{"id":"W1983327435","doi":"10.4153/cmb-2008-007-9","title":"A Note on Integer Symmetric Matrices and Mahler's Measure","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Graph theory and applications","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Discriminant; Integer (computer science); Conjecture; Measure (data warehouse); Combinatorics; Upper and lower bounds; Polynomial; Matrix (chemical analysis); Pure mathematics; Discrete mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001554426,0.0007827171,0.001059082,0.004461519,0.001201658,0.0027507,0.001952344,0.00126374,0.00749885],"category_scores_gemma":[0.01109795,0.0002759021,0.0005306765,0.001899254,0.003599322,0.003941167,0.002221644,0.003751944,0.001228236],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001575582,"about_ca_system_score_gemma":0.0003485087,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000753099,"about_ca_topic_score_gemma":0.0005872393,"domain_scores_codex":[0.9986714,0.000214932,0.0000533177,0.0002616053,0.0005900328,0.0002087367],"domain_scores_gemma":[0.9913985,0.006098814,0.0005648286,0.0006841013,0.0006782961,0.0005756185],"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":[0.00006557577,0.000020611,0.0006984849,0.00007209937,0.00001135254,0.0001071184,0.0001322565,0.002355113,0.002576128,0.9777194,0.003552377,0.01268936],"study_design_scores_gemma":[0.000009754915,0.00004641316,0.0007720749,0.00003328549,0.000008370936,0.0001946937,0.00004871294,0.01073794,0.001891592,0.9804167,0.005809873,0.00003056523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4666439,0.01528989,0.2214033,0.01744512,0.003013303,0.00004614132,0.0007443522,0.001021147,0.2743927],"genre_scores_gemma":[0.9721513,0.001641926,0.01631985,0.0007470782,0.001915386,0.00002922922,0.0001839001,0.000143461,0.006867841],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00749885,"threshold_uncertainty_score":0.02508616,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03435182739881882,"score_gpt":0.2589228737893112,"score_spread":0.2245710463904924,"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."}}