{"id":"W2021386602","doi":"10.4153/cmb-2013-002-7","title":"An Explicit Formula for the Generalized Cyclic Shuffle Map","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Shanghai Leading Academic Discipline Project; Shanghai Municipal Education Commission; National Natural Science Foundation of China; Natural Science Foundation of Shanghai","keywords":"Mathematics; Pure mathematics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005432969,0.0004883608,0.0004927687,0.001680753,0.0008974325,0.001578605,0.0009409837,0.0008644357,0.01095321],"category_scores_gemma":[0.001459686,0.0002597594,0.000416402,0.001152056,0.001725609,0.003147152,0.001751021,0.00119551,0.001346633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000798413,"about_ca_system_score_gemma":0.0004280838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006748915,"about_ca_topic_score_gemma":0.0007972912,"domain_scores_codex":[0.9995835,0.00005806918,0.00002586117,0.00006029147,0.0001694713,0.000102796],"domain_scores_gemma":[0.9996659,0.00007473225,0.00003414991,0.00005464942,0.0001140509,0.00005654185],"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":[0.000008693527,0.000007739649,0.0001273688,0.00003201442,0.000002115676,0.0001487069,0.00008907572,0.0007629335,0.00194438,0.9889714,0.0008595684,0.007045949],"study_design_scores_gemma":[0.00001089599,0.00002603956,0.0003631575,0.00002783433,0.000008606965,0.0004253449,0.0001138387,0.0123476,0.003711966,0.9708655,0.01206605,0.00003323204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2975848,0.001226341,0.5022712,0.001857056,0.0006757075,0.0001422706,0.0004746468,0.001201904,0.1945662],"genre_scores_gemma":[0.9264375,0.0006382007,0.04719513,0.0003359885,0.0002180907,0.00009375768,0.0001930497,0.0002266589,0.02466172],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01095321,"threshold_uncertainty_score":0.03664213,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03111697901462218,"score_gpt":0.2934657212347631,"score_spread":0.2623487422201409,"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."}}