{"id":"W1971174562","doi":"10.4153/cjm-2006-039-5","title":"Karamata Renewed and Local Limit Results","year":2006,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Radius of convergence; Limit (mathematics); Interval (graph theory); Function (biology); Convergence (economics); RADIUS; Constant (computer programming); Unit (ring theory); Series (stratigraphy); Mathematical analysis; Unit interval; Combinatorics; Unit circle; Analytic function; Pure mathematics; Power series","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":[0.001129237,0.0001998733,0.0005090115,0.00027695,0.000153544,0.0001219976,0.0002440247,0.0001417652,0.0001756653],"category_scores_gemma":[0.001471937,0.0001593539,0.0001272649,0.0001764413,0.0001845684,0.0001281755,0.00001985446,0.0002339221,0.00003033789],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009327472,"about_ca_system_score_gemma":0.0004185918,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008144228,"about_ca_topic_score_gemma":0.01002261,"domain_scores_codex":[0.9980585,0.00005205102,0.001158281,0.000129303,0.0002470065,0.0003548694],"domain_scores_gemma":[0.997366,0.001002055,0.0005374635,0.0003575791,0.0002232078,0.0005137579],"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":[0.00003503986,0.0002515487,0.0001972562,0.0007029487,0.0001404932,0.0002748742,0.0015803,0.00005633552,0.0001934997,0.7205127,0.2735843,0.00247063],"study_design_scores_gemma":[0.001387404,0.0002206433,0.0002026583,0.0005909699,0.0002426009,0.00144423,0.001224173,0.001155896,0.0008801995,0.9532758,0.03897501,0.0004004087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.80488,0.001534695,0.1027637,0.004571144,0.001112541,0.0006959451,0.0002388303,0.0000780156,0.08412505],"genre_scores_gemma":[0.8861791,0.00002095848,0.1099944,0.0001096796,0.0004826924,0.000003510036,0.000004657177,0.00005850319,0.003146474],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2346093,"threshold_uncertainty_score":0.6498262,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03827541556213038,"score_gpt":0.2568766790106378,"score_spread":0.2186012634485074,"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."}}