{"id":"W1969851113","doi":"10.1016/j.jmaa.2009.03.011","title":"Product inequalities for norms of linear factors","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Inequality; Norm (philosophy); Product (mathematics); Polynomial; Pure mathematics; Mathematical analysis; Geometry; Law","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000815011,0.0001319741,0.0007913796,0.00025622,0.00009473294,0.0000230782,0.0001492508,0.00005172829,0.0001470996],"category_scores_gemma":[0.000704553,0.0000810005,0.0004469954,0.0004731609,0.00006417646,0.00008073956,0.00001452639,0.00009357177,0.000001719457],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001101698,"about_ca_system_score_gemma":0.00002580345,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001134302,"about_ca_topic_score_gemma":0.000001069376,"domain_scores_codex":[0.9983642,0.00002924541,0.001121779,0.0001163012,0.0002361232,0.0001323386],"domain_scores_gemma":[0.9973136,0.001305742,0.0006630711,0.0002631629,0.0003414791,0.0001129244],"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":[0.00002306815,0.0008654454,0.0002491008,0.0004462921,0.0007586151,1.879156e-7,0.0006111037,0.00001808777,0.001261865,0.9922131,0.0006181833,0.002934895],"study_design_scores_gemma":[0.0002456512,0.0001946986,0.0003992672,0.00004968833,0.002180601,0.000008584806,0.0004635003,0.0008583784,0.004030153,0.9899317,0.001508733,0.0001290551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2090641,0.0001137524,0.7888327,0.000756757,0.00001147167,0.0003758112,0.00003563099,0.00001248021,0.0007973266],"genre_scores_gemma":[0.8763596,0.00004064593,0.1227477,0.00003712525,0.0002062498,0.00002803103,0.000005311502,0.00001084005,0.0005644773],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6672955,"threshold_uncertainty_score":0.3303105,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06300940238820835,"score_gpt":0.350753025867951,"score_spread":0.2877436234797426,"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."}}