001072747],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001161836,"about_ca_system_score_gemma":0.0008359887,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006419922,"about_ca_topic_score_gemma":0.0002751451,"domain_scores_codex":[0.9988422,0.0003419173,0.00005454028,0.0001997555,0.0002523806,0.0003092352],"domain_scores_gemma":[0.9923096,0.004178881,0.0009948955,0.001069776,0.0007621128,0.0006848329],"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":[0.0006047189,0.00004853164,0.006253107,0.000184718,0.00003743677,0.0004882319,0.0005817325,0.02043325,0.02923053,0.9124025,0.001682815,0.0280525],"study_design_scores_gemma":[0.00009115715,0.0002772981,0.007787921,0.0001712569,0.00005158943,0.001933948,0.0004765667,0.1222206,0.0341599,0.8247963,0.007899025,0.0001344724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8293558,0.0006354295,0.1358894,0.0006741151,0.00009042994,0.00003832888,0.0001665514,0.0003110435,0.03283891],"genre_scores_gemma":[0.9897193,0.0002857744,0.006268343,0.00006124255,0.000093371,0.00006270684,0.00007257296,0.00008036711,0.003356433],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006167907,"threshold_uncertainty_score":0.02063376,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02285629184654308,"score_gpt":0.2795096989683316,"score_spread":0.2566534071217885,"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."}}