{"id":"W2023637286","doi":"10.1007/pl00004220","title":"Homothetic functions revisited","year":2002,"lang":"en","type":"article","venue":"Economic Theory","topic":"Economic theories and models","field":"Economics, Econometrics and Finance","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Department of National Defence","funders":"","keywords":"Homothetic transformation; Constant (computer programming); Mathematics; Disjoint sets; Context (archaeology); Class (philosophy); Substitution (logic); Function (biology); Equivalence (formal languages); Constant function; Property (philosophy); Mathematical economics; Pure mathematics; Discrete mathematics; Mathematical analysis; Computer science; Geometry; Piecewise","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":[0.001781749,0.0007383318,0.001099141,0.002477521,0.001722697,0.002768355,0.001015357,0.001853973,0.01876079],"category_scores_gemma":[0.005640515,0.0003740213,0.001033787,0.002829998,0.003568555,0.005515378,0.001843486,0.004333141,0.00212421],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001310321,"about_ca_system_score_gemma":0.0007733469,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001780582,"about_ca_topic_score_gemma":0.0009689591,"domain_scores_codex":[0.9992415,0.0003488586,0.0000281475,0.0001318331,0.0001617852,0.00008799086],"domain_scores_gemma":[0.9982229,0.0008729397,0.000144948,0.0003401807,0.0002899968,0.0001290575],"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":[0.000002396972,0.000002746077,0.00002621901,0.000006191438,0.000002735932,0.00001774382,0.00004503644,0.0001657994,0.0000174868,0.9960244,0.001534735,0.002154636],"study_design_scores_gemma":[0.00000359394,0.000002174005,0.0001049254,0.000007076216,0.000003296576,0.00003943,0.00003871735,0.0009331612,0.00001983535,0.9947031,0.004143069,0.000001682934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.07785994,0.009538945,0.2328549,0.02348332,0.002224744,0.00003864,0.0002784298,0.0002462553,0.6534748],"genre_scores_gemma":[0.7453566,0.006550045,0.02524996,0.003374664,0.002674571,0.00009153223,0.000260197,0.0003073692,0.2161351],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01876079,"threshold_uncertainty_score":0.06276101,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02626244316980704,"score_gpt":0.181594433313244,"score_spread":0.155331990143437,"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."}}