{"id":"W4387789451","doi":"10.1007/978-3-031-37238-4_7","title":"Linear Recurrence Sequences and Further Generalizations","year":2023,"lang":"en","type":"book-chapter","venue":"CMS/CAIMS books in mathematics","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Generalization; Primality test; Impulse (physics); Lucas sequence; Prime (order theory); Perspective (graphical); Combinatorics; Discrete mathematics; Algebra over a field; Pure mathematics; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":false,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000173567,0.0003581425,0.0004878385,0.0001006224,0.0001232715,0.00005496293,0.0002542687,0.0001380594,0.0004670952],"category_scores_gemma":[0.00002432364,0.0003255302,0.0001029508,0.00006913224,0.0002722367,0.00007041958,0.0001614088,0.0003374497,0.0002674384],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002451018,"about_ca_system_score_gemma":0.00005112966,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005206319,"about_ca_topic_score_gemma":0.000005245727,"domain_scores_codex":[0.9985923,0.0000096588,0.0005653215,0.0003733632,0.0001981733,0.0002612056],"domain_scores_gemma":[0.9987506,0.0003071878,0.000278205,0.0004947052,0.0000731066,0.00009622953],"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":[7.434513e-7,0.00002742866,0.000008671405,0.0001204203,0.00003330981,0.000001736913,0.0005529515,0.00005382195,0.00001231528,0.9960939,0.000338069,0.00275659],"study_design_scores_gemma":[0.0001104042,0.00001307424,9.01402e-7,0.0004690364,0.00004642675,0.000001636389,0.0002542441,0.002136186,0.00003786634,0.9777504,0.01883774,0.0003420929],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001497889,0.0001926424,0.09571145,0.0002581111,0.0001464074,0.0008297033,0.0002865231,0.0001506119,0.9022748],"genre_scores_gemma":[0.002295619,0.0003042831,0.06071037,0.00006036672,0.0005190563,0.0002710698,0.0001566212,0.0002270824,0.9354556],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.03500108,"threshold_uncertainty_score":0.9999197,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04004142677324155,"score_gpt":0.2962288793066988,"score_spread":0.2561874525334572,"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."}}