{"id":"W1990057087","doi":"10.1016/j.jat.2013.11.013","title":"Common and interlacing zeros of families of Laguerre polynomials","year":2013,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"National Kidney Foundation of South Africa; National Research Foundation","keywords":"Interlacing; Mathematics; Laguerre polynomials; Interval (graph theory); Combinatorics; Zero (linguistics); Integer (computer science); Discrete mathematics; Orthogonal polynomials; Pure mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.001481656,0.0001020983,0.000514883,0.0001903355,0.00003181354,0.00002038608,0.000119485,0.00007050875,0.0003302682],"category_scores_gemma":[0.0007807057,0.00007281661,0.000118857,0.00008891518,0.0001190553,0.0002501997,0.00003883629,0.0001203167,0.000004240736],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001494129,"about_ca_system_score_gemma":0.00002451931,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008762553,"about_ca_topic_score_gemma":7.524567e-7,"domain_scores_codex":[0.9984326,0.0001757627,0.001049206,0.00005826329,0.0001919166,0.00009229697],"domain_scores_gemma":[0.9970741,0.001340073,0.001122898,0.0001670392,0.0002406008,0.0000553255],"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":[0.000209442,0.0004285986,0.0006412059,0.001789484,0.0002576074,8.754591e-7,0.007759963,0.00001413223,0.1037947,0.854577,0.003344918,0.02718211],"study_design_scores_gemma":[0.0005530927,0.0002319654,0.0004094565,0.0004428652,0.0001002723,0.0000456638,0.004001769,0.0003360797,0.08188169,0.9118287,0.000071724,0.00009671303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9734126,0.0001533343,0.02269692,0.0001158906,0.0001047499,0.0002075507,0.000005256461,0.000007355939,0.003296348],"genre_scores_gemma":[0.981643,0.00003179544,0.01803807,0.00002371513,0.00005753234,0.000004072147,5.175195e-7,0.00001215328,0.0001891903],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05725173,"threshold_uncertainty_score":0.3616206,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02487347047517668,"score_gpt":0.2855014896918841,"score_spread":0.2606280192167074,"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."}}