{"id":"W1981006054","doi":"10.1016/j.mcm.2011.05.032","title":"Some summation formulas involving harmonic numbers and generalized harmonic numbers","year":2011,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":87,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Ministry of Education, Science and Technology","keywords":"Harmonic number; Harmonic; Mathematics; Series (stratigraphy); Range (aeronautics); Harmonic analysis; Number theory; Mathematical analysis; Pure mathematics; Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004272849,0.0003969349,0.000652089,0.0001143518,0.000246612,0.0001761229,0.0002224644,0.0001544801,0.00009898399],"category_scores_gemma":[0.00005515391,0.0003434127,0.0001283997,0.0001110482,0.0002025255,0.000763588,0.0002992646,0.0002629732,0.00004900311],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005083421,"about_ca_system_score_gemma":0.00001852516,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002536509,"about_ca_topic_score_gemma":0.000004602666,"domain_scores_codex":[0.997792,0.00006888988,0.0007691637,0.000483984,0.000355241,0.0005307344],"domain_scores_gemma":[0.9985919,0.0004983766,0.0002043785,0.0003766562,0.00008044596,0.0002482716],"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":[0.00001905976,0.0001535367,0.00001898241,0.00101719,0.00007999515,0.00001198842,0.004833995,0.0001026086,0.0000834949,0.9929721,0.0001423002,0.000564735],"study_design_scores_gemma":[0.0003737333,0.00003173658,0.000003999186,0.0002156674,0.00006809967,0.00003689777,0.000142698,0.3834448,0.0005750438,0.61483,0.00001867188,0.000258657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.3776742,0.0004022058,0.6203335,0.00004990752,0.0000788183,0.0003201756,0.000002470229,0.0002048507,0.0009339125],"genre_scores_gemma":[0.3629205,0.0003707914,0.635339,0.0001275246,0.0001912477,0.00006165608,0.000004258623,0.00008815275,0.0008968852],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3833421,"threshold_uncertainty_score":0.9999018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1087266322358916,"score_gpt":0.2773350123929414,"score_spread":0.1686083801570498,"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."}}