{"id":"W2950228360","doi":"10.48550/arxiv.1305.1389","title":"Dendriform analogues of Lie and Jordan triple systems","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Degree (music); Mathematics; Identity (music); Multilinear map; Polynomial; Representation theory; Lie algebra; Triple system; Combinatorics; Pure mathematics; Algebra over a field; Mathematical analysis; Physics","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":[0.0003907176,0.0003052121,0.0004091064,0.000980906,0.001774184,0.001762834,0.0005628655,0.000418978,0.007797362],"category_scores_gemma":[0.00115306,0.0002081467,0.0005461278,0.0005868888,0.001848712,0.00196588,0.001597845,0.0008440897,0.001292028],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009223081,"about_ca_system_score_gemma":0.0006890252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001691763,"about_ca_topic_score_gemma":0.002472344,"domain_scores_codex":[0.9994665,0.00006578318,0.00003091835,0.0001090495,0.0001798576,0.0001477613],"domain_scores_gemma":[0.9994951,0.00006233028,0.00009623275,0.00007092173,0.0001425491,0.0001328279],"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":[0.00003551221,0.00002942348,0.0004088243,0.00002257057,0.000004513114,0.0001384418,0.0004087951,0.002378789,0.002323702,0.9885647,0.0003754041,0.005309308],"study_design_scores_gemma":[0.00002184463,0.00006614948,0.000388566,0.00001452341,0.000008495636,0.000248714,0.0004456775,0.01756056,0.005504711,0.9657924,0.009917417,0.0000309706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7929481,0.0002130186,0.1172866,0.0002942932,0.0001591363,0.00009536587,0.0002053289,0.0002286116,0.08856948],"genre_scores_gemma":[0.9664667,0.0001370369,0.01515055,0.00007363141,0.00008072211,0.00004277355,0.000162369,0.00005773182,0.01782844],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007797362,"threshold_uncertainty_score":0.02608478,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1194284063222028,"score_gpt":0.227832470231508,"score_spread":0.1084040639093052,"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."}}