{"id":"W2955424465","doi":"10.3390/math7070577","title":"Some Properties and Generating Functions of Generalized Harmonic Numbers","year":2019,"lang":"en","type":"article","venue":"Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Laplace transform; Mathematics; Type (biology); Harmonic; Applied mathematics; Order (exchange); Algorithm; Mathematical analysis; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009233526,0.0005591553,0.0004518125,0.002342222,0.001000188,0.001571334,0.0008410921,0.000835304,0.006527362],"category_scores_gemma":[0.002783002,0.0001826208,0.0006236688,0.001078546,0.001578558,0.002789088,0.0009229603,0.001351811,0.0009098459],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009751084,"about_ca_system_score_gemma":0.0004659089,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004427274,"about_ca_topic_score_gemma":0.0003145933,"domain_scores_codex":[0.9996676,0.00009080522,0.00001681738,0.00004593217,0.000114705,0.00006402955],"domain_scores_gemma":[0.9992114,0.0003261402,0.0001368566,0.0000755105,0.0001502137,0.00009982873],"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":[0.000004060756,0.000007229628,0.00009832655,0.00002468444,0.00000188905,0.00005276354,0.0001017214,0.0009479155,0.0006931223,0.9935278,0.00032108,0.00421949],"study_design_scores_gemma":[0.000005471377,0.00002254187,0.0003090359,0.00002589614,0.000004092421,0.0002050869,0.00008097643,0.01980654,0.0008653427,0.9733664,0.005288529,0.00002007624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3704563,0.006295792,0.4359609,0.002132846,0.0009337,0.0001148177,0.0003076371,0.0002513609,0.1835467],"genre_scores_gemma":[0.9162076,0.003586131,0.04584888,0.0004342744,0.001422281,0.0001231233,0.0002161687,0.0001745882,0.0319869],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006527362,"threshold_uncertainty_score":0.02183622,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07737947560362408,"score_gpt":0.2882744919347279,"score_spread":0.2108950163311039,"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."}}