{"id":"W3006779249","doi":"10.1007/978-3-030-41258-6_29","title":"Distributive Laws Between the Operads $${{\\,\\mathrm{\\textit{Lie}}\\,}}$$ and $${{\\,\\mathrm{\\textit{Com}}\\,}}$$","year":2020,"lang":"en","type":"book-chapter","venue":"Communications in computer and information science","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Distributive property; Associative property; Lie algebra; Commutative property; Mathematics; Pure mathematics; Polynomial; Associative algebra; Algebra over a field; Universal enveloping algebra; Algebra representation; Division algebra; Mathematical analysis","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":[0.001301382,0.0006599388,0.0005184154,0.001599122,0.002208178,0.005361564,0.0008074936,0.000674028,0.02036013],"category_scores_gemma":[0.002388564,0.0006145496,0.0006694685,0.001560306,0.006373516,0.008047464,0.002197336,0.003676152,0.003869891],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001673697,"about_ca_system_score_gemma":0.001087121,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001267361,"about_ca_topic_score_gemma":0.001855328,"domain_scores_codex":[0.9988194,0.0002762538,0.00005747591,0.0002808148,0.0004103953,0.0001555891],"domain_scores_gemma":[0.998667,0.0006362195,0.00008159904,0.000184071,0.000291973,0.0001390808],"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":[0.000004990643,0.000007022656,0.00001496871,0.000008282045,0.000001148044,0.000006859022,0.00008663742,0.00002205647,0.0001103707,0.9929869,0.002387132,0.00436371],"study_design_scores_gemma":[0.00001104422,0.000009526563,0.0001630052,0.0000215515,0.000005102213,0.00007981272,0.00008406045,0.000390265,0.0005057506,0.9468132,0.05190639,0.00001034785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02373744,0.004719934,0.2234477,0.004039365,0.002006898,0.00009626184,0.0008905882,0.0007123924,0.7403494],"genre_scores_gemma":[0.4914143,0.007008211,0.1113129,0.002901604,0.003297197,0.000521394,0.001238719,0.0009515713,0.381354],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02036013,"threshold_uncertainty_score":0.06811148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09013123938269249,"score_gpt":0.3510109084479396,"score_spread":0.2608796690652472,"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."}}