{"id":"W4284899339","doi":"10.1017/s001309152200027x","title":"On the analyticity of WLUD∞ functions of one variable and WLUD∞ functions of several variables in a complete non-Archimedean valued field","year":2022,"lang":"en","type":"article","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Differentiable function; Interval (graph theory); Mathematics; Analytic function; Field (mathematics); Combinatorics; Order (exchange); Function (biology); Cauchy distribution; Mathematical analysis; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00236705,0.0004538377,0.0004404263,0.00163015,0.0008754397,0.002516451,0.0006847313,0.0006509601,0.001125307],"category_scores_gemma":[0.005536743,0.0002693559,0.0005760984,0.000620401,0.005556081,0.004426179,0.001229773,0.001716572,0.000132101],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002346792,"about_ca_system_score_gemma":0.0007092861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001079735,"about_ca_topic_score_gemma":0.0004280942,"domain_scores_codex":[0.9994166,0.0002366951,0.00003295606,0.0001023679,0.0001197359,0.00009158338],"domain_scores_gemma":[0.9968538,0.001549108,0.0004956124,0.0001736833,0.0005168958,0.0004108499],"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":[0.0000699399,0.00001910255,0.001366261,0.00003821241,0.000009852141,0.000242426,0.0003516623,0.004609324,0.003248571,0.9869762,0.0002285553,0.002839997],"study_design_scores_gemma":[0.00002933029,0.0001271967,0.003365428,0.0001029469,0.00002284755,0.0005221632,0.001126267,0.09104384,0.006221191,0.8924841,0.00490263,0.00005205113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.8471566,0.002478858,0.1163586,0.002066471,0.00008644882,0.00002446376,0.00008174902,0.00006021573,0.03168648],"genre_scores_gemma":[0.9925227,0.0004750338,0.004658481,0.00008812662,0.00007344894,0.00002360163,0.00003207764,0.0000178312,0.002108674],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.002516451,"threshold_uncertainty_score":0.01702732,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02729813876652284,"score_gpt":0.2453993607050174,"score_spread":0.2181012219384946,"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."}}