{"id":"W2793468188","doi":"10.5539/jmr.v10n2p104","title":"Characterization of Orlicz Sobolev Spaces","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Sobolev space; Characterization (materials science); Omega; Pure mathematics; Sobolev inequality; Combinatorics; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003160695,0.0001044049,0.00038342,0.0004925726,0.0001121165,0.00006744055,0.0004150658,0.00008708252,0.0004887055],"category_scores_gemma":[0.003033356,0.00008040473,0.0001225843,0.0004736045,0.0002828267,0.0001900872,0.0001107168,0.0003384514,0.00008372268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005103014,"about_ca_system_score_gemma":0.0001994739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004118173,"about_ca_topic_score_gemma":0.00001438296,"domain_scores_codex":[0.9971886,0.00023508,0.0009076321,0.00009170734,0.001307799,0.0002691344],"domain_scores_gemma":[0.9956533,0.0008667816,0.0007022101,0.0003267679,0.002333022,0.0001179518],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00005726803,0.001304815,0.0001857969,0.0005313161,0.0001466664,0.000007870108,0.004760866,7.772484e-7,0.879895,0.110523,0.001275161,0.001311434],"study_design_scores_gemma":[0.001063633,0.001324583,0.000924286,0.0009025875,0.0001105921,0.00008688476,0.001596535,0.004242247,0.546222,0.4412567,0.00203896,0.0002309973],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9541011,0.00001175297,0.04335737,0.0004054594,0.000171576,0.0001999149,0.00001023702,0.0000102196,0.001732343],"genre_scores_gemma":[0.9497102,0.00003695006,0.04857688,0.000006871249,0.0007733334,0.000003507911,0.000002344608,0.00003661477,0.0008532792],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3336731,"threshold_uncertainty_score":0.5350983,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2795404550911817,"score_gpt":0.4847160439374512,"score_spread":0.2051755888462695,"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."}}