{"id":"W4412321406","doi":"","title":"Separation bounds for real roots of polynomial systems","year":2011,"lang":"en","type":"article","venue":"","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Separation (statistics); Polynomial; Mathematics; Combinatorics; Statistics; Mathematical analysis","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":[0.005061093,0.002131036,0.00202871,0.003148208,0.002113258,0.005930428,0.003315453,0.00182714,0.0195925],"category_scores_gemma":[0.02919533,0.001189647,0.00157396,0.002808124,0.003783935,0.01310361,0.007073531,0.01175125,0.004318486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003945238,"about_ca_system_score_gemma":0.002432825,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001290589,"about_ca_topic_score_gemma":0.001969562,"domain_scores_codex":[0.9954844,0.001003482,0.0001743361,0.0007635652,0.00162391,0.0009503457],"domain_scores_gemma":[0.9685076,0.02345351,0.001317214,0.002951165,0.00224878,0.00152155],"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":[0.001118177,0.000216159,0.0009290402,0.0005377654,0.0001116048,0.0001156872,0.0004933434,0.03556685,0.005818769,0.8569257,0.01734632,0.08082066],"study_design_scores_gemma":[0.00005991148,0.00005580265,0.0002578544,0.00007055711,0.00005596541,0.00006443048,0.0000675424,0.1026042,0.002740839,0.887427,0.006562977,0.00003288628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05632611,0.005936281,0.8724564,0.005350105,0.0005411098,0.0001167135,0.0004747356,0.001538496,0.05725992],"genre_scores_gemma":[0.8252689,0.003706891,0.140215,0.001341589,0.001184674,0.0002719295,0.00123522,0.001233888,0.02554201],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0195925,"threshold_uncertainty_score":0.06554341,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03455441020241017,"score_gpt":0.2708695511149486,"score_spread":0.2363151409125384,"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."}}