{"id":"W2274312207","doi":"10.1016/j.laa.2016.01.001","title":"Inequalities on the spectral abscissa for matrices arising in a stage-structured population model","year":2016,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Spectroscopy and Quantum Chemical Studies","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Army Research Office; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Stage (stratigraphy); Regular polygon; Matrix (chemical analysis); Population; Combinatorics; Pure mathematics; Geometry","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":[0.0000594205,0.00008572412,0.0000979344,0.00002488654,0.0001660342,0.00002098688,0.0000660123,0.00002225224,0.00004675867],"category_scores_gemma":[0.000009033195,0.00004769899,0.00003306173,0.00008049433,0.000023059,0.00005684446,0.00001855211,0.00005250009,0.00000387704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000125824,"about_ca_system_score_gemma":0.000007150255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004788257,"about_ca_topic_score_gemma":0.00001149366,"domain_scores_codex":[0.9994976,0.000007877366,0.0001452449,0.0001559851,0.00005673322,0.0001365678],"domain_scores_gemma":[0.9996171,0.0001896418,0.00005397945,0.00009671143,0.0000189424,0.0000236496],"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":[0.00001656853,0.00002743252,0.002294473,0.000009491525,0.00001342454,1.166471e-8,0.0001457078,0.00006362412,0.005665593,0.9895335,0.00009098019,0.002139215],"study_design_scores_gemma":[0.0009843758,0.00006337676,0.009364027,0.00006528172,0.00003943453,1.912128e-7,0.0007928213,0.03657263,0.06989181,0.8777845,0.004054253,0.0003872747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9659534,0.00009503337,0.03096623,0.001735522,0.00001263121,0.0004354197,0.0001988012,0.00002038513,0.0005825378],"genre_scores_gemma":[0.9984972,0.00001718419,0.0006096744,0.00006124259,0.0001855,0.0003586444,0.00002141352,0.000007922985,0.0002412572],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.111749,"threshold_uncertainty_score":0.1945108,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02483829318215132,"score_gpt":0.290930147376246,"score_spread":0.2660918541940946,"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."}}