{"id":"W2918673021","doi":"","title":"On Fibonacci and Lucas Generalized Octonions.","year":2018,"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; Lucas number; Lucas sequence; Fibonacci polynomials; Pisano period; Pure mathematics; Algebra over a field; Discrete mathematics; Orthogonal polynomials; Classical 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":[0.0006054207,0.000961725,0.0007112754,0.003119351,0.002354816,0.003031065,0.0007365341,0.001479018,0.01456129],"category_scores_gemma":[0.002838255,0.0003946486,0.0007835067,0.001812067,0.003579554,0.005490964,0.001989139,0.002355128,0.002668765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001799684,"about_ca_system_score_gemma":0.0006007614,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001999688,"about_ca_topic_score_gemma":0.002946607,"domain_scores_codex":[0.9995666,0.0001239359,0.00002126398,0.00005444591,0.0001310771,0.0001027054],"domain_scores_gemma":[0.9992834,0.0003224609,0.00008637591,0.00008278567,0.0001398595,0.00008514617],"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":[0.000004695303,0.000003206639,0.00002710792,0.00001268242,0.000001220446,0.00003361845,0.00005448493,0.0001826135,0.00008979638,0.9963148,0.001288534,0.001987232],"study_design_scores_gemma":[0.000003125701,0.000004239694,0.00007251402,0.00001479057,0.00000181555,0.00006997521,0.00004617657,0.0008138684,0.00005930756,0.9928939,0.006014388,0.000005866718],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1448166,0.01594378,0.1109747,0.007273731,0.003596067,0.0001108769,0.0005840765,0.0003422686,0.7163579],"genre_scores_gemma":[0.8225581,0.008162098,0.03593907,0.002734938,0.002376144,0.0001788508,0.0005928774,0.000261885,0.127196],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01456129,"threshold_uncertainty_score":0.04871237,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00944649346428206,"score_gpt":0.2757388518394225,"score_spread":0.2662923583751404,"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."}}