{"id":"W3150070852","doi":"","title":"Identities Involving the Fibonacci Polynomials.","year":2009,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Mathematics; Fibonacci polynomials; Pure mathematics; Combinatorics; Algebra over a field; Difference polynomials; Orthogonal polynomials","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":[0.001241677,0.0008764305,0.0007871974,0.002907604,0.0033415,0.004663482,0.0008540546,0.001564645,0.01628979],"category_scores_gemma":[0.005187052,0.0004473845,0.001167853,0.002022303,0.003184109,0.006842556,0.00198187,0.002813712,0.005930684],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001617136,"about_ca_system_score_gemma":0.001274216,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001750168,"about_ca_topic_score_gemma":0.002417004,"domain_scores_codex":[0.998674,0.0003352212,0.00008032165,0.0001649331,0.0005654523,0.0001799316],"domain_scores_gemma":[0.9986215,0.0005560644,0.0001353846,0.0002213952,0.0003596674,0.0001061143],"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":[0.000003619625,0.000002591724,0.00002614607,0.00001578011,0.000001566384,0.00003588152,0.00005573919,0.00007948351,0.0001472286,0.9944465,0.002234369,0.002951046],"study_design_scores_gemma":[0.000003321447,0.000003842488,0.00006877136,0.00001748518,0.000003379226,0.0001482116,0.0000368662,0.0007007207,0.0002556609,0.9851788,0.01357475,0.000008192876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03292336,0.008354686,0.2234032,0.003644287,0.003539794,0.00009336521,0.0006941613,0.0003594749,0.7269877],"genre_scores_gemma":[0.6781463,0.00825357,0.1023457,0.002967482,0.004027562,0.0002235876,0.0009630219,0.000402445,0.2026704],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01628979,"threshold_uncertainty_score":0.0544948,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00886453314740844,"score_gpt":0.2577756218206085,"score_spread":0.2489110886732001,"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."}}