{"id":"W1994966289","doi":"10.1002/mana.200910837","title":"Perturbation of complex polynomials and normal operators","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Austrian Science Fund","keywords":"Mathematics; Absolute continuity; Monic polynomial; Eigenvalues and eigenvectors; Differentiable function; Pure mathematics; Perturbation (astronomy); Order (exchange); Combinatorics; Mathematical analysis; Discrete mathematics; Polynomial","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":[0.0003500564,0.0003222128,0.000315356,0.0008161581,0.00042147,0.0008281964,0.0003345263,0.0004218429,0.001496484],"category_scores_gemma":[0.002248697,0.0001427789,0.0002128121,0.0003695037,0.001854685,0.0009873413,0.0007487996,0.000707062,0.0001872708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008489329,"about_ca_system_score_gemma":0.0002048738,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006018509,"about_ca_topic_score_gemma":0.0002605548,"domain_scores_codex":[0.9997112,0.00006056734,0.000009599701,0.00006400921,0.0001105133,0.00004403352],"domain_scores_gemma":[0.9993722,0.0001785718,0.0001648549,0.0000752956,0.00009317268,0.0001159528],"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":[0.0002010809,0.00004549603,0.002703841,0.00006138378,0.00001974576,0.0005467715,0.000481956,0.04858059,0.048093,0.8853354,0.0005614057,0.01336935],"study_design_scores_gemma":[0.00003139838,0.0002229735,0.006486733,0.00002324317,0.00001299123,0.001164668,0.0003542477,0.3620677,0.0172978,0.607749,0.004527001,0.0000622775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9232658,0.0002826607,0.06636827,0.0002737759,0.00004052805,0.00001420666,0.00004031403,0.00009267597,0.00962186],"genre_scores_gemma":[0.9960905,0.00006147653,0.002008056,0.000009873338,0.00002003419,0.000003119723,0.00001426743,0.00001038327,0.001782249],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001496484,"threshold_uncertainty_score":0.006159484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04835681318442493,"score_gpt":0.3070385593621725,"score_spread":0.2586817461777476,"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."}}