{"id":"W2790889387","doi":"10.28924/2291-8639-16-2018-178","title":"On Giaccardi's Inequality and Associated Functional in the Plane","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Inequality; Plane (geometry); Class (philosophy); Kantorovich inequality; Pure mathematics; Mathematical analysis; Mathematical economics; Calculus (dental); Linear inequality; Geometry; Epistemology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001785702,0.001067987,0.000830838,0.002368696,0.001035488,0.00180644,0.001241413,0.00187425,0.006146446],"category_scores_gemma":[0.005753075,0.0002776395,0.001208077,0.00233631,0.002607533,0.004062551,0.002071961,0.003220898,0.0009137418],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001501503,"about_ca_system_score_gemma":0.0005903307,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003252669,"about_ca_topic_score_gemma":0.001476502,"domain_scores_codex":[0.9989059,0.0003534127,0.00004435628,0.0002741462,0.0002257337,0.0001964826],"domain_scores_gemma":[0.9977563,0.001190428,0.0002224433,0.0001375604,0.0004789472,0.0002143521],"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":[0.00004355569,0.00001009928,0.0005040866,0.0001074028,0.00001921176,0.0002126606,0.0001396978,0.003313007,0.002189992,0.980379,0.002882759,0.01019849],"study_design_scores_gemma":[0.0000175275,0.0001209473,0.002850311,0.0001617824,0.00005641207,0.000934326,0.0001583045,0.06678799,0.001696043,0.9011385,0.02599999,0.00007776199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1017449,0.01815701,0.7062246,0.009582598,0.001757546,0.00006427947,0.0004417786,0.0001858435,0.1618415],"genre_scores_gemma":[0.7977731,0.01583488,0.1354484,0.003160823,0.002610037,0.0002237689,0.0005169536,0.0003419763,0.04409015],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006146446,"threshold_uncertainty_score":0.02056193,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06466976820285962,"score_gpt":0.3681054238385432,"score_spread":0.3034356556356836,"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."}}