{"id":"W4413186338","doi":"10.55016/ojs/cdm.v7i2.62119","title":"A discrete Faà di Bruno's formula","year":2012,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fundação para a Ciência e a Tecnologia; Universidade do Minho","keywords":"Mathematics; Combinatorics; Mathematical economics","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":[0.00105285,0.0004049802,0.0005841358,0.001236464,0.0009063537,0.001439767,0.001151622,0.001077622,0.007326151],"category_scores_gemma":[0.003543968,0.0002315287,0.000767117,0.0005525319,0.002606875,0.003001276,0.001595008,0.002489277,0.001168181],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001454584,"about_ca_system_score_gemma":0.0005217041,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001686988,"about_ca_topic_score_gemma":0.001207778,"domain_scores_codex":[0.9994443,0.00009305419,0.0000264241,0.0001178049,0.0002346136,0.00008378021],"domain_scores_gemma":[0.9994563,0.0001941479,0.0000290728,0.00008613205,0.0001715741,0.00006270975],"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":[0.000003362481,0.000002623545,0.00004270486,0.00001026677,0.000001596447,0.00001795628,0.0000333216,0.0002982615,0.0003281558,0.9953213,0.0005912394,0.003349294],"study_design_scores_gemma":[0.000006667888,0.000007345682,0.00008612606,0.0000162194,0.000003651423,0.0000823012,0.00002014732,0.009328466,0.000659333,0.9788548,0.01092618,0.000008703501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04208185,0.00205602,0.6746908,0.005013678,0.00175509,0.00006636285,0.0002924686,0.0003307505,0.273713],"genre_scores_gemma":[0.6841205,0.001410032,0.2292168,0.002677665,0.0007930167,0.0001686962,0.0002418749,0.0004226709,0.08094871],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007326151,"threshold_uncertainty_score":0.02450842,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0380368679051484,"score_gpt":0.3495598248174457,"score_spread":0.3115229569122973,"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."}}