{"id":"W2519986854","doi":"10.13001/1081-3810.3333","title":"Generalizations of the Cauchy and Fujiwara Bounds for Products of Zeros of a Polynomial","year":2016,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Generalization; Upper and lower bounds; Polynomial; Cauchy distribution; Modulus; Product (mathematics); Combinatorics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004820007,0.002582573,0.001395365,0.004828965,0.001699215,0.003553666,0.002237039,0.001467128,0.009814348],"category_scores_gemma":[0.02609783,0.0008594717,0.002099556,0.003186552,0.00409383,0.01413002,0.004630024,0.007171698,0.003135146],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002045368,"about_ca_system_score_gemma":0.001121107,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009526006,"about_ca_topic_score_gemma":0.001107372,"domain_scores_codex":[0.997015,0.0005805387,0.0002046062,0.0007226006,0.001031944,0.0004454805],"domain_scores_gemma":[0.9877082,0.006478465,0.001076709,0.001891595,0.002180522,0.0006645659],"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":[0.0001177734,0.00003550671,0.0004372936,0.0001626843,0.00002736311,0.0002105416,0.0003182917,0.007940492,0.005262345,0.9513641,0.003489045,0.03063469],"study_design_scores_gemma":[0.000009076598,0.00007609657,0.0004825722,0.00008437144,0.00002714904,0.0002883523,0.0000692778,0.03408714,0.004941243,0.9488119,0.01106127,0.00006161125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04093516,0.005505283,0.8680517,0.001892791,0.0006785975,0.0001233672,0.0003685268,0.0003073235,0.08213727],"genre_scores_gemma":[0.6401442,0.00940348,0.3114902,0.001448325,0.003034965,0.0005473419,0.0006996912,0.0007868108,0.03244507],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009814348,"threshold_uncertainty_score":0.03283226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02758767786774267,"score_gpt":0.2877214676727623,"score_spread":0.2601337898050196,"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."}}