{"id":"W2405270214","doi":"","title":"Values of a Class of Generalized Euler and Bernoulli Numbers.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Bernoulli's principle; Class (philosophy); Euler's formula; Euler number (physics); Bernoulli number; Pure mathematics; Mathematical analysis; Semi-implicit Euler method; Euler equations; Backward Euler method; Computer science; Artificial intelligence; Physics","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":[0.0007817228,0.0006092339,0.0006208062,0.002673982,0.001690074,0.002870006,0.001000244,0.00103769,0.01011003],"category_scores_gemma":[0.004445433,0.0003063538,0.0004219498,0.001596689,0.003122771,0.004768069,0.002350882,0.001834571,0.001287488],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001069138,"about_ca_system_score_gemma":0.0006554464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005550412,"about_ca_topic_score_gemma":0.0005700469,"domain_scores_codex":[0.9993412,0.0001715244,0.00002718371,0.0001195641,0.0002022605,0.0001382103],"domain_scores_gemma":[0.9985861,0.0004656404,0.0002531763,0.0001862374,0.0002166782,0.0002922388],"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":[0.00001288898,0.000005754296,0.0001667758,0.00001306339,0.000002880526,0.00003925307,0.00005586121,0.0002147475,0.0002145263,0.9955263,0.0008300284,0.002917963],"study_design_scores_gemma":[0.000007239923,0.000006477545,0.0002336429,0.00001583984,0.000003092506,0.0001588586,0.00004290137,0.001863673,0.0002071365,0.9930751,0.004376538,0.000009370873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5108109,0.004863233,0.1386775,0.003998186,0.001767464,0.00005621271,0.0007197008,0.0003709153,0.3387359],"genre_scores_gemma":[0.9561716,0.0008562692,0.0146989,0.0002589057,0.0006073597,0.00004363192,0.0002013249,0.00007654968,0.02708562],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01011003,"threshold_uncertainty_score":0.0338214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05285146605033202,"score_gpt":0.3004282449881007,"score_spread":0.2475767789377686,"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."}}