{"id":"W2400486338","doi":"","title":"Applications Of Liu's q-Series Expansion Formula.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Series (stratigraphy); Applied mathematics; Calculus (dental); Medicine; Geology; Orthodontics","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":[0.0007856596,0.0006364586,0.0005667844,0.002107783,0.00093112,0.001298067,0.0008511044,0.0007341953,0.01252112],"category_scores_gemma":[0.003074062,0.0002053381,0.0006023065,0.001409372,0.001572964,0.003043079,0.001745756,0.002039667,0.003220047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001084457,"about_ca_system_score_gemma":0.0004485464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009173034,"about_ca_topic_score_gemma":0.001133799,"domain_scores_codex":[0.9996783,0.00009412382,0.0000149597,0.00004228477,0.0001329909,0.00003739808],"domain_scores_gemma":[0.9995196,0.0001910071,0.000037809,0.00006123356,0.0001408333,0.00004960708],"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":[0.00000940577,0.00001116652,0.00007548791,0.00004036691,0.000004715916,0.00006919436,0.00009607766,0.0002816241,0.000378785,0.97802,0.006167332,0.01484585],"study_design_scores_gemma":[0.000009243316,0.000008924221,0.0001619253,0.00002679002,0.000005907034,0.0001562753,0.00003766943,0.003785551,0.0003893127,0.9671373,0.02827247,0.000008644952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02478161,0.01511875,0.2497507,0.009520862,0.005115757,0.00004324298,0.000289939,0.0005835871,0.6947955],"genre_scores_gemma":[0.6687446,0.01219999,0.1224009,0.003362244,0.003910454,0.0001597171,0.0003172827,0.0005095869,0.1883952],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01252112,"threshold_uncertainty_score":0.04188728,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.040031061165935,"score_gpt":0.2947907322538686,"score_spread":0.2547596710879336,"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."}}