{"id":"W4205805488","doi":"10.1007/bf03651317","title":"Equality in László Fejes Tóth’s triangle bound for hyperbolic surfaces","year":2011,"lang":"hu","type":"article","venue":"Acta Scientiarum Mathematicarum","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Hyperbolic triangle; Surface (topology); Upper and lower bounds; Geometry; Pure mathematics; Combinatorics; Mathematical analysis; Hyperbolic function; Hyperbolic manifold","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.006948715,0.0009301933,0.001875167,0.0006868385,0.000538811,0.0006882819,0.001377122,0.0005881919,0.004657732],"category_scores_gemma":[0.005074297,0.0007937106,0.0007469411,0.001246435,0.0006340264,0.001128214,0.0003555866,0.0005504072,0.0007641055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002760835,"about_ca_system_score_gemma":0.0003187502,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008392028,"about_ca_topic_score_gemma":0.0002993326,"domain_scores_codex":[0.992362,0.0004988086,0.002971877,0.001254064,0.001275268,0.00163794],"domain_scores_gemma":[0.9942123,0.001930109,0.001244325,0.001673639,0.0004780495,0.000461631],"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":[0.0001789911,0.004284653,0.0001247613,0.004911691,0.0002267323,0.000005842317,0.02894365,6.137012e-7,0.00335092,0.9458796,0.01043531,0.00165717],"study_design_scores_gemma":[0.00287122,0.0003992933,0.0002711795,0.001417741,0.0004468281,0.00002793027,0.006887666,0.06885027,0.01508012,0.8986225,0.003849053,0.001276192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8094916,0.000483706,0.03755821,0.003863072,0.002148333,0.008305165,0.0003799612,0.0005527557,0.1372172],"genre_scores_gemma":[0.8823909,0.00005820912,0.1011051,0.0003086498,0.0002005683,0.0005598594,0.00006574592,0.0001992619,0.0151117],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1221055,"threshold_uncertainty_score":0.9994514,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.173372464773963,"score_gpt":0.3401587570131648,"score_spread":0.1667862922392018,"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."}}