{"id":"W2043373009","doi":"10.4153/cmb-2008-018-6","title":"Wirtinger's Inequalities on Time Scales","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Absolute continuity; Lebesgue integration; Inequality; Bounded function; Class (philosophy); Boundary (topology); Pure mathematics; Lebesgue measure; Scale (ratio); Mathematical analysis","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003730885,0.0002396564,0.0004443385,0.0003011069,0.0002992417,0.00004687516,0.0002711919,0.0001302606,0.03164793],"category_scores_gemma":[0.002146959,0.0002128895,0.0001858227,0.000225591,0.0001881651,0.0000252055,0.0000320737,0.0002070096,0.03994643],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001683802,"about_ca_system_score_gemma":0.0001447846,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005118292,"about_ca_topic_score_gemma":0.0006470621,"domain_scores_codex":[0.9981946,0.0001220804,0.0005198641,0.0002835059,0.0003861289,0.0004938166],"domain_scores_gemma":[0.9978051,0.000916831,0.0001082723,0.0005306514,0.0001069334,0.0005322073],"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":[0.00001900909,0.0004256703,0.0001471611,0.0002186788,0.0002262494,0.0002121914,0.001334087,0.00001296137,0.0002372165,0.8682278,0.1276737,0.001265297],"study_design_scores_gemma":[0.0009923663,0.000229531,0.0004648423,0.0003712793,0.0002459053,0.0001664382,0.0004891292,0.005020023,0.001390306,0.9245507,0.0645955,0.00148399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8869677,0.00003195386,0.003697392,0.007758711,0.00006436064,0.0004322513,0.0001115741,0.0002557539,0.1006803],"genre_scores_gemma":[0.9500927,0.000005878552,0.0160138,0.0009855402,0.0002631203,0.00004964426,0.00004253655,0.00008876097,0.03245806],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06822219,"threshold_uncertainty_score":0.9692373,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05315480614417995,"score_gpt":0.274305162130813,"score_spread":0.221150355986633,"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."}}