{"id":"W2405037780","doi":"","title":"Several identities involving q-harmonic numbers by q-Chu-Vandermonde convolution formula.","year":2015,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Vandermonde matrix; Convolution (computer science); Harmonic; Pure mathematics; Combinatorics; Artificial intelligence; Computer science; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005170695,0.0003164596,0.0004614449,0.00009818094,0.0001848594,0.0001527451,0.0003730449,0.0001619776,0.00009950919],"category_scores_gemma":[0.001138759,0.0003265826,0.0001320408,0.0002185901,0.0001869847,0.001066481,0.0002236469,0.0002887294,0.0002281213],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004574207,"about_ca_system_score_gemma":0.0001061979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005262962,"about_ca_topic_score_gemma":0.00001879579,"domain_scores_codex":[0.9977469,0.00009749677,0.0005640734,0.0003380877,0.0006900342,0.0005633854],"domain_scores_gemma":[0.9983094,0.0004214034,0.0002500334,0.0004890647,0.0002573226,0.0002727286],"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":[0.00001695476,0.0001461467,0.0002607247,0.0001388756,0.00005914499,0.00001252495,0.001240633,0.000003776428,0.0004008426,0.866155,0.1315492,0.00001621446],"study_design_scores_gemma":[0.001520036,0.00007254685,0.00002410185,0.00008065652,0.00006515037,0.0000254648,0.001656499,0.0006161765,0.0026833,0.9921802,0.0006919934,0.0003838233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9747332,0.001142321,0.00341303,0.0002065212,0.002410271,0.0005845188,0.00002027212,0.0006434559,0.0168464],"genre_scores_gemma":[0.9817822,0.00006203491,0.003265325,0.00008250557,0.00002368384,0.00006022748,0.00002455681,0.00008132696,0.01461814],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1308572,"threshold_uncertainty_score":0.9999186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05180170741059192,"score_gpt":0.3093046022063185,"score_spread":0.2575028947957266,"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."}}