{"id":"W2401489826","doi":"","title":"Partial Fraction Decomposition And Determinant Identities.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Fraction (chemistry); Decomposition; Partial fraction decomposition; Pure mathematics; Chemistry; Chromatography; Organic chemistry","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":[0.00006568287,0.00007215371,0.00009482505,0.00002574028,0.000156983,0.00007883016,0.00004585028,0.00004432931,0.0004980461],"category_scores_gemma":[0.0001561494,0.00007104598,0.00002071255,0.00007048315,0.0000496811,0.0001975281,0.00002231316,0.0000641208,0.0002666597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000364728,"about_ca_system_score_gemma":0.000009103972,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002226354,"about_ca_topic_score_gemma":8.374698e-7,"domain_scores_codex":[0.9994388,0.00002747773,0.000184188,0.0001224539,0.0001133673,0.0001136815],"domain_scores_gemma":[0.9994398,0.0002052692,0.00006787769,0.0001230183,0.00008545152,0.00007858567],"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":[0.000001383689,0.00006405155,0.0002315143,0.00001275915,0.000004706115,5.647964e-7,0.00002429733,1.24692e-7,0.0005127949,0.9893913,0.007502025,0.002254509],"study_design_scores_gemma":[0.0002695433,0.0000202855,0.01903612,0.00001000898,0.00001715499,0.000008294947,0.00003588014,0.004097619,0.001213985,0.974904,0.0003011342,0.00008598295],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9312138,0.00001113516,0.06603605,0.0003975511,0.0002503478,0.0003021751,0.00001634175,0.0001082869,0.001664319],"genre_scores_gemma":[0.9970147,0.000006128646,0.002629755,0.00006129116,0.000006107156,0.0001261142,0.00002890628,0.000007640281,0.0001193555],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06580091,"threshold_uncertainty_score":0.5453255,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02818532298065794,"score_gpt":0.3402831637302644,"score_spread":0.3120978407496064,"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."}}