{"id":"W2395211072","doi":"","title":"On A Multivariable Extension Of The Hermite And Related Polynomials.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Extension (predicate logic); Mathematics; Hermite polynomials; Multivariable calculus; Pure mathematics; Algebra over a field; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00004374953,0.00006261784,0.0001004297,0.000007530617,0.00008466894,0.000009919164,0.00007484287,0.00001953695,0.0002443097],"category_scores_gemma":[0.00001771471,0.00004022643,0.00003330794,0.00008635232,0.00006208181,0.00004598875,0.00005590314,0.00007326558,0.00003175844],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004458791,"about_ca_system_score_gemma":0.000006299928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003593731,"about_ca_topic_score_gemma":2.348579e-8,"domain_scores_codex":[0.9996178,0.00001676255,0.0001264607,0.00009991074,0.000052857,0.00008620138],"domain_scores_gemma":[0.9994813,0.0001441986,0.00007245487,0.0002361328,0.00003438869,0.00003156151],"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":[0.000001633921,0.0000660476,0.0002072357,0.000002822818,0.000008823306,1.741241e-8,0.00004521391,0.00000804514,0.003304854,0.9946247,0.0003078734,0.001422733],"study_design_scores_gemma":[0.0002902721,0.00001478944,0.001668091,0.00002474826,0.000006760473,1.814403e-7,0.00006090921,0.0002944438,0.004803209,0.9925847,0.0002039463,0.00004793638],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9787647,0.00001256376,0.0001204049,0.0002302924,0.0001380749,0.0002640655,0.000003574071,0.00001129162,0.02045508],"genre_scores_gemma":[0.9987674,7.306784e-7,0.0002687197,0.00002202749,0.00000296772,0.00003213064,0.000001147684,0.000007476336,0.0008973699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02000277,"threshold_uncertainty_score":0.267502,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005336094320283439,"score_gpt":0.2261872257014924,"score_spread":0.2208511313812089,"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."}}