{"id":"W2029600638","doi":"10.1007/s00365-009-9046-2","title":"On Polynomial Inequalities on Exponential Curves in ℂ n","year":2009,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Holomorphic function; Polynomial; Bernstein inequalities; Exponential function; Bernstein polynomial; Complex quadratic polynomial; Combinatorics; Exponential polynomial; Inequality; Type (biology); Pure mathematics; Discrete mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002206562,0.0001361833,0.0001988742,0.0001678411,0.00007468875,0.00001955499,0.00007241878,0.00006951428,0.0001797766],"category_scores_gemma":[0.0003928326,0.0001274999,0.0000528176,0.000152451,0.00006760288,0.0001388467,0.000009426868,0.0001622154,0.00004664741],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007713348,"about_ca_system_score_gemma":0.00002980656,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009603537,"about_ca_topic_score_gemma":0.000003023694,"domain_scores_codex":[0.9990164,0.0001081056,0.0002877577,0.0002041327,0.0002193487,0.0001642787],"domain_scores_gemma":[0.9993591,0.0002474773,0.0001186683,0.0001946465,0.0000430997,0.00003698545],"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":[0.0002679716,0.0003019343,0.0001393367,0.00006434319,0.00001741091,0.000003722962,0.0007989829,0.00001103305,0.001513925,0.9741602,0.008730502,0.01399062],"study_design_scores_gemma":[0.003083428,0.0007271002,0.008891242,0.001011689,0.00005777293,0.00002949458,0.001300917,0.001994405,0.01622025,0.9657893,0.0002775958,0.0006167992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9657568,0.00002552704,0.006114734,0.0005284977,0.0003830077,0.0004205412,0.00002060502,0.0000927125,0.02665751],"genre_scores_gemma":[0.9967905,0.000008283034,0.002439826,0.0003486075,0.0001066581,0.00003119638,0.00003719616,0.00000929489,0.0002283918],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03103368,"threshold_uncertainty_score":0.5199293,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06210196710569408,"score_gpt":0.3084670660099088,"score_spread":0.2463650989042147,"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."}}