{"id":"W2785747255","doi":"10.1007/s11005-018-1139-z","title":"Bernstein operators and super-Schur functions: combinatorial aspects","year":2018,"lang":"en","type":"article","venue":"Letters in Mathematical Physics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematical proof; Vertex (graph theory); Symmetric function; Combinatorial proof; Algebra over a field","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":[0.001140865,0.0009291198,0.0007576914,0.00263879,0.001731298,0.003891951,0.001223299,0.001713201,0.01119268],"category_scores_gemma":[0.003044613,0.000474233,0.0005735105,0.002059563,0.003471341,0.005803,0.001551278,0.002684772,0.0009633027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001233642,"about_ca_system_score_gemma":0.0006638222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009813439,"about_ca_topic_score_gemma":0.001199587,"domain_scores_codex":[0.9994864,0.0001616542,0.0000200707,0.00007486748,0.0001778203,0.0000792444],"domain_scores_gemma":[0.9985296,0.0006901045,0.0001923127,0.0001148483,0.0002162304,0.0002568529],"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":[0.000005684726,0.00000550228,0.00003468638,0.000009789306,0.000001075507,0.00001725884,0.00004442298,0.0001278074,0.0001847149,0.9982123,0.0003451213,0.001011646],"study_design_scores_gemma":[0.000004049577,0.000004118091,0.00008694197,0.000004957224,0.00000151877,0.00006051455,0.00004425292,0.001823514,0.00006746644,0.9968596,0.001037988,0.000005154751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4047142,0.009878787,0.2615846,0.01326063,0.001255024,0.00006774416,0.0004182842,0.0002645882,0.3085562],"genre_scores_gemma":[0.9344052,0.003818019,0.02348137,0.001134578,0.001806073,0.00006675561,0.0002565125,0.0001008028,0.03493074],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01119268,"threshold_uncertainty_score":0.03744322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0249467897745361,"score_gpt":0.2891611939215932,"score_spread":0.264214404147057,"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."}}