{"id":"W2398255516","doi":"","title":"HIGH ORDER DERIVATIVES AND TWO q-IDENTITIES RELATED TO PRODINGER'S FORMULA","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Order (exchange); Pure mathematics; Business","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":[0.0007180171,0.0006130149,0.0007343016,0.001647154,0.001896495,0.001895006,0.001049686,0.001425147,0.003376682],"category_scores_gemma":[0.001763631,0.0002810018,0.001013934,0.001103272,0.002958379,0.003322283,0.001921476,0.002490584,0.0007893716],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001071024,"about_ca_system_score_gemma":0.0006710533,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001167263,"about_ca_topic_score_gemma":0.0009133609,"domain_scores_codex":[0.9996846,0.00006622032,0.00002643363,0.00005849633,0.00009996529,0.00006429714],"domain_scores_gemma":[0.9995535,0.0001075762,0.00005639296,0.00009103501,0.00008635617,0.0001051007],"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":[0.00001000156,0.000009756093,0.0001125697,0.00001807634,0.000002079662,0.0002514623,0.0001003795,0.0001763729,0.0007725722,0.9943211,0.0008106562,0.003415044],"study_design_scores_gemma":[0.000009715875,0.00001415621,0.000211174,0.00001336084,0.000006331266,0.0005428926,0.00004876486,0.00330637,0.0008558679,0.9897953,0.005177964,0.00001817109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4161317,0.005033902,0.2806849,0.005934583,0.003921113,0.0001084807,0.0003991825,0.0007302544,0.287056],"genre_scores_gemma":[0.9037252,0.001969114,0.04849797,0.001409258,0.001249957,0.00007651513,0.0002006524,0.0001554276,0.04271594],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003376682,"threshold_uncertainty_score":0.01129615,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01849092649665718,"score_gpt":0.294740387397923,"score_spread":0.2762494609012658,"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."}}