{"id":"W2943583494","doi":"10.28924/2291-8639-17-2019-369","title":"On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Naresuan University","keywords":"Mathematics; Functional equation; Cauchy distribution; Stability (learning theory); Quadratic equation; Pure mathematics; Mathematical analysis; Applied mathematics; Partial differential equation; Computer science","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":[0.002309865,0.0009907807,0.0007759764,0.0009873996,0.0008022758,0.001322245,0.0009205561,0.001264055,0.002253518],"category_scores_gemma":[0.006177994,0.0002203417,0.001076696,0.0005566746,0.002236793,0.003204068,0.002711026,0.002080671,0.0002946558],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009051356,"about_ca_system_score_gemma":0.001082746,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002573602,"about_ca_topic_score_gemma":0.001097784,"domain_scores_codex":[0.9990721,0.0003485082,0.00004043288,0.0001296625,0.0003030122,0.0001063068],"domain_scores_gemma":[0.9980856,0.0007656477,0.0002414157,0.00008011921,0.0006066776,0.0002205437],"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":[0.0000673254,0.00002640245,0.000628027,0.0001210129,0.00003890072,0.0001851939,0.0003776228,0.02418071,0.006534613,0.9618845,0.000484626,0.005471022],"study_design_scores_gemma":[0.0000195074,0.0001062778,0.0006380311,0.00003507189,0.00002197622,0.0002110443,0.0002001666,0.5787911,0.002061846,0.4164261,0.001456882,0.00003198882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2826658,0.002085537,0.6859298,0.00184243,0.0002390933,0.00007612719,0.0001244605,0.00008998997,0.0269467],"genre_scores_gemma":[0.9496603,0.0010143,0.03442992,0.0002125087,0.0001958908,0.00008451842,0.0001256596,0.00004713104,0.01422972],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002573602,"threshold_uncertainty_score":0.01221585,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02917808956802832,"score_gpt":0.2812618116809593,"score_spread":0.252083722112931,"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."}}