{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004443059,0.0001150684,0.0001309657,0.00005199248,0.0003483979,0.0001938986,0.0003754583,0.00005816328,0.00001896081],"category_scores_gemma":[0.00006800885,0.0001137077,0.00006152115,0.0001956979,0.00001849742,0.0003470168,0.00009734466,0.00007754454,0.00007330477],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002893395,"about_ca_system_score_gemma":0.00003769882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006002885,"about_ca_topic_score_gemma":7.624732e-7,"domain_scores_codex":[0.9990616,0.0001090598,0.000182842,0.0002959483,0.0001322118,0.0002183103],"domain_scores_gemma":[0.9992254,0.0001212918,0.00005814571,0.0003627913,0.000150233,0.00008218307],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001051832,0.00005089903,0.000045441,0.000009056898,0.00001225923,7.875143e-7,0.0001041576,0.0001166526,0.007214509,0.9788374,0.001960146,0.01163812],"study_design_scores_gemma":[0.002318697,0.0007642698,0.0001855108,0.00003102075,0.00003077969,0.00002230137,0.00003590168,0.4760974,0.03231269,0.4473486,0.04025169,0.000601144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4579051,0.00008948014,0.5315294,0.0002551755,0.008893258,0.0002628756,0.000003211071,0.0002296412,0.0008318556],"genre_scores_gemma":[0.969628,0.000002144596,0.02962763,0.0002241966,0.0001131317,0.0000396702,0.00001678855,0.00001225009,0.0003361234],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5314888,"threshold_uncertainty_score":0.4636865,"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."}}