{"id":"W2402242051","doi":"","title":"Exponential Operator Decomposition For Carlitz Type Generating Functions.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Operator (biology); Exponential function; Decomposition; Type (biology); Pure mathematics; Algebra over a field; Mathematical analysis","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":[0.001141292,0.0007861377,0.0005662596,0.002606084,0.0009378873,0.002645616,0.000960491,0.0009376205,0.01766226],"category_scores_gemma":[0.003442297,0.0003027104,0.0006760851,0.001382518,0.001782951,0.004923898,0.001418581,0.002365547,0.003823686],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00102625,"about_ca_system_score_gemma":0.0006187196,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007047538,"about_ca_topic_score_gemma":0.0008705657,"domain_scores_codex":[0.9994152,0.0001412251,0.00002725989,0.00008410735,0.000210247,0.000121958],"domain_scores_gemma":[0.9987243,0.0005342655,0.000118559,0.0001560361,0.0003045008,0.0001622122],"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":[0.00001447976,0.00001957354,0.000122179,0.0000182379,0.000002387082,0.00002307655,0.00006510695,0.0003576021,0.000321319,0.9926604,0.001932327,0.004463277],"study_design_scores_gemma":[0.000007065859,0.000007960285,0.0001064824,0.00001070378,0.000002766837,0.00007027752,0.00004093946,0.008027284,0.000380213,0.9891628,0.002174564,0.000008989904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1875826,0.00188752,0.5673828,0.002873633,0.0007484421,0.000113532,0.001055042,0.0007350223,0.2376214],"genre_scores_gemma":[0.8690881,0.001130339,0.04897024,0.0006855897,0.0007831367,0.0001442212,0.0008366019,0.000370951,0.07799099],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01766226,"threshold_uncertainty_score":0.05908614,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01023210964576588,"score_gpt":0.2489844299169159,"score_spread":0.2387523202711501,"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."}}