{"id":"W2963263803","doi":"10.1016/j.jmaa.2018.12.047","title":"On (signed) Takagi–Landsberg functions: pth variation, maximum, and modulus of continuity","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd","keywords":"Mathematics; Modulus of continuity; Bernoulli's principle; Mathematical analysis; Convolution (computer science); Oscillation (cell signaling); Absolute continuity; Modulus; Sequence (biology); Function (biology); Combinatorics; Pure mathematics; Type (biology); Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0004541347,0.00009549629,0.0004845874,0.0002369945,0.000136935,0.00003802132,0.0001190743,0.00006096693,0.0001345675],"category_scores_gemma":[0.0001679253,0.00008253584,0.0001296254,0.000698298,0.0001467397,0.00008123929,0.00002952799,0.00008772685,0.00003723655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001549467,"about_ca_system_score_gemma":0.00001459908,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001519307,"about_ca_topic_score_gemma":0.000007147393,"domain_scores_codex":[0.998827,0.000004726882,0.0008162609,0.0001833869,0.00006587074,0.0001027965],"domain_scores_gemma":[0.998542,0.0001589617,0.0007666611,0.0002044634,0.0002352993,0.00009263608],"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":[0.00001237619,0.0002131217,0.0006764827,0.0000259498,0.0002310963,1.085912e-7,0.0001584272,0.000006148336,0.00004254326,0.9962442,0.00007643503,0.002313121],"study_design_scores_gemma":[0.0002758932,0.0001367084,0.01671627,0.00001439463,0.0002804133,0.000007267648,0.00005637565,0.002648125,0.00002860368,0.9784319,0.001309022,0.00009503548],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02163815,0.0003357711,0.9744185,0.0004505636,0.00001708233,0.0001309108,0.0000648291,0.000005544121,0.002938681],"genre_scores_gemma":[0.9915676,0.00004980194,0.008001382,0.00006701259,0.0001322958,0.00003529277,0.000003617816,0.000006843908,0.0001361895],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9699294,"threshold_uncertainty_score":0.3365714,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01336760976644646,"score_gpt":0.2261898796735488,"score_spread":0.2128222699071023,"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."}}