{"id":"W3088805374","doi":"10.1080/00029890.2020.1793635","title":"l’Hôpital’s Rule for Multivariable Functions","year":2020,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Multivariable calculus; Zero (linguistics); Indeterminate; Mathematics; Variable (mathematics); Calculus (dental); Variety (cybernetics); Quotient; Pure mathematics; Philosophy; Mathematical analysis; Medicine; Engineering; Statistics","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":[0.004074595,0.0005547207,0.0006499645,0.001618017,0.001961065,0.003311581,0.001362299,0.001221413,0.004562043],"category_scores_gemma":[0.008925228,0.0004146421,0.001224837,0.0007780304,0.005798732,0.006080383,0.002708111,0.004634907,0.002506047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009050735,"about_ca_system_score_gemma":0.0007948668,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001481721,"about_ca_topic_score_gemma":0.001476277,"domain_scores_codex":[0.9974993,0.0007152138,0.0001685023,0.0004792493,0.0008613791,0.0002763413],"domain_scores_gemma":[0.9980724,0.0007640694,0.00007189378,0.0003444385,0.0006439729,0.0001033038],"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":[0.00001376847,0.000007618806,0.0001174124,0.00002764935,0.000006085967,0.0001250111,0.0002497968,0.00029863,0.00063572,0.9782338,0.004344269,0.01594032],"study_design_scores_gemma":[0.00001321147,0.00002249976,0.0001277897,0.00003970158,0.00001102141,0.0002078866,0.00007927141,0.002868754,0.002289915,0.9312136,0.06309687,0.00002942419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01355994,0.001527013,0.8509035,0.00340075,0.002166663,0.0001035866,0.0002297921,0.0006568518,0.127452],"genre_scores_gemma":[0.4525138,0.00232091,0.4818573,0.004072248,0.001930678,0.0003817405,0.0002191802,0.001031566,0.05567251],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004562043,"threshold_uncertainty_score":0.02154875,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02760059760374201,"score_gpt":0.2829914780884275,"score_spread":0.2553908804846854,"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."}}