{"id":"W2084441144","doi":"10.1016/s0377-0427(02)00355-2","title":"Remarks on a sum containing factorials","year":2002,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics; Pure mathematics; Algebra over a field","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006942272,0.0001802428,0.0005447782,0.0001389719,0.0001155682,0.00007251686,0.0001201506,0.00008263361,0.0005029424],"category_scores_gemma":[0.0004760433,0.0001295065,0.0001151598,0.0001038279,0.00005311169,0.00006932667,0.00002885669,0.0002143378,0.00003388353],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002862769,"about_ca_system_score_gemma":0.00001948468,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.616529e-7,"about_ca_topic_score_gemma":1.458789e-7,"domain_scores_codex":[0.998318,0.00002584139,0.0009103292,0.0001080419,0.0004727728,0.0001650144],"domain_scores_gemma":[0.9957775,0.003151388,0.0006626309,0.0001201598,0.0001558481,0.0001324156],"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":[0.00004357053,0.0004584877,0.000004769644,0.0002152636,0.0001109449,0.000006129209,0.0013032,0.0003871241,0.0002096862,0.9833417,0.01128978,0.00262937],"study_design_scores_gemma":[0.0009527526,0.0002736955,0.0000221203,0.0002005821,0.00008877416,0.000161463,0.0003735686,0.004173718,0.0002844191,0.9907645,0.002520681,0.0001837443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5489202,0.0002459296,0.3381762,0.001804053,0.0008876116,0.0007803834,0.00003001522,0.0001035079,0.1090521],"genre_scores_gemma":[0.7450703,0.00002351082,0.2537676,0.0002040131,0.0004815484,0.000006301433,0.00000119043,0.00002896482,0.0004166109],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1961501,"threshold_uncertainty_score":0.5506867,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.060666246048686,"score_gpt":0.2942609820347125,"score_spread":0.2335947359860265,"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."}}