{"id":"W13527032","doi":"","title":"Norms of circulant and semicirculant matrices and Horadams sequence.","year":2007,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Circulant matrix; Mathematics; Sequence (biology); Combinatorics; Genetics; Biology","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":[0.0003657421,0.0001127759,0.0001895395,0.00008334291,0.0000367332,0.00001551981,0.00007530717,0.00007279414,0.000004381541],"category_scores_gemma":[0.000007984181,0.0001023808,0.00002497869,0.000155465,0.00006185732,0.0000817688,0.00001964819,0.00008600703,0.000002688495],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000015716,"about_ca_system_score_gemma":0.000004614167,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003694963,"about_ca_topic_score_gemma":0.000004026094,"domain_scores_codex":[0.9993712,0.00001075419,0.0002072301,0.0001194243,0.0001079504,0.0001834542],"domain_scores_gemma":[0.999657,0.00006355355,0.00003812594,0.000141081,0.00002106129,0.00007917448],"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":[0.00002686663,0.00005120613,0.08570719,0.0008836332,0.0001786847,0.0001007905,0.002196593,0.00006745737,0.2044528,0.7001473,0.000252835,0.005934675],"study_design_scores_gemma":[0.003320582,0.0003694065,0.1507053,0.0006718913,0.0001815119,0.0008789987,0.002943753,0.00434143,0.1036035,0.7280164,0.003384159,0.001583028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.995343,0.002497008,0.00003470239,0.000005039721,0.0005762988,0.00009876095,0.000005630716,0.00008004847,0.001359547],"genre_scores_gemma":[0.9997389,0.0001905694,0.00002749745,0.000006491548,0.000006327298,0.000002312345,0.000002696406,0.00001504784,0.0000101491],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1008492,"threshold_uncertainty_score":0.4174967,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008280693447397824,"score_gpt":0.2071850667966385,"score_spread":0.1989043733492406,"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."}}