{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007676806,0.0002091673,0.0004671134,0.0002153724,0.0001784739,0.00009288918,0.0003227551,0.0001117042,0.03965966],"category_scores_gemma":[0.00004666429,0.0002592983,0.0002329218,0.00006371419,0.0001256706,0.0003155343,0.00007226161,0.0001585199,0.04390003],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002114734,"about_ca_system_score_gemma":0.000006782952,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002815856,"about_ca_topic_score_gemma":0.00000508865,"domain_scores_codex":[0.9983053,0.00002946043,0.0007269488,0.0005430039,0.000009669776,0.0003855775],"domain_scores_gemma":[0.9987533,0.0001102534,0.000304337,0.000694464,0.00000760345,0.0001300417],"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":[0.00001035816,0.0000369462,0.000742963,0.000007193701,0.00006107545,0.00000128192,0.0003239089,0.0001820334,0.000003494803,0.9850813,0.01144194,0.002107479],"study_design_scores_gemma":[0.0005512165,0.00004541843,0.0003598599,0.000008367124,0.000009444714,0.00001790714,0.0001330018,0.003717106,0.0000180949,0.6077581,0.3869953,0.0003861551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1554856,0.006389549,0.008323163,0.0009678699,0.001772286,0.0002949851,0.0005443707,0.0002311864,0.825991],"genre_scores_gemma":[0.938648,0.0003488822,0.0002070303,0.0005038903,0.0003592662,0.0000326228,0.00001579927,0.00005466453,0.05982979],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7831624,"threshold_uncertainty_score":0.9999859,"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."}}