{"id":"W2024090003","doi":"10.1007/s10208-007-9018-5","title":"Complexity of Bezout’s Theorem VII: Distance Estimates in the Condition Metric","year":2007,"lang":"en","type":"article","venue":"Foundations of Computational Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Metric (unit); Combinatorics; Discrete mathematics","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":[0.003804445,0.001014586,0.002237203,0.003238804,0.001813668,0.005387832,0.00319922,0.002036106,0.009222463],"category_scores_gemma":[0.02081181,0.0007067517,0.001864281,0.002587744,0.005659777,0.02039848,0.00592347,0.005624798,0.0008179285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003993829,"about_ca_system_score_gemma":0.001143301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00218834,"about_ca_topic_score_gemma":0.00095959,"domain_scores_codex":[0.9968002,0.0008467678,0.0001699282,0.0006809443,0.001187374,0.0003148259],"domain_scores_gemma":[0.9859773,0.01019624,0.0006833234,0.001363995,0.001130275,0.0006488591],"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":[0.00003439813,0.00001012891,0.0002428387,0.0000519161,0.00000949324,0.00002229045,0.00009055995,0.002342605,0.0002698973,0.9919639,0.001163018,0.003798884],"study_design_scores_gemma":[0.000006655933,0.0000103587,0.000198329,0.000008647517,0.000006809779,0.00002975056,0.00002642645,0.01748311,0.0002987032,0.9806192,0.001300208,0.00001175701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1688337,0.003384566,0.7327786,0.008721501,0.0004521629,0.00009984955,0.001023916,0.0003641303,0.08434153],"genre_scores_gemma":[0.902953,0.002301081,0.07320912,0.0008148277,0.001265937,0.0001882613,0.0009469767,0.0002796901,0.01804109],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009222463,"threshold_uncertainty_score":0.03085226,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0791133789379064,"score_gpt":0.3651920239053771,"score_spread":0.2860786449674707,"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."}}