{"id":"W2900384399","doi":"10.1063/1.5088985","title":"<i>SU</i> <i>q</i> (3) corepresentations and bivariate q-Krawtchouk polynomials","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal; Radboud Universiteit; Centre de Recherches Mathématiques","keywords":"Kravchuk polynomials; Mathematics; Bivariate analysis; Orthogonal polynomials; Discrete orthogonal polynomials; Pure mathematics; Hahn polynomials; Combinatorics; Unitary state; Difference polynomials; Discrete mathematics; Classical orthogonal polynomials; Algebra over a field; Wilson polynomials; Gegenbauer polynomials; Statistics","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":[],"consensus_categories":[],"category_scores_codex":[0.0003561681,0.0001726638,0.0005590709,0.00004083397,0.00005376094,0.00008863171,0.0002211436,0.00008384861,0.0001493339],"category_scores_gemma":[0.0002692968,0.0001278272,0.0001856396,0.0001291621,0.00006586103,0.0002420922,0.00008778543,0.0002680751,0.00003623967],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002702998,"about_ca_system_score_gemma":0.00005822893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001591371,"about_ca_topic_score_gemma":7.493085e-8,"domain_scores_codex":[0.9985053,0.00006158704,0.0006540666,0.0001354463,0.0004424571,0.000201161],"domain_scores_gemma":[0.9979795,0.0008977595,0.0005255884,0.0002856682,0.0001671643,0.0001443849],"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":[0.00003587719,0.0001443231,0.0001494893,0.0001263412,0.00009879898,0.000004514373,0.0004378913,0.00001683857,0.001401012,0.9957277,0.001404939,0.0004522388],"study_design_scores_gemma":[0.0009252822,0.0001217335,0.00006763972,0.00009763497,0.00011278,0.00007392599,0.0001285146,0.0002647539,0.001302452,0.996582,0.0001828598,0.0001404136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9761306,0.00008567335,0.01739545,0.0003839887,0.0006464988,0.000266463,0.000003809778,0.00002467557,0.005062842],"genre_scores_gemma":[0.9886119,0.00001493059,0.01045757,0.0001454322,0.0004741744,0.000002212383,4.175118e-7,0.00003292614,0.0002604],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01248134,"threshold_uncertainty_score":0.5212641,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02902909702799402,"score_gpt":0.3014632799379552,"score_spread":0.2724341829099612,"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."}}