{"id":"W2767398938","doi":"","title":"The Combinatorial Representation of Jacobsthal and Jacobsthal Lucas Matrix Sequences.","year":2017,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Representation (politics); Combinatorics; Matrix representation; Algebra over a field; Pure mathematics; Chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001732702,0.0001180218,0.0001956898,0.00001180968,0.0009034883,0.0001413373,0.0003644137,0.00003465011,0.00003464616],"category_scores_gemma":[0.00007699818,0.00008867074,0.00006829782,0.00005727356,0.0004243863,0.0001883758,0.0001607169,0.0001205365,0.00001087887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001057783,"about_ca_system_score_gemma":0.00002618187,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001102339,"about_ca_topic_score_gemma":8.430515e-7,"domain_scores_codex":[0.9991721,0.00003105334,0.0002533112,0.0001901997,0.0001656832,0.0001876877],"domain_scores_gemma":[0.9985702,0.0003215692,0.0003130634,0.0006288392,0.00009502269,0.00007128133],"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":[0.0000120374,0.0000538013,0.006796193,0.000006341906,0.00002777629,4.036506e-7,0.00008625255,0.000002062839,0.0003304813,0.9897999,0.0001308525,0.002753906],"study_design_scores_gemma":[0.0006391307,0.00002960326,0.002786655,0.00001300284,0.00002212407,8.457481e-7,0.000332743,0.0001142089,0.004159543,0.9905894,0.001213406,0.00009933868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9695229,0.0001031932,0.0005736049,0.0006259232,0.001322735,0.0003858929,0.00002414657,0.00002498161,0.02741661],"genre_scores_gemma":[0.999157,0.00001597032,0.0002836646,0.000002887774,0.00004593018,0.00005052741,0.000006011748,0.00001219261,0.0004258753],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02963403,"threshold_uncertainty_score":0.6948993,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01548065863887596,"score_gpt":0.3199842809953339,"score_spread":0.3045036223564579,"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."}}