{"id":"W2321861540","doi":"10.4153/cjm-2010-081-9","title":"An Explicit Polynomial Expression for a <i>q</i>-Analogue of the 9- <i>j</i> Symbols","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Polynomial; Symbol (formal); Factorization; Unique factorization domain; Basic hypergeometric series; Hypergeometric function; Limiting; Expression (computer science); Limit (mathematics); Transformation (genetics); Algebra over a field; Pure mathematics; Combinatorics; Discrete mathematics; Arithmetic; Mathematical analysis; Algorithm","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006832109,0.0004490476,0.0003971372,0.00101739,0.001009243,0.001489984,0.0009674661,0.000782083,0.0094907],"category_scores_gemma":[0.001759229,0.0002356574,0.0005552947,0.0008657694,0.002068287,0.002295691,0.000906479,0.001764708,0.001994818],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000702782,"about_ca_system_score_gemma":0.0006151127,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005945825,"about_ca_topic_score_gemma":0.000742203,"domain_scores_codex":[0.9997043,0.00006134261,0.00001644571,0.00005060314,0.0001025637,0.0000646871],"domain_scores_gemma":[0.9995522,0.0001213027,0.00006608601,0.00006438015,0.0001244388,0.00007154998],"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":[0.00002433481,0.0000246104,0.0001238871,0.00005793361,0.000002972415,0.000368316,0.0002431432,0.000741715,0.006704007,0.9843044,0.001166796,0.00623778],"study_design_scores_gemma":[0.00002179447,0.00005401591,0.0005019026,0.00004051555,0.0000120883,0.001045597,0.0001577364,0.0245425,0.006693672,0.9529682,0.0139207,0.00004126105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3377509,0.001146935,0.4391978,0.002365729,0.001284286,0.0001154098,0.0002367618,0.0005833079,0.2173189],"genre_scores_gemma":[0.9018022,0.0006809987,0.06301102,0.0005544104,0.0006512515,0.00005432536,0.00008956771,0.0002634601,0.03289273],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0094907,"threshold_uncertainty_score":0.03174955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03732871528445545,"score_gpt":0.2968833826930397,"score_spread":0.2595546674085842,"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."}}