{"id":"W4205867044","doi":"10.4153/s0008439522000054","title":"Stieltjes interlacing of the zeros of","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Clemson University; National Science Foundation","keywords":"Mathematics; Interlacing; Unit circle; Zero (linguistics); Invariant (physics); Pure mathematics; Modular form; Combinatorics; Discrete mathematics; Mathematical physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000786485,0.0001395635,0.0004159392,0.0001184281,0.0002087416,0.00001084901,0.0004916264,0.00005091065,0.05198304],"category_scores_gemma":[0.00156648,0.0001010927,0.0002167362,0.0002562532,0.0001679634,0.00001200473,0.0001873905,0.0002466367,0.0001722072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001078307,"about_ca_system_score_gemma":0.0001920236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000430768,"about_ca_topic_score_gemma":0.0001614417,"domain_scores_codex":[0.9983712,0.0001672395,0.0006730562,0.0001510087,0.0003506615,0.0002868655],"domain_scores_gemma":[0.9978678,0.001060379,0.0002326261,0.0005937354,0.00006505318,0.0001804673],"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":[0.00001037995,0.0001469118,0.00007046392,0.0006356688,0.00004998481,0.000002831911,0.001017063,0.00001406502,0.0006845926,0.9473102,0.04974418,0.0003136372],"study_design_scores_gemma":[0.0003990137,0.0001494023,0.00005893195,0.000300386,0.0001267933,0.0000652521,0.001873466,0.0002955053,0.00556652,0.9208704,0.07000978,0.0002845862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8736253,0.0001299445,0.0041783,0.007301942,0.0005096468,0.00127982,0.000322063,0.00005918334,0.1125938],"genre_scores_gemma":[0.9905775,8.780412e-7,0.00318664,0.000238292,0.00002954503,0.0000645734,0.000001420218,0.00002857946,0.005872567],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1169522,"threshold_uncertainty_score":0.9488836,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02973530350671385,"score_gpt":0.248144742682661,"score_spread":0.2184094391759472,"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."}}